Given this question for PMDC motor1) Write the equations of motion for the DC motor in time domain & S-domain.2) For Full-load and Half-load states, obtain the transfer functions for a.) Torque - Speed b.) Torque - Motor current and this is provided motor specifications nominal valuesnominal power, W11Motor voltage12Nominal speed, rpm3200Nominal current, A1.3nominal torque, N.cm3.2 No-load valuesSpeed, rpm4300Current, A0.1 Stall valuesTorque, N.cm13.5Current, A5.2 Performance valuesMax output power, W15Max constant torque, N.cm1.9 Motor parametersWeight, gr235Rotor inertia, gr,cm233Terminal resistance, ohm2.3Inductane, mH2.3Mech time constant, ms12Elec time constant, ms1Torque constant, N.cm/A2.7Speed constant rpm/N.cm310Thanks

It is asked to determine the equations of motion for the DC motor in time domain and s-domain.

Answered: Given this question for PMDC motor 1)…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

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Given this question for PMDC motor

1) Write the equations of motion for the DC motor in time domain & S-domain.

2) For Full-load and Half-load states, obtain the transfer functions for
a.) Torque - Speed
b.) Torque - Motor current

and this is provided motor specifications

nominal values
nominal power, W	11
Motor voltage	12
Nominal speed, rpm	3200
Nominal current, A	1.3
nominal torque, N.cm	3.2

No-load values
Speed, rpm	4300
Current, A	0.1

Stall values
Torque, N.cm	13.5
Current, A	5.2

Performance values
Max output power, W	15
Max constant torque, N.cm	1.9

Motor parameters
Weight, gr	235
Rotor inertia, gr,cm2	33
Terminal resistance, ohm	2.3
Inductane, mH	2.3
Mech time constant, ms	12
Elec time constant, ms	1
Torque constant, N.cm/A	2.7
Speed constant rpm/N.cm	310

Thanks

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