Naveed, AusnainSönmez, ŞahinAyasun, Saffet2022-03-212022-03-212020Naveed, A., Sönmez, Ş., & Ayasun, S. (2021). Impact of load sharing schemes on the stability delay margins computed by Rekasius substitution method in load frequency control system with electric vehicles aggregator. International Transactions on Electrical Energy Systems, 31(5), e12884.https://doi.org/0.1002/2050-7038.12884https://hdl.handle.net/20.500.12899/744The impact of load sharing between the electric vehicles (EVs) aggregator and theconventional generator on stability delay margins in a two-area load frequencycontrol (LFC) system is investigated in this work. A frequency-domain Rekasiussubstitution method is used to compute stability delay margins for different valuesof proportional-integral (PI) controller gains. The proposed method computes com-plex roots on the imaginary axis of the quasi-characteristic equation. The substitu-tion first converts the quasi-characteristic equation of the LFC with EVsaggregator (LFC-EVs) system including delay-dependent exponential terms intoan ordinary polynomial. Then, the Routh–Hurwitz stability method is applied tofind those imaginary roots and the corresponding stability delay margins. Thequalitative impact of different sharing schemes between the conventional genera-tor and EVs aggregator and the impact of EVs gains on stability delay margins arethoroughly analyzed, and the results are validated by time domain simulationsand quasi-polynomial mapping-based root finder algorithm. It is observed that forany given PI controller gains, stability delay margins decrease when the participa-tion of EVs into the frequency regulation increases.eninfo:eu-repo/semantics/closedAccesscommunication delayselectric vehicles aggregatorsfrequency regulationload sharingSchemesPI controllerstability delay marginArticle10.1002/2050-7038.1288431128841182-s2.0-85103419966WOS:000634922900001Q3