1984
DOI: 10.1109/tpas.1984.318284
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Optimal Power Flow By Newton Approach

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Cited by 820 publications
(169 citation statements)
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“…Over the last three decades, many successful OPF techniques have been developed such as, the generalized reduced gradient method [3], linear programming solution, quadratic programming, the Newton method [4,5], the Interior Point Method (IPM). However the disadvantage of these techniques is that it is not possible to use these techniques in practical systems because of nonlinear characteristics such as valve point effects, prohibited operating zones, piecewise quadratic cost function and incorporation of FACTS devices to systems.…”
Section: Introductionmentioning
confidence: 99%
“…Over the last three decades, many successful OPF techniques have been developed such as, the generalized reduced gradient method [3], linear programming solution, quadratic programming, the Newton method [4,5], the Interior Point Method (IPM). However the disadvantage of these techniques is that it is not possible to use these techniques in practical systems because of nonlinear characteristics such as valve point effects, prohibited operating zones, piecewise quadratic cost function and incorporation of FACTS devices to systems.…”
Section: Introductionmentioning
confidence: 99%
“…These methods have a problem in handling many local minima due to the non-convexity of OPF problems. Gradient-based methods overcome the convergence problem, but sometime fail to meet inequality constraints [6]. Due to the limitations of deterministic methods, evolutionary methods were introduced to remedy these…”
Section: Introductionmentioning
confidence: 99%
“…The EPD problem is a large-scale highly constrained nonlinear non-convex optimization problem [2]. To solve it, a number of conventional optimization techniques such as nonlinear programming (NLP) [3], quadratic programming (QP) [4], linear programming (LP) [5,6], and interior point methods [7], Newton-based method [8], mixed integer programming [9], dynamic programming [10], and branch and bound [11] have been applied. All of these mathematical methods are fundamentally based on the convexity of objective function to find the global minimum.…”
Section: Introductionmentioning
confidence: 99%