• Title/Summary/Keyword: Economic load dispatch

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Adaptive Evolutionary Computation to Economic Load Dispatch Problem with Piecewise Quadratic Cost Funcion (구분적인 이차 비용함수를 가진 경제급전 문제에 적응진화연산 적용)

  • Mun, K.J.;Hwang, G.H.;Kim, H.S.;Park, J.H.;Jung, J.W.
    • Proceedings of the KIEE Conference
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    • 1998.07c
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    • pp.844-846
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    • 1998
  • In this study, an adaptive evolutionary computation(AEC), which uses adaptively a genetic algorithm having global searching capability and an evolution strategy having local searching capability with different methodologies, is suggested. This paper develops AEC for solving ELD problem with piecewise quadratic cost function. Numerical results show that the proposed AEC can provide accurate dispatch solutions within reasonable time for the ELD problem with piecewise quadratic cost function.

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Balance-Swap Optimization of Economic Load Dispatch Problem using Quadratic Fuel Cost Function (이차 발전비용함수를 사용한 경제급전문제의 균형-교환 최적화)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.14 no.4
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    • pp.243-250
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    • 2014
  • In this paper, I devise a balance-swap optimization (BSO) algorithm to solve economic load dispatch with a quadratic fuel cost function. This algorithm firstly sets initial values to $P_i{\leftarrow}P_i^{max}$, (${\Sigma}P_i^{max}$ > $P_d$) and subsequently entails two major processes: a balance process whereby a generator's power i of $_{max}\{F(P_i)-F(P_i-{\alpha})\}$, ${\alpha}=_{min}(P_i-P_i^{min})$ is balanced by $P_i{\leftarrow}P_i-{\alpha}$ until ${\Sigma}P_i=P_d$; and a swap process whereby $_{max}\{F(P_i)-F(P_i-{\beta})\}$ > $_{min}\{F(P_i+{{\beta})-F(P_j)\}$, $i{\neq}j$, ${\beta}$ = 1.0, 0.1, 0.1, 0.01, 0.001 is set at $P_i{\leftarrow}P_i-{\beta}$, $P_j{\leftarrow}P_j+{\beta}$. When applied to 15, 20, and 38-generators benchmark data, this simple algorithm has proven to consistently yield the best possible results. Moreover, this algorithm has dramatically reduced the costs for a centralized operation of 73-generators - a sum of the three benchmark cases - which could otherwise have been impossible for independent operations.

Determination of optimal unit commitment and load dispatch for thermal power system by DP method (DP법에 의한 화력계통의 최적병렬치수 결정 및 부하배분)

  • 양흥석;이문호
    • 전기의세계
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    • v.21 no.2
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    • pp.34-40
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    • 1972
  • This paper describes the problem of the shortange-economic-scheduling for unit commitment and load dispatching in thermal power system. For economic operation of thermal system, the optimum time of startup and shoutdown of the generating unit must be determined so as to minimize the sum of generating and starting fuel cost over a given period. The above problems are analyzed for the purpose of the application of Dynamic Programing Method. Also the technique of Dynamic Programming is applied to the problems. For the illustative purpose, a case study was made on a model system composed of eight units and the computing time was about 190 seconds by IBM 360-40 system. Therefore, one can utilize this suggested method on any of the practical power systems.

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A Study on the Model Development of CHP optimal operation algorithm (열병합발전소의 최적운전 알고리즘 개발)

  • Kim, Yong-Ha;Back, Bum-Min;Woo, Sung-Min;Lee, Kwang-Seong;Sin, Hyeong-Cheol
    • Proceedings of the KIEE Conference
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    • 2008.07a
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    • pp.522-523
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    • 2008
  • This paper develops optimal operation mechanism of CHP(Combine Heat and Power) for enhancement of energy efficiency. It verify optimal operation of Accumulator using Economic Heat Load Dispatch and Dynamic Programing through case study.

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Development of Optimal Operation Algorithm about CES Power Plant (CES 발전소의 최적운용 알고리즘 개발)

  • Kim, Yong-Ha;Park, Hwa-Yong;Kim, Eui-Gyeong;Woo, Sung-Min;Lee, Won-Ku
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.26 no.2
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    • pp.61-70
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    • 2012
  • Recently due to the increasing of the importance on the green energy is getting higher by implementing EERS(Energy Efficiency Resource Standards) and NA(Negotiated Agreement) such as lacks of natural resources and The United Nations Framework Convention on Climate Change. And the most practical solution is CHP(Combined Heat and Power) which performs the best energy efficiency. This paper developed optimal operation mechanism of CES(Community Energy System) for enhancement of energy efficiency using CHP(Combined Heat and Power), PLB(Peak Load Boiler) and ACC(ACCumulator) capacities. This method optimally operated these capacities calculated the maximum profits by Dynamic Programing. Through the case studies, it is verified that the proposed algorithm of can evaluate availability.

An Expert System for Short Term Load Forecasting by Fuzzy Decision (Fuzzy Decision을 사용한 단기부하예측 전문가 시스템)

  • Park, Young-Il;Park, Jong-Keun
    • Proceedings of the KIEE Conference
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    • 1988.11a
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    • pp.118-121
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    • 1988
  • Load forecasting is an important issue as for the economic dispatch and there have been many researches which are classfied into two classes, time series method and factor analysis method. But the former is not adaptive for a sudden change of a correlated factor and the latter is not inefficient as the factor estimation is not easy. To make matters worse, both of them are not good for the estimation of special days. It is because the load forecasting is not a problem modeled precisely in mathematics, but a problem requires experience and knowledge those can solve it case by case. In this viewpoint, an expert system is proposed which can use complicated experience of an expert by use of fuzzy decision.

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A Computation Method of B-coefficient With Static Voltage Dependent Load Model (정적 전압의존형 부하모델을 적용한 B계수 산정법)

  • Lee, Myung-Hwan;Chae, Myung-Suk;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.218-220
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    • 1997
  • In power system, economic dispatch problem is to minimize fuel cost with inequality constraints of generator output. To solve this problem it is very important to express power loss equation that have Quadratic function of generator power included B-coefficient. This paper presents a method in determining B-coefficient by use A-matrix that is calculated by power flow considering voltage dependent static load model. The proposed algorithm is tested with IEEE 6 bus sample system, which shows the result in each cases by the change of load component factor.

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Stochastic Analysis of the Uncertain Hourly Load Demand Applying to Unit Commitment Problem (발전기 기동정지 계획에 적용되는 불확실한 부하곡선에 대한 통계적 분석)

  • Jung, Choon-Sik;Park, Jeong-Do;Kook, Hyun-Jong;Moon, Young-Hyun
    • Proceedings of the KIEE Conference
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    • 2000.07a
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    • pp.337-340
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    • 2000
  • In this paper, the effects of the uncertain hourly load demand are stochastically analyzed especially by the consideration of the average over generation of the Unit Commitment(UC) results. In order to minimize the effects of the actual load profile change, a new UC algorithm is proposed. The proposed algorithm calculates the UC results with the lower load level than the one generated by the conventional load forecast. In case of the worse load forecast, the deviation of the conventional UC solution can be overcome with the lower load level and the more hourly reserve requirements. The proposed method is tested with sample systems, which shows that the proposed method can be used as the basic guideline for selecting the potimal load forecast applying to UC problem.

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Dynamic Economic Load Dispatch Problem Applying Valve-Point Balance and Swap Optimization Method (밸브지점 균형과 교환 최적화 방법을 적용한 동적경제급전문제)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.16 no.1
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    • pp.253-262
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    • 2016
  • This paper proposes a balance-swap method for the dynamic economic load dispatch problem. Based on the premise that all generators shall be operated at valve-points, the proposed algorithm initially sets the maximum generation power at $P_i{\leftarrow}P_i^{max}$. As for generator i with $_{max}c_i$, which is the maximum operating cost $c_i=\frac{F(P_i)-F(P_{iv_k})}{(P_i-P_{iv_k})}$ produced when the generation power of each generator is reduced to the valve-point $v_k$, the algorithm reduces i's generation power down to $P_{iv_k}$, the valve-point operating cost. When ${\Sigma}P_i-P_d$ > 0, it reduces the generation power of a generator with $_{max}c_i$ of $c_i=F(P_i)-F(P_i-1)$ to $P_i{\leftarrow}P_i-1$ so as to restore the equilibrium ${\Sigma}P_i=P_d$. The algorithm subsequently optimizes by employing an adult-step method in which power in the range of $_{min}\{_{max}(P_i-P_i^{min}),\;_{max}(P_i^{max}-P_i)\}$>${\alpha}{\geq}10$ is reduced by 10; a baby step method in which power in the range of 10>${\alpha}{\geq}1$ is reduced by 1; and a swap method for $_{max}[F(P_i)-F(P_i-{\alpha})]$>$_{min}[F(P_j+{\alpha})-F(P_j)]$, $i{\neq}j$ of $P_i=P_i{\pm}{\alpha}$, in which power is swapped to $P_i=P_i-{\alpha}$, $P_j=P_j+{\alpha}$. It finally executes minute swap process for ${\alpha}=\text{0.1, 0.01, 0.001, 0.0001}$. When applied to various experimental cases of the dynamic economic load dispatch problems, the proposed algorithm has proved to maximize economic benefits by significantly reducing the optimal operating cost of the extant Heuristic algorithm.

Multi-Area Unit Commitment with Bilateral Contract Approach in Deregulated Electricity Market

  • Selvi, S.Chitra;Devi, R.P.Kumudini;Rajan, C.Christober Asir
    • Journal of Electrical Engineering and Technology
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    • v.4 no.3
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    • pp.346-352
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    • 2009
  • The eventual goal of this paper is to help the generating companies and load-serving entities to choose appropriate relative levels of interconnected system versus bilateral trades while considering risk, and economic performance. In competitive power markets, electricity prices are determined by balance between demand and supply in electric power exchanges or bilateral contracts. The problem formulation is bilateral contract incorporated into Multi-area unit commitment with import/export and tie-line constraints. This proposed method considers maximizing own profit or minimize the operating cost among the generating companies in multi-area system. The feasibility of the proposed algorithm has been demonstrated using IEEE system with four areas and experimental results shows that proposed method is reliable, fast and computationally efficient