A high-pressure supply and a hydraulic motor are used as a prime mover to generate electricity through a DC generator. The system diagram is sketched in Figure P19.39. Assume that an ideal pressure source PS is available and that a hydraulic motor is connected to it through a linear “fluid resistor,” used to regulate the average flow rate. An accumulator is inserted just upstream of the hydraulic motor to smooth pressure pulsations. The combined inertia of the hydraulic motor and of the DC generator is represented by the parameter J. The DC generator is of the permanent-magnet type and has armature constants ka = kT . The permanent magnet flux is ?. Assume a resistive load for the generator RL .
a. Derive the system differential equations.
b. Compute the transfer function of the system from supply pressure PS to load voltage VL .
Analysis:
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