1. Continuous Newton's Method for Power Flow Analysis.
- Author
-
Milano, Federico
- Subjects
ENGINEERING ,ELECTRIC power ,DIFFERENTIAL equations ,BESSEL functions ,NEWTON-Raphson method ,ITERATIVE methods (Mathematics) ,MATHEMATICS ,ALGORITHMS ,RUNGE-Kutta formulas - Abstract
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. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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