(c) A rotating load is directly coupled to a motor with moment of inertia Jo, and the load then connecting in series with nth number of another rotating loads. The series loads have moment of inertias J1, J2, ... , Jn, respectively and each of them are joint through gear system with gear teeth ratios of a1, a2, .... , an. If kinetic energy of moving part is given by (i) show that the total moment of inertia of the drive system referred to the motor shaft can be expressed by J =J, +a,°J, +a;³J; + .a,' J, ....

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
Chapter11: Transient Stability
Section: Chapter Questions
Problem 11.3P
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(c) A rotating load is directly coupled to a motor with moment of inertia Jo, and the
load then connecting in series with nth number of another rotating loads. The series
loads have moment of inertias J1, J2, ... , Jn, respectively and each of them are
joint through gear system with gear teeth ratios of a1, a2, .... , an. If kinetic energy
of moving part is given by
(i) show that the total moment of inertia of the drive system referred to the
motor shaft can be expressed by
J =J, +a,°J¸ +a‚*J, + ....a,´ J,
Transcribed Image Text:(c) A rotating load is directly coupled to a motor with moment of inertia Jo, and the load then connecting in series with nth number of another rotating loads. The series loads have moment of inertias J1, J2, ... , Jn, respectively and each of them are joint through gear system with gear teeth ratios of a1, a2, .... , an. If kinetic energy of moving part is given by (i) show that the total moment of inertia of the drive system referred to the motor shaft can be expressed by J =J, +a,°J¸ +a‚*J, + ....a,´ J,
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