Computational Techniques for Voltage Stability Assessment by Venkataramana Ajjarapu

By Venkataramana Ajjarapu

This publication offers complete information on continuation energy circulation, and experiences strategies in bifurcation thought and continuation equipment for assessing strength method voltage balance. the writer proposes a uniform framework that offers computational methods for either momentary and long term voltage balance phenomena. Readers can entry the author’s web-based simulation instruments, that are in response to the recommendation during this booklet, to simulate assessments of platforms as much as the dimensions of two hundred busses.

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Extra info for Computational Techniques for Voltage Stability Assessment and Control (Power Electronics and Power Systems)

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Here, x denotes an /^-dimensional vector. Continuation methods usually consist of the following [25]: predictor, parameterization strategy, corrector and step length control. 3 Detection of Bifurcation Points the homotopy method. 15, this corresponds to the assumption that g has a known zero point. ^j. With a predictor-corrector method, the stepy to step 7+1 is split into two parts, with (Xj^^, Xj) produced in between by the prediction. 12. The distance between two consecutive solutions is called the step size.

Anal. , Reddien, G. , Characterization and computation of generalized turning points. SIAM J. Numer. Anal. , Numerical computation of periodic orbits that bifurcate from the stationary solution of ordinary differential equation. Appl. Math. Comput. , Identification of steady state voltage stability in power systems. Int. J. Energy Syst. 11: 43-46 1991 [17; [18 [19 [20 [21 [22 [23 [24; [25 [26 [27; [28 [29: [30 [31 [32; [33 [34; References 47 [35] Alvarado, F. , Jung, T. , Direct detection of voltage collapse conditions.

It belongs to stable node. Case (ii): Tr(J) > 0 , det(J) > 0 , A > 0: Xi and X2 are both real and positive. 4 increase monotonically with time. The perturbations grow exponentially. It belongs to unstable node. Case (iii): Tr(J) < 0 , det(J) > 0 , A < 0 : Xi and X2 are complex and the real part of X\ and X2 is negative. 4a) The decaying terms ensure a return to the original stationary state because of the cosine functions. This is a damped oscillatory motion. It belongs to stable focus. Case (iv): Tr{J) > 0 , det(J) > 0 , A < 0 : here X\ and X2 are complex and the real part of X\ and X2 is positive.

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