Implementation of single-phase modified SRF-PLL using model based development approach

Advanced Single-Phase PLL-Based Transfer Delay Operators: A Comprehensive Review and Optimal Loop Filter Design

“…The comparisons indicated that the LQR-based ing method achieved a faster dynamic response without overshoot and phase offset. The approximated closed-loop transfer function can be represented as in (33), whe the 𝐷(𝑠) represent the second-order function:…”

“…From Equation (33), it is easy to see that the PLL poles can be selected by tuning t parameter of the PI controller (𝑘 𝑝 , 𝑘 𝑖 ) and the cutoff frequency of the lowpass filter 𝜔 The 𝜔 𝑓 value is selected based on the expected noise and harmonics in the system. Figure 12, the effectiveness of this modification is tested under a +10 Hz frequency jum at 0.02 s and compared with the standard TD-PLL.…”

“…where V im (t) = − v i (t) 2 sin θ and v i (t) = cos(θ). The approximated closed-loop transfer function can be represented as in (33), where the D(s) represent the second-order function:…”

“…From Equation (33), it is easy to see that the PLL poles can be selected by tuning the parameter of the PI controller ( k p , k i and the cutoff frequency of the lowpass filter ω f . The ω f value is selected based on the expected noise and harmonics in the system.…”

“…Figure 1 shows the general structure of a 1-ϕ synchronous reference frame (SRF)-based PLL. The PD is the element that distinguishes one PLL from another [33]. Quadrature signal generator (QSG)-PLLs are more popular than power-based PLLs (pPLLs) in applications involving power electronics and power systems due to their simple implementation and robust performance against existing disturbances [34][35][36][37].…”