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Optimal power flow by a nonlinear complementarity method

delete2000-01-01
delete59
PRE
AI
G
G.L. Torres *
V
V.H. Quintana
DOI:10.1109/59.871729delete
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Abstract

Abstract

En 中文
A nonlinear complementarity method for solving nonlinear optimal power flow problems is presented. This method stems from recently proposed reformulation of complementarity problems as nonlinear systems of equations which age, in turn, solved by a Newton-type method, To reformulate optimal power flow problems as nonlinear systems of equations we employ a function psi(mu): R-2 --> R that satisfies the property psi(mu)(a, b) = 0 double left right arrow a > 0, b > 0 and ab = mu, for any mu > 0, Then, unlike interior-point methods, the nerv method handles the complementarity conditions for optimality, S-i greater than or equal to 0, pi(i) greater than or equal to 0 and S(i)pi(i) = 0, without requiring that S-i > 0 and pi(i) > 0 be satisfied at every iterate. Numerical results illustrate the viability of the proposed method as applied to several power networks. A comparison with two interior-point algorithms is discussed.
Keywords:
interior-point method
nonlinear complementarity method
nonlinear programming
optimal power flow

Journal

IEEE Transactions on Power Systems cover
IEEE Transactions on Power Systems
IF:
7.2
Papers:
1.1W
Citations:
5.0W

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