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Impasse Surface of Differential-Algebraic Power System Models An Interpretation Based on Admittance Matrices

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Document pages: 8 pages

Abstract: The impasse surface is an important concept in the differential-algebraicequation (DAE) model of power systems, which is associated with short-termvoltage collapse. This paper establishes a necessary condition for a systemtrajectory hitting the impasse surface. The condition is in terms of admittancematrices regarding the power network, generators and loads, which specifies thepattern of interaction between those system components that can induce voltagecollapse. It applies to generic DAE models featuring high-order synchronousgenerators, static load components, induction motors and a lossy power network.We also identify a class of static load parameters that prevents power systemsfrom hitting the impasse surface; this proves a conjecture made by Hiskens thathas been unsolved for decades. Moreover, the obtained results lead to an earlyindicator of voltage collapse and a novel viewpoint that inductive compensationhas a positive effect on preventing short-term voltage collapse, which areverified via numerical simulations.

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