Both of Lemp’s basic load control approaches, namely the 1914 speed control with a load regulator rheostat, and the 1924 inherent characteristic type, in which by differential decompounding and other means the main generator curves were made to approximate the hyperbolic ideal, have been widely used in practice. In some cases, elements of both have been used together. The original speed control system had a single load setpoint, appropriate for the engines of the time with their relatively flat torque curves. Later developments allowed multiple load setpoints, either proportional to engine speed or independent of it.
The inherent characteristic type was mostly used on lower-powered locomotives, say under 1000 hp, although in the 1950s both GE and Alsthom used it on some of their more powerful designs. With this type, the key control parameter was engine speed, which is perhaps wherefrom came the concept that each throttle notch represented a specific engine speed, with a monotonic relationship. Some of the systems derived from the 1914 patent, such as that from Brown Boveri, assigned more than one load setpoint to each engine speed, thus there might be for example four engine speeds but eight throttle notches. Where each engine speed had its own load control setpoint that was proportional to speed, then a single throttle operator could be used to set both, engine speed directly and engine load via a floating lever. So again the one engine speed for each throttle notch was a logical arrangement.
The choice of eight notches might not have been derived as a standalone answer to the question - how many steps are reasonably needed to have fine enough control - but rather because in the first instance that number was seen as the highest that could be implemented without undue complexity, and so was accepted as a reasonable trade-off point. The eight steps could be provided by a three-unit binary operator, which in turn required three trainwires for speed control alone. Once established by early use, the eight-notch control essentially became a fixture, regardless of the underlying details.
On the classification of actual excitation control systems according to Lemp type, one could say that EMD’s 1950s approach was essentially 1914, but with a hint of 1924 in that the main generator self-field winding provided some measure of decompounding.
GE’s Amplidyne system is more difficult to characterize. It constructed highly drooping basic main generator curves, so in that sense there was a 1924 element. But it also used load regulation (1914) to provide the necessary hyperbolic portions of these curves. It appears that just six load control setpoints were used, though, notches 1 through 3 sharing the same setpoint.
GE’s three-field system, used on the Cooper-Bessemer engined export Universals of the 1950s (except the UD18B, which had the Static system), and as far as I know on the Alco DL541/543 export models, seems to have been basically a 1914 system with a significant element of 1924 through differential decompounding of the exciter. The small export Universals with Caterpillar engines had a pure 1924 system.
On the other hand, the Alco export models of the 1950s and 1960s that were fitted with the 6-251 engine had what was basically an inherent characteristic system assisted by a load regulator rheostat, so might have been characterized as majority 1924 with some 1914. Possibly the same system had been used on earlier 6-251-engined locomotives, such as the GE White Pass & Yukon shovel-noses and the Alco S-5 and S-5 6 switchers. Earlier 539-engined Alco switchers I think had a 1924 system.
An earlier GE approach, used for example on the New Haven Alco-GE DL109, combined the differential exciter (Lemp 1924) with a centrifugal speed switch. The latter moved to reduce excitation whenever the engine rotational speed reduced below its maximum due to the load, so in principle conformed to the 1914 system. I suppose that it was a rudimentary form of chopper, effectively doing pulse width modulation of the supply to the exciter battery field.
The advent of electronics, such as the GE Type E system, allowed the construction of very close approximations to hyperbolic constant power main generator curves without the help of the customary load regulator. In such cases the latter served simply to trim the curve, and to protect the engine from overloading in the event of a malfunction. An interesting early application was in the UP GTEL8500s, in which a series of constant power hyperbolic main generator curves were constructed electronically. Doing this by progressive load regulation as in the diesel case was not possible, although there was supervening exhaust temperature load regulation/limiting. The earlier GTEL4500s had a set of “natural” (convex with respect to the origin) main generator curves, with only the supervening exhaust temperature load limiting providing a hyperbolic element.
I am not aware that relative power outputs, or relative power output ranges have been formally assigned to the notches in the AAR system. Rather, whatever convention might exist, e.g. that notch 5 is around half-power, has more likely arisen from actual practice, with subsequent desire, in the interests of compatibility, not to depart too much therefrom.
Anyway, I think it is fair to say that the eight-notch control was a product of what was reasonably possible back in the early days of the electromechanical era.
One puzzle though is the standard AAR solenoid pattern for eight-step speed control, which is as follows:
Shutdown D
1st speed no solenoids active
2nd speed A
3rd speed C
4th speed A, C
5th speed B, C, D
6th speed A, B, C, D
7th speed B, C
8th speed A, B, C
The respective relative speed increments are:
A = 1
B = 4
C = 2
D = negative 2 and shutdown
Thus it may be seen that at the 5th and 6th speeds, the B and D solenoids cancel each other out. 5th speed could be obtained by B alone, and 6th speed by the A and B combination. And in fact that pattern was used in some non-US applications of the Woodward PG governor.
The inclusion of the D solenoid in the array for shutdown purposes was I think driven by the use of governors with rod shutdown, where the speed control rod was moved in the direction opposite to that for speed increase in order to effect shutdown. Thus it could also be used to provide a speed decrement in association with the other solenoids, and when it was set not to exactly offset the increment provided by one of the latter. For example, to obtain 15 speeds on the Woodward PG governor, the relative settings would be: A = 2, B = 8, C = 4, and D = negative 1. Apparently, the settings for each solenoid were variable over a wide range.
So why were the C and D solenoids, cancelling each other out, used together for the 5th and 6th speeds in the AAR system? As the answer is nowhere to be found, I imagine that that whatever the reason was, it goes back a very long way. Perhaps there was an early use of an electropneumatic speed setter where the eight speeds were nor evenly spaced, and C and D differed in magnitude? And when eight evenly-spaced speeds were to be used, it just happened to work out that C and D had the same magnitude.
In that regard, I understand that Lima-Hamilton did use a different solenoid pattern, namely:
Shutdown D
1st speed no solenoids active
2nd speed A
3rd speed C
4th speed A, C
5th speed B
6th speed A, B
7th speed A, B, C, D
8th speed A, B, C
I do not know the associated speed increments associated with that solenoid pattern, nor the respective engine speeds. But assuming that the 7th speed was somewhere between the 6th and 8th speeds, then it is clear that the magnitude of D must have been less than the magnitude of C, as well as opposite in sign. In this case compatibility was maintained by using a sequence converter between the master controller, which generated an AAR-type output, and the governor.
Cheers,