Uncertainty Tracing of Distributed Generations via Complex Affine Arithmetic Based Unbalanced Three-Phase Power Flow

Shouxiang Wang, Liang Han, Lei Wu

Research output: Contribution to journalArticlepeer-review

94 Scopus citations

Abstract

Variations of load demands and generations bring multiple uncertainties to power system operation. Under this situation, power flows become increasingly uncertain, especially when significant distributed generations (DGs), such as wind and solar, are integrated into power systems. In this paper, a Complex Affine arithmetic based unbalanced Three-phase Forward-Backward Sweep power flow model (CATFBS) is proposed to study the impacts of uncertainties in unbalanced three-phase distribution systems. An index of Relative Influence of Uncertain Variables on Outcomes (RIUVO) is proposed for quantifying the impacts of individual uncertain factors on power flows and bus voltages. The CATFBS method is tested on the modified IEEE 13-bus system and a modified 292-bus system. Numerical results show that the proposed method outperforms the Monte Carlo method for exploring the impacts of uncertainties on the operation of distribution systems. The proposed CATFBS method can be used by power system operators and planners to effectively monitor and control unbalanced distribution systems under various uncertainties.

Original languageEnglish
Article number6987366
Pages (from-to)3053-3062
Number of pages10
JournalIEEE Transactions on Power Systems
Volume30
Issue number6
DOIs
StatePublished - 1 Nov 2015

Keywords

  • Affine arithmetic
  • forward-backward sweep
  • unbalance power flow
  • uncertainty

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