A system of a DC motor driving a load is shown in Figure Q.2a(i), where ea(t), ia(t), R₁ and La are the input voltage, armature current, resistance and inductance of the electrical circuit that are incorporated inside the motor, while (t) and (t) are the angular displacement of motor and system's load, respectively. The rotational voltage (back electromotive force), e (t) is proportional to a rotor speed, while the output torque Tm(t) developed by the motor is proportional to the armature current, ia(t). The system's parameters are listed in Table Q.2a and the motor torque-speed curve is given in Figure Q.2a(ii). Establish the relationship between the input OL(S) voltage, e(t) and the output angular displacement, 0₁(t), Ea(s)* La Ra ww -oooo² + ed(t) ia(t) еь(t) М M dt + NL,0L (t) H relle D Lf Nmm (t) Vf Figure Q.2a(i) JL BL 000 KL

A system of a DC motor driving a load is shown in Figure Q.2a(i), where ea(t), ia(t), R₁ and La are the input voltage, armature current, resistance and inductance of the electrical circuit that are incorporated inside the motor, while (t) and (t) are the angular displacement of motor and system's load, respectively. The rotational voltage (back electromotive force), e (t) is proportional to a rotor speed, while the output torque Tm(t) developed by the motor is proportional to the armature current, ia(t). The system's parameters are listed in Table Q.2a and the motor torque-speed curve is given in Figure Q.2a(ii). Establish the relationship between the input OL(S) voltage, e(t) and the output angular displacement, 0₁(t), Ea(s)* La Ra ww -oooo² + ed(t) ia(t) еь(t) М M dt + NL,0L (t) H relle D Lf Nmm (t) Vf Figure Q.2a(i) JL BL 000 KL

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter12: Power System Controls

Section: Chapter Questions

Problem 12.4P

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