Continuous Newton's Method for Power Flow Analysis

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...

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Bibliographic Details
Published in:IEEE transactions on power systems Vol. 24; no. 1; pp. 50 - 57
Main Author: Milano, F.
Format: Journal Article
Language:English
Published: New York IEEE 01.02.2009
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Algorithms
Analogies
Autonomous
Bifurcation
Continuous Newton's method
Differential equations
ill-conditioned power flow
Load flow
Load flow analysis
Mathematical models
Newton method
Newton-Raphson's method
optimal multiplier
Power flow
Power system analysis computing
Power system modeling
robust power flow
Robustness
Runge-Kutta formulas
Voltage
ISSN:0885-8950, 1558-0679
Online Access:Get full text
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Summary: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.
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ISSN:0885-8950
1558-0679
DOI:10.1109/TPWRS.2008.2004820