Journal
IEEE TRANSACTIONS ON POWER ELECTRONICS
Volume 37, Issue 5, Pages 5062-5077Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TPEL.2021.3125743
Keywords
Frequency-locked loop (FLL); linear time-periodic (LTP); modeling; phase-locked loop (PLL); single-phase systems; synchronization
Categories
Funding
- Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah [FP-178-43]
- VILLUM FONDEN [25920]
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This article presents the application of the multi-SOGI structure in frequency estimation and signal decomposition. Linear time-periodic models are proposed for the MSOGI-FLL and MSOGI-PLL, and their stability is evaluated. Additionally, several variants of the MSOGI-FLL/PLL are discussed.
A second-order generalized integrator (SOGI) is a resonant regulator with a pair of complex-conjugate poles, and therefore, with infinite magnitude at its center frequency. Thanks to this property, one can put together a set of m SOGIs in an elegant way and decompose a single-phase signal into its constituent frequency components and detect their amplitude and phase angle. Such a configuration, which is often referred to as the multi-SOGI (MSOGI) structure, requires a frequency estimator to adapt the center frequency of SOGIs to frequency changes. This frequency estimation is often provided by interconnecting the MSOGI structure with a basic frequency-locked loop (FLL) or phase-locked loop (PLL). The resulting structures are known as the MSOGI-FLL and MSOGI-PLL. These structures and their close variants are mathematically difficult to analyze probably because of the lack of a linear model for these systems. This article aims to bridge this research gap. First, it is shown how linear time-periodic (LTP) models of the MSOGI-FLL and MSOGI-PLL can be obtained. The model verification, obtaining open-loop harmonic transfer function from the LTP model, and LTP stability assessment of MSOGI-based synchronization systems are the next parts of this article. Finally, some close variants of the MSOGI-FLL/PLL are considered and their modeling and stability assessment are briefly discussed.
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