Enhancing Stability in Single-Phase PLLs: Incorporation of RoCoF Signal in Virtual Orthogonal Signal Construction

• Published in: IEEE transactions on industrial electronics (1982) Vol. 71; no. 8; pp. 1 - 10
• Main Authors: Abusorrah, Abdullah M., Sepahvand, Hamed
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.08.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Mathematical models; Numerical models; Numerical stability; Orthogonal signal generation (OSG); Phase locked loops; phase-locked loop (PLL); Power system stability; rate of change of frequency (RoCoF); single-phase (1ϕ) systems; Stability; Stability analysis; synchronization systems
• ISSN: 0278-0046; 1557-9948
• DOI: 10.1109/TIE.2023.3317849

Single-phase (<inline-formula><tex-math notation="LaTeX">1\phi</tex-math></inline-formula>) phase-locked loops (PLLs) suffer from an oscillatory, time-periodic nature that contributes to the degradation of their stability. This is primarily due to the lack of two independent input signals, which necessitates generating a virtual orthogonal signal for transferring information to the dq frame. To mitigate this stability issue, this work proposes incorporating a factor of the rate of change of frequency in the construction of the virtual orthogonal input signal in <inline-formula><tex-math notation="LaTeX">1\phi</tex-math></inline-formula> PLLs. The effectiveness of this concept is verified through two case studies on the inverse Park PLL and synthesis circuit PLL.