There are two physical degrees of freedom, x1(t) and x2(t) and they satisfy the coupled linear differential equations: V3 X1+ -X2 V3 7 + X2 4 where a is a positive constant. Use a matrix method to find the normal modes and the normal frequencies of this system.

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
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
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There are two physical degrees of freedom, x1(t) and x2(t) and they satisfy the
coupled linear differential equations:
V3
서 +
4
V3
7
a?
X1 + -x2
4
where a is a positive constant.
Use a matrix method to find the normal modes and the normal frequencies of this
system.
Transcribed Image Text:There are two physical degrees of freedom, x1(t) and x2(t) and they satisfy the coupled linear differential equations: V3 서 + 4 V3 7 a? X1 + -x2 4 where a is a positive constant. Use a matrix method to find the normal modes and the normal frequencies of this system.
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