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The large-scale integration of renewable energy sources has substantially increased uncertainties within power systems, rendering conventional deterministic power flow methodologies inadequate. Uncertainty power flow analysis has become paramount for ensuring stable, reliable, and economical system operation. Based on fundamental mathematical distinctions, this paper conducts a comparative analysis of the input-output characteristics and application scenarios of probabilistic power flow (PPF), interval power flow (IPF) and fuzzy power flow (FPF) approaches. The analysis reveals that these three methodologies exhibit distinct input-output behaviors while demonstrating overlapping yet distinct applicability advantages. Subsequently, by reviewing current research domestically and internationally, we synthesize core challenges and advancements for each method, further exploring the necessity and potential of hybrid power flow (HPF) techniques. Finally, building upon the synthesized findings, we dissect critical challenges confronting contemporary uncertainty power flow analysis across modeling frameworks, computational algorithms, and practical implementation.

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A Comprehensive Review of Three Paradigms in Uncertain Power Flow Computation: Advances in Fuzzy, Interval, and Probabilistic Methodologies

  • 会议论文

  • 发表日期：

    2026年

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  • Yan Juan,
  • Wang Chao,
  • Zhu Mingxing,
  • Cao Wenping

摘要

The large-scale integration of renewable energy sources has substantially increased uncertainties within power systems, rendering conventional deterministic power flow methodologies inadequate. Uncertainty power flow analysis has become paramount for ensuring stable, reliable, and economical system operation. Based on fundamental mathematical distinctions, this paper conducts a comparative analysis of the input-output characteristics and application scenarios of probabilistic power flow (PPF), interval power flow (IPF) and fuzzy power flow (FPF) approaches. The analysis reveals that these three methodologies exhibit distinct input-output behaviors while demonstrating overlapping yet distinct applicability advantages. Subsequently, by reviewing current research domestically and internationally, we synthesize core challenges and advancements for each method, further exploring the necessity and potential of hybrid power flow (HPF) techniques. Finally, building upon the synthesized findings, we dissect critical challenges confronting contemporary uncertainty power flow analysis across modeling frameworks, computational algorithms, and practical implementation.