Optimal Power Flow With Complementarity Constraints

Rosehart, William; Roman, C.; Schellenberg, A.

doi:10.1109/tpwrs.2005.846171

Cited by 95 publications

(58 citation statements)

References 11 publications

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“…x , we seek to find a feasibility enforcing direction q k to minimize the infeasibility by (5). Let (6), we can get the feasibility enforcing direction q k :…”

Section: Two-stage Sfomentioning

confidence: 99%

“…Its mathematical formulation as optimal power flow is proposed by Dommel and Tinney [2] . OPF has a wide variety of formulations under different applications as a large-scale non-convex nonlinear programming problem [3][4][5][6] . Recently, a family of interior-point methods (IPM) has enjoyed increasing popularity in OPF field due to its excellent computation performances [7][8][9] .…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Sequential feasible optimal power flow in power systems

Han

Jiang

Cao

2009

Sci. China Ser. E-Technol. Sci.

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A sequential feasible optimal power flow (OPF) method is developed for large-scale power systems. One of the outstanding features of this method is that it can maintain feasibility for both equality and inequality constraints during iterations. In sequential feasible OPF, every iteration consists of two stages: Objective improving stage and feasibility enforcing stage. Analytical basis for each stage is provided. Numerical studies on various power systems up to 2383 buses indicate that the proposed feasible approach is promising. Compared with the conventional OPF algorithms, such as interior point method, the proposed sequential feasible OPF approach can be terminated at any iteration and yield a feasible operating point simultaneously.optimal power flow, sequential feasible solution, interior point method, near binding

show abstract

“…x , we seek to find a feasibility enforcing direction q k to minimize the infeasibility by (5). Let (6), we can get the feasibility enforcing direction q k :…”

Section: Two-stage Sfomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Sequential feasible optimal power flow in power systems

Han

Jiang

Cao

2009

Sci. China Ser. E-Technol. Sci.

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show abstract

“…In optimization problems, complementarity constraints (CCs) are used to explain the disjunctive condition of system models [4]; that is, depending on a given environment, different rules are imposed for systems with these constraints. They can be found in mechanics, circuits with electronic switching devices, structural studies, and power market models in the electricity industry [1,2,5].…”

Section: Introductionmentioning

confidence: 99%

Fuzzy-Enforced Complementarity Constraints in Nonlinear Interior Point Method-Based Optimization

Song¹

2013

International Journal of Fuzzy Logic and Intelligent Systems

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This paper presents a fuzzy set method to enforce complementarity constraints (CCs) in a nonlinear interior point method (NIPM)-based optimization. NIPM is a Newton-type approach to nonlinear programming problems, but it adopts log-barrier functions to deal with the obstacle of managing inequality constraints. The fuzzy-enforcement method has been implemented for CCs, which can be incorporated in optimization problems for real-world applications. In this paper, numerical simulations that apply this method to power system optimal power flow problems are included.

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“…The method consists in following the solution path from a base case to a loadability limit, taking into account that the path folds at the limit point. Another possibility is to solve an optimization problem with the adequate constraints to compute the loading margin [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%