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• W2103228673 abstract "We use powerful analytical tools and modern techniques from algebraic geometry to infer the number of (equilibrium) steady state solutions of models of power systems. The theorems developed also infer the upper bound on the number of solutions of the full-fledged (equilibrium) steady-state equations for various levels of detailed models of power systems. Sufficient conditions are provided which determine the precise number of complex solutions to the load flow. The sufficient conditions are cast in terms of properties of the admittance matrix of the power grid. Consequently, these sufficient conditions are placed on the topology (configuration) of the given power network. When the sufficient conditions are not satisfied, the determined precise number becomes an upper bound on the number of solutions.< <ETX xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>></ETX>" @default.
• W2103228673 created "2016-06-24" @default.
• W2103228673 creator A5004065267 @default.
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• W2103228673 date "1994-01-01" @default.
• W2103228673 modified "2023-09-25" @default.
• W2103228673 title "The number of (equilibrium) steady-state solutions of models of power systems" @default.
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• W2103228673 doi "https://doi.org/10.1109/81.317957" @default.
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