A hydrostatic transmission (HST) exists any time a hydraulic pump is connected to and dedicated to one or more hydraulic motors. Versatility is achieved by making either or both the pump and motor(s) variable displacement. The result is a continuously variable transmission (CVT).

An HST is preferred over shifted gear transmission in many cases because of the stepless way in which the HST’s speed ratio can be changed. Many such CVTs are manually changed, while others change automatically. A popular automatic configuration uses a manually adjusted pump displacement with a pressure compensated motor. This configuration results in the so-called “constant output power” transmission. These transmissions produce a speed-torque characteristic that is hyperbolic, and they are used primarily to prevent lugging of the prime mover. There are others, but the aim here is to concentrate on the implementation of the models.

Establishing a model

Figure 1 shows the first step in connecting Type 2 pump and motor models when configuring a hydrostatic transmission. Input torque to drive and power the pump is from some unspecified source at the left in Figure 1. Similarly, the motor output shaft is supplying power to some unspecified rotational load to the right.

The A and B Port nomenclature of the two machines is not standard in either ISO or US standards. Rather, it’s been copied from the standardized practice used with valves. In fact, I’ll sometimes refer to them as the work ports of the pump and motor, as is common with directional valves.Modeling a Type 2 HST

The A port of the pump connects to the A port of the motor, the CD ports of pump and motor are connected together, as are the B ports of the pump and motor. In this way, the output of the pump feeds and powers the motor, and the spent fluid from the B port of the motor supplies the inlet (B port) of the pump. Meanwhile, internal leakage that makes its way into the pump and motor cases is combined to also feed the pump inlet through internal leakage passages.

Real-world conditions

In a perfect world, this configuration might be practical. But it is not, for at least two reasons. First, the internal leakage that empties into the respective cases can only escape by going “backwards,” through the internal leakage paths that connect between the cases and the low pressure work ports. With no means for the case to relieve itself, the pressure in the case will be about 50% or more of the work port pressure at the moment. It could be hundreds or thousands of psi. This necessitates a high strength case and high pressure shaft seals in both the pump and motor. High pressure shaft seal technology can accommodate such pressures — at a cost, of course. However, building the outside shell of variable displacement pumps and motors to withstand such high pressures can be prohibitively expensive.

Second, the inevitable loss of fluid and temperature changes will affect the at-rest pressures of the transmission. Those pressures are uncontrolled, and the likelihood that they will become excessively high in the closed and sealed system are low. However, they certainly will become excessively low, which will result in cavitation and its attendant damage to both machines. It must be prevented by adding circuit elements that will provide the necessary pressure control.

Real-world enhancement

Figure 2 also shows the hydrostatic transmission using the Type 2 analytical models for the pump and motor, but with the enhancements that make the machine practical. The individual configurations can be seen along with their respective internal leakage paths. Leakages occur from port to port as well as from port to case drain. The supercharge pump (often called simply the charge pump) connects to both work ports of the pump-motor common connections through individual check valves.Adding interconnections

Supercharge pressure is normally low, as hydraulic circuits go, being nominally between about 150 psi and 300 psi. As such, the pressure is only about 1/10 or 1/20 of the maximum working pressure of the transmission. The supercharge pump and check valves are intended to prevent the lower pressure side of the work ports from dropping too low. If the pressure drops below atmospheric, the destructive effects of cavitation will put the pump and motor reliability in jeopardy.

Real-world application

As the transmission does its job, the working pressures are rapidly shifting between high and low values. Consider that the transmission is being used for the propulsion system on an all-terrain vehicle as it goes up and down hills and obstructions. In climbing the hill, the A port pressure will be high, but as the apex of the hill is crossed, the vehicle starts downhill, and the pump and motor swap roles.

The energy of the descending vehicle is forced into the motor, causing it to become a pump, but its direction of rotation does not change. To absorb the energy, the pressure switches quickly and the B port pressure becomes high while the A port pressure drops to the supercharge level.

This pressure reversal causes the pump to switch to a motoring mode, so it tries to over-speed the prime mover. The result is a braking action for the vehicle. If the braking action is insufficient, and the prime mover is a diesel engine equipped with a timing change mechanism to fire the fuel injectors before top dead center, a power braking effect will slow the descending vehicle. If the prime mover is an electric motor, braking action can be achieved by over-speeding, resulting in energy flowing back into the battery. In other configurations, braking energy can be stored hydraulically in accumulators that are eventually discharged into the transmission motor to assist propulsion.