Computational Techniques for Voltage Stability Assessment by Venkataramana Ajjarapu

By Venkataramana Ajjarapu

This e-book presents finished information on continuation energy move, and studies strategies in bifurcation idea and continuation tools for assessing energy procedure voltage balance. the writer proposes a uniform framework that gives computational techniques for either momentary and long term voltage balance phenomena. Readers can entry the author’s web-based simulation instruments, that are in accordance with the recommendation during this publication, to simulate assessments of platforms as much as the dimensions of 2 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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As, matrix {fis, Us) contains Us eigenvalues with negative real parts. The nonhnear functions / and g should be continuously differentiable at least twice and vanish together with their first derivatives at the equilibrium point. Xc correspond to center manifold and are sometimes called active variables. Xs correspond to stable manifold and are called passive variables. Due to nonlinear couplings the influence of x^ in the equation for Xc cannot be ignored. Hence the correct way of analysis is to compute the center manifold.

An incremental approach to the solution of snapping and buckling problems. Int. J. Solids Struct. , Chiang. H. , Toward a theory of voltage collapse in electric power systems. Systems and control letters, Vol. , Observations on the geometry of saddle node bifurcations and voltage collapse in electric power systems. IEEE Trans, on CAS, part I, Vol. , Chaos (Singapore: World Scientific) 1990 Moon, F. C , Chaotic Vibration (New York: Wiley) 1987 Thomson, J. M. , Stewart, H. P. , Study of Hopf bifurcations in a simple power system model.

However if we choose very small step length the number of steps needed may be vary large. On the other hand large step lengths may lead to convergence problems. [25] proposed a simple approach for step length selection. =i^j)oldNoptl^j where Nopt= optimal number of corrector iterations (this number is 6 for an error tolerance of lO""^) and A^ = Number of iterations needed to approximate the previous continuation step. 19 can be calculated as: For most of the cases X is the ideal parameter to choose for tracing.

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