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Continuous Newton's Method for Power Flow Analysis

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1 Author(s)
Federico Milano ; Dept. of Electr. Eng., Univ. of Castilla-La Mancha, Ciudad Real

This paper describes the application of the continuous Newton's method to the power flow problem. This method basically consists in formulating the power flow problem as a set of autonomous ordinary differential equations. Based on this formal analogy, we propose an entire family of numerically efficient algorithms for solving ill-conditioned or badly-initialized power flow cases. The paper also shows that the classical Newton-Raphson's method and most robust power flow techniques proposed in the literature are particular cases of the proposed formulation. An example based on a 1254-bus model of the UCTE system is presented and discussed.

Published in:

IEEE Transactions on Power Systems  (Volume:24 ,  Issue: 1 )