How do we deduce the stability condition of a system using its Routh-Hurwitz table? By checking the last row of the table. If there is at least one sign change in the first row of the table, then the system is unstable. The number of poles on the right-hand side of the complex plane is equal to the total number of the system's poles minus the number of sign changes. O By checking the last row of the table. If there is at least one sign change in the last row of the table, then the system is unstable. The number of poles on the left-hand side of the complex plane is equal to the total number of the system's poles minus the number of sign changes. O By checking the first column of the table. If there is at least one sign change in the first column of the table, then the system is unstable. The number of poles on the right-hand side of the complex plane is equal to the total number of the system's poles minus the number of sign changes. O By checking the first column of the table. If there is at least one sign change in the first column of the table, then the system is unstable. The number of poles on the left-hand side of the complex plane is equal to the total number of the system's poles minus the number of the sign changes.

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 6.22P
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How do we deduce the stability condition of a system using its Routh-Hurwitz table?
By checking the last row of the table. If there is at least one sign change in the first row of the table, then the
system is unstable. The number of poles on the right-hand side of the complex plane is equal to the total
number of the system's poles minus the number of sign changes.
O By checking the last row of the table. If there is at least one sign change in the last row of the table, then the
system is unstable. The number of poles on the left-hand side of the complex plane is equal to the total
number of the system's poles minus the number of sign changes.
O By checking the first column of the table. If there is at least one sign change in the first column of the table,
then the system is unstable. The number of poles on the right-hand side of the complex plane is equal to the
total number of the system's poles minus the number of sign changes.
O By checking the first column of the table. If there is at least one sign change in the first column of the table,
then the system is unstable. The number of poles on the left-hand side of the complex plane is equal to the
total number of the system's poles minus the number of the sign changes.
Transcribed Image Text:How do we deduce the stability condition of a system using its Routh-Hurwitz table? By checking the last row of the table. If there is at least one sign change in the first row of the table, then the system is unstable. The number of poles on the right-hand side of the complex plane is equal to the total number of the system's poles minus the number of sign changes. O By checking the last row of the table. If there is at least one sign change in the last row of the table, then the system is unstable. The number of poles on the left-hand side of the complex plane is equal to the total number of the system's poles minus the number of sign changes. O By checking the first column of the table. If there is at least one sign change in the first column of the table, then the system is unstable. The number of poles on the right-hand side of the complex plane is equal to the total number of the system's poles minus the number of sign changes. O By checking the first column of the table. If there is at least one sign change in the first column of the table, then the system is unstable. The number of poles on the left-hand side of the complex plane is equal to the total number of the system's poles minus the number of the sign changes.
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