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Real power-system economic dispatch using a variable weights linear programming method

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Rahli M. , Benasla L. , Belmadani A. , Abdelhakem-Koridak L.

Journal of Power Technologies

2015

tom Vol. 95, nr 1

34--39

This paper presents an ecient method to solve an economic load dispatch problem with load flow type network security constraints: the active generation limits and line active power flows limits. A new form of linear programming method is proposed: a variable weights linear programming. The nonlinear dispatch problem is transformed into a linear one through variable weights linear programming. To achieve good linear, representation the nonlinear cost functions between the active generation limits are approximated by the sum of products of cost values multiplied by the variable weights. The nonlinear equality network constraint containing the losses expressed by the specially formulated and calculated function of generated powers is transformed into a linear one, the same manner as above. The set of nonlinear inequality constraints on line active power flows is linearly expressed in terms of active bus generation powers with upper limits on the active power flow to each violating lines. The dispatch problem transformed this manner with or without solving the load flow problem is demonstrated that the proposed method has practical application for real-time control/dispatch.

Application of Genetic Algorithms and Hopfield Neural Networks to Combined Economic and Emission Dispatch (CEED)

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Benyahia M. , Benasla L. , Rahli M.

Przegląd Elektrotechniczny

2009

tom R. 85, nr 10

111-115

This paper presents the Genetic Algorithms (GA) and Hopfield Neural Network (HNN) to solve the Combined Economic and Emission Dispatch (CEED) problem. The equality constraints of power balance and the inequality generator capacity constraints are considered. The CEED problem is a bi-objective non linear optimization problem since it is obtained by considering both the economy and emission objectives. This bi-objectives problem is converted into a single objective function using a price penalty factor approach. In this paper AG and HNN are tested on six generators system and the results are compared. The solutions are quite encouraging and useful in the CEED.

Artykuł przedstawia wykorzystanie algorytmów genetycznych i neuronowej sieci Hopfielda do rozwiązywania problemu emisji zanieczyszczeń CEED. Rozważono równość balansu mocy i nierówność obciążenia generatora. Problem CEED jest problemem optymalizacji biorącym pod uwagę równowagę kosztów paliwa i emisji zanieczyszczeń. Problem ten został sprowadzony do pojedynczej funkcji celu uwzględniającej koszty kary. Zagadnienie przetestowano na przykładzie sześciu generatorów.

Harmony Search Algorithm to solve Dynamic Economic Environmental Dispatch (DEED)

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Belmadani A. , Benasla L. , Rahli M.

Przegląd Elektrotechniczny

2011

tom R. 87, nr 9a

338-342

This paper presents an application of Harmony Search algorithm (HSA) to solve the Dynamic Economic-Environmental Dispatch (DEED) problem under some equality and inequality constraints. The equality constraints reflect a real power balance, and the inequality constraint reflects the limits of real generation. The voltage levels and security are assumed to be constant. Dynamic Economic-Environmental Dispatch problem is obtained by considering both the economy and emission objectives. This bi-objective problem is converted into a single objective function using a price penalty factor. Harmony Search algorithm is tested on six generators system and its results are compared with the solutions obtained in paper of Keerati. The results are quite encouraging and useful in the economic emission environment.

Zbadano zastosowanie algorytmu HSA do rozwiązania problemów dynamicznego rozsyłu energii. Uwzględniono realny balans mocy jak i realne ograniczenia. Algorytm przetestowano na sześciu systemach.