基于哈尔小波配点法的虚拟同步化电网动态仿真方法  

Dynamic Simulation Method of Virtual Synchronized Power Grid Based on Haar Wavelet Collocation Method

作　　者：周一辰[1] 王书祥 李永刚[1] 孙佳辉 彭咏龙[1] 李亚斌[1] ZHOU Yichen;WANG Shuxiang;LI Yonggang;SUN Jiahui;PENG Yonglong;LI Yabin(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources(North China Electric Power University),Baoding 071003,Hebei Province,China)

机构地区：[1]新能源电力系统国家重点实验室(华北电力大学),河北省保定市071003

出　　处：《中国电机工程学报》2023年第16期6218-6232,共15页Proceedings of the CSEE

基　　金：中央高校基本科研业务费专项资金(2022MS067);河北省自然科学基金项目(E2020502067);现代电力系统仿真控制与绿色电能新技术教育部重点实验室项目(MPSS2022-06)。

摘　　要：虚拟同步化电网中多元设备间惯量差异明显、多尺度特征突出,传统动态仿真方法对多尺度特性的适应性存在不足。该文提出一种基于哈尔小波配点法的仿真方法用于虚拟同步化电网系统的动态仿真。首先揭示虚拟同步化电网系统的多尺度特征,分析传统仿真方法在多尺度系统仿真中的局限性。然后,介绍小波配点法的基本原理,建立基于哈尔小波表征的虚拟同步化电网多尺度模型,通过构造积分步内的插值配点,提出基于小波配点法的仿真求解方法。而后,详细分析该方法的时间复杂度和误差累积特性,为了提升仿真效率,进一步提出多层次自适应与多区间自适应的仿真策略,构建了优化的哈尔小波配点法动态仿真计算流程。最后,基于不同规模虚拟同步化电网算例,将哈尔小波配点法与传统商用仿真算法进行对比分析。结果表明,所提方法准确可靠,具备高阶精度、快速仿真能力,可以实现多尺度虚拟同步化电网的大步长仿真。In the virtual synchronized power grid,the inertia difference among devices is obvious,and the multi-scale characteristics are prominent,which cannot be handled well by traditional simulation methods.This paper proposes a simulation method based on Haar wavelet collocation method for dynamic simulation of virtual synchronized power grid system.First,multi-scale characteristics of the virtual synchronized power grid are revealed and limitations of traditional simulation methods in multi-scale system simulation are analyzed.Then,basic knowledge of wavelet collocation method is introduced to establish the wavelet-form multi-scale simulation model for the virtual synchronized power grid,which is then solved by the Haar wavelet collocation method by constructing the interpolation points within integration steps.Moreover,time complexity and cumulative error of the method are analyzed.In order to improve the simulation efficiency,a multi-level and multi-interval adaptation simulation strategy is further proposed,and the calculation process for the optimized Haar wavelet collocation dynamic simulation is provided.Finally,using virtual synchronized power grids of different scales,the proposed method is compared with traditional commercial simulation algorithms.Results show that the proposed method is accurate and reliable with high-order precision and fast simulation speed,which can realize large-step simulations for the multi-scale virtual synchronized power grid.

关 键 词：虚拟同步化电网 哈尔小波配点 多尺度特性 大步长仿真 高阶精度 

分 类 号：TM71[电气工程—电力系统及自动化]