Abstract
In local power grid with high wind power penetration, using wind farm (WF) with energy storage system (ESS) as black-start (BS) source will significantly accelerate the restoration after blackout. For enabling WF to be a reliable BS source, an ESS sizing method based on asymmetric copula function is proposed, aiming mainly at smoothing WF output power during the process of starting up generator unit. To model the asymmetric correlation between ESS power sizing and capacity sizing, the joint probability distribution is built by asymmetric copula function. The most suitable copula function is determined by maximum likelihood estimation and a goodness of fit test. Considering sample variation, the parametric bootstrap method is applied for the confidence intervals of dependence parameter estimation. A case study with real WF data demonstrates that the proposed asymmetric copula function is more accurate and ESS sizing cost is lower consequently.
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