The complex Hurwitz test for the analysis of spontaneous self-excitation in induction generators
M Bodson, O Kiselychnyk - IEEE Transactions on Automatic …, 2012 - ieeexplore.ieee.org
Spontaneous self-excitation in induction generators is a fascinating phenomenon triggered
by the instability of a zero equilibrium state. Prediction of this condition for various values of
free parameters requires many computations of the eigenvalues of a 6× 6 matrix over a large
space. The technical note uses a novel approach to stability using a transformation of the
state-space system and an extension of the Hurwitz test to polynomials with complex
coefficients. The analytic formulas that are obtained give the values of the minimum load …
by the instability of a zero equilibrium state. Prediction of this condition for various values of
free parameters requires many computations of the eigenvalues of a 6× 6 matrix over a large
space. The technical note uses a novel approach to stability using a transformation of the
state-space system and an extension of the Hurwitz test to polynomials with complex
coefficients. The analytic formulas that are obtained give the values of the minimum load …
[PDF][PDF] The complex Hurwitz test for the analysis of spontaneous self-excitation in induction generators
M Bodson, O Kiselychnyk - my.eng.utah.edu
Spontaneous self-excitation in induction generators is a fascinating phenomenon triggered
by the instability of a zero equilibrium state. Prediction of this condition for various values of
free parameters requires many computations of the eigenvalues of a 6 χ 6 matrix over a
large space. The paper uses a novel approach to stability using a transformation of the state-
space system and an extension of the Hurwitz test to polynomials with complex coefficients.
The analytic formulas that are obtained give the values of the minimum load resistance, the …
by the instability of a zero equilibrium state. Prediction of this condition for various values of
free parameters requires many computations of the eigenvalues of a 6 χ 6 matrix over a
large space. The paper uses a novel approach to stability using a transformation of the state-
space system and an extension of the Hurwitz test to polynomials with complex coefficients.
The analytic formulas that are obtained give the values of the minimum load resistance, the …
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