Computation of stability delay margin of load frequency control system with virtual inertia and damping control using Rekasius substitution


Shakor A. M., AYASUN S.

Sadhana - Academy Proceedings in Engineering Sciences, cilt.51, sa.4, 2026 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 4
  • Basım Tarihi: 2026
  • Doi Numarası: 10.1007/s12046-026-03408-x
  • Dergi Adı: Sadhana - Academy Proceedings in Engineering Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Compendex, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO), Materials Science & Engineering Collection (ProQuest), Technology Collection (ProQuest)
  • Anahtar Kelimeler: Microgrids, Rekasius substitution, Resultant theory, Stability delay margin, VID
  • Gazi Üniversitesi Adresli: Evet

Özet

With the extensive utilization of distributed renewable energy sources (RESs), the frequency control in microgrids (MGs) has become a challenging task due to inadequate inertia and damping. Moreover, the control and coordination of these sources require the use of a communication network (CN) that induces time delays (TDs). TDs lead to less efficient operation of the controller and can even destabilize the microgrid if they exceed a permissible delay, known as the stability delay margin (SDM). This study examines the delay-dependent stability (DDS) of an islanded MG, including a virtual inertia and damping (VID) control loop. An analytical method, Rekasius substitution (RS) with Resultant Theory, is proposed to compute SDM. The impact of the integration of VID control on the SDM has been further examined. The results indicate that implementing VID control increases SDMs by 59.22% to 96.32%. Incorporating VID improves the frequency stability of MGs.