基于相关性多面体集合的综合能源系统鲁棒优化

Robust Optimization of Integrated Energy Systems Based on Correlated Polyhedral Sets

  • 摘要: 为了准确地描述新能源输出功率的波动性和随机性对区域综合能源系统运行的影响,该文提出基于相关性多面体集合的综合能源系统鲁棒优化。首先,在传统区间集合的基础上,对新能源出力的不确定参数进行多面体集合建模;然后,针对多面体集合无法准确表述新能源出力的不确定参数之间的时空相关性,通过弯曲多面体集合边界来构建相关性多面体集合模型,进一步建立基于相关性多面体集合的综合能源系统鲁棒优化模型,并采用列与约束(column and constraint generation,C&CG)生成算法对该模型进行求解。最后,算例仿真结果表明:基于相关性多面体集合的综合能源系统鲁棒优化方法通过考虑新能源出力的相关性,可以减少保守性,提高优化结果鲁棒性。

     

    Abstract: To accurately describe the impact of the fluctuation and randomness of renewable energy output on the operation of regional integrated energy system, in this paper we propose a robust optimization of integrated energy systems based on correlated polyhedral sets. Firstly, a polyhedral set modeling is performed on the uncertain parameters of renewable energy output based on the traditional interval set. Subsequently, to address the issue of inability of the polyhedral set in accurately describing the spatiotemporal correlation between the uncertain parameters of renewable energy output, a correlated polyhedral set model is constructed by bending the polyhedral set boundary. In this way, a robust optimization model is established for the integrated energy system based on the correlated polyhedral set, and the column and constraint generation (C&CG) algorithm is employed to solve the model. Finally, the simulation results indicate that the robust optimization method for integrated energy system based on correlated polyhedral sets can effectively mitigate conservatism and enhance the robustness of optimization results by considering the correlation of renewable energy output.

     

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