Nonlinear Stability Analysis of the Classical Nested PI Control of Voltage Sourced Inverters

Nima Monshizadeh*, Fernando Mancilla-David, Romeo Ortega, Rafael Cisneros

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

2 Citations (Scopus)
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This note provides the first nonlinear analysis of the industry standard "partial decoupling plus nested PI loops" control of voltage sourced inverters. In spite of its enormous popularity, to date only linearization-based tools are available to carry out the analysis, which are unable to deal with large-signal stability and fail to provide estimates of the domain of attraction of the desired equilibrium. Instrumental to establish our result is the representation of the closed-loop dynamics in a suitable Lure-like representation, that is, a forward system in closed-loop with a static nonlinearity. The stability analysis is then done by generating an adequate Popov multiplier. Comparison with respect to linearization is discussed together with numerical results demonstrating non-conservativeness of the proposed conditions.

Original languageEnglish
Pages (from-to)1442-1447
Number of pages6
JournalIEEE Control Systems Letters
Publication statusPublished - 2022


  • Voltage control
  • Power system stability
  • Numerical stability
  • Inverters
  • Stability criteria
  • Nonlinear dynamical systems
  • Modulation
  • Voltage sourced inverters
  • Lyapunov analysis
  • nested PI

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