An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates

Torres, G.L.; Quintana, V.H.

doi:10.1109/59.736231

Cited by 323 publications

(162 citation statements)

References 15 publications

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“…Furthermore, PDIPM implements only MVA flow constraints. However, as the main computational burden in IPM is the factorization of a linear system of equations [12], we notice that as Matpower solvers rely on the "reduced KKT system" [10,21], the number of inequality constraints does not affect the size of this system, contrary to our implementation which uses the full KKT system (17). Table 8 presents the results of our experiments for four feasible OPF problems, where "L" denotes the linear objective 6 function (24), "Q" denotes the quadratic objective function MD (1), and the base case A-PST has been obtained from the base case A by setting to zero the angle of all 84 phase shifters and using as starting point the load flow solution of case A.…”

Section: Comparison With Available Solversmentioning

confidence: 99%

“…A (locally) optimal solution is found and the optimization process terminates when: primal feasibility, scaled dual feasibility, scaled complementarity gap and objective function variation from an iteration to the next fall below some tolerances [9,10,12]:…”

Section: The MCC Algorithmmentioning

confidence: 99%

“…IPM [7,8] has been successfully applied for nearly two decades to various OPF problems [9][10][11][12][13]. The main advantages of the IPM are: (i) ease of handling inequality constraints by logarithmic barrier functions, (ii) speed of convergence, and (iii) a strictly feasible initial point is not required.…”

Section: Introductionmentioning

confidence: 99%

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Experiments with the interior-point method for solving large scale Optimal Power Flow problems

Capitanescu

Wehenkel

2013

Electric Power Systems Research

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This article appeared in a journal published by Elsevier. The attached copy is furnished to the author for internal non-commercial research and education use, including for instruction at the authors institution and sharing with colleagues. and Security-Constrained Optimal Power Flow (SCOPF) problems. The paper discusses transparently the problems encountered such as convergence reliability and speed issues of the method.

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Section: Comparison With Available Solversmentioning

confidence: 99%

Section: The MCC Algorithmmentioning

confidence: 99%

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Experiments with the interior-point method for solving large scale Optimal Power Flow problems

Capitanescu

Wehenkel

2013

Electric Power Systems Research

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“…Because the corrected voltage should be equal to the lower bound ( V corr i = V lb i ) to maximize the CVR effect, α is given by: (27) Finally, the droop constants are corrected by using Equations (23) and (24). Even though the corrected droop constants are used, the voltage magnitude of node i can be smaller than its lower bound for another combination of the active power outputs.…”

Section: Final Correctionmentioning

confidence: 99%

A Conservation Voltage Reduction Scheme for a Distribution Systems with Intermittent Distributed Generators

2016

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Abstract:In this paper, a conservation voltage reduction (CVR) scheme is proposed for a distribution system with intermittent distributed generators (DGs), such as photovoltaics and wind turbines. The CVR is a scheme designed to reduce energy consumption by lowering the voltages supplied to customers. Therefore, an unexpected under-voltage violation can occur due to the variation of active power output from the intermittent DGs. In order to prevent the under-voltage violation and improve the CVR effect, a new reactive power controller which complies with the IEEE Std. 1547 TM , and a parameter determination method for the controller are proposed. In addition, an optimal power flow (OPF) problem to determine references for the resources of CVR is formulated with consideration of the intermittent DGs. The proposed method is validated using a modified IEEE 123-node test feeder. With the proposed method, the voltages of the test system are maintained to be greater than the lower bound, even though the active power outputs of the DGs are varied. Moreover, the CVR effect is improved compared to that used with the conventional reactive power control methods.

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“…An interior point method (IPM) has been reformulated and adapted to solve such a nonlinear problem. In fact, the IPM has been widely used to solve problems like the optimal power flow for large-scale systems [14], load ability maximization [15], voltage stability analysis [16], and security-constrained economic dispatch [17]. The IPM can be employed to solve TEP as a NLP problem that should be solved in each step of the ECHA.…”

Section: Introductionmentioning

confidence: 99%

An implementation of AC model to transmission expansion planning considering reliability constraints

MAHMOUDABAD¹

2013

Turk J Elec Eng & Comp Sci

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Abstract:In this paper, a hybrid heuristic methodology that employs fuzzy logic for solving the AC transmission network expansion planning (AC-TEP) problem is presented. An enhanced constructive heuristic algorithm aimed at obtaining a significant quality solution for such complicated problems considering contingency is proposed. In order to indicate the severity of the contingency, 2 performance indices, namely the line flow performance index and voltage performance index, are calculated. An interior point method is applied as a nonlinear programming solver to handle such nonconvex optimization problems, while the objective function includes the costs of the new transmission lines as well as the real power losses. The performance of the proposed method is examined by applying it to the well-known Garver system for different cases. The simulation studies and result analysis demonstrate that the proposed method provides a promising way to find an optimal plan. Obtaining the best quality solution shows the capability and the viability of the proposed algorithm in AC-TEP.

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An interior-point method for nonlinear optimal power flow using voltage rectangular coordinates

Cited by 323 publications

References 15 publications

Experiments with the interior-point method for solving large scale Optimal Power Flow problems

Experiments with the interior-point method for solving large scale Optimal Power Flow problems

A Conservation Voltage Reduction Scheme for a Distribution Systems with Intermittent Distributed Generators

An implementation of AC model to transmission expansion planning considering reliability constraints

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