• Title/Summary/Keyword: 쌍대 내점법

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Evaluation of Transfer Capability based on Load Supplying Capability Calculation using Nonlinear Primal-Dual Interior Point Method (비선형 주.쌍대내점법을 이용한 부하공급능력의 산정에 기반한 전력수송능력의 평가)

  • Jeong, Min-Hwa;Lee, Byeong-Jun;Song, Gil-Yeong
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.49 no.4
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    • pp.161-167
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    • 2000
  • This paper presents a new methodology that can evaluate transfer capability of composite power systems from the adequacy point of view in power system planning stages. First of all, to evaluate practical load supplying capability, nonlinear optimization problems of maximum load supplying capability(MLSC) and economic load supplying capability(ELSC) are formulated and solved by nonlinear primal-dual interior point method. Here, physical constraints considered in the optimization problems are the limits of bus voltage, line overloading, and real & reactive power generation. Also, an evaluation method of transfer capability is presented based on margins calculated by the MLSC and ELSC. Especially, to evaluate transfer capability flexibly, simple indices such as expected MLSC, transfer capability margin, and power not supplied are respectively proposed by considering (N-1) line outage probability. Numerical results on IEEE RTS 24, IEEE 118, and IEEE 300 bus system show that the proposed algorithm is effective and useful for power system planning stages.

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Optimal Reactive Power Planning with a Nonlinear Interior Point Method (비선형 내점법을 이용한 조상설비 최적화 방안 연구)

  • Kim, Tae-Gyun;Kim, Jae-Won;Lee, Byong-Joon;Jung, Eung-Soo;Cho, Jong-Man
    • Proceedings of the KIEE Conference
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    • 2007.07a
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    • pp.481-482
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    • 2007
  • 무효전력 계획은 크게 계통운용계획과 투자비용계획으로 구분할 수 있다. 본 논문은 조상설비 투입계획 관점에서 주 쌍대 비선형 내점법을 이용한 조상설비 최적화 모의를 수행한다. 실 계통 규모의 대규모 계통을 모의하기 위하여 모선번호 ordering 기법 및 고성능 LU 분해 기법을 적용하였으며 조상설비 계획문제에 포함되는 이산변수의 처리는 투입위치 및 용량의 정수화를 통하여 최적화 문제에 이산변수를 포함하지 않도록 한다. 본 알고리즘은 2006년도 한전계통의 조상설비 현황을 바탕으로 하여 2008년도 계통상태에 대한 조상설비 투입계획 모의에 적용한다.

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A Study on Power Flow and Marginal Factor based on Optimal Power Flow using Nonlinear Interior Point Method under Restructuring Environment (전력산업 구조개편 환경에서 비선형 내점법의 최적조류계산에 의한 전력조류 및 한계계수에 관한 연구)

  • 정민화;남궁재용;권세혁
    • Journal of Energy Engineering
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    • v.11 no.4
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    • pp.291-298
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    • 2002
  • This paper presents a practical methodology that can analysis power flow and marginal factors based on optimal power flow (OPF) of power systems under restructuring environment. First of all, to evaluate useful marginal factors, nonlinear optimization problems of minimum fuel cost and minimum transmission loss are formulated and solved by nonlinear primal-dual interior point method. Here, physical constraints considered in the optimization problems are the limits of bus voltage. line overloading, and real & reactive power generation. Also, an evaluation method of marginal price and marginal transmission loss is presented based on sensitivities calculated by the two OPF problems. Especially, to reflect the cost related to transmission losses in the competitive electricity market, an analysis method of MLF (marginal loss factor) is pro-posed. Numerical results on IEEE RTS 24 show that the proposed algorithm is effective and useful for analysis of power market price.