A Sufficient Condition for Power Flow Insolvability With Applications to Voltage Stability Margins

By Daniel D. Molzahn, B. Lesieutre, Christopher L. DeMarco. IEEE Transactions on Power Systems, 2012

73 citations recorded by the source corpus.

For the nonlinear power flow problem specified with standard PQ, PV, and slack bus equality constraints, we present a sufficient condition under which the specified set of nonlinear algebraic equations has no solution. This sufficient condition is constructed in a framework of an associated feasible, convex optimization problem. The objective employed in this optimization problem yields a measure of distance (in a parameter set) to the power flow solution boundary. In practical terms, this distance is closely related to quantities that previous authors have proposed as voltage stability margins. A typical margin is expressed in terms of the parameters of system loading (injected powers); here we additionally introduce a new margin in terms of the parameters of regulated bus voltages.

Subfields: Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/81a9d15f63c61baef845c7bb324a202dd5d0473a

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Citations in the corpus

• On the Existence and Linear Approximation of the Power Flow Solution in Power Distribution Networks (2014, methodology): “In [24] the implicit function theorem is used in order to advocate the existence of a power flow solution, without providing an approximate expression for that.”