A dual augmented Lagrangian approach for optimal power flow

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Abstract
The authors present a method for solving the active and reactive optimal power-flow problem. The method is based on nonlinear programming techniques combining dual and penalty approaches. The classical Langrangian is defined for both equality and inequality constraints. The function is then augmented by penalty terms for all constraints and it is minimized by Newton's method. An intrinsic multiplier updating rule eliminates the necessity of increasing the penalty factors to very large values. The method unifies the treatment equality and inequality constraints. It also avoids the critical aspects present in the determination of the binding constraints set.

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