Robust Direct Control of Voltage Amplitude and Phase Angle for Grid-Forming Inverters


Bouzidi M., Kouzou A., Bayhan S., Abu-Rub H.

IEEE Journal of Emerging and Selected Topics in Industrial Electronics, cilt.7, sa.4, ss.1710-1722, 2026 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1109/jestie.2026.3722743
  • Dergi Adı: IEEE Journal of Emerging and Selected Topics in Industrial Electronics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.1710-1722
  • Anahtar Kelimeler: Amplitude–angle modeling, direct amplitude- angle control, grid-forming inverter (GFM), nonlinear control, super-twisting sliding mode control (ST-SMC)
  • Gazi Üniversitesi Adresli: Evet

Özet

Grid-forming inverters (GFMs) play a key role in ensuring stable operation of low-inertia and weak-grid systems. However, conventional control strategies based on dq/αβ cascaded loops suffer from performance limitations under large-signal disturbances and nonlinear operating conditions. This article proposes a novel amplitude–angle-based modeling and control framework for GFMs, where the inverter dynamics are directly expressed in terms of output voltage amplitude and phase angle, avoiding the conventional synchronous dq-frame transformation and cascaded voltage–current control loops. Based on this formulation, a super-twisting sliding mode controller is designed to directly regulate voltage amplitude and phase angle, ensuring strong robustness against parameter variations, nonlinearities, and grid disturbances. Experimental results for single and two-GFM islanded systems are carried out to demonstrate fast dynamic response, effective power-sharing performance, and robustness under parameter variations and large voltage/frequency reference changes. Furthermore, the proposed amplitude–angle formulation is intended to provide a general framework for the systematic design of advanced nonlinear control strategies for GFMs.