I. Introduction
The power generation system is relatively sensitive to harmonic interferences, frequency variations, electrical load variations and unbalanced generating voltage with single-phase or three-phase DC offsets [1]. So, many phase-locked loop (PLL) algorithms are proposed to accurately measure the phase, DC offsets, amp litudes, and frequency of the AC signals in real-time. The single-phase PLL based on construction of virtual two-phase from a delay method is one PLL algorithm for single-phase grid voltage, but this algorithm is limited by periodic delay and slow dynamic response [2]. The single-phase PLL algorithm based on Park inverse transformation is limited by filter design difficulty, and slow response under voltage unbalance [3]–[4]. For three-phase AC signals, the phase of positive-sequence voltage components contains 2-order harmonic waves in a single synchronous reference frame SPLL (SSRF-SPLL) when the three-phase voltage imbalance occurs [5]. The SSRF-SPLL based on symmetrical component method is not very frequency-flexible [6]–[7].