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A Dynamized Power Flow Method based on Differential Transformation

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Document pages: 8 pages

Abstract: This paper proposes a novel method for solving and tracing power flowsolutions with changes of a loading parameter. Different from the conventionalcontinuation power flow method, which repeatedly solves static AC power flowequations, the proposed method extends the power flow model into a fictitiousdynamic system by adding a differential equation on the loading parameter. As aresult, the original solution curve tracing problem is converted to solving thetime domain trajectories of the reformulated dynamic system. A non-iterativealgorithm based on differential transformation is proposed to analyticallysolve the aforementioned dynamized model in form of power series of time. Thispaper proves that the nonlinear power flow equations in the time domain areconverted to formally linear equations in the domain of the power series orderafter the differential transformation, thus avoiding numerical iterations. Casestudies on several test systems including a 2383-bus system show the merits ofthe proposed method.

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