Answered: A PM DC motor with torque constant kPM…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Question

A PM DC motor with torque constant kPM is used
to power a hydraulic pump; the pump is a positive
displacement type and generates a flow proportional to
the pump velocity: q_p = k_pω. The fluid travels through
a conduit of negligible resistance; an accumulator is
included to smooth out the pulsations of the pump.
A hydraulic load (modeled by a fluid resistance R) is
connected between the pipe and a reservoir (assumed
at zero pressure). Sketch the motor-pump circuit.
Derive the dynamic equations for the system, and
determine the transfer function between motor voltage
and the pressure across the load.

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