II RECORD Four troubles were studied, occurring respectively on September 18th, 1919, 3:47 P.M. September 18th, 1919, 5:27 P.M. October 22nd, 1919, 12:20 P.M. May 19th, 1919, 7:25 A.M. The generating system is divided into four sections, connected in tandem, with the A section of Fisk Street, and the Northwest Station as the two ends of the chain, and with power limiting reactors stated to be 1.75 ohms each, between Fisk A and Quarry Street, and between Quarry Street and Fisk B, and six tie cables of negligible reactance and about .3 ohms joint resistance between Fisk B and the Northwest Station. 1.) Sept. 18th, 19193:47 P. M. a) A short circuit close to the busbars of B section of Fisk Street held on for several seconds, before it was opened. As there are no power limiting reactors between Fisk B and North- west Station, and the six tie cables between these stations are of very low resistance, the Northwest Station was just as seriously affected as Fisk B, and indeed acted like a part of Fisk B. b) All the synchronous machines on Fisk Street B, and on North- west Station dropped out, and many synchronous machines on Fisk A and Quarry Street: 44 synchronous machines on Fisk B and 18 on Northwest are recorded as shut down. Of 26 machines on Fisk A, 12 dropped out and 14 stayed in; of 8 machines on Quarry Street, 4 dropped out and 4 stayed in. [[END_PDF_PAGE:16]] [[PDF_PAGE:17]] Report of Charles P. Steinmetz 11 c) Due to the voltage dropping to zero under the short circuit, the turbo-alternators in Fisk B and Northwest Station dropped out of syn- chronism with each other, and out of synchronism with Quarry Street and Fisk A; but Quarry Street and Fisk A remained in synchronism with each other. d) Due to the load being taken off by the dropping out of syn- chronous machines, the turbo-alternators in Fisk B and in the North- west Station speeded up until the emergency governors tripped the steam valves. The turbo-alternators were put back on the governors immediately. e) The turbo-alternators in Fisk B and in Northwest Station did not pull into step with each other, but remained out of synchronism; the voltage at the busbars of these two stations remained practically zero, and an excessive current fed into Fisk B from Quarry Street, heating the power limiting reactor B. f ) After 7 minutes, the tie line between Fisk Street B and Quarry Street, that is, the power limiting reactor B, was opened, and Quarry Street and Fisk A, came back to normal. About the same time, the 30,000 KW machine in Northwest Station began to lose its excitation, and was disconnected. g) Fisk B and Northwest remained out of synchronism with each other, with practically zero voltage at the busbars, for six minutes longer. Then the voltage suddenly came back, the alternators in Fisk B pulling into synchronism with each other and with the one remaining (20,000 KW) machine in Northwest. Remarks : a) A short circuit at the busbars of a station section, pulling the voltage down to zero, necessarily must drop out all the synchronous machines on this section, unless the short circuit is opened so quickly, that the synchronous machines during the period of zero voltage did not yet drop behind by half a pole, but at the reappearance of voltage are still in step. With a dead short this would usually require opening the short in a fraction of a second. b) The purpose of sectionalizing the system by power limiting reactors was to limit trouble occurring on one station section to this section, and keep it from affecting the other sections. The system of sectionalizing therefore has not worked satisfactorily in this case, as all the synchronous machines in Northwest, and nearly [[END_PDF_PAGE:17]] [[PDF_PAGE:18]] 12 Report of Charles P. Steinmetz half in Fisk A and Quarry Street have dropped out due to the trouble in Fisk B. There is no power limitation between the Northwest Station and Fisk B, and any trouble on one of these two stations thus affects the other with practically the same severity. This is undesirable, as thereby trouble on one of these stations affects too large a part of the entire system. It is dangerous, as Fisk B and Northwest combined give too large a power for safe handling under all emergencies. Furthermore, due to the connection between these stations being practically all resistance and no reactance, the synchronizing power between Fisk B and Northwest must be small, and when synchronism is once lost under short circuit, etc., trouble must be anticipated in these stations pulling into synchronism with each other. The interference between Fisk A, Quarry Street and Fisk B sections which are connected with each other by power limiting reactors re- sults in serious trouble on one of these sections dropping out numerous synchronous machines in the other sections. It may partly be direct interference between the station sections, partly through substations fed simultaneously by several of these sections, and either requires fur- ther investigation. c) If the busbar voltage of a station section drops to zero by short circuit, for a sufficiently long time to permit the turbine speeds to change appreciably, this station section is out of synchronism with the rest of the system, as at short circuit of zero voltage there is nothing to hold it in step. As soon, however, as the short is removed, the volt- age should come back and the station section drop into step again with the rest of the system. This did not occur, but station sections remained out of step with each other at practically zero voltage for a considerable time, about a quarter of an hour. Apparently, the synchronizing power between the station sections is lower than desirable, and the speed con- trol of the alternators not such as to bring them promptly so close together in speed as to drop into step. d) The tandem or chain connection of the stations has the disad- vantage that if an intermediary station, as Fisk B or Quarry Street, even momentarily drops out of synchronism by a short circuit, the system is cut in two. Ring connection of the station sections would have the advantage that, if one station section drops out of step by some accident, all the other station sections are still connected with each other and thereby can remain in synchronism. [[END_PDF_PAGE:18]] [[PDF_PAGE:19]] Report of Charles P. Steinmetz 13 2.) Oct. 22nd, 191912:20 P. M. The trouble was very similar to that on September 18th, 3:37 P. M., a short circuit close to the busbar of Fisk B, except that: a) The short circuit apparently opened very quickly. b) The tie lines were operated manually, separating Fisk B and Northwest stations. c) Most of the synchronous machines on Fisk B and Northwest, and a few on Fisk A and Quarry Street dropped out: Of 52 synchron- ous machines on Fisk B and Northwest, 46 are recorded as dropped out, six as remaining in synchronism; of 6 machines on Quarry Street, 2, and of 35 machines on Fisk A, 4 dropped out, the remaining stayed in step. d) In Fisk Street B, and Northwest, the voltage dropped to prac- tically zero, but came back at the opening of the tie line. Remarks: Apparently, the interference between the stations was less in this case, probably due to the short duration of the short circuit, and the opening of the tie line B, so that only few synchronous machines fell out in the other sections, and some even stayed in step in the disturbed section if the report is correct. 3.) Sept. 18th, 19195:27 P. M. a) One hour forty minutes after the first trouble, resulting from a short near the busbars of Fisk B, a short circuit occurred near the busbar of Fisk A, and held for several seconds, while the tie line reactor B was still open, that is, Fisk B and Northwest cut off from Quarry Street and Fisk A. b) All synchronous machines on Fisk A dropped out, and a few on Quarry Street, Fisk B and Northwest; 39 synchronous machines on Fisk A are recorded as having dropped out, 3 on Quarry Street, 5 on Fisk B and 1 on Northwest. Remarks: a) Some synchronous machines dropped out on Fisk B and North- west, although the tie line between these stations and the station in which the trouble occurred, was open, showing interference between generating stations through the substations; these synchronous ma- chines were in the same stations with machines fed from Fisk A or Quarry Street. [[END_PDF_PAGE:19]] [[PDF_PAGE:20]] 14 Report of Charles P. Steinmetz b) The synchronous machines on Fisk B, Northwest and Quarry Street, which dropped out, did so by overload. This is undesirable as with numerous synchronous machines, fed from the troubled station A, dropped out, those which receive power from the other stations should hold on to carry the load. 4.) May 19th, 1919 7:25 A. M. a) A generator in Fisk Street A burned out, short circuiting with only the generator power limiting reactance, of about .4 ohms, between the short and the busbars. b) The voltage dropped about 1,000 volts in all four station sec- tions a little more in Fisk A, where the trouble occurred, a little less in Fisk B and Northwest, the stations most remote from the trouble. c) A violent fluctuation of voltage resulted in all four stations, with an amplitude apparently of 1,000 to 2,000 volts, most severe in Fisk A, where the trouble originated, of an irregular period of about 1 second per beat. d) The tie line reactor B, got very hot. e) The drop of voltage and the voltage fluctuation lasted for 18 minutes, with only slight decrease. Then they suddenly disappeared and normal voltage returned. f) During the disturbance, the frequency of the system fluctuated by about two cycles, that is 8%, and three machines in Fisk A where the trouble originated tripped their excess speed governors and cut off steam. g) Some synchronous machines dropped out of step, but the exact record is no more available. Remarks: a) The fluctuation and drop of voltage, extending over all four stations, and its long duration, probably were of similar nature and cause as the loss of voltage in the trouble on September 18th and October 22nd. b) The most serious question, which unfortunately cannot be de- cided with the present data, is : whether this voltage drop and fluctua- tion was an actual hunting of the generating stations against each other, due to lack of synchronizing power, or whether it was hunting of the steam governors of the stations against each other, or whether it was only apparent, and due to the reaction on the generators of the substations when starting synchronous machines. This should be fur- ther investigated. [[END_PDF_PAGE:20]] [[PDF_PAGE:21]] Report of Charles P. Steinmetz 15 c) It appears to me certain that in this case the generating stations have remained in synchronism with each other throughout the entire 18 minutes of disturbance. If the station sections had dropped out of synchronism with each other, materially greater voltage drops should have occurred. d) The observed speed fluctuation, by 8%, then would mean that the entire system simultaneously speeded up and slowed down, but not that material speed differences existed at the same time between different turbines. During such periodic speed pulsations, temporarily some machines may run faster than others, but for such short time only, as not to slip out of synchronism. As the observed speed fluctua- tion is close to the range, for which the excess speed governors are set, it may be expected that some machines may trip their emergency cut off, and as the speed fluctuation may be expected to be greatest at the source of disturbance, Fisk A, the tripping out may be expected first in Fisk A, as was observed; 3 machines tripped out there. e) Suppose a large number of synchronous machines are tripped out by a momentary short circuit, but the voltage immediately comes back at the opening of the short, and a number of substations immedi- ately proceed to start their synchronous machines from the alternating side. Even with such large station sections, the starting of several large synchronous machines would temporarily pull down the voltage. The voltage would rapidly recover by the speeding up of the synchron- ous machines which had been started. This would cause some other substations to start their synchronous machines and again pull down the voltage, and so a series of successive voltage drops and recoveries would result in irregular sequence, until the last synchronous machine is started. This would, in the voltage curve, give the appearance of a hunting pulsation, such as shown by the records. This theoretically is a possibility, but whether it was the cause, cannot be decided from the records. Synchronoscopes between the station sections, however, would indi- cate that it is not a true hunting, due to instability of the station sections, but a voltage fluctuation due to excessive fluctuating lagging load, as given by the starting of synchronous machines. f) Sufficiently sensitive synchronoscopes between the station sec- tions would indicate whether the station sections are in phase with each other or out of synchronism, whether they are hunting against each other, and whether and what phase displacement exists between the station sections. [[END_PDF_PAGE:21]] [[PDF_PAGE:22]] 16 Report of Charles P. Steinmetz HI OPERATION Momentum of Alternators The emergency steam cut offs of the turbo-alternators are stated to he set for an excess speed of about 10%. Considering the 12,000 KW units typical and of most interest, since most of the units in Fisk Street where the trouble originated are of this size. An increase of speed of 10% with the steam valve open for full load, would require 2 2/3 seconds. With the steam valve opened for over- load, by a momentary short circuit, the speeding up to the speed limit would occur still more rapidly. The ordinary steam governor cannot well be made to act quicker than this, in cutting steam off completely, without danger of steam governor hunting interfering with the stability of the system; furthermore, all the steam in turbine and the passages beyond the valve would still accelerate it. Thus tripping of the excess speed emergency steam cut off may be expected whenever a serious short circuit on a station section drops out all the synchronous machines and thereby suddenly relieves the load. Deceleration tests were made by the operating engineers on four turbo-alternators, with excitation and without excitation, by allowing the machines to speed up on the throttle, until the excess speed cut off tripped, and then observing the rate of slowing down. The observed excess speed above normal, at which the emergency cut off operated, varied from 6.7% to 12% with the different machines, and varied by as much as 1.3% in successive tests of the same ma- chine. With the steam valve wide open during acceleration, an appre- ciably higher excess speed may be expected. The rate of slowing down, after the steam is cut off, varied from 4% to 13.4% per minute at no excitation and from 6.75% to 20.4% per minute with the field excited. It follows herefrom: suppose by a short circuit lasting an appre- ciable time, the load is dropped, and the turbo-alternators speed up and trip their emergency steam valves and then begin to slow down. Then the individual turbo-alternators in the different station sections, and even in the same station section, may be expected to differ ma- terially from each other in speed, probably as much as 5 to 10%. With such great differences of speed, between the different machines, diffiulties in synchronizing, that is, in the machines pulling each other into step, may be expected, especially between different station sections. [[END_PDF_PAGE:22]] [[PDF_PAGE:23]] Report of Charles P. Steinmetz 17 SYNCHRONIZING A If two alternators, or groups of alternators, such as station sections, are connected together in synchronism, that is, at the same speed, but out of phase with each other, they tend to pull each other into phase. The machine which is ahead in phase, gives off power and thereby drops back, slows down, and the machine which is behind in phase, receives power and thereby runs ahead, speeds up, and as the result, when the two machines have come in phase with each other, the one which was ahead, is going slower, the one which was behind is going faster, and the former now drops behind, the latter runs ahead in phase, and the phase difference between the machine reverses, and the ma- chines thus oscillate against each other, while the interchange current between the machines fluctuates between a maximum value at maximum phase difference, and zero or a minimum value when machines are in phase. If there were no damping effects, this oscillation would con- tinue with constant amplitude. Due to the damping effects exerted mainly by the lag of the field flux behind the resultant field excitation (the armature reaction component of the synchronous impedance), the amplitude of the oscillation steadily diminishes, until the oscillation disappears. That is, the interchange current between two alternators which are in synchronism but out of phase, pulsates, with approximate- ly constant frequency of the beat, but with an amplitude, which grad- ually decreases to nothing. If the EMFs of the two machines are equal, then at the moment when the two machines are in phase, there is no resultant EMF, and thus no current, and when the machines are out of phase, the resultant EMF is approximately in quadrature with the EMF of either machine. If then the circuit between the two machines should contain only resistance but no reactance, the interchange current between the two machines would be in phase with the resultant EMF, thus in quadrature to the EMF of either machine, or a wattless current with regards to the EMFs of the machines, that is, there would be no power transfer be- tween the machines, or no synchronizing power. If, however, in the circuit between the two machines the resistance is negligible compared with the reactance, the interchange current lags (approximately), 90 degrees behind the resultant EMF, thus is in phase with the EMF of the one machine, in opposition with that of the other machine, thus is an energy current consuming power from the one and delivering power to the other machine. Thus only the reactive component of the inter- change current between two alternators which are in synchronism but [[END_PDF_PAGE:23]] [[PDF_PAGE:24]] 18 Report of Charles P. Steinmetz out of phase, transfers power between the alternators and is synchron- izing current, while the energy component of the interchange current does not contribute to bring the machines into phase. If the EMFs of the two machines are unequal, then upon the power transferring or synchronizing current due to the phase difference, super- poses a reactive current which magnetizes the machine of lower voltage and thereby raises its voltage, and demagnetizes the machine of higher voltage and thereby lowers its voltage, but does not transfer power be- tween the machines and does not appreciably change the phenomena of power transfer by the synchronizing current, so that here and in the following, where we are mainly interested in the magnitude of the effects, we may for simplicity assume equality of EMF of the machines. B If two alternators or groups of alternators such as station sections, are connected together out of synchronism, that is while differing from each other in frequency, they slowly slip past each other, and during each cycle of slip, or beat, a periodic energy transfer takes place, while the interchange current periodically rises and falls. During one-quar- ter the cycle of slip, or beat, the alternators are partly in phase with each other, that is, their EMFs are in the same direction. The slower machine then receives energy and accelerates, the faster machine gives off energy and slows down and the two machines thus are brought nearer to each other in speed, pulled towards synchronism. During the next quarter cycle of speed, however, the alternators are partly in opposition, that is their EMFs are in opposite directions. The faster machine then receives energy and speeds up, the slower machine gives off energy and slows down, and the two machines pull apart again, by the same amount by which they pulled together in the preceding quarter cycle of slip. Thus the machines can pull into step only if the energy transferred during one-quarter cycle of slip is sufficient to bring them into step, that is, is larger than the energy required to speed the momentum of the slower machine up to synchronous speed (or slow down the momentum of the faster machine to synchronism) . This gives the maximum value of slip from synchronism, at which the machines will promptly pull into step, or the limits of synchronizing power. c If, however, the two machines, or station sections, are out of syn- chronism with each other by a greater speed difference than that from which they can pull each other into step in one-quarter cycle of slip, [[END_PDF_PAGE:24]] [[PDF_PAGE:25]] Report of Charles P. Steinmetz 19 and if the machine voltage were perfectly constant, then the machines would never come into synchronism, but would continue indefinitely to slip past each other, coming nearer together during the one-quarter cycle of slip where their voltages are in the same direction, and drifting apart again by the same amount during the next quarter cycle of slip, where their voltages are in opposition. In reality, however, the EMF of the machines is not constant, but must vary periodically with the frequency of the current fluctuations, that is, twice the frequency of the slip. The current in the circuit between the two alternators pul- sates, between large values during the quarter cycle of slip, when the EMFs of the alternators are in opposition, and small values during the next quarter cycle of slip, when the EMFs are in the same direction, and with it varies the armature reaction. The phase difference between the resultant current, and the EMF of each alternator periodically changes from to 360 degrees, during each cycle of slip. With the periodic fluctuation of the current and its phase angle, the armature reaction of the machine fluctuates, and thereby gives a periodic fluc- tuation of voltage. As, however, the armature reaction requires an appreciable time to develop, the voltage fluctuation is not in phase with the fluctuating current, but lags behind it, by an angle depending on the time required for the armature reaction to exert its magnetizing effect. The result thereof is that the power interchange between the two alternators is not entirely alternating with the frequency of the slip, that is, alternately accelerating each machine and then again slowing it down by the same amount, but has a constant though small component, which is positive, that is, accelerating in the slower, and negative, that is retarding, in the faster machine. This represents a continuous synchronizing power, which steadily pulls the machines together in speed, until their speed difference has become small enough to pull suddenly into step. If thus two alternators, or station sections, are out of synchronism with each other by so great a frequency difference, that they cannot pull each other into step within one-quarter cycle of slip, then the alternators continue slipping past each other, with large fluctuating currents flowing between them. These current fluctuations and the voltage fluctuations caused by them do not decrease (as in hunting or in other synchronous oscillations), but remain practically constant in amplitude, but the fluctuations gradually become slower, that is, the frequency of beats decreases, while the machines pull nearer together in frequency, that is, their speed difference decreases, until the critical speed difference is reached, where the acceleration during one-quarter [[END_PDF_PAGE:25]] [[PDF_PAGE:26]] 20 Report of Charles P. Steinmetz cycle of slip brings the machine up to full synchronism. Then sud- denly the machines drop into step with each other, the excess current vanishes and normal voltage comes back, after a short oscillation of constant frequency of beats, but rapidly decreasing amplitude. Apparently, this is what happened in the trouble on September 18th, 1919. If two alternators or groups of alternators such as station sections, are connected to each other through a reactance, and the driving power of each group of alternators equals its load (plus losses), then no cur- rent and no power flows over the dividing reactor, and both alternators are in phase. If now, with the same load, the driving power on one alternator is increased, on the other decreased, or with the same driving power, the load on the one is increased, on the other decreased, but the terminal voltage kept the same, then current and power flows over the dividing reactor, resulting in a phase displacement between the two alternators (or station sections). This phase displacement increases with the increase of power transfer. This gives a case where current and power is carried over a reactance from one circuit to another one, without any voltage drop. It is this, on which the use of limiting busbar reactors is based. The power transfer reaches a maximum at 90 degrees phase displacement; this gives the limits of synchronizing power, and any further increase of power transfer causes the two alter- nators to drop out of synchronism with each other. Too large reactance between the alternators reduces the synchroniz- ing power by limiting the synchronizing current; too small reactance may again reduce the maximum synchronizing power by lowering the EMF by the large voltage drop due to the large interchange currents. With a capacity of about 60,000 KW per station section and machines of the general characteristics of those involved (100% synchronous reactance, \2^/^% true reactance, in average) , maximum synchronizing power would require a reactance between each station section and the rest of the system of a little less than one ohm, so that the proposed arrangement of ring connection of the stations through power limiting reactors of 1.75 ohms should give about the maximum synchronizing power. Mathematical and numerical data pertaining to the preceding are given in the Appendix. [[END_PDF_PAGE:26]] [[PDF_PAGE:27]]