For Routh Stability Criterion, Answer the following questions:  1. If any of the coefficients is zero or negative in the presence of at least one positive coefficient.  I. There is a pair of imaginary roots. II. There is one sign change. III. There are roots of equal magnitude lying  radially opposite in the S-Plane.  IV. There is a root or roots that are imaginary or that  have positive real parts. 2. If all coefficients in any derived row are zero.  I. There is a pair of imaginary roots.  II. There is one sign change. III. There are roots of equal magnitude lying radially  opposite in the S-Plane. IV. There is a root or roots that are imaginary or that  have positive real parts.

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 6.59P
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For Routh Stability Criterion, Answer the following questions: 

1. If any of the coefficients is zero or negative in the presence of at least one positive coefficient. 

I. There is a pair of imaginary roots.

II. There is one sign change.

III. There are roots of equal magnitude lying 
radially opposite in the S-Plane. 

IV. There is a root or roots that are imaginary or that 
have positive real parts.

2. If all coefficients in any derived row are zero. 

I. There is a pair of imaginary roots. 

II. There is one sign change.

III. There are roots of equal magnitude lying radially 
opposite in the S-Plane.

IV. There is a root or roots that are imaginary or that 
have positive real parts.

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