2011
DOI: 10.1109/tpwrs.2010.2103576
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Fuzzy Stochastic Programming Method: Capacitor Planning in Distribution Systems With Wind Generators

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Cited by 37 publications
(34 citation statements)
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“…The situation would greatly worsen for larger systems with high penetration of WGs. In order to consider all uncertainties, the authors of [13] formulated a Fuzzy stochastic capacitor planning method to minimize the total cost of capacitor banks as well as the annual energy loss in a distribution system by using probabilistic models of load and WGs as Gaussian (Normal) and Weibull PDFs, respectively. Then the proposed fuzzy stochastic programming method was linearized to be successively solved using a robust Mixed Integer Linear Programming Solver to find the most probable optimal value.…”
Section: Jacobian Of the Inequality Constraints H(x)mentioning
confidence: 99%
“…The situation would greatly worsen for larger systems with high penetration of WGs. In order to consider all uncertainties, the authors of [13] formulated a Fuzzy stochastic capacitor planning method to minimize the total cost of capacitor banks as well as the annual energy loss in a distribution system by using probabilistic models of load and WGs as Gaussian (Normal) and Weibull PDFs, respectively. Then the proposed fuzzy stochastic programming method was linearized to be successively solved using a robust Mixed Integer Linear Programming Solver to find the most probable optimal value.…”
Section: Jacobian Of the Inequality Constraints H(x)mentioning
confidence: 99%
“…Considerable studies have also been devoted towards planning of capacitor banks in distribution network [7][8][9][10]. However, few recent articles focus on optimal placement and sizing of DGs along with capacitor banks in distribution network [11][12][13][14]. Sajjadi et al [11] have solved simultaneous DG and capacitor allocation problem using combinatorial form of local searching and GA considering the objective of power loss minimization and voltage stability improvement.…”
Section: Introductionmentioning
confidence: 99%
“…The authors have utilized sensitivity analysis technique to identify candidate location of DG and capacitor; and curve fitting technique to determine their optimal capacity in the network. A stochastic capacitor planning formulation in presence of wind turbine in distribution system is proposed by Dukpa et al [13]. The objective of their formulation was to select optimal location and size of capacitor minimizing total cost of capacitor.…”
Section: Introductionmentioning
confidence: 99%
“…Hence, it will be beneficial to develop optimal capacitor placement methods that incorporates the models of uncertainty behaviour of renewable resources and loads. The authors in [15] proposed a capacitor planning approach that considers the stochastic nature of loads and wind-based DG units. The authors modeled the forecasted loads using a Normal probabilistic distribution function (PDF).…”
Section: Introductionmentioning
confidence: 99%
“…Annual forecasts of wind-based DG outputs are modeled using a Weibull distribution function. It is assumed in [15] that all the loads or wind-based DG units have the same PDF shape parameters. The authors in [15] linearized the objectives and constraints of the problem formulation to be solved using a mixed integer linear programming solver.…”
Section: Introductionmentioning
confidence: 99%