使用Adomian分解法进行随机电力系统仿真
Stochastic Power System Simulation Using the Adomian Decomposition Method
AI总结：
本文提出了一种随机仿真方法，用于分析具有随机负载的电力系统稳定性。该方法通过Adomian分解法解析地求解系统的随机非线性微分方程模型，生成半解析解，明确表达确定性和随机性状态变量，并直接嵌入随机过程以实现高效稳定性分析。
摘要：
考虑到智能电网中分布式能源资源和响应负载的增加，本文提出了一种用于分析具有随机负载的电力系统稳定性的随机仿真方法。所提出的方法通过Adomian分解法以解析方式求解系统的随机非线性微分方程模型，并生成半解析解，明确表达确定性和随机性状态变量作为符号变量，从而直接将随机过程嵌入解中，以实现高效稳定性分析。所提出的方法在具有不同随机负载渗透率的纽约10机39节点系统上进行了测试，并与基于Euler-Maruyama方法的传统随机仿真方法进行了基准测试。结果表明，新方法在时间性能上更好，且在准确性上具有可比性。
英文摘要：
Considering increasing distributed energy resources and responsive loads in smart grid, this paper proposes a stochastic simulation approach for stability analysis of a power system having stochastic loads. The proposed approach solves a stochastic, nonlinear differential equation model of the system in an analytical way by the Adomian decomposition method and generates semi-analytical solutions that express both deterministic and stochastic state variables explicitly as symbolic variables so as to embed stochastic processes directly into the solutions for efficient stability analysis with uncertainties. The proposed approach is tested on the New England 10-machine 39-bus system with different penetration levels of stochastic loads. The approach is also benchmarked with a traditional stochastic simulation approach based on the Euler-Maruyama method. The results show that the new approach has better time performance and a comparable accuracy.
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