Abstract
Virtual power plant (VPP) is an aggregation of multiple distributed generations, energy storage, and controllable loads. Affected by natural conditions, the uncontrollable distributed generations within VPP, such as wind and photovoltaic generations, are extremely random and relative. Considering the randomness and its correlation of uncontrollable distributed generations, this paper constructs the chance constraints stochastic optimal dispatch of VPP including stochastic variables and its random correlation. The probability distributions of independent wind and photovoltaic generations are described by empirical distribution functions, and their joint probability density model is established by Frank-copula function. And then, sample average approximation (SAA) is applied to convert the chance constrained stochastic optimization model into a deterministic optimization model. Simulation cases are calculated based on the AIMMS. Simulation results of this paper mathematic model are compared with the results of deterministic optimization model without stochastic variables and stochastic optimization considering stochastic variables but not random correlation. Furthermore, this paper analyzes how SAA sampling frequency and the confidence level influence the results of stochastic optimization. The numerical example results show the effectiveness of the stochastic optimal dispatch of VPP considering the randomness and its correlations of distributed generations.
Highlights
The continuing growth of energy consumption and environmental pollution spurs the application of distributed generations
Based on sample average approximation (SAA), Virtual power plant (VPP) stochastic optimal dispatch model is converted into a deterministic linear optimization model, which could be effectively solved by AIMMS
We proposed a stochastic optimal dispatch model of VPP considering correlations between uncontrollable distributed generations, such as wind and photovoltaic generations
Summary
The continuing growth of energy consumption and environmental pollution spurs the application of distributed generations. With more and more distributed generations connecting into the power grid, it became a serious problem to effectively manage a number of diffuse and different distributed generations, which maybe impede the green energy application. VPP is the collection of multiple decentralized distributed generations, energy storage, and some loads, with the characteristic of controllability like conventional power plants. VPP project [1] is mainly concentrated in Europe and the United States, whose research content focuses on interactive information architecture [2], operation control architecture [3], auxiliary services [4], and VPP energy management optimization scheduling
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