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Efficient Probabilistic Optimal Power Flow Assessment Using an Adaptive Stochastic Spectral Embedding Surrogate Model

2024/01/19 by Xiaoting Wang, Jingyu Liu, Wang, Xiaoting +3
Decision Sciences · Engineering · #Energy Load and Power Forecasting #FOS: Electrical engineering #Optimal Power Flow Distribution #Probabilistic and Robust Engineering Design #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2401.10498

openalex publication_date 2024/01/19 · openalex created_date 2024/01/23 · openalex updated_date 2026/07/28

Abstract

This paper presents an adaptive stochastic spectral embedding (ASSE) method to solve the probabilistic AC optimal power flow (AC-OPF), a critical aspect of power system operation. The proposed method can efficiently and accurately estimate the probabilistic characteristics of AC-OPF solutions. An adaptive domain partition strategy and expansion coefficient calculation algorithm are integrated to enhance its performance. Numerical studies on a 9-bus system demonstrate that the proposed ASSE method offers accurate and fast evaluations compared to the Monte Carlo simulations. A comparison with a sparse polynomial chaos expansion method, an existing surrogate model, further demonstrates its efficacy in accurately assessing the responses with strongly local behaviors.

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