An optimal formulation and solution of short-range operating problems for a power system with flow constraints

Dodu, J. C.; Martín, Pedro Sánchez; Merlin, A.; Pouget, Julien

doi:10.1109/proc.1972.8557

Cited by 105 publications

(31 citation statements)

References 4 publications

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“…Das Problem der Einsatzoptimierung wurde beispielsweise yon Anderson et al [1970], Brauer [1973], Dodu et al [1972], Muckstadt/Koenig [1975] und Pack et al [ 1971] als ein gemischt-ganzzahliges lineares Programm formuliert, wiihrend das Problem der Belastungsoptimierung gew6hnlich durch ein sehr einfaches Verfahren, das sogenannte Zuwachskostenverfahren [Kirchmayer], gel6st wird.…”

Section: B 199unclassified

Stochastische Modelle zur optimalen Lastverteilung in einem Kraftwerksverbund

Wiebking¹

1977

Zeitschrift für Operations Research

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Abstract:The economic operation of an electric power system over a short time horizon involves two separate steps. The first of these is the predispatch or selection of equipment to be operated to meet the expected loads at each point in time of the horizon (unit commitment). The second step is the on-line economic dispatch which determines, instant to instant, the load to be carried on each unit selected in the first step. The unit commitment problem is usually solved by mixed integer programming and the economic dispatch problem by an incremental cost method. In this paper stochastic programming models for the unit commitment and economic dispatch problems are presented. EinfiihrungDie Lastverteilung in einem Kraftwerksverbund erfolgt in zwei Schritten. Im ersten Schritt werden die Kraftwerkseinheiten ausgew/ihlt, die zu jedem Zeitpunkt des Planungszeitraumes in Betrieb sind, damit die erwartete Energieanforderung (Last) erftillt werden kann. Bei dieser Entscheidung mtissen u.a. die Kosten beriicksichtigt werden, die durch An-und Abfahren der verschiedenen Dampfturbinen verursacht werden. Dieses Problem wird als Einsatzoptimierung bezeichnet, w/ihrend im zweiten Schritt eine Belastungsoptimierung durchgef'tihrt wird. In dieser Optimierung wird die Last, die in einem bestimmten Zeitpunkt tats~ichlich anf~illt, auf die in Betrieb befindlichen Kraftwerkseinheiten unter BeriJcksichtigung der verschiedenen Wirkungsgrade der Einheiten verteilt. 1) Dr. RolfWiebking, Parkstr. 24, 5210 Ttoisdorf.

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Section: B 199unclassified

Stochastische Modelle zur optimalen Lastverteilung in einem Kraftwerksverbund

Wiebking¹

1977

Zeitschrift für Operations Research

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“…The economic load dispatch problem (ELD) is a crucial issue of power system operation that minimizes the operational cost while satisfying a set of physical and operational constraints imposed by generators and system limitations [1]. A large number of conventional optimization methods have been applied successfully for solving the ELD problem such as gradient method [2], lambda iteration method [3], semi-definite programming [4], quadratic programming [5], dynamic programming [6], Lagrangian relaxation method [7] and linear programming [8]. However, they suffer from difficulties when dealing with problems with nonconvex objective function and complex constraints, which tends to exhibit highly non-linear, non-convex and non-smooth characteristics with a number of local optima [9].…”

Section: Introductionmentioning

confidence: 99%

A Novel Multi-Population Based Chaotic JAYA Algorithm with Application in Solving Economic Load Dispatch Problems

Kim

Wadood

et al. 2018

Energies

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Abstract:The economic load dispatch (ELD) problem is an optimization problem of minimizing the total fuel cost of generators while satisfying power balance constraints, operating capacity limits, ramp-rate limits and prohibited operating zones. In this paper, a novel multi-population based chaotic JAYA algorithm (MP-CJAYA) is proposed to solve the ELD problem by applying the multi-population method (MP) and chaotic optimization algorithm (COA) on the original JAYA algorithm to guarantee the best solution of the problem. MP-CJAYA is a modified version where the total population is divided into a certain number of sub-populations to control the exploration and exploitation rates, at the same time a chaos perturbation is implemented on each sub-population during every iteration to keep on searching for the global optima. The proposed MP-CJAYA has been adopted to ELD cases and the results obtained have been compared with other well-known algorithms reported in the literature. The comparisons have indicated that MP-CJAYA outperforms all the other algorithms, achieving the best performance in all the cases, which indicates that MP-CJAYA is a promising alternative approach for solving ELD problems.

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“…Given the importance of ED, solving the ED problem has been attempted from the early 1970's [1]. These early attempts employed classical, gradient based techniques such as lambda-iteration method, gradient method and dynamic programming [2].…”

Section: Introductionmentioning

confidence: 99%