The characteristic equation of a system is sª + 5s³ + 10s² + 10s +80 = 0. Complete the R-H table of the system. Put a zero on blank space. Do not leave any space blank. Routh-Hurwitz Table: 84/ حدى 82/ S7 so Which of the following statements is TRUE?

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 6.39P
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The characteristic equation of a system is s +5s³ + 10s² + 10s + 80 = 0. Complete the R-H table of the
system. Put a zero on blank space. Do not leave any space blank.
Routh-Hurwitz Table:
83,
s²
S7
Which of the following statements is TRUE?
O The system is stable since there are no sign changes along the first column.
O The system is marginally stable since one element along first column is zero.
O The system is unstable because there is a change in sign along the first column, from row 2 (from the top) to row 3.
O The system is unstable because there is a change in sign along the first column, from row 3 (from the top) to row 4.
O The system is unstable because there are changes in sign along the first column, from row 2 (from the top) to row 3, and from row 3 to row 4
O The system is unstable because there are changes in sign along the first column, from row 3 (from the top) to row 4, and from row 4 to row 5.
Transcribed Image Text:The characteristic equation of a system is s +5s³ + 10s² + 10s + 80 = 0. Complete the R-H table of the system. Put a zero on blank space. Do not leave any space blank. Routh-Hurwitz Table: 83, s² S7 Which of the following statements is TRUE? O The system is stable since there are no sign changes along the first column. O The system is marginally stable since one element along first column is zero. O The system is unstable because there is a change in sign along the first column, from row 2 (from the top) to row 3. O The system is unstable because there is a change in sign along the first column, from row 3 (from the top) to row 4. O The system is unstable because there are changes in sign along the first column, from row 2 (from the top) to row 3, and from row 3 to row 4 O The system is unstable because there are changes in sign along the first column, from row 3 (from the top) to row 4, and from row 4 to row 5.
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