Improvement and Comparison of Single-Phase Frequency Locked Loops Based on Second Order Generalized Integrator

doi:10.11930/j.issn.1004-9649.202406102

Abstract

Abstract:

It is required for grid-connected converters to obtain synchronous information quickly and accurately when a short-circuit fault occurs in the grid. Compared with the phase locked loop (PLL), the second order generalized integrator (SOGI)-frequency locked loop (FLL) promises faster detection of the phase, amplitude and frequency of the grid voltage, but becomes susceptible to the effect of a direct current (DC) offset. Modified schemes based on the suppression method and the filtering method have drawback of slower response. A modified scheme based on the subtraction method is proposed with an addition of a SOGI block in the FLL. The basic scheme based on SOGI-FLL, the modified scheme based on the suppression method and the proposed scheme based on the subtraction method are analyzed and compared by transfer functions theoretically and simulations of PSCAD commercial software. Comparison results illustrate that the subtraction-based scheme promises faster detection of the phase, amplitude and frequency of the grid voltage, and better suppression of the DC offset and low frequency components. Taking account of respective transient and steady-state response characteristics, the subtraction-based scheme has the best comprehensive properties.

Key words: second order generalized integrator, frequency-locked loop, phase-locked loop, synchronization, DC offset, suppression method, subtraction method

Chaobo DAI, Guoliang ZHAO, Zhichang YANG, Jingxin CUI. Improvement and Comparison of Single-Phase Frequency Locked Loops Based on Second Order Generalized Integrator[J]. Electric Power, 2025, 58(1): 61-69.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202406102

https://www.electricpower.com.cn/EN/Y2025/V58/I1/61

Figures/Tables 13

Fig.1 Scheme based on SOGI-FLL

Fig.2 Modified scheme based on the suppression method

Fig.3 Modified scheme based on the subtraction method

Fig.4 Root locus of Δ(s) versus k0

Fig.5 Bode curves of D(s)

Fig.6 Bode curves plot of quadrature component

Fig.7 Step-change response of DC component

Fig.8 amplitude step responses of three schemes

Fig.9 initial angle step responses of three schemes

Fig.10 frequency step responses of three schemes

Fig.11 DC component step responses of three schemes

Fig.12 Steady response of three schemes with low frequency component

Fig.13 Steady response of three schemes with harmonics

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