IRLF ELECTRIC PAGET HIGGS. LL.D. GIFT OF ELECTRIC TRANSMISSION OF POWER. ELECTRIC TRANSMISSION OF POWER ITS PRESENT POSITION AND ADVANTAGES. BY PAGET HIGGS, LL.D., D.Sc., TELFOKD PRIZEMAN AND ASSOCIATE OF THE INSTITUTION OF CIVIL ENGINEERS ; AUTHOR OF ' THE ELECTRIC LIGHT IN ITS PRACTICAL APPLICATIONS,' ' ELECTRIC LIGHTING,' ' ELECTRICAL FORMULA ' (MOLESWORTH), ETC. LONDON : E. & F. N. SPON, 46, CHAEING CEOSS. NEW YOEK: 446, BEOOME STEEET. 1879. J, C. Cebrian, PEEFACE. IT is needless to dwell upon the benefits of economical transmission of power. Where distance is involved, none of the existing systems are so nearly perfect as to leave no room for fresh trials ; on the contrary, all kinds of manufactures and trades are alive to a simple means of transmitting power. Extensive experience with dynamo-electric machines and their various uses has shown me that electric trans- mission has before it a very wide field. For this reason, I have collected into the following pages the most re- liable data on this subject, and have added some experi- mental results from my own working. I hope I have furnished to the inquirer that information which will enable him to form his own opinion. It may be well to point out that I do not propose a system of my own nor advocate specially. First describing the machines employed, their relative merits and demerits, there is next considered the me- chanical ratio of the efficiency of this method of trans- mission, and its applicability either to short or long 249962 VI PREFACE. distances. Some objections that have been advanced are met, and in conclusion are given some of the most definite advantages of employing electricity. I hope that the desire to afford information upon a comparatively novel subject may be taken in palliation of shortcomings in style and arrangement. PAGET HIGGS. CONTENTS. CHAPTER I. PAGE DYNAMO-ELECTRIC MACHINES 1 CHAPTER II. THE GRAMME MACHINE CHAPTER III. THE BRUSH MACHINE 11 CHAPTER IV. THE WALLACE-FARMER AND SIEMENS MACHINES 19 CHAPTER V. EFFICIENCY OP DYNAMO-ELECTRIC MACHINES 24 CHAPTER VI. PRACTICABILITY OF TRANSMISSION OF POWER BY ELECTRICITY . 34 yiii CONTENTS. CHAPTER VII. PAGE EFFICIENCY OF COUPLED MACHINES 47 CHAPTER VIII. COMPARATIVE EFFICIENCY or VARIOUS MACHINES 59 CHAPTER IX. OTHER THEORETICAL CONSIDERATIONS 78 CHAPTER X. CONCLUSIONS 85 ELECTEIC TRANSMISSION OF POWER. CHAPTER I. DYNAMO-ELECTRIC MACHINES. WITHOUT the invention of the dynamo-electric machine, transmission of power by electricity could never have become an accomplished fact. But the growth of elec- trical invention has been so rapid that it may be de- sirable to indicate what is meant by a dynamo-electric machine, and advisable briefly to review this branch of electricity. The principles of magneto-electricity were elucidated by Faraday, who found that when a bar of iron is sur- rounded by a coil or helix of wire and a magnet is approached to or drawn from the bar, a current of elec- tricity is induced in the coil. Further, he found that when one pole of the magnet was approached to the bar, the electrical current had a direction opposite to that electrical current produced when the magnet was receded from, the bar : also that the opposite poles of the magnet had opposite actions, or, in other words, produced by the same movement currents of opposite directions. His researches proved that the soft iron and the magnet might change places, and that, generally, electric currents were produced in a coil placed in a magnetic field, either by changes of intensity of this magnetic field, or by the coil being made to cut through magnetic rays of different intensities. 2 ; ELECTRIC TRANSMISSION OF POWER, The practical application of this important addition to electrical knowledge soon appeared in the first magneto- electric machine, constructed in 1833, by Pixii. In this machine a horse-shoe magnet was caused to revolve with its poles before those of a double electro-magnet. This machine had the mechanical disadvantage that the heavier part, the permanent magnet, was put in motion. Clarke improved upon this construction in machines of small dimensions, the magnets in which were fixed, and the coil caused to rotate. Machines virtually on the principle of Clarke's machine, but of larger size, were soon con- structed by Holmes, of London, and the Compagnie 1'Alliance, of Paris. All these machines may be classed as magneto-electric, that is to say, the current produced depends upon the action of magnets upon an electrical circuit. Magneto-electric machines are quite distinct from electro-magnetic machines, in which the electrical current is made to produce movement, being itself generated by a source foreign to the motor. Magneto-electric machines are disadvantageous in use, because their effect does not increase with their dimensions, and machines for the production of powerful currents become cumbersome and costly. The rapid rotation, and consequently rapid reversals of magnetism of the iron core, give rise to great heating of the working parts, and to the necessity of cooling these with water. The step from magneto-electric to dynamo-electric machines was due to Mr. S. Alfred Varley, Sir Charles Wheatstone, and Dr. Werner Siemens, who quite independently discovered and worked upon the same principle of accumulation by mutual action, the priority falling to Mr. Varley by his patent. In this construction of machine, induced currents are caused to circulate in the electro-magnet coils that produce them, and are in this way increased. By this mutual action currents are produced, the limit of intensity DYNAMO-ELECTRIC MACHINES. 6 of which is co-equal with the maximum limit of magnetic saturation. This principle of accumulation by mutual action is now employed in all machines where currents of great intensity are required. As all these machines can be made to yield electricity, through rotation imparted to them by the expenditure of mechanical power, so can this power be reclaimed, in part, by causing the current generated by one machine to be passed into the coils of a second machine. This second machine will then rotate in an opposite direction, about 50 per cent, of the mechanical power expended upon the pulley of the first machine being obtainable from the pulley of the second. This is the basis of electrical transmission of power. B 2 ELECTRIC TRANSMISSION OF FOWEK. CHAPTEE II. THE GRAMME MACHINE. THE machine invented by M. Gramme is essentially the parent of present dynamo-electric machines. To compre- hend the principle of the Gramme machine, let Fig. 1 FIG. 1. represent a magnetised bar, A B, and a conducting helix, capable of moving to and fro on the bar. If the helix is brought towards the bar from its position at X, an induced current is produced at each movement. These currents are in the same direction while the helix passes the middle, M, of the bar, A B, until it leaves the opposite pole, B. Thus, in the entire course of the helix on to and from the magnet, two distinct periods are to be distin- guished : in the first half of the movement the currents are direct, and in the second they are inverted. If, instead of moving from left to right, as we have supposed, the movement is from right to left, everything occurs as before, with the exception that the currents are opposite. Let two magnets, A B, and B' A' (Fig. 2), be placed end to end, in contact by poles of the same name, B B'. The whole forms a single magnet with a consequent point at THE GRAMME MACHINE. 5 the centre. If the helix is moved with relation to this system, it is traversed by a positive current during the first movement, between A and B ; by a negative current FIG 2. FIG. 3. in the second, from B to B' ; again by a negative current in the third, from B' to A'; and finally by a positive current, when leaving A'. Eeplacing the straight magnets by two semi-circular magnets (Fig. 3), put end to end, the poles of the same name together, there occur the two poles, A A', B B', and the results are the same as in the preceding, MM' being the two neutral points. The essential part of the Gramme machine is a soft- iron ring, furnished with an insulated copper helix wound on the whole length of the iron. The extre- mities of this helix are soldered together, so as to form a continuous wire without issuing or re-entrant end. If the wire is denuded exteriorly, the part bared forms a straight band running round the whole of the circum- ference Friction-pieces, M and M', are applied to the bared part of the helix. When the ring is placed before the poles, S and N, of a magnet, the soft iron is magnetised 6 ELECTRIC TRANSMISSION OF POWER. by induction, and there occur in the ring two poles, N' and S', opposed to the poles S and N. If the ring revolves between the poles of a permanent magnet, the induced poles developed in the ring always remain in the same relation with regard to the poles N and S, and are subject to displacement in the iron itself with a velocity equal, and of contrary direction, to that of the ring. Whatever may be the rapidity of the movement, the poles N' S' remain fixed, and each part of the copper helix Successively will pass before them. An element of this helix will be the locale of a current FIG. 4. of a certain direction when traversing the path M S M' (Fig 4), and of a current of inverse direction to the first when passing through the path M' N M. And, as all the elements of the helix possess the same property, all parts of the helix above the line M M' will be traversed by cur- rents of the same direction, and all parts beneath the line by a current of inverse direction to the preceding. These two currents are evidently equal and opposite, and balance one another. When two voltaic batteries, composed of the same number of elements, are coupled in opposition, it is necessary only to put the extremities of a circuit in communication with the poles common to the THE GRAMME MACHINE. 7 two batteries, and the currents become associated in quantity. M. Gramme collects the currents developed in the ring of his machine by establishing collectors on the line M M', where the currents in contrary direction encounter each other. In practice, Gramme does not denude the wire of the ring. Fig. 5 shows the wire and coils. One or two coils B (B) are shown in position, and with the iron ring laid bare, and cut. Insulated radial pieces, E, are each attached to the issuing end of a coil, and to the entrant end of the follow- ing coil. The currents are collected on the pieces, E, as they would be on the denuded wire. Their bent parts, brought parallel to the axle, are carried through and beyond the interior of the ring, and are brought near one another upon a cylinder of small diameter. The friction-brushes on the pieces are in a plane perpendicular to the polar line S and N that is, at the middle or neutral points M and M'. The intensity of the current 8 ELECTEIC TRANSMISSION OF POWER. increases with, the velocity of rotation ; the electro-motive force is proportional to the velocity. Gramme modifies his machine so as to produce effects of tension or of quantity, by winding the ring with fine or coarse wire. With equal velocities of the ring the electric tension will be' proportional to the number of convolutions of the wire. THE GRAMME MACHINE. 9 Figs. 6 and 7 represent a Gramme machine ; it consists of two flanks of cast iron, arranged vertically, and con- nected by four iron bars, serving as cores to electro- magnets. The axle is of steel ; its bearings are relatively very long. The central ring has two wires wound parallel FIG. 7. on the soft iron, and connected to two collectors to re- ceive the currents. The poles of the electro-magnet are of large size, and embrace seven-eighths of the total cir- cumference of the central ring. Four brushes collect the currents produced. The electro-magnet is placed in the circuit. The total length of the machine, pulley included, 10 ELECTRIC TRANSMISSION OP POWER. is 31 J inches, its width. 1 foot 9J inches, and its height 23 inches. Its weight is 880 Ibs. The double coil is connected to 120 conductors, 60 on each side. Its exterior diameter is 27 inches ; the weight of wire wound on is 31 Ibs. The electro-magnet bars have a diameter of 2J inches, and a length of 15 1 inches. The total weight of wire wound on the four bars is 211 Ibs. The winding of the wires on the ring is effected as if two complete bobbins were put one beside the other, and these two bobbins may be connected in tension or in quantity. THE BKUSH MACHINE. 11 CHAPTER III. THE BRUSH MACHINE. MR. BRUSH, the inventor of the machine bearing his name, considers that even the best forms of magneto-electric apparatus are unnecessarily bulky, heavy, and expensive, and are more or less wasteful of mechanical power. The armature of the Brush machine (Figs. 8 to 11) is of FJG. 8. iron, in the form of a ring, and is attached to a hub, which is rigidly attached to the shaft C (Fig. 8). The armature, instead of having a uniform cross section, as in the Gramme machine, is provided with grooves, or depres- sions, in a direction at right angles with its magnetic 12 ELECTRIC TRANSMISSION OF POWER. axis or length. These grooves are wound full of insulated copper wire, and are of any suitable number. The advan- tage of winding the wire on the armature depressions is twofold. The projecting portion of the armature between the sections of wire may be made to revolve very close to the poles N N and S S of the magnets, from which the magnetic force is derived, thus utilising the inductive force of the latter to a much greater extent than is possible in the case of annular armatures entirely covered with wire, which therefore cannot be brought very near the magnets. Owing to the exposure of a very considerable portion of the armature to the atmosphere, the heat, which is always developed by the rapidly succeeding magnetisa- tions and demagnetisations of armatures in motion, is rapidly dissipated by radiation and convection. In the case of armatures completely covered with wire, the escape of heat is very slow, so that they must be run at a comparatively low rate of speed, with corresponding effect, in order to prevent injurious heating. Opposite sections on the armature may have their first or their last ends joined together, and their remaining ends connected with two segments of metal of the commutator cylinder E, which is carried by the shaft C, and is of insulating material (Fig. 9). The two metal segments are placed opposite each other on the cylinder, and are each of a length less than half the cir- cumference of the latter, thus exposing the in- sulating cylinder in two places diametrically opposite each other and alternating with the metal segments. The two segments, say S 3 and S 7 , cor- THE BRUSH MACHINE. 13 responding to sections 3 and 7 of wire, hold a position on the cylinder in advance of those of the preceding sections S 2 and S 6 to the same angular extent that the sections 3 and 7 in question are in advance of sections 2 and 6. In this arrangement the number of segments is equal to the number of sections, each segment being connected with but one section. The first and last ends of each section can, however, be attached to two opposite segments, the commutator cylinder, in that case, being constructed with double the number of segments as in the former case, thus making the number of segments double the number of sections. Two metallic plates or brushes, insulated from each other, press lightly upon the cylinder E at opposite points, so selected that while each section of wire on the armature is passing from one neutral point to the other, the corresponding seg- ments on the cylinder will be in contact with them. These plates or brushes collect the currents of electricity generated by the revolution of the armature, one being positive and the other negative. When the section of wire is .passing the neutral points on the arma- ture, the plates are in contact with the insulating material of the cylinder between the corresponding seg- ments, thus cutting the section, which is at the time useless, out of the circuit altogether. The necessity for thus insulating each section from the plates during the time it is inactive becomes obvious when it is considered that, if this were not done, the idle section would afford a passage for the current generated in the active sections. During the time a section or bobbin is passing from one neutral point of the armature to the next one, an electric impulse, constant in direction, but varying in electro- motive force, is induced in it. This electro-motive force, starting from nothing at the neutral point, quickly in- creases to nearly its maximum, and remains almost con- stant until the section is near the next neutral point, 14 ELECTRIC TRANSMISSION OF POWER. when it rapidly falls to zero as the neutral point is reached. The insulating spaces are made of such a length that a section or bobbin is cut out of the circuit, not only when it is at the neutral points, but also during the time when its electro-motive force is rising and falling at the beginning and end of an impulse. If the insulating space is too short, so as to keep or bring a section in the circuit, while its electro-motive force is low, then the current from the other sections, being of superior electro-motive force, will overcome this weak current and discharge through this section. If the insulating spaces are a little longer than necessary, no material inconvenience results. A suitable length for practical purposes is easily determined experimentally. It is found in practice that the neutral points of the armature in motion are considerably in advance of their theoretical position, this circumstance being attributed to the time required to saturate any point of the armature with magnetism, so that the given point is carried beyond the point of greatest magnetic intensity of the field before receiving its maximum charge. M. Gramme however be- lieves it due to the reaction, by induction, of the armature coils upon the cores and coils of the electro-magnet. It is necessary to adjust the commutator cylinder on the revolving shaft of the machine with special reference to the neutral points of the armature when in motion, in order that its insulating space may correspond with the neutral points. This adjustment is made experi- mentally as follows : The commutator cylinder having been placed approximately in its proper position, the machine is started, and the presence or absence of sparks at the points of contact between the plates and commutator cylinder is noted. If sparks occur, the commutator cylinder is turned slightly forward or backward on its axis, until the sparks disappear. THE BRUSH MACHINE. 15 The presence of sparks when the commutator is even slightly out of its proper position is easily explained. If a break between a pair of segments and the plates oc- curs while the corresponding section of wire on the arma- ture is still active, a spark is produced by the interruption of the current, while if the break occurs too late the section in question will have become neutral, and then commenced to conduct the current from the active sec- tions, and the interruption of this passage causes a spark in this instance. If the commutator is much removed from its proper position in either direction, the sparks are so great as to very rapidly destroy both the commutator and the brushes, while the current from the machine is correspondingly diminished. With the arrangement, where the first and last ends of each of two opposite sections are attached to two opposite segments the intensity of the induced electrical current will be that due to the length of wire in a single section only, while the quantity will be directly as the number of sections. By doubling the size of each bobbin, and diminishing their number one half, a current of double the intensity and one half the quantity of the former will be obtained. This effect, however, can be secured in another manner, by connecting the first and last ends of the two opposite sections together, and joining the re- maining ends only to two opposite segments, as illustrated in Fig. 10. This arrange- ment is found most con- FlG * "' venient in practice. The arrangement of the cylinder E with segments / i / T V-\- \{ZTff ~~7^\ S (Fig. 9) is usually re- (( ( / j/-~fel^ ( ) placed by another, in which the last end of one section and the first end of the succeeding may be connected with a strip of metal 16 ELECTRIC TRANSMISSION OF POWER. attached to the cylinder, parallel with its axis, as in the Siemens and Gramme machines. These metallic strips or conductors are equal in number to the sections of wire on the armature, and are insulated from each other. The plates press upon the cylinder, in this case, at points correspond- ing to the neutral points of the armature, thus being at right angles with their position in the first arrangement. This plan, which is the one commonly used with annular armatures, gives fair results, but is subject to a serious disadvantage from which the first is free. The difficulty is, that the sections of wire, when at or near the neutral points of the armature, contribute little or no useful effect, but the current from the other sections must pass through these in order to reach the plates, thus experiencing a considerable and entirely useless resistance ; and, owing to the opposite directions of the currents through the active sections on opposite sides of the neutral points, these cur- rents, by passing through the idle sections, tend strongly to produce "consequent" points in the armature where the neutral points should be, thus interfering seriously with the theoretical distribution of the magnetism of the armature. The electro-magnets H are excited by the whole or a portion of the electric current derived from the revolving armature, as is usual in apparatus of this kind, the novel feature of this part of the machine con- sisting of the manner in which the magnetic poles are presented to the armature ; this arrangement is such that a very large proportion of the entire surface of the arma- ture is constantly presented to the poles of the magnets, thus securing uniformity of magnetisation, as well as maximum amount. The iron segments, constituting the poles of the magnets, are arranged on both sides of the armature. The pieces N N, or S S, may be connected at their outer edges, thus forming one piece, and enclosing the armature still more. In the other dynamo-electric machines no magnetic field is maintained when the ex- THE BKUSH MACHINE. 17 ternal circuit is opened, except that due to residual mag- netism; hence the electro-motive force developed by the machine in this condition is very feeble. It is only when the external circuit is closed through a resistance \\ not too large that powerful currents are developed, owing to the strong magnetic field produced by the circulation of the currents themselves around the field magnets. By diverting from external work a portion of the c 18 ELECTEIC TRANSMISSION OF POWER. current of the machine, and using it either alone, or in connection with the rest of the current for working the field magnets, a permanent field may be obtained. Mr. Brush winds the cores of the field magnets with a quantity of a comparatively fine wire, having a high resistance in comparison with that of the external circuit, and the rest of the wire in the machine. The ends of this wire are so connected with other parts of the machine that when the latter is running, a current of electricity constantly circulates in the wire, whether the external circuit be closed or not. The high resistance of -this wire prevents the passage through it of more than a small proportion of the whole current capable of being evolved by the machine ; therefore the available external current is not materially lessened. When this device, called a " teaser," is used in connection with field magnets, also wound with coarse wire (Fig. 11), for the purpose of still further increasing the magnetic field by employing the main current for this purpose, then the "teaser" may be so arranged that the current which passes through it will also circulate in the coarse wire, thus increasing efficiency THE WALLACE-FARMER AND SIEMENS MACHINES. 19 CHAPTER IV. THE WALLACE-FARMER AND SIEMENS MACHINES. IN the Wallace-Farmer machine (Fig. 12) the magnetic field is produced by two horse-shoe electro-magnets, but with poles of opposite character facing each other. FIG. 12. Between the arms of the magnets, and passing through the uprights supporting them, is the shaft, carrying at its centre the rotating armature. This consists of a disc of cast iron, near the periphery of which, and at right angles to either face, are iron cores, wound with insulated wire, thus constituting a double series of coils. The armature c2 20 ELECTRIC TRANSMISSION OF POWER. coils (Figs. 13 and 14) being connected end to end, the loops so formed are connected in the same manner, and to a commutator of the same construction as that of the Gramme. As the armature rotates, the cores pass between the opposed north and south poles of the field magnets, and the current generated depends on the change of FIG. 13. FIG. 14. polarity of the cores. It will be seen that this constitutes a double machine, each series of coils, with its commutator, being capable of use independently of the other ; but in practice the electrical connections are so made that the currents generated in the two series of armature coils pass through the field magnet coils, and are joined in one external circuit. This form of armature also presents considerable un- covered surface of iron to the cooling effect of the air, but, like that of the Brush, presents considerable resistance to rotation. In the Wallace-Farmer machine there is considerable heating of the armature, the temperature being sometimes sufficiently high to melt sealing-wax. In the Siemens machine, the conductor of insulated copper wire is coiled in several lengths and convolutions THE WALLACE-FARMER AND SIEMENS MACHINES. 21 upon a cylinder shown in transverse (Fig. 15), and in end view by Fig. 16. Each convolution is parallel to the FIG. 15. longitudinal axis of the cylinder, and the whole surface of the cylinder is covered with wire, laid on in six sections. FIG. 16. Surrounding the wire cylinder for about two-thirds of its surface are curved iron bars, the space between these 22 ELECTRIC TRANSMISSION OF POWER. curved bars and the wire cylinder being as small as is consistent with the free rotation of the cylinder. The curved bars are themselves the prolongations of the cores of large flat electro-magnets; the coils of these electro- magnets and the wire of the cylinder (from brush to brush) forms a continuous electrical circuit. Upon revo- lution of the wire cylinder, which is supported upon a longitudinal axis in proper bearings, the axis carrying a pulley, a current is generated in it, and this current, initially weak, is directed into the coils of the electro- magnets, magnetising the cores, which induce a still stronger current in the wire cylinder. This mutual action continues until the magnetic limit of the iron is attained. At every revolution of the wire cylinder, the maximum magnetic power acting upon each convolution is attained when the convolution passes through the middle of both magnetic fields, and this power falls to zero when the convolution is perpendicular to that position. Each convolution is therefore subject to a neutral position, and by Lenz's law a convolution starting from that position on the one side of the axis towards the north pole of the electro-magnet would be subject to a direct induced current, and that portion of the convolution on the opposite side of the axis will be traversed by a current of opposite direction, as regards a given point, but of the same direction as regards circuit. Each of the six sections of wire coiled upon the cylinder consists of two separate coils, the whole having twenty- four ends ; two of these ends are brought to each of the segments of a circular commutator in such a manner that the whole six double sections form a continuous circuit, but not one continuous helix. In order that the segments may be properly presented to the collecting brushes, the connections are arranged according to their relative momentary position. The electric currents are collected upon two wire brushes THE WALL ACE- FARMER AND SIEMENS MACHINES. 23 tangential to the segments of the commutator, and these brushes form, through the electro-magnets, the two elec- trodes of the machine ; and to the electro-magnet ends are connected the conducting wires leading to the system where the current is to be utilised. The dimensions, weights, number of revolutions made by the cylinder, and HP. required for driving, are for three sizes of the machine, as under : Dimension in laches. Weight in Ibs. Revolutions of Cylinder. HP. Length. Width. Height. 25 21-0 8-8 298 1,100 U to 2 29 26-0 9-5 419 850 3 3^ 44 28-3 12-6 1,279 480 9 10 24 ELECTKIC TRANSMISSION OF POWER. CHAPTER V. EFFICIENCY OF DYNAMO-ELECTRIC MACHINES. WHEN two machines are coupled in circuit for the trans- mission of the power of a prime mover, we may consider two causes of efficiency : (1) that of the first machine as a current generator, and (2) that of the two machines con- sidered together as a transmitting system. In a paper read before the Institution of Mechanical Engineers, by Dr. Hopkinson, it has been pointed out that it is desirable to know what dynamo-electric machines can do with varied and known resistances in the circuit and with varied speeds of rotation ; and what amount of power is absorbed in each case. The mechanical energy communicated by the steam- engine or other motor is not immediately converted into the energy of heat, but is first converted into the energy of an electric current in a conducting circuit. The whole of what is needed to be known may be more easily ascer- tained and expressed if the subject of inquiry is stated as : what current a machine will produce under various con- ditions of circuit ; and at what expenditure of mechanical power. The subject has been treated more or less by Edlund (Pogg. Annal., 1867 and 1868), Houston and Thomson in America, Mascart ('Journal de Physique,' March 1878), Trowbridge ('Philosophical Magazine,' March 1879), Schwendler (' Eeport on Electric Light Experiments '). Dr. Hopkinson limits his inquiry to an account of some experiments on the production of currents by a Siemens medium-sized machine, the machine which EFFICIENCY OF DYNAMO-ELECTKIC MACHINES. 25 is said to produce a light of 6000 candles, by an expendi- ture of 3 HP. The intensity of the magnetic field in such machines as the Siemens and ordinary Gramme machines may be regarded as a function of the current passing ; to learn what this function is for the machine in question, we may construct a curve in which the abscissae represent currents passing, and the ordinates the electro- motive force for a given speed of rotation. But the power of a current, that is its energy per second, is the product of the electro-motive force and its intensity ; this is in all cases less than the power required to drive the machine, and the ratio between the two may fairly be called the efliciency of the machine. Consider the case of a pump forcing water through a pipe against friction ; then electric current corresponds to the water passing per second, and electro-motive force to the difference of pressure on the two sides of the pump ; and just as the product of pressure and volume per second is power, so the product of electro-motive force and current is power ; which is directly comparable with the power expended in driving the machine or the pump, as the case may be. The peculiarity of the so-called dynamo-electric machine lies in this, that which corresponds to the difference of pressure (the electro-motive force) depends directly on what corresponds to the volume passed (the current). Each experiment requires the determination of the speed, the driving power, the resistances in oironit, and the current passing. In Dr. Hopkinson's measurements, the speed of the steam engine was maintained very constant by means of a governor specially arranged for great sensitiveness. The speed was varied by means of a weight and a spring, attached to a lever on the throttle-valve spindle. The power was transmitted from the engine to a countershaft by means of a strap, and by a second strap from the countershaft to the pulley of the machine. On this second 26 ELECTEIC TRANSMISSION OF POWER. strap was the dynamometer (Fig. 17), arranged as used by the Author, and described in a paper read before the Institution of Civil Engineers, 1877-8. The tension difference in the two parts of the strap of the dynamometer and the velocity of rotation of the machine being known, the power received was EFFICIENCY OF DYNAMO-ELECTRIC MACHINES. 27 obtained, expressed in gram-centimetres per second. Multiplying by 981, the value of gravity in centimetres and seconds, the power is then expressed in ergs * per second, and is ready for comparison with the results of the electrical experiments. The dynamo-electric machine in these trials was a Siemens medium size; the armature coil has fifty-six divisions, and the brushes are single, not divided that is, each brush is in connection with one segment of the commutator at each instant. The leading wire was 100 yards of seven copper wires, insulated with tape and india- rubber, and having a diameter of about 9'6 millimetres. The current passing was ascertained by the heating of the calorimeter, or by measuring the difference of potential at the extremities of a resistance, all the resistances of the circuit being known. The resistance coils comprised ten coils of common brass wire, each wound round a couple of wooden uprights driven into a baseboard common to the set; each wire was about 60 metres long, and of No. 17 Birmingham wire-gauge, weighing about 14*6 grammes per metre. Each terminal was connected to a cup of mercury excavated in the baseboard, so that the coils could be placed in series or in parallel circuit at pleasure. The resistance of each coil being about 3 ohms, this set could be arranged to give resistances varying from 3 to 30 ohms. The calorimeter was a double copper vessel ; a resistance coil of uncovered German-silver wire nearly 2 metres long, 1-5 millimetres in diameter, and having a resistance of about i ohm, was suspended within it from an ebonite cover, * The dyne is the force which will in one second impart to one gramme a velocity of one centimetre per second, and an erg is the work done by a dyne working through a centimetre ; a horse-power may be taken as three-quarters of an ergten per second, an ergten being 10 10 ergs. See Keport of Brit. Assoc. 1873, and Everett, 'On the Centimetre-Gramme Second System of Units.' 28 ELECTKIC TRANSMISSION OF POWER. which also carried a little brass stirrer ; and the calorimeter was filled with water to the level determined by the mark of a scriber. It was, of course, necessary to know the capacity of the calorimeter for heat. It was filled with warm water up to the mark, and the coil placed in posi- tion; 120 grammes of water were then withdrawn, and the temperature of the calorimeter was observed to be 58 8 centigrade ; after the lapse of one minute it was 58 3 centigrade ; after a second minute, 57 9 centigrade. 120 grammes of cold water, temperature 13* 3 centigrade, were then suddenly introduced through a hole in the ebonite cover, and it was found that two minutes after the reading of 57*9 centigrade, the temperature was 50 centigrade ; hence it was inferred that the capacity of the calorimeter is equal to that of 750 grammes of water. The resistance coils were on the binary scale, from -J- ohm to 1024 ohms. The battery was a single element of Daniell's battery, in which the sulphate of zinc solution floats on the sulphate of copper ; its electro- motive force is assumed to be f volt. The resistances added in the battery circuit are pencil lines on glass, such as are described in the ' Philosophical Magazine,' February, 1879. Preliminary to experiments on the cur- rent, determinations of resistances were made. When the ends of the cable were connected, the resistance was found to be 0*129 ohm. The resistances in the machine were found to be as follows, when cold : magnet coils, 0-156 and 0-152 respectively; armature coil, 0-324; total, 0*632. Direct examination was made of the whole machine in eight positions of the commutator, giving 643 ohm, with a maximum variation from the mean of 6 per cent. After running the machine for some time, the resistance was found to be 683, an increase which would be accounted for by a rise of temperature of 12 centigrade, or thereabouts. The resistance of the calori- meter is 20, without its leading wire, which may bo EFFICIENCY OF DYNAMO-ELECTRIC MACHINES. 29 taken as 01. There were thus three leading resistances which must "be considered: (1), the resistance of the machine and leading wire, assumed throughout as 0'8l, denoted by c^ (2), the resistance of the brass coils, C, calculated from the several determinations, with the addi- tion of the resistance of the leading wire, 0*02, and denoted by c 2 ; (3), when present, the resistance of the calorimeter and leading wire denoted by c 3 . Two approximate corrections were employed, and should be detailed. The first is the correction for the considerable heating of the resistance coils c. These were arranged in two sets of five each, five being in parallel circuit, and two sets in series. The current from the machine, being about 7 * 4 webers in each wire, was passed for three or four minutes ; the circuit was then broken, and the resistance c 2 was determined within one second of breaking circuit, when it was found to be about 5 per cent, greater than when cold. As the resistance was falling, the following was adopted as a rule of cor- rection : square the current in a single wire, and increase the resistance c 2 by T ^ per cent, for every unit in the square. The second correction is due to the fact that the calorimeter was losing heat all the time it was being used. It was assumed that it loses 0*01 centigrade per minute for every 1 centigrade, by which the tem- perature of the calorimeter exceeds that of the air ; this correction is, of course, based on the experiment already mentioned. The method of calculation may now be explained : E is the total resistance of the circuit, equal to c i 4- C 2 + C 3 ; Q is the current passing in webers ; E the electro-motive force round the circuit in volts ; W x the work per second converted into heat in the circuit, as determined by the galvanometer, measured in ergtens per second ; 30 ELECTRIC TRANSMISSION OF POWER. W 2 is the work per second as determined by the calori- meter ; W 3 is the work per second as determined by the dyna- mometer, less the power required to drive the machine when the circuit is open. II P is the equivalent of W 3 in HP. ; n is the number of revolutions per minute of the armature. Then : Q = 981 X X i, T> also W 2 = - multiplied by the mechanical equivalent of the heat generated per second in the calorimeter. The accompanying tables give the results of the ex- periments. A power of 0-21 ergtens, or 0*28 HP., was required to drive the machine at 720 revolutions on open circuit. An examination of the table shows that the efficiency of the machine is about 90 per cent, exclusive of friction. Comparing experiments 11 and 13, and also the last four experiments, it is seen that the electro-motive force is proportional to the speed of rotation within the errors of observation. Experiments 14, 15, and 16 were intended to ascertain the effect of displacing the commu- tator brushes. The principal object of the experiments was to ascertain how the electro-motive force depended on the current. This relation is represented by a curve (Fig. 18) in which the abscissae represent the currents flowing, or the values of Q in the table, and the ordinates the electro-motive forces, or the values of E reduced to a speed of 720 revolutions per minute. The curve may also be taken to represent the intensity of the magnetic field. There will be a point of inflection in the curve near the origin. The experi- ments 1 to 5 indicate that this is the true form of the curve, and it is confirmed in a remarkable manner by a EFFICIENCY OF DYNAMO-ELECTRIC MACHINES. 31 special experiment. A resistance intermediate between 5J and 4 was used in circuit, and E and Q were deter- mined in two different ways ; first, by starting with an open circuit, which was then closed ; secondly, by starting with a portion of the resistance short circuited, and a very powerful current passing, and then breaking the short circuit. It was found that E and Q were four times as great in the latter case as in the former. The curve (Fig. 18) will also determine what current will flow at any given speed of rotation of the machine, and under any conditions of the circuit, whether of resistance or of opposed electro-motive forces. It will also give very approximate indications of the corresponding curve for other machines of the same configuration, but in which the number of times the wire passes round the electro- magnet or the armature is different. It will be well to compare these results with those obtained by others. M. Mascart worked on a Gramme machine with comparatively low currents ; he represents his results approximately by the formula, E = (a + 6 Q), where a and b are constants. This corresponds to the rapidly-rising part of the above curve. Mr. Trowbridge with a Siemens machine obtained a maximum efficiency of 76 per cent., and states that the machine was running below its normal velocity. Mr. Schwendler's precis states that the loss of power with a Siemens machine in pro- ducing currents of over 20 webers is 12 per cent. Now, taking Dr. Hopkinson's experiments, 4 to 19, the mean value of W x is 3 '027, and of W 3 3-304; adding to the latter 0-21, the power required to drive the machine when no current passes, it appears that 13*8 per cent, of the power applied is wasted. Again, taking experiments 4, 6, 8, 10, and 12, the mean value of W 2 is 2-888 and of W 3 , 3*076, indicating a waste of power amounting to 32 ELECTRIC TRANSMISSION OF POWER. 12 per cent. Of the loss, 28 HP. is accounted for by fric- tion of the journals and commutator brush ; the remainder Electromotor* *6rc is expended in local currents, or by loss of kinetic energy of current when sparks occur at the commutator. EFFICIENCY OF DYNAMO-ELECTRIC MACHINES. 33 HCDOO-)H(M'*ih-C , ^ . L ^-- \ / ^ ^ 1 X *> 400 600 600 TOO SCO 9OO ' 10 OO rn 'o ma Rev* of 2~ and the work reclaimed as ordinates. The numerical values are given in the following table : KESULTS OF EXPERIMENTS WITH DYNAMO-MACHINES FOR THE TRANS- MISSION OF POWER BY THE ELECTRIC CURRENT. Fig. 19. Fig. 20. Fig. 21. Machine A, at 1100 Revo- Machine A, at 11 00 Revo- Machine A, at 1400 Revo- lutions Driving C. lutions Driving B. lutions Driving B. Revolutions ofC. Per cent, of Work Re- claimed. Revolutions ofB. Per cent, of Work Re- claimed. Revolutions ofB. Per cent, of Work Re- claimed. 1,008 27 884 34 1,199 39 730 36 808 43 1,031 44 584 38 767 44 863 48 501 39 625 45 691 49 420 37 481 39 500 37 359 35 385 32 EFFICIENCY OF COUPLED MACHINES. 51 The departures from the theoretical values are somewhat marked, but are within the limits of error that occur with this class of measurements, made with no great attempt at accuracy. In order to ascertain the effects of resistance in the circuit connecting the driving and driven engines, two machines were connected by leading wires, having resist- ance of J unit, 1 unit, and 1J unit respectively. The machines were two of the smallest Siemens type, and gave without inserted resistance an efficiency of 44 per cent. ; with % unit resistance added to the circuit the efficiency was reduced to 38 per cent., giving a loss of 6 per cent. ; with 1 unit of added resistance the efficiency fell to 32 per cent., giving a loss of 12 per cent. ; and with Ij unit added resistance the efficiency was 26 per cent., giving a loss of 18 per cent. The experiments clearly proved that the loss of efficiency is proportional to the added resistance. With a machine having O'Oo unit resistance, a current of 5 webers through one ohm has been obtained, with an expenditure of 2 HP. This gave a current of which the mechanical value, when the machine was connected to a precisely similar machine, was 56,000 foot-lbs., with the second machine at rest; and a resultant current of 29,000 foot-lbs. with the second machine in motion, the HP. expended being maintained constant. The work re- claimed, measured on the dynamometer, was 48 per cent., closely agreeing with the efficiency of one-half. As to the effect of circuit resistance on the transmission of power in the instance quoted, the addition of 1 J unit resistance reduced the efficiency to 26 per cent, with the particular machines employed; but if convolutions of wire were added to the cylinder of the machine the efficiency would again attain its maximum. It should be noted' that the theoretical efficiency of 50 per cent, is referred to the use of two equal and similar machines, one used as the driving, the other as the driven machine. It is quite probable E 2 52 ELECTRIC TRANSMISSION OF POWER. that a larger percentage of work reclaimed might be attained by some other arrangement of machines. By driving one machine by two others coupled in series, the results of three readings gave : speed of small machines, 1060 revolutions; speed of medium machine, 1820 revo- lutions. The medium machine driven by one small machine gave the following results, taken from three readings : speed of small machine, 1060 revolutions ; speed of medium machine, 780 revolutions. It would thus be seen that the speed of the medium machine had been rather more than doubled by driving it from two machines coupled in series. The best conditions for work admitted of direct proof. Two equal machines being employed, and a galvanometer put in circuit between them, the deflec- tions showed that when the second machine was at rest, the current was of twice the intensity that occurred when the second machine was giving out its best work. M. Mascart has shown that if the number of revolutions of the first machine were kept constant, the greatest effi- ciency would be attained when the number of the revolu- tions of the second machine were nearly equal to unity. But he has also proved that when the greatest amount of power was given off by the second machine, it would make half the number of revolutions of the first machine, and then the first machine would require half the power to drive it which was required when the second machine was standing, and of that power one half would be transmitted by the second machine. This is a very different thing from the conclusion that the maximum efficiency was one half. In some experimental researches on magneto-electric machines, MM. Mascart and Angot, in the 'Journal de Physique,' vol. vii. p. 78, investigate the reaction of the magnets and the electro-magnets. Previous considerations in a former article* by these authors, give only a first ap- Vide Minutes of Proceedings Inst. C.E., vol. L., p. 302. EFFICIENCY OF COUPLED MACHINES. 53 proximation to the action of machines containing magnets or electro-magnets. It has been supposed that the mag- netism of permanent magnets is invariable, and that that of electro-magnets depends only upon the intensity of the currents by which they are surrounded ; but there exist between the magnets and the currents reactions that may greatly modify the results. Electro-dynamic machines which include neither magnet nor soft iron give rise to no new correction, the time necessary for the manifestation of the electro-dynamic forces being inappreciable. In magnetic machines of the second type the effective magnetism of the permanent magnets is changed in a complex manner by the influence of the bobbins. If it be admitted that the variation of the magnetism of the magnets is proportional to the magnetic power of the bobbins, which is in direct ratio to the intensity of the current, it is to be seen that the magnetism of the magnets will be increased when they exercise an attraction between the two systems, and that it will be diminished in the case of repulsion. The diminution of repulsive force will be greater than the increase of attractive force, since the magnets may be supposed to be in a condition bordering upon saturation ; there will result from this fact a slight diminution of work, and this may be represented by a term proportional to the square of the intensity of the current. The equations * then become for the motor machine, K = NH = NI(A-BI) E = * I and i are current intensities ; E primary electro-motive force ; E contrary electro-motive force ; R total resistance ; N and n number of revolutions in the two machines in corresponding cases. K is the me- chanical work in time di. The other relations are explained in the text. 54 ELECTRIC TRANSMISSION OF POWER. Whence is deduced, instead of E = N A. The electro-motive force of induc- tion, for a given velocity, is as much weaker as that of the battery is stronger. The machine left to itself has still a velocity, the limit of which is given by the condi- tion 1 = 0, which is A as if the reaction had not been taken into account. The efficiency is diminished, because it has for expression, _ E__ NA AB E E T N - E To calculate the coefficients A and B the limit of velo- city N of the motor machine must be determined, whence is deduced A- E N.' as measure for the efficiency for a given velocity ; thus the equation B obtains, whence is deduced N iv. ~ r B = E EFFICIENCY OF COUPLED MACHINES. 55 The limit of velocity N is easily obtained by experi- ment, since it is proportional to the electro -motive force of the battery employed, which may be chosen as weak as desired. When the machine is employed as electro-motor, the condition of production 2 > R is always realised for a very weak current, and equilibrium exists when or A n A n A B B + .B Jt F n xt The apparatus behaves as a battery, the electro-motive force of which is proportional to the velocity, with the conditions of adding to the actual resistance a fictitious resistance itself proportional to the velocity. The inten- sity will then have a limiting value given by the equation, _A. = B' In magneto-electric machines, that is to say with fixed and moving electro-magnets, the influence of the wires of a system of bobbins on the opposed electro-magnets gives, as in the preceding, an increase of attractive forces and a greater diminution of repulsive forces, which again intro- duces into the work a negative variation proportional to the magnetism and to the intensity of the current that may be considered comprised in the term C^ M I 2 . On the other hand, the reciprocal influence of the electro-magnets gives also a diminution of work, which is sensibly propor- tional to the square of the magnetisation, and may be comprehended in the term C 2 M 2 I 2 , so that there will be 56 ELECTRIC TRANSMISSION OF POWER. nothing to modify the theory. The reaction which is weak in the machines of the second type, plays on the contrary an important part in composite machines consist- ing of magnets and electro-magnets. If it be considered that the magnetism of fixed magnets is modified by a quantity proportional to the magnetisation of the electro- magnets, there results a diminution of work proportional to the square of magnetisation, or to M 2 I 2 . The efficiency is T _ 2 JE _ N (A 4- A! M) A+AiM R " E; ~ ~E7~ A 2 M 2 ~K~ If the current is sufficiently weak, so that the coefficient M has the constant value M , it becomes an expression of the same form as for machines of the second type of magneto-electric machines. The greater number of electric motors enter into the category, because they are nearly always formed of two systems of electro- magnets or, what is the same, of a system of fixed electro- magnets, and of movable pieces of soft iron. In these machines work has for expression, K = NH = NP (C + d M-f C 2 M 2 ). If the intensity is feeble the parenthesis may be repre- sented by a constant A, and K = N A I 2 , and the electro-motive force of induction is E = N A I. EFFICIENCY OF COUPLED MACHINES. 57 For the other part, I K = E - E = K I - N A I, whence is deduced The Gramme machine with electro-magnets enters into the same type in theory, but entirely differs from the preceding in construction. This machine the Authors have studied as an electro-motor only. The resistance of the machine is not constant, because the commutator brush communicates successively with the different bobbins of the ring, but does not vary more than T ^-g- ; the mean is 1*104 ohm. The Authors have added successively exterior resistances to the amount of 200 ohms, and have varied the speed from a quarter of a revolution to nineteen revolutions per second. It should be remarked that this enormous speed can be obtained on very resistant circuits only, because the intensity increases so rapidly that with a shorter circuit all the disposable power of the motor, which equalled 5 HP., could not be utilised. All the quantities are reduced into absolute units (webers), and the resistance expressed in ohms. The phenomena are regular when the resistance does not exceed 10 ohms, nor the speed of the machine ten revolutions per second. Thus, if the quantity is inferior to 0*08 weber, it is proportional to the speed, and in inverse ratio to the total resistance of the circuit. For larger quantities the con- stant has for expression , which depends only upon the intensity of the current. This result accords with theory. The electro-motive force is n i (C + C x M + C 2 M 2 ), 58 ELECTKIC TRANSMISSION OF POWER, which gives The values of - increasing nearly proportionally to the quantity, calculations can be effected by the following empirical formula, = 0-286 + 0-4f, n where f is the quantity of current, R the resistance of the whole circuit, and n the number of revolutions of the Gramme-armature. COMPAKATIVE EFFICIENCY OF VARIOUS MACHINES. 59 CHAPTEE VIII. COMPARATIVE EFFICIENCY OF VARIOUS MACHINES. NOTHING can be done in the inter-comparison of any natural force until accurate measurements have been made. For those measurements we are indebted to a great extent to the labours of the committee on dynamo-elec- tric machines formed by the Franklin Institute, and to Professors Houston and Thomson's report as to the ratio of efficiency in the conversion of motive-power into electricity. In entering this comparatively new field of research, peculiar difficulties occurred, owing to conditions that do not exist in the various forms of batteries used as sources of electrical power. In many battery circuits a high external resistance may be employed, and the electro- motive force remains comparatively constant, while in dynamo-electric machines, in which the reaction principle is employed, the introduction of a very high external resistance into the circuit must be necessarily attended by decided variations in the electro-motive force due to changes in the intensity of the magnetic field in which the currents have their origin. Moreover, a considerable difficulty is experienced in the great variations in the behaviour of these machines when the resistance of the external work is changed. Changes due to loss of con- ductivity by heating, also take place in the machine itself. These variations are also attended by changes in the power required to drive the machine, and in the speed of running, which again re-act on the current generated. These are certain normal conditions in the running of 60 ELECTRIC TRANSMISSION OF POWER. dynamo-electric machines under which all measurements can be made, viz. : The circuit must be closed, since, on opening, all elec- trical manifestations cease. The speed of the machine must be, as nearly as possible, constant. The power required to maintain a given rate of speed must be, as nearly as possible, constant. The machines submitted to the Committee for determi- nation were as follows, viz. : 1. Two machines of different size, and of somewhat different detailed construction, built according to the invention of Mr. C. F. Brush, and styled respectively in the same report as A 1 , the larger of the two machines, and A 2 , the smaller. 2. Two machines, known as the Wallace-Farmer machines, differing in size and in minor details of con- struction, and designated respectively as B 1 , the larger of the two, and B 2 , the smaller. In the case of the machine B 1 , the experiments were discontinued after the measure- ment of the resistances was made, insufficient power being at disposal to maintain the machine at its proper rate of speed. 3. A Gramme machine of the ordinary construction. All the above machines are constructed so that the whole current traverses the coils of the field magnets, being single current machines, in which the reaction principle is employed. In the case of the machine desig- nated A 2 , the commutators are so arranged as to permit the use of two separate circuits when desired. For the purpose of preserving a ready measure of the current produced by each machine, under normal con- ditions, a shunt was constructed by which an inconsider- able but definite proportion of the current was caused to traverse the coils of a galvanometer, thus giving with each machine a convenient deflection, which could at any COMPARATIVE EFFICIENCY OF VARIOUS MACHINES. 61 time be reproduced. As the interposition of this shunt in the circuit did not appreciably increase its resistance, the normal conditions of running were preserved. As indicating the preservation of normal conditions in any case, the speed of running and the resistances being the same as in any previous run, it was found that when there was an equal expenditure of power, as indicated by the dynamometer, the current produced, as indicated by the galvanometer, was in each case the same. Certain of the machines experimented with heated considerably on a prolonged run ; most of the tests, there- fore, were made when the machines were as nearly as possible at about the temperature of the surrounding air. It is evident that no other standard could be well adopted, as under a prolonged run the temperature of the different parts of the machine would increase very un- equally ; and, moreover, it would be impossible to make any reliable measurements of the temperatures of many such parts. In measuring the resistance of the machines, a Wheat- stone's bridge, with a sliding contact, was used in con- nection with a galvanometer and a suitable voltaic battery. In taking the resistances of the machines, several measure- ments were made with the armatures in different positions, and the mean of these measurements taken as the true resistance. To determine the value of the current, two methods were selected, one based on the production of heat in a circuit of known resistance, and the other upon the com- parison of a definite proportion of the current with that of a Daniell's battery. In the application of the first method, eight litres of water, at a known temperature, were taken and placed in a suitable non-conducting vessel. In this was immersed a German-silver wire, and a sliding contact adjusted to 62 ELECTRIC TRANSMISSION OF POWER. afford a resistance equal to that of the exterior resistance under consideration. This was now introduced into the circuit of the machine. All these arrangements having been made, the temperature of the water was accurately obtained by a delicate ther- mometer. The current from the machine running under normal conditions was allowed to pass, for a definite time, through the calorimeter so provided. From the data thus obtained, after making the necessary corrections as to the weight of the water employed, the total heating effect in the exterior circuit, as given in Table II., was deduced. Since the heat in various portions of an electrical circuit is directly proportional to the resistance of those portions, the total heat of the circuit was easily calculated, and is given in Table III., in English heat units. For ease of reference, the constant has been given for conversion of these units into the now commonly accepted units of heat. Having thus obtained the heating effect, the electrical current is X 772 where C = the weber current per ohm ; "W, the weight of water in pounds ; h, the increase of temperature in degrees Fahr. ; 772, Joule's constant ; E, the resistance in ohms ; t, the time in seconds; and c, the constant 0-737335, the equivalent in foot-lbs. of one weber per ohm per second. The currents so deduced for the different machines are given in Table IV. The other method employed for measuring the current, viz. the comparison of a definite portion thereof with the current from a Daniell's battery, was as follows : A shunt was constructed, of which one division of the circuit was 0-12 ohm and the other 3000 ohms. In this latter division of the circuit was placed a low-resistance COMPAEATIVE EFFICIENCY OF VAEIOUS MACHINES. 63 galvanometer, on which convenient deflections were obtained. This shunt being placed in the circuit of the machine, the galvanometer deflections were carefully noted. These substituted resistances were immersed in water, in order to maintain an equable temperature. Three Daniell's cells were carefully set up and put in circuit with the same galvanometer, and with a set of standard resistance coils. Eesistances were unplugged sufficient to produce the same deflections as those noted with the shunt above mentioned. The shunt ratio, as nearly as could conveniently be obtained, was g^-fonj-. Then the formula c = sn xl'079 ? ir~ where C equals the weber current ; s, the reciprocal of the shunt ratio ; n, the number of cells employed ; 1-079, the assumed normal value of the electro- motive force of a Daniell's cell, and JR, the resistances in the circuit with the battery, gives at once the current. In comparison with the total resistances of the circuit, the internal resistance of the battery was so small as to be neglected. The results obtained were as follows : Name of Machine. Shunt Ratio. Number of Daniell's Cells. Resistances Unplugged Speed of Machine. 3 Ohms. 2 710 Revo- lutions. 1 340- Small Brush 3 700 1 400 Wallace-Farmer . . . .1 Gramme . . . j > > i > 8,320 6,980 4 800 844 1,040 800 > > i The weber currents, as calculated from the above data, are given in Table IV. 64 ELECTRIC TRANSMISSION OF POWER. From the results thus derived, the electro-motive force was deduced by the general formula, E = C x R. The electro-motive force thus calculated will be found in Table IV. TABLE L* SHOWING WEIGHT, POWER ABSORBED, &c., BY DYNAMO- ELECTRIC MACHINES, TESTED BY A COMMITTEE OF THE FRANKLIN INSTITUTE, 1877-78. A Copper- wire in 00 .- Name of Machine. c ^ Armature. Field Magnets. 25* ts || pounds of Power HP. 3 ila Size. Weight. Size. Weight. s Inch. Ibs. Inch. Ibs. Large Brush 475 0-081 32 0-134 100 1,340 107-606 3-26 Small 390 0-063 24 0-096 80 1,400 124-248 3-76 Large Wal-j 600 0-042 50 0-114 125 800 ' lace . ./ Small 350 0-043 18f 0-098 41 1,000 128-544 3-89 Gramme . 366 0-059 104 0-108 104 800 60-992 1-84 Statements are frequently made, when speaking of certain dynamo-electric machines, that they are equal to a given number of Darnell's or other well-known battery cells. It is evident, however, that no such comparison can properly be made, since the electro-motive force of a dynamo-electric machine, in which the reaction principle is employed, changes considerably with any change in the relative resistances of the circuit of which it forms a part, while that of any good form of battery, disregarding pola- risation, remains approximately constant. The internal * These reports have been condensed to show merely the power ex- pended and returnable by dynamo-electric machines. COMPARATIVE EFFICIENCY OF VARIOUS MACHINES. 65 resistance of dynamo-electric machines is, as a rule, very much lower than that of any ordinary series of battery cells, as generally constructed, and therefore, to obtain with a battery conditions equivalent to those in a dynamo- electric machine, a sufficient number of cells in series would have to be employed to give the same electro-motive force ; while, at the same time, the size of the cells, or their number in multiple arc, would require to be such that the internal resistance should equal that of the machine. Suppose, for example, that it be desired to replace the large Brush machine by a battery whose electro -motive force and internal and external resistances are all equal to that of the machine, and that we adopt as a standard a Daniell's cell, of an internal resistance of, say, one ohm. Eeferring to Table IV., the electro- motive force of this machine is about 39 volts, to produce which about 37 cells, in series, would be required ; but, by Table II., the internal resistance of this machine is about 49 ohm. To reduce the resistance of our standard cells to this figure, when 37 cells are employed in series, 76 cells in multiple arc would be required. Therefore, the total number of cells necessary to replace this machine would equal 37 X 76, or 2812 cells, working over the same external resistance. It must be borne in mind, however, that although the machine is equal to 2812 of the cells taken, that no other arrangement of these cells than that mentioned, viz. 76 in multiple arc and 37 in series, could reproduce the same conditions, and, moreover, the external resistances must be the same. The same principles applied to other machines would, when the internal resistance was great, require a large number of cells, but arranged in such a way as to be extremely wasteful, from by far the greater portion of the work being done in over- coming the resistance of the battery itself. The true comparative measure of the efficiency of dynamo-electric machines as means for converting motive- 66 ELECTRIC TRANSMISSION OF POWER. power into work derived from electrical currents, is found by comparing the units of work consumed with the equi- valent unit of work appearing in the circuit external to the machine. In Table V. the comparative data are given. The heat due to local circuits in the conducting masses of metal in the machines, irrespective of the wire, consumes force in what may be conveniently described as the local action of the machine, and is manifestly comparable to the well-known local action of the voltaic battery, since in each case it not only acts to diminish the effective current produced but also adds to the cost. No determinations made with an unknown or abnormal external resistance can be of any value, since the propor- tion of work done, in the several portions of an electrical circuit, depends upon and varies with the resistances they offer to its passage. If, therefore, in separate determina- tions with any particular machine, the resistance of that part of a circuit the work of which is measured, be in one instance large in proportion to the remainder of the circuit, and in another small, the two measurements thus made would give widely different results, since in the case where a large resistance was interposed in this part of the circuit, the percentage of the total work appearing there would be greater than if the small resistance had been used. Wherever an attempt has been made to deter- mine the efficiency of a single machine, or of the relative efficiency of a number of machines, by noting the quantity of gas evolved in a voltameter, or by the electrolysis of copper sulphate in a decomposing cell, when the resist- ance of the voltameter or decomposing cell did not represent the normal working resistance, it is manifest that the results cannot properly be taken as a measure of the actual efficiency. During any continued run, the heating of the wire of the machine, either directly by the current, or indirectly from conduction from those parts of the machine heated COMPAEATIVE EFFICIENCY OF VAKIOUS MACHINES. 67 by local action, as explained in a former part of this report, produces an increased resistance, and a consequent falling off in the effective current. Thus, in Table II., at the temperature of 73-5 Fahr., A 1 , the large Brush machine, had a resistance of 485 ohms, while at 88 Fahr., at the armature coils, it was 0*495 ohm. These differences were still more marked in the case of B 1 . In A 2 , the small Brush machine, it will be noticed that two separate values are given for the resistance of the machine. These correspond to different connections, viz. the resistance, 1*239 ohms, being the connection at the commutator for low resistance, the double conducting wires being coupled in multiple arc, while 5*044 ohms represent the resistance when the sections of the double conductor are coupled at the commutator in series. Eeferring to Table III., the numbers given in the column headed " Heat in external circuit " are the measure of the total heating power in that portion of the circuit external to the machine. In the column headed " Total heat of circuit " are given the quantities of heat developed in the whole circuit, which numbers, compared with those in the pre- ceding column, furnish us with the relative proportions of the work of the circuit, which appear in the external circuit. The column headed " Heat per ohm per second " gives the relative work per ohm of resistance in each case, and these numbers, multiplied by the total resistance, give the total energy of the current expressed in heat units per second. In Table IV. are given the results of calculation and measurement as to the electrical work of each machine. It is evident to those acquainted with the principles of electrical science, that in the weber current and the unit electro-motive force, we have the data for comparing the work of these machines with that of any other machine or F 2 68 ELECTRIC TRANSMISSION OF POWER. S < % * S I i s I ^ & E | S g <- l CO t> CO CO CO cococococo cocococo ooooo -ocpoo OOOOO 0000 iO CO t^" O5 CO GO CO O5 OOr-i rH (NCOrHrH 10 tn 10 10 >o COO5OCOOCOCOCOCOCO HHrHcoi>i>t>'-!t>i> l- s " n w COMPARATIVE EFFICIENCY OF VARIOUS MACHINES. 69 M O II 111!; r s lli I > .s a) S 1^1 W h ft ! Bs i mill as 2o5 fio (MOO t> t> rH O rH (M f-t rH rH 3 $ GO O GO i"^ O^l CO rH O5 O1 CO CO CO (M O GO O IO CO CO - oo co ^ ^ S (M (M co cq S ^ O CO Ci CO t>~ CQ CO O CO o ^ t> (M s H O " s M -M >i M pq O COMPARATIVE EFFICIENCY OF VARIOUS MACHINES. 73 comparison of the figures in this column is decidedly in favour of the Gramme machine, it requiring the smallest proportion of power expended to be lost in local action. When, however, we consider that the current produced by the large Brush machine is nearly double that pro- duced by the Gramme, the disproportion in the local action is not so great. The determinations made enabled the following opinions to be formed as to the comparative merits of the machines submitted for examination : The Gramme machine is the most economical, con- sidered as a means for converting motive-power into electrical current, giving a useful result equal to 38 per cent., or to 41 per cent., after deducting friction and the resistance of the air. In this machine the loss of power in friction and local action is the least, the speed being comparatively low. The large Brush machine comes next in order of effi- ciency, giving useful effect equal to 31 per cent, of the total power used, or 37^ per cent, after deducting friction. This machine is, indeed, but little inferior in this respect to the Gramme, having, however, the disadvantage of high speed, and a greater proportionate loss of power in friction, etc. This loss is nearly compensated by the advantage this machine possesses over the others of working with a high external, compared with the internal, resist- ance, this also insuring comparative absence of heating in the machine. This machine gave the most powerful current. The small Brush machine stands third in efficiency, giving a useful result equal to 27 per cent., or 31 per cent, after deducting friction. Although somewhat inferior to the Gramme, it is, nevertheless, a machine admirably adapted to the production of intense currents, and has the advantage of being made to furnish currents of widely varying electro-motive force. By suitably 74 ELECTEIC TRANSMISSION OF POWER. connecting the machine, as before described, the electro- motive force may be increased to over 120 volts. It possesses, moreover, the advantage of division of the conductor into two circuits, a feature which, however, is also possessed by some forms of other machines. The simplicity and ease of repair of the commutator are also advantages. Again, this machine does not heat greatly. The Wallace-Farmer machine does not return to the effective circuit as large a proportion of power as the other machines, although it uses, in electrical work, a large amount of power in a small space. The cause of its small economy is the expenditure of a large proportion of the power in the production of local action. By remedying this defect a very admirable machine would be produced. After careful consideration of all the facts, the Committee unanimously concluded that the small Brush machine, though somewhat less economical than the Gramme ma- chine, or the large Brush machine, was, of the machines experimented with, the best adapted for the various pur- poses of the Institute, chiefly for the following reasons: It is adapted to the production of currents of widely- varying electro-motive force, and from the mechanical details of its construction, especially at the commutators, it possesses great ease of repair to the parts subject to wear. During the competitive trials at the Franklin Institute, as to the relative efficiency of the machines, as noted in the preceding pages, Professors Houston and Thomson took the opportunity thus afforded to make a careful study of many interesting circumstances which influence the efficiency of these machines. A convenient arrangement of the particular circum- stances to be discussed is : (1) those affecting the internal work of the machines ; (2) those affecting the external work; and (3) the relations between the internal and external work. COMPARATIVE EFFICIENCY OF VARIOUS MACHINES. 75 The mechanical energy employed to give motion to a dynamo-electric machine is expended in two ways : (1) in overcoming the friction and the resistance of the air ; and (2) in moving the armature of the machine through the magnetic field, the latter, of course, constituting solely the energy available for producing electrical currents. The greatest amount of power expended in the first way was noticed to be about 17 per cent, of the total power employed. This expenditure was clearly traceable to the high speed required by the machine. The speed, there- fore, required to properly operate a machine is an import- ant factor in ascertaining its efficiency. The above percent- age of loss may not appear great ; but when it is com- pared with the total work done in the external circuit, constituting as it did in this particular instance over 50 per cent, of the latter, and about 33 per cent, of the total work of the circuit, its influence is not to be dis- regarded. In another instance the work consumed as friction was equal to about 80 per cent, of that appearing in the external circuit as heat, while in the Gramme machine experimented with this percentage fell to 20, and was only about 7 per cent, of the total power consumed in driving the machine. In regard to the second way in which mechanical energy is consumed, in overcoming the resistance neces- sary to move the armature through the magnetic field, or, in other words, to produce electrical currents, it must not be supposed that all this electrical work appears in the circuit of the machine, since a considerable portion is expended in producing local circuits in the conducting masses of metal, other than the wire, composing the machine. The following instances of the relation between the actual work of the circuit, and that expended in local action, will show that this latter is in no wise to be neglected. In one instance an amount of power, some- 76 ELECTEIC TRANSMISSION OP POWER. what more than double the total work of the circuit, was thus expended. In another instance it constituted less than one-third the total work of the circuit. Of course, work expended in local action is simply thrown away, since it adds only to the heating of the machine. And, since the latter increases its electrical resistance, it is doubly injurious. The local action of dynamo-electric machines is analo- gous to the local action of a battery, and is equally injurious in its effect upon the available current. Again, in regard to the internal work of a machine, since all this is eventually reduced to heat in the machine, the temperature during running must continually rise until the loss by radiation and convection into the sur- rounding air equals the production, and thus the machine will acquire a constant temperature. This temperature, however, will differ in different machines, according to their construction, and to the power expended in pro- ducing the internal work, being, of course, higher when the power expended in producing the internal work is proportionally high. If, therefore, a machine during running acquires a high temperature when a proper external resistance is employed, its efficiency will be low. But it should not be supposed that because a machine, when run without external re- sistance that is, on short circuit heats rapidly, that inefficiency is shown thereby. On the contrary, should a machine remain comparatively cool when a proper ex- ternal resistance is employed, and heat greatly when put on short circuit, these conditions should be regarded as a proof of its efficiency. In regard to the second division, the external work of the machine, this may be applied in the production of light, heat, electrolysis, magnetism, &c. Perhaps the highest estimate that can be given of the efficiency of dynamo-electric machines, as ordinarily used, COMPAKATIVE EFFICIENCY OF VARIOUS MACHINES. 77 is not over 50 per cent.; measurements have not given more than 38 per cent. Future improvements may in- crease this proportion. Since the efficiency of an ordinary steam-engine and boiler in utilising the heat of the fuel is probably over-estimated at 20 per cent., the apparent maximum percentage of heat that could be recovered from the current developed in a dynamo-electric machine would be over-estimated at 10 per cent. The economical heating of buildings by means of electricity may, there- fore, be regarded as totally impracticable. In respect to the relations that should exist between the external and the internal work of dynamo-electric machines, it will be found that the greatest efficiency will, of course, exist where the external work is much greater than the internal work, and this will be proportionally greater as the external resistance is greater. 78 ELECTRIC TRANSMISSION OF POWER. CHAPTER IX. OTHER THEORETICAL CONSIDERATIONS. MR. DESMOND FITZGERALD lias pointed out that in the case pi of any electro-motor the equation I = is strictly ap- plicable. In the voltaic battery, however, a variation of E does not necessarily affect E which is altogether independent of such variation when this occurs in the external portion of the circuit. Thus we have generally I cc , or current varies inversely as the resistance in circuit. Again, a variation of E does not necessarily affect R ; and, when the external resistance of the circuit bears a high ratio to the battery resistance, a variation of the electro-motive force, from E to E x and addition to, or diminution of, the number of cells in series causes the TT current to vary approximately in the ratio =* Accurately, the variation in any case is determined by the ratio TT T? ^ * when p is the resistance of the cell or cells & K -f- jj p added or subtracted. Thus, E 1 E x R E! E X ER-j-Ep ~ R+7 Thus, in the case of a telegraph circuit, for instance, we have, approximately, I cc E. On the other hand, in the OTHER THEORETICAL CONSIDERATIONS. 79 dynamo-electric machine, converting into electrical work 1 E 2 a given HP., I cc =., since the ratio being constant, f K -ti E 2 cc K, E x /X and cc --~ = --L. Thus, any variation of B in this case necessarily affects E. Again, any variation of E necessarily affects R ; and the product E I being constant, we have I x =, a somewhat Jij startling result, which to some observers has appeared contradictory to the law of Ohm. With this, however, it is in perfect accord in effect, since E cc J K, R cc E 2 , E E 1 and x = - ; or, when E is varied, the current varies xv xj- 1 jit inversely as the electro-motive force, because the resistance varies as the square of this value. It will be seen that R cc E 2 - , and that the same quantity of work will be done by the current whatever may be the resistance in circuit. If hp. be taken to express the total horse-power con- verted into electrical work (in the whole circuit), under the best conditions, with a Gramme machine of the form experimented with at the Franklin Institute, HP. = hp. X 1-39, and the efficiency of the machine is expressed by hp. HP. = 0-72 (nearly). Or the machine can convert into electrical work 72 per cent, of the energy expended upon it. The ratio = is the measure of the efficiency of dynamo- 80 ELECTRIC TRANSMISSION OF POWER. electric machines. In the case of the Gramme machine under the best conditions, we have HP. = hp. x 1-39. Mr. L. Schwendler has observed that the currents pro- duced by dynamo-electric machines, as the insertion of a Bell telephone (used as a shunt) will easily prove, are not steady. The dynamo-electric machine with the greatest number of sections in the induction cylinder gives the steadiest current. Twelve sections are found to be neces- sary and sufficient. That the current produced by any dynamo-electric machine through a given constant total resistance in circuit increases permanently with the speed of the induction cylinder. This increase of current for low speeds is more than proportional to the speed ; after- wards it becomes proportional, and for high speeds the increase of current is less than proportional to the speed. The current has, however, no maximum for any speed, but reaches its greatest value at an infinite speed. This same law, as the total resistance in circuit is supposed to be constant, of course holds good also for the electro-motive force of the dynamo-electric machine. Keeping the speed constant, the electro-motive force of any dynamo-electric machine decreases rapidly with in- crease of external resistance. This decrease is more rapid the smaller the internal resistance of the dynamo-electric machine is made. Hence the currents must decrease much more rapidly than proportional to the total resistance in circuit. As in the case of speed, the electro-motive force has no maximum for a certain external resistance, but approaches permanently its greatest value for an external resistance equal nil. It appears that the function which connects electro-motive force and speed is the same as that which connects electro-motive force and external resistance. We have only to substitute for speed the OTHER THEOKETICAL CONSIDERATIONS. 81 inverse of resistance, and vice versa. As to the maximum work by a current in a resistance r, the current decreased much more rapidly than the total resistance in circuit increased, and this resistance r should invariably be made smaller than the remaining resistance of the circuit, i.e., smaller than the internal resistance of dynamo-electric machines plus resistance of leading wires. With regard to the electro-motive force of a dynamo- electric machine as a function of the resistance and speed, it appears that the formulae are most probably correct for all dynamo-electric machines if the loss of current by transmission is taken into account : E being the E M F, ra the internal resistance, and r the ex- ternal resistance, including resistance of leading wire. k and a are independent of m and r, and are the functions of the speed of the induction cylinder, containing also the construction coefficients, e is the basis of the natural logarithm. Further, E 1 = K E 1 being the E M F, and v the speed of the induction cylinder. k l and a 1 are independent of v and are functions of m and r only. These two functions, E and E 1 , correspond to all the characteristics of the curves found by experi- ment, and they also fulfil the limit conditions. In respect to the regularity of the production of currents by dynamo-electric machines at different periods, if the brushes are well set, and if they are placed as nearly as G 82 ELECTRIC TRANSMISSION OF POWER. possible in the neutral line of the commutator,* the pro- .duction of current is perfectly regular, and measurements taken through the same external resistance at the most distant periods agree most perfectly with each other, sup- posing the correction for variation in speed and internal resistance to be applied. Disregarding the heating of the dynamo-electric machine by the current, the time required to arrive at dynamic equlibrium, i.e., when force trans- mitted, current, and magnetism received are constant, is very short indeed, especially for strong currents. As the power which is represented by the measured current working through a given resistance can never exceed the original power transmitted to the machine, we can, from current, resistance, and force measurements, frame a formula which checks the probability of the results. This formula is : C< .33^/^^. r-\~m W 1 is the total power consumed by any dynamo-electric machine when producing the observed current C in a circuit of resistance r -j- m ; w l is the power consumed by the dynamo-electric machine when producing no current (i.e. driven empty, circuit open, external resistance in- finite) ; r is the external resistance, and m the internal resistance. In the above formula C is in webers, W 1 and w l in meg-ergs per second, and r and m in Siemens' units. Of late, exaggerated statements of the performance of dynamo-electric machines have been made, the absurdity of which would have become evident at once if the above formula had been applied as a check to the results. If all the work ( W 1 w l ) were transformed into available * M. A. Breguet states that the maximum and steadiest current results from the brushes being placed at an angle with the neutral line, dependent in amount upon v. OTHER THEORETICAL CONSIDERATIONS. 83 W 1 10 current in the external circuit, then = unity, where W is the total work performed by the observed current in a circuit of known resistance. In practice it will be found, . however, that -- > 1 (for many reasons). This ex- presson, , is called the coefficient of transmission, and designated by the letter k. k is different for the different dynamo-electric machines which have been tried, and decreases with increase of current. Producing cur- rents above 24 webers, the following average vahies of k have been obtained : i Average Current in Webers. 1 01 31 1 12 31 1 1 28 27 9 W , w is the useful work done in the circuit W 1 w 1 by the current As the resistance of dynamo-electric machines and leading wires cannot be made nil, the coefficient of efficiency must be always smaller than unity. For currents above 24 webers, we have : e. ' Average Current. 0-62 29-5 0-53 31-0 0-47 32-6 0-30 27-9 84 ELECTRIC TRANSMISSION OF POWER. As to the practical mechanical equivalent of the currents W 1 ?i produced by dynamo-electric machines, it = ~ , where O is the current in webers. Above 24 webers, different dynamo-electric machines produce the weber at the fol- lowing comsumption of power: 1 weber at 686*5 meg- ergs per second, 1 weber at 736 meg-ergs per second, 1 weber at 920 meg- ergs per second. CONCLUSIONS. 85 CHAPTER X. CONCLUSIONS. THE feasibility of electric transmission of power having been proved from consideration of mechanical efficiency both as regards current developed from mechanical power and as mechanical power reclaimed from the current thus produced, we have learnt from unimpeachable evidence that the power reclaimed may easily amount to 48 per cent, of that expended in the first instance. This amount of reclaimed power is indubitably superior to that obtained with compressed air, and approaches the practical effi- ciency of hydraulic transmission. Electric transmission has, however, the unparalleled advantage of being superior to the obstacle presented by distance, whilst it is at the same time easily portable, and can be changed in direction, as well as in intensity, at will. No force appears in the connecting portions or conductor, such as appears during mechanical transmission with shafting, or in pipes with compressed air or water. The conductor appears inert, and can be shifted, bent, or in any way moved whilst transmitting many horse-power. Its continuity must not, of course, be interrupted. The source of power and the point of reclamation may be relatively situated most awkwardly, but the electric conductor can be brought round the sharpest corner, or carried through the most private room without incon- venience. There is nothing to burst or give way. The same circuit as may be tapped to provide the means of working power-machinery can be as conveniently tapped to work a sewing-machine. 86 ELECTRIC TRANSMISSION OF POWER. In mining operations electric transmission will doubt- less become of the highest value, since it involves no danger. Machines for this purpose could be easily con- structed without a commutator, so that sparks could be avoided, with only small loss of power. The ready portability offers great inducements to the mining engineer. For ploughing by power, trials made in France show that electricity can replace steam with advantage and economy. And, in Scotland, power obtained from a waterfall has been transmitted one mile and a half. Dredges could be reduced in size, and worked from a central motor, so that smaller channels could be cleansed mechanically than are now subject to this method. In mills and factories inaccessible rooms can be utilised for power- worked machinery. These are but a few advan- tages. A millennium might be anticipated when the water- power of a country shall be available at every door, for electric-power conductors can be laid in the streets more easily than gas or water-pipes. But, says the economist, what about cost? Acknow- ledging these great advantages, what is there to pay for them ? And the economist can be satisfactorily answered. Leaving out of count the scheme proposed by Sir William Thomson, in which we might have our water conveyed to us through pipes, the metal of which conducted the electricity for our power, we have to consider what is necessary in transmitting power electrically. First, we require to generate our electricity, and water- power is, of course, preferable if available. If not avail- able to generate electricity, it surely will not be available to compress air or force water, because these are only to be carried through comparatively short distances, and the original power question may be cancelled from the equation as being a common element. Keference, it need scarcely be said, is made only to cases where distance is involved. As our efficiency is good, we have only to consider (1) the CONCLL'SibivS/ ' 87 cost of the motor and moved engines, and (2) the cost of the conducting systems. The motor and moved engines being in practice iden- tical, the consideration of one suffices for. both. These machines, as has been shown, are very simple in con- struction, and consist essentially of so much cast-iron and insulated copper wire, the market prices of which are known, so that the cost of any machine for developing so much horse-power may be easily calculated. The labour of construction should form an unimportant item, for none of the skill is involved such as is required in the con- struction of even the most common steam, air, or gas- engine. The quantities of materials required are but little, if more, costly, in the case of electric machines, and this excess of cost is due. to infrequency of de- mand. The construction of machines of size hitherto unattempted is not required, and it has been shown by Prof. Thomson that electric machines of 1000 HP., as proposed by Dr. Siemens, are not necessary, so that there would be no need to attempt to refute the question of cost of so unusually large-sized engine as of that Mr. Sprague has entered into. It has been shown that ten 100- HP. engines would give better results as regards efficiency, whilst at the same time it would be nearly impossible that all the machines could fall out of repair simultaneously. The arrangements of machines being thus consonant with the use of a small conductor, as shown in the previous pages, there is the further advantage in laying this conductor, that no air or water-tight joints have to be made. Taking such joints into consideration, it would be easy to show by figures that an efficiently insulated electric conductor to transmit the same power could be laid at less cost than with air or water, and certainly less than with gas pipes. The advantages of electric transmission, it is to be hoped, are worthy therefore of the attention of every engineer interested in transmitting power. LONDON : PBINTED BY WILLIAM CLOWES AND SONS, STAMFORD STREET AND CHARING CROSS. BOOKS RELATING TO APPLIED SCIENCE, PUBLISHED BY E, & F, N, SPON, LONDON : 46, CHARING CROSS. 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Staining, and Painting Glass Making Glues Gold Graining Gums Gun Cotton Gunpowder- Horn Working Indiarubber Ink (Writing and Printing) Japans, Japanning, and kindred processes Lacquers Lathing Leather Lubricants Marble Working Matches Mortars Nitro-Glycerine Oils Paper Paper Hanging Painting in Oils, in Water Colours, as well as Fresco, House, Transparency, Sign, and Carriage Painting Photography Pig- ments Plastering Polishes Pottery (Clays, Bodies, Glazes, Colours, Oils, Stains, Fluxes, Enamels, and Lustres) Scouring Silvering Soap Solders Tanning Taxidermy Tem- pering Metals Treating Horn, Mother-o'Pearl, and like substances Varnishes, Manufacture and Use of Veneering Washing Waterproofing Welding Whitewashing. Besides Receipts relating to the lesser Technological matters and processes, such as the Manufacture and Use of Stencil Plates, Blacking, Crayons, Paste, Putty, Wax, Size, Alloys, Catgut, Tun- bridge Ware, Picture Frame and Architectural Mouldings, Compos, Cameos, and others too numerous to mention. 1 6 PUBLISHED BY E. & F. N. SPON. THE TRANSACTIONS OF THE SOCIETY OF ENGINEERS. Published Annually. 8vo, cloth, price 15^. THE JOURNAL OF THE IRON AND STEEL INSTITUTE. Published Half-yearly. 8vo, sewed, price Js. 6d. THE JOURNAL OF THE SOCIETY OF TELEGR^f H ENGINEERS. Published Quarterly. 8vo, sewed, price fs. 6d. THE PKOOEEDINaS OF THE ASSOCIATION OP SANITARY AND MUNICIPAL ENGINEERS AND SURVEYORS. Published Annually. 8vo, cloth, price los. 6