Nonlinear Structure-Preserving Network Reduction Using Holomorphic Embedding

Yujia Zhu, Daniel Tylavsky, Shruti Rao

Research output: Contribution to journalArticlepeer-review

19 Scopus citations


Network reduction is an effective tool for reducing the complexity of many analysis, design, and optimization problems. However, many of the conventional reduction methods, such as Ward and Radial, Equivalent, Independent are only accurate at the base case. When the operating condition changes, the reduced model does not match the full model performance because linearization is used somewhere in the process. In this paper, a new reduction method that preserves the model's nonlinear structure using the holomorphic embedding (HE) technique is proposed, to generate network reductions which are accurate over a broader range of operating conditions. When applied to the power-flow problem, simulation results show that the proposed method can significantly improve bus-voltage and branch-flow accuracy, matching the full-model power-flow solution exactly when moving along the so-called α line. In addition, the HE reduction is more efficient than traditional methods when calculating nonlinear network solutions under many operating conditions.

Original languageEnglish (US)
Pages (from-to)1926-1935
Number of pages10
JournalIEEE Transactions on Power Systems
Issue number2
StatePublished - Mar 2018


  • AC power flow
  • holomorphic embedding
  • network reduction
  • power system analysis

ASJC Scopus subject areas

  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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