A Fuzzy-Optimization Approach to Dynamic Economic Dispatch Considering Uncertainties

Attaviriyanupap, Pathom; Kita, H.; Tanaka, Eiichi; Hasegawa, Jun

doi:10.1109/tpwrs.2004.831272

Cited by 111 publications

(75 citation statements)

References 18 publications

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“…[ 130] Non Quantity Approaches-Heuristic (N-H) 0r HeuristicNon Quantity Approaches (H-N): In this case a non -quantity method is used to address an uncertainty before a heuristic method is applied. The vice versa is also true Examples include Fuzzy Optimization Technique (FOT) and Goal Satisfaction Concept (GSC)-(FOT-GSC) P.A et al, 2004 [131] and Chaotic Differential Evolution (CDE), Y.Lu et al,2011 [132].…”

Section: Two Methods Hybridsmentioning

confidence: 99%

Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions

Musau¹

2015

IJEPE

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Abstract:The formulation and solution of the Dynamic Economic Dispatch (DED) problem is one of the key disciplines in modern power system operation, planning, operation and control. Past researches have considered DED on Quadratic Cost Functions (QCF), with only few works considering higher order cost functions which are more accurate. The Static Economic Dispatch (SED) has been widely tackled in past researches, however, it is the DED problem that represents a real life power system. There is need to review this problem and establish a more practical formulation of the same taking into consideration all the objectives and constraints possible. The methods used in the solution of DED problem have evolved from the traditional deterministic ones, to the pure heuristic, and finally to the state of the heart hybrids. The hybrids methods have been developed to exalt the strengths and improve the weaknesses of the base method. Such optimisation methods need to be reviewed and classified. This paper will do an in depth review of the DED problem on both quadratic and cubic cost functions. Further it will provide a detailed classification of the methods used to solve the problem as its complexity increases. Consequently, three method Hybrids is the way go as far as the solution of the cubic Multi Objective DED (MODED) with five objectives is concerned.

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Section: Two Methods Hybridsmentioning

confidence: 99%

Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions

Musau¹

2015

IJEPE

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“…While the effectiveness of the approach was validated in some benchmark cases involving fewer test systems, for large power systems, it suffers from the curse of dimensionality due to the matrix size and coupled with the sequentiality of the algorithm. Evolutionary and other stochastic methods such as: Genetic Algorithm (GA) [12], Fuzzy Logic (FL) [13], Artificial Neural Network (ANN) [7], Particle Swarm Optimization (PSO) [4], Differential Evolution [14], Simulated Annealing (SA) [15], their hybrids and variants including: Hopfield Neural Network/Quadratic Programming [16], Harmony Search Algorithm [17], Evolutionary Programming/Sequential Quadratic Programming [18], Fuzzy Logic/Simulated Annealing [19], etc, have attracted great interest in the recent past for realising optimal solutions, and applied to solve DELD problems. These algorithms are population-based search methods, with random control parameters, and use probabilistic rules to update the positions of their potential solutions in the search space.…”

Section: Review Of Previous Deld Optimization Approachesmentioning

confidence: 99%

Novel Adaptive Evolutionary Computation Approaches to the Dynamic Economic Load Dispatch Problems with Non-Smooth Fuel Cost Function

Orike¹

2014

IJCA

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The paper presents novel approaches to solving the dynamic economic load dispatch (DELD) problem with valve-point loading effects. In dynamic environments, optimization problems change over time. They are also called time dependent or dynamic time-linkage problems, where decisions made at a given time may affect output obtained in a later time. It is therefore expected of algorithms solving dynamic optimization problems to both locate optimal solutions of the given problem and keep track of such solutions as they change with time. An investigation was made of three optimization methods in conjunction with three smart mutation variants, on benchmark problem cases involving 5 and 10 generating units, the major test cases in the literature with comparative results for other algorithms. The results suggest that the third approach which exploits the dynamic nature of the problem was capable of superior to the other two approaches. Comparisons with all approaches so far in the literature that have addressed these problems show that these evolutionary computation approaches are superior to other algorithms.

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“…Some use advanced mathematical techniques to model the uncertainties, including probabilistic distribution [6,7], fuzzy arithmetic [8,9] and interval arithmetic [10,11]. The former two descriptions require the knowledge of membership functions or probability distribution whereas the uncertainties can be easily described by interval arithmetic with upper and lower bounds, which coincides with the available load or wind power forecast methods [12,13].…”

Section: Introductionmentioning

confidence: 99%

Frequency aware robust economic dispatch

Sun

Han

Zhang

et al. 2016

J. Mod. Power Syst. Clean Energy

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This paper proposes a novel frequency aware robust economic dispatch (FARED) approach to exploit the synergistic capability of accommodating uncertain loads and renewable generation by accounting for both the frequency regulation effect and optimal participation mechanism of secondary regulation reserves for conventional units in response to uncertainties in the robust optimization counterpart of security constrained economic dispatch. The FARED is formulated as a robust optimization problem. In this formulation the allowable frequency deviation and the possible load or renewable generation curtailments are expressed in terms of variable uncertainty sets. The variables in the formulation are described as interval variables and treated in affine form. In order to improve the computational tractability, the dominant constraints which can be the candidates of tight transmission constraints are determined by complementarity constraints. Then the robust optimization problem is simplified to a bilinear programming problem based on duality theory. Finally, the effectiveness and efficiency of the proposed method are illustrated based on several study cases.

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A Fuzzy-Optimization Approach to Dynamic Economic Dispatch Considering Uncertainties

Cited by 111 publications

References 18 publications

Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions

Multi Objective Dynamic Economic Dispatch with Cubic Cost Functions

Novel Adaptive Evolutionary Computation Approaches to the Dynamic Economic Load Dispatch Problems with Non-Smooth Fuel Cost Function

Frequency aware robust economic dispatch

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