Stability Delay Margin Computation of Microgrid with Superconducting Magnetic Energy Storage using Rekasius Method


Shakor A. M., Ali Z. H., AYASUN S.

8th Global Power, Energy and Communication Conference, GPECOM 2026, Naples, İtalya, 3 - 05 Haziran 2026, ss.770-774, (Tam Metin Bildiri)

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Doi Numarası: 10.1109/gpecom70462.2026.11578759
  • Basıldığı Şehir: Naples
  • Basıldığı Ülke: İtalya
  • Sayfa Sayıları: ss.770-774
  • Anahtar Kelimeler: Microgrids, Rekasius substitution, Resultant theorem, Stablity delay margin, Superconducting magnetic energy storage
  • Gazi Üniversitesi Adresli: Evet

Özet

The widespread deployment of renewable energy sources (RESs) in the power system may affect system frequency oscillations. Frequency fluctuations and time delays caused by communication networks can impair system performance, particularly by leading to instability in the microgrid's operation and affecting the overall reliability of power supply. In order to calculate the stability delay margin (SDM) of an islanded microgrid (MG) with and without superconducting magnetic energy storage (SMES). In this paper, the Rekasius substitution, along with the resultant theorem, is used to determine the exact range of the imaginary spectra and the stability of linear timeinvariant systems with one delay. The exponential term in the Rekasius substitution that causes the time delay is transformed into a quasi-polynomial characteristic equation(CE). After that, the exact range of the imaginary spectra is used to calculate the SDMs. The impact of integrating SMES into the SDM is examined in greater detail. Results indicate that with the implementation of the SMES, SDMs increase by 44.590% - 99.561%. The SDMs are computed using a MATLAB program, and Time-domain simulations with a quasi-polynomial mapping-based root-finding technique (QPmR) are used to verify the theoretical delay margins(DMs).