Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem

Distributed generation (DG) systems are integral parts in future distribution networks. In this paper, a novel approach integrating crisscross optimization algorithm and Monte Carlo simulation (CSO-MCS) is implemented to solve the optimal DG allocation (ODGA) problem. The feature of applying CSO to...

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Main Authors: Xiangang Peng, Lixiang Lin, Weiqin Zheng, Yi Liu
Format: Article
Language:English
Published: MDPI AG 2015-12-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/8/12/12389
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author Xiangang Peng
Lixiang Lin
Weiqin Zheng
Yi Liu
author_facet Xiangang Peng
Lixiang Lin
Weiqin Zheng
Yi Liu
author_sort Xiangang Peng
collection DOAJ
description Distributed generation (DG) systems are integral parts in future distribution networks. In this paper, a novel approach integrating crisscross optimization algorithm and Monte Carlo simulation (CSO-MCS) is implemented to solve the optimal DG allocation (ODGA) problem. The feature of applying CSO to address the ODGA problem lies in three interacting operators, namely horizontal crossover, vertical crossover and competitive operator. The horizontal crossover can search new solutions in a hypercube space with a larger probability while in the periphery of each hypercube with a decreasing probability. The vertical crossover can effectively facilitate those stagnant dimensions of a population to escape from premature convergence. The competitive operator allows the crisscross search to always maintain in a historical best position to quicken the converge rate. It is the combination of the double search strategies and competitive mechanism that enables CSO significant advantage in convergence speed and accuracy. Moreover, to deal with system uncertainties such as the output power of wind turbine and photovoltaic generators, an MCS-based method is adopted to solve the probabilistic power flow. The effectiveness of the CSO-MCS method is validated on the typical 33-bus and 69-bus test system, and results substantiate the suitability of CSO-MCS for multi-objective ODGA problem.
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spelling doaj.art-6138417c87154af48957918cfa96f4732022-12-22T02:55:13ZengMDPI AGEnergies1996-10732015-12-01812136411365910.3390/en81212389en81212389Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation ProblemXiangang Peng0Lixiang Lin1Weiqin Zheng2Yi Liu3School of Automation, Guangdong University of Technology, Lab 315, No.2, Laboratory Building, No.100, Higher Education Mega Center, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Lab 315, No.2, Laboratory Building, No.100, Higher Education Mega Center, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Lab 315, No.2, Laboratory Building, No.100, Higher Education Mega Center, Guangzhou 510006, ChinaSchool of Automation, Guangdong University of Technology, Lab 315, No.2, Laboratory Building, No.100, Higher Education Mega Center, Guangzhou 510006, ChinaDistributed generation (DG) systems are integral parts in future distribution networks. In this paper, a novel approach integrating crisscross optimization algorithm and Monte Carlo simulation (CSO-MCS) is implemented to solve the optimal DG allocation (ODGA) problem. The feature of applying CSO to address the ODGA problem lies in three interacting operators, namely horizontal crossover, vertical crossover and competitive operator. The horizontal crossover can search new solutions in a hypercube space with a larger probability while in the periphery of each hypercube with a decreasing probability. The vertical crossover can effectively facilitate those stagnant dimensions of a population to escape from premature convergence. The competitive operator allows the crisscross search to always maintain in a historical best position to quicken the converge rate. It is the combination of the double search strategies and competitive mechanism that enables CSO significant advantage in convergence speed and accuracy. Moreover, to deal with system uncertainties such as the output power of wind turbine and photovoltaic generators, an MCS-based method is adopted to solve the probabilistic power flow. The effectiveness of the CSO-MCS method is validated on the typical 33-bus and 69-bus test system, and results substantiate the suitability of CSO-MCS for multi-objective ODGA problem.http://www.mdpi.com/1996-1073/8/12/12389distributed generationoptimal allocationcrisscross optimization algorithmMonte Carlo simulationuncertainties
spellingShingle Xiangang Peng
Lixiang Lin
Weiqin Zheng
Yi Liu
Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem
Energies
distributed generation
optimal allocation
crisscross optimization algorithm
Monte Carlo simulation
uncertainties
title Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem
title_full Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem
title_fullStr Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem
title_full_unstemmed Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem
title_short Crisscross Optimization Algorithm and Monte Carlo Simulation for Solving Optimal Distributed Generation Allocation Problem
title_sort crisscross optimization algorithm and monte carlo simulation for solving optimal distributed generation allocation problem
topic distributed generation
optimal allocation
crisscross optimization algorithm
Monte Carlo simulation
uncertainties
url http://www.mdpi.com/1996-1073/8/12/12389
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AT weiqinzheng crisscrossoptimizationalgorithmandmontecarlosimulationforsolvingoptimaldistributedgenerationallocationproblem
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