• Title, Summary, Keyword: Economic dispatch problem

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Economic Power Dispatch with Valve Point Effects Using Bee Optimization Algorithm

  • Kumar, Rajesh;Sharma, Devendra;Kumar, Anupam
    • Journal of Electrical Engineering and Technology
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    • v.4 no.1
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    • pp.19-27
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    • 2009
  • This paper presents a newly developed optimization algorithm, the Bee Optimization Algorithm (BeeOA), to solve the economic power dispatch (EPD) problem. The authors have developed a derivative free and global optimization technique based on the working of the honey bee. The economic power dispatch problem is a nonlinear constrained optimization problem. Classical optimization techniques fail to provide a global solution and evolutionary algorithms provide only a good enough solution. The proposed approach has been examined and tested on two test systems with different objectives. A simple power dispatch problem is tested first on 6 generators and then the algorithm is demonstrated on 13 thermal unit systems whose incremental fuel cost function takes into account the value point loading effect. The results are promising and show the effectiveness and robustness of the proposed approach over recently reported methods.

An Improved Dynamic Programming Approach to Economic Power Dispatch with Generator Constraints and Transmission Losses

  • Balamurugan, R.;Subramanian, S.
    • Journal of Electrical Engineering and Technology
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    • v.3 no.3
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    • pp.320-330
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    • 2008
  • This paper presents an improved dynamic programming (IDP) approach to solve the economic power dispatch problem including transmission losses in power systems. A detailed mathematical derivation of recursive dynamic programming approach for the economic power dispatch problem with transmission losses is presented. The transmission losses are augmented with the objective function using price factor. The generalized expression for optimal scheduling of thermal generating units derived in this article can be implemented for the solution of the economic power dispatch problem of a large-scale system. Six-unit, fifteen-unit, and forty-unit sample systems with non-linear characteristics of the generator, such as ramp-rate limits and prohibited operating zones are considered to illustrate the effectiveness of the proposed method. The proposed method results have been compared with the results of genetic algorithm and particle swarm optimization methods reported in the literature. Test results show that the proposed IDP approach can obtain a higher quality solution with better performance.

Economic Dispatch Problem Using Advanced Genetic Algorithms (개선된 유전 알고리즘을 이용한 경제급전 문제해석)

  • Park, Jong-Nam;Kim, Jin-O
    • Proceedings of the KIEE Conference
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    • pp.1106-1108
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    • 1997
  • This paper presents a new approach on genetic algorithms to economic dispatch problem for valve point discontinuities. Proposed approach in this paper on genetic algorithms improves the performance to solve economic dispatch problem for valve point discontinuities through combination in penalty function with death penalty, generation-apart elitism, atavism and heuristic crossover. Numerical results on an actual utility system consisted of 13 thermal units show that the proposed approach is faster and robuster than classical genetic algorithm.

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An efficient dynamic load dispatch algorithm with Lagrange multipliers adjustment (라그랑지승수 수정에 의한 효율적인 동적부하배분 알고리즘)

  • 송길영;오광희;김용하
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.45 no.4
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    • pp.467-473
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    • 1996
  • This Paper presents a new algorithm to solve Dynamic Economic Dispatch problem. Proposed algorithm is composed of two computational modules; one is dispatch, the other adjusting module. In the dispatch module based on the traditional Static Economic Dispatch method, the power dispatch of each unit is calculated. And in case the results of dispatch module violate ramp rate constraints, Lagrange multipliers are adjusted in the adjusting module. Tests and computer results on test systems are given to show the efficiency of the proposed algorithm. (author). 11 refs., 6 figs., 4 tabs.

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Genetic Algorithm Based Economic Dispatch with Valve Point Loading (Valve Point 효과가 고려된 경제급전 문제에서의 유전알고리즘 응용)

  • Park, Jong-Nam;Park, Sang-Ki;Kim, Jin-O
    • Proceedings of the KIEE Conference
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    • pp.172-174
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    • 1996
  • This paper presents a new approach on genetic algorithms to economic dispatch problem for valve point discontinuities. Although it has been already shown that genetic algorithm was more powerful to economic dispatch problem for valve point discontinuities than other optimization algorithms, proposed approach in this paper on genetic algorithms improves the performance to solve economic dispatch problem for valve point discontinuities through combination in penalty function with death penalty, generation-apart elitism and heuristic crossover. Numerical results on an actural utility system consisted of 13 thermal units show that the proposed approach is faster and robuster than the classical genetic algorithm.

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Efficient Lambda Logic Based Optimisation Procedure to Solve the Large Scale Generator Constrained Economic Dispatch Problem

  • Adhinarayanan, T.;Sydulu, M.
    • Journal of Electrical Engineering and Technology
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    • v.4 no.3
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    • pp.301-309
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    • 2009
  • A simple and efficient Lambda logic (${\lambda}-logic$) based algorithm is proposed for the solution of the generator constrained economic dispatch problem when the generating units having prohibited zones. The proposed method solves the economic dispatch (ED) problem that takes into account ramprate limits, transmission losses and prohibited operating zones in the power system operation. The proposed method uses a simple heuristic rule based on average power of prohibited operating zones which produces the feasibility of solution for the restricted operating units. The effectiveness of the algorithm is tested on five different test systems and the performance compared with other relevant methods reported in the literature. In all the cases, the proposed algorithm performs better than the previous existing algorithms with a less computational burden.

Multi Area Economic Dispatch using Secant Method

  • Sudhakar, A.V.V.;Chandram, Karri;Jayalaxmi, A.
    • Journal of Electrical Engineering and Technology
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    • v.8 no.4
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    • pp.744-751
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    • 2013
  • In this paper, Secant method is proposed to solve multi area economic dispatch (MAED) problem. Generator limits of all generators in each area are calculated at given area power demands plus export (or import) using secant method and the generator limits of all generators are modified as modified generator limits. Central economic dispatch (CED) problem is used to determine the output powers of all generators. Here, Secant method is applied to solve the CED problem. The proposed approach has been tested on two-area (two generators in each area) system and four-area (four generators in each area) system. It is observed from various cases that the proposed approach provides optimally best solution in terms of cost with tie line loss with less computational burden.

Optimization Algorithm for Real-time Load Dispatch Problem Using Shut-off and Swap Method (발전정지와 교환방법을 적용한 실시간급전문제 최적화 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.4
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    • pp.219-224
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    • 2017
  • In facing the lack of a deterministic algorithm for economic load dispatch optimization problem, only non-deterministic heuristic algorithms have been suggested. Worse still, there is a near deficiency of research devoted to real-time load dispatch optimization algorithm. In this paper, therefore, I devise a shut-off and swap algorithm to solve real-time load dispatch optimization problem. With this algorithm in place, generators with maximum cost-per-unit generation power are to be shut off. The proposed shut-off criteria use only quadratic function in power generation cost function without valve effect nonlinear absolute function. When applied to the most prevalent economic load dispatch benchmark data, the proposed algorithm is proven to largely reduce the power cost of known algorithms.

A Multi-level Optimal Power Flow Algorithm for Constrained Power Economic Dispatch Control (제약조건을 고려한 경제급전 제어를 위한 다단계 최적조류계산 알고리즘)

  • Song, Gyeong-Bin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.9
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    • pp.424-430
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    • 2001
  • A multi-level optimal power flow(OPF) algorithm has been evolved from a simple two stage optimal Power flow algorithm for constrained power economic dispatch control. In the proposed algorithm, we consider various constraints such as ower balance, generation capacity, transmission line capacity, transmission losses, security equality, and security inequality constraints. The proposed algorithm consists of four stages. At the first stage, we solve the aggregated problem that is the crude classical economic dispatch problem without considering transmission losses. An initial solution is obtained by the aggregation concept in which the solution satisfies the power balance equations and generation capacity constraints. Then, after load flow analysis, the transmission losses of an initial generation setting are matched by the slack bus generator that produces power with the cheapest cost. At the second stage we consider transmission losses. Formulation of the second stage becomes classical economic dispatch problem involving the transmission losses, which are distributed to all generators. Once a feasible solution is obtained from the second stage, transmission capacity and other violations are checked and corrected locally and quickly at the third stage. The fourth stage fine tunes the solution of the third stage to reach a real minimum. The proposed approach speeds up the two stage optimization method to an average gain of 2.99 for IEEE 30, 57, and 118 bus systems and EPRI Scenario systems A through D testings.

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Genetic Algorithm Based Economic Dispatch with Valve Point Effect (Valve Point 효과가 고려된 경제급전에서의 유전알고리즘 응용)

  • Park, Jong-Nam;Park, Kyung-Won;Kim, Ji-Hong;Kim, Jin-O
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.3
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    • pp.203-211
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    • 1999
  • This paper presents a new approach on genetic on genetic algorithm to economic dispatch problem for valve point discontinuities. Proposed approach in this paper on genetic algorithms improves the performance to solve economic dispatch problem for valve point discontivuities through improved death penalty method, generation-apart elitism, atavism and sexual selection with sexual distinction. Numerical results on a test system consisting of 13 thermal units show that the proposed approach is faster, more robust and powerful than conventional genetic algorithms.

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