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Computation of singular and singularity induced bifurcation points of differential-algebraic power system model
Journal article

Computation of singular and singularity induced bifurcation points of differential-algebraic power system model

S Ayasun, C.O Nwankpa and H.G Kwatny
IEEE transactions on circuits and systems. I, Regular papers, v 51(8), pp 1525-1538
Aug 2004

Abstract

Power system dynamics Differential algebraic equations Voltage Bifurcation Power system stability Predictive models Iterative methods Power system modeling Power generation Organizing
In this paper, we present an efficient algorithm to compute singular points and singularity-induced bifurcation points of differential-algebraic equations for a multimachine power-system model. Power systems are often modeled as a set of differential-algebraic equations (DAE) whose algebraic part brings singularity issues into dynamic stability assessment of power systems. Roughly speaking, the singular points are points that satisfy the algebraic equations, but at which the vector field is not defined. In terms of power-system dynamics, around singular points, the generator angles (the natural states variables) are not defined as a graph of the load bus variables (the algebraic variables). Thus, the causal requirement of the DAE model breaks down and it cannot predict system behavior. Singular points constitute important organizing elements of power-system DAE models. This paper proposes an iterative method to compute singular points at any given parameter value. With a lemma presented in this paper, we are also able to locate singularity induced bifurcation points upon identifying the singular points. The proposed method is implemented into voltage stability toolbox and simulations results are presented for a 5-bus and IEEE 118-bus systems.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Engineering, Electrical & Electronic
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