Solving non-convex/non-smooth economic load dispatch problems via an enhanced particle swarm optimization

Qin, Quande; Cheng, Shi; Chu, Xianghua; Lei, Xiujuan; Shi, Yuhui

doi:10.1016/j.asoc.2017.05.034

Cited by 95 publications

(53 citation statements)

References 73 publications

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“…In addition, the centralized approaches, such as Lambda iteration method [14,15] and interior point method [16,17], require the cost function to be convex. Conventional approaches also include heuristic methods such as genetic algorithm (GA) [18,19], particle swarm optimization (PSO) [20][21][22], differential evolution [23,24], and other heuristic algorithms [25][26][27] that handle non-convex solution spaces and more stringent constraints. A computationally intelligent load forecasting system in smart energy management grid is discuss in [28], in which the single and the hybrid computational intelligence is mentioned.…”

Section: Literature Reviewmentioning

confidence: 99%

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A Fully Distributed Approach for Economic Dispatch Problem of Smart Grid

Li¹,

Wang²,

Li³

et al. 2018

Energies

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The cooperative, reliable and responsive characteristics make smart grid more popular than traditional power grid. However, with the extensive employment of smart grid concepts, the traditional centralized control methods expose a lot of shortcomings, such as communication congestion, computing complexity in central management systems, and so on. The distributed control method with flexible characteristics can meet the timeliness and effectiveness of information management in smart grid and ensure the information collection timely and the power dispatch economically. This article presents a decentralized approach based on multi agent system (MAS) for solving data collection and economic dispatch problem of smart grid. First, considering the generators and loads are distributed on many nodes in the space, a flooding-based consensus algorithm is proposed to achieve generator and load information for each agent. Then, a suitable distributed algorithm called λ-consensus is used for solving the economic dispatch problem, eventually, all generators can automatically minimize the total cost in a collective sense. Simulation results in standard test cases are presented to demonstrate the effectiveness of the proposed control strategy.

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Section: Literature Reviewmentioning

confidence: 99%

“…If ζ is positive and sufficiently small, then the algorithm in Equation (22) converges to a stable value, that is, lim t→∞ λ i (t) = λ * , lim t→∞ y i (t) = 0.…”

Section: Theoremmentioning

confidence: 99%

A Fully Distributed Approach for Economic Dispatch Problem of Smart Grid

Li¹,

Wang²,

Li³

et al. 2018

Energies

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“…The ELD problem is a classic type of constrained optimization problem consisting of objective function and constraints [4]. In the traditional ELD problem, the fuel cost function is modeled by a quadratic function, so the ELD problem can be transformed into a classical convex problem [5]. However, restricted by the valve point effect and prohibited operating zones in the actual power system, the traditional cost function becomes non-convex, which makes it difficult to optimize using traditional methods [6].…”

Section: Introductionmentioning

confidence: 99%

Energy Management of a Power System for Economic Load Dispatch Using the Artificial Intelligent Algorithm

Zhang

Chao

2020

Electronics

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Economic Load Dispatch (ELD) is a key issue in power systems and its goal is to achieve minimum economic costs by allocating the output of generator units when satisfying the load demands and the operating constraints. As the dimension of the variables and the constraints increase, the traditional mathematical method is gradually not suitable for the ELD. This paper proposes an Improved Bird Swarm Algorithm (IBSA) to solve the ELD problem of a power system. By introducing the nonlinear cognitive and social coefficients, the proportion of individual learning and social learning of birds can be dynamically adjusted. In addition, the Levy flight strategy is added to the group between producers and beggars to increase the randomness. The performance of IBSA is verified via two systems consisting of 6 and 15 units, respectively, that take into account generation limitation, ramp rate limit, and prohibited operating zones. From the simulation results, the IBSA has shown excellent performance and robustness, which can be considered as a reliable solution for the ELD.

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“…The practical ELD problems are quite complex, so most of scholars are committed to continuously improving or hybrid modern intelligent algorithms and developing new constraint handling mechanisms at present. Qin and Cheng et al [9] adopted an orthogonal designed method and proposed auxiliary vector generation based on multiple strategies to enhance the effectiveness of orthogonal designed operation. Based on the adaptive adjustment of acceleration coefficients, the algorithm's robustness and global search capability can be improved by employing a tent chaotic map.…”

Section: Introductionmentioning

confidence: 99%

A Phase-Based Adaptive Differential Evolution Algorithm for the Economic Load Dispatch Considering Valve-Point Effects and Transmission Losses

Shen

Zou

Zhang

et al. 2018

Mathematical Problems in Engineering

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A phase-based adaptive differential evolution (PADE) algorithm is proposed to solve the economic load dispatch (ELD) considering valve-point effects (VPE) and transmission losses. To a great extent, PADE makes up for the drawbacks of the traditional differential evolution (DE) through three improvements. First, we establish an archive of storing successful individuals to improve the quality of offspring. Second, to balance the exploring and exploiting ability of the algorithm, a phase-based mutation operation is carried out. Third, two control parameters are adaptively adjusted, which is helpful for enhancing the robustness of the algorithm. In addition, two types of repair methods of constraint handling are employed for the ELD without or with transmission losses to help PADE find feasible solutions more efficiently. A performance comparison between PADE and other DE approaches from the literature was carried out on six ELD test cases which consider a set of operating constraints including the VPE and transmission losses. Results show a competitive PADE performance in all test cases regarding the compared DE approaches. Compared to methods from the literature, the costs obtained by PADE are lower in most cases while the corresponding constraint violations reach a lower level.

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Solving non-convex/non-smooth economic load dispatch problems via an enhanced particle swarm optimization

Cited by 95 publications

References 73 publications

A Fully Distributed Approach for Economic Dispatch Problem of Smart Grid

A Fully Distributed Approach for Economic Dispatch Problem of Smart Grid

Energy Management of a Power System for Economic Load Dispatch Using the Artificial Intelligent Algorithm

A Phase-Based Adaptive Differential Evolution Algorithm for the Economic Load Dispatch Considering Valve-Point Effects and Transmission Losses

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