Three-phase phase-locked loop algorithm and application to a static synchronous compensator

Fonseca, Jean M. L.; Lima, Francisco Kleber de Araújo; Tofoli, Fernando Lessa; Branco, G.C.

doi:10.1016/j.epsr.2020.106924

Cited by 5 publications

(4 citation statements)

References 32 publications

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“…In reference [15], a C-type SOGI is proposed, as shown in Figure 5, where the central angular frequency is fed back by the angular frequency ω g of the Kalman filter PLL. e time-domain equation of C-type SOGI is shown in the following equation.…”

Section: Structure Of C-type Sogimentioning

confidence: 99%

“…Different SOGIs with different structures are applied to PLL, and different results can be obtained under different supply voltages [12][13][14]. e literature [15] proposed three kinds of SOGIs with different structures and applied them to the common three-phase synchronous coordinate PLL. e authors gained different results of phase locking and different adaptability to the power grid when the three-phase input voltage was the constant frequency and the threephase input voltage contained harmonics, subharmonics, and interharmonics.…”

Section: Introductionmentioning

confidence: 99%

“…Here, based on the linear Kalman filter PLL, the intelligent sensor is used to process the AC voltage in the frequency conversion power supply, and SOGIs of different structures mentioned in reference [15] are added. e central angular frequency of the SOGI is obtained by feedback from the linear Kalman filter PLL.…”

Section: Introductionmentioning

confidence: 99%

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Comparative Analysis of Three Structures of Second-Order Generalized Integrator and Its Application to Phase-Locked Loop of Linear Kalman Filter

Zeng

Yan

Xie

2022

Wireless Communications and Mobile Computing

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The present work explores the power quality problems of a microgrid in the aviation field, such as frequency offset or waveform distortion, caused by voltage imbalance and nonlinear load, to ensure the efficient and stable flight of aircraft, unmanned aerial vehicles, and other aircraft. There are many problems such as excessive harmonics, voltage imbalance, and direct current (DC) component in aviation variable frequency power supply voltage in microgrid under different conditions. Therefore, three kinds of second-order generalized integrators (SOGIs) with different structures are combined with linear Kalman filter phase-locked loops (PLLs). Besides, intelligent sensors are utilized for signal processing. Finally, simulation experiments are conducted to compare three SOGIs. The results show that the system is stable when the parameters k1 = 738.9553, k2 = 1092108.98405, k3 = 1477.91, and Ts = 0.000125 s and k ranges in [0.5, 3]. The angular frequency of PLL output is very low under the problems of many harmonics, three-phase voltage imbalance, and DC component ω g . The angular frequency ω g output by the PLL finally changes linearly with a change rate of 400 πrad/s2, so that the output phase angle θ g reaches a stable state. Thus, the proposed steady-state linear Kalman filter phase locking can accurately phase-lock the aviation variable frequency power supply. It provides an important reference for the power supply module in the microgrid to select the appropriate second-order generalized integrator to realize the accurate phase locking of the phase-locked loop under different conditions.

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Section: Structure Of C-type Sogimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Comparative Analysis of Three Structures of Second-Order Generalized Integrator and Its Application to Phase-Locked Loop of Linear Kalman Filter

Zeng

Yan

Xie

2022

Wireless Communications and Mobile Computing

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“…In [27], the authors have proposed a PI control for parallel operation among D-STATCOMs for the reactive power-sharing, and to compensate the harmonics resulting from the non-linear load. The authors in [28], have proposed a PI control by utilizing the PLL algorithm for a D-STATCOM to enhance the power factor and dc voltage regulation. In [29], the authors have proposed a multi-level CHB D-STATCOM via PI control to enhance the power factor by eliminating the harmonics and the switching losses.…”

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confidence: 99%

Analysis of Fractional Order Sliding Mode Control in a D-STATCOM Integrated Power Distribution System

et al. 2021

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At present, the disturbances like the voltage fluctuations, resulting from the grid's complexities and unbalanced load conditions, create severe power quality concerns like total harmonic distortion (THD) and voltage unbalance factor (VUF) of the grid voltage. Though the custom power devices such as distribution-static compensators (D-STATCOMs) improve these power quality concerns, however, the accompanying controller plays the substantial role. Therefore, this paper proposes a fractional-order sliding mode control (FOSMC) for a D-STATCOM to compensate the low power distribution system by injecting/absorbing a specific extent of the reactive power under disturbances. FOSMC is a non-linear robust control in which the sliding surface is designed by using the Riemann-Liouville (RL) function and the chattering phenomenon is minimized by using the exponential reaching law. The stability of FOSMC is evidenced by employing the Lyapunov stability criteria. Moreover, the performance of the proposed FOSMC is further accessed while doing its parametric variations. The complete system is demonstrated with a model of 400V, 180kVA radial distributor along with D-STATCOM under two test scenarios in MATLAB/Simulink environment. The results of the proposed controller are compared with the fixed frequency sliding mode control (FFSMC) and conventional proportional-integral (PI) control. The results validate the superiority of the proposed controller in terms of rapid tracking, fast convergence, and overall damping with very low THD and VUF.

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Unified variable regularization factor based static compensator for power quality enhancement in distribution grid

Sharma

Sundarabalan

Balasundar³

et al. 2023

Electric Power Systems Research

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Three-phase phase-locked loop algorithm and application to a static synchronous compensator

Cited by 5 publications

References 32 publications

Comparative Analysis of Three Structures of Second-Order Generalized Integrator and Its Application to Phase-Locked Loop of Linear Kalman Filter

Comparative Analysis of Three Structures of Second-Order Generalized Integrator and Its Application to Phase-Locked Loop of Linear Kalman Filter

Analysis of Fractional Order Sliding Mode Control in a D-STATCOM Integrated Power Distribution System

Unified variable regularization factor based static compensator for power quality enhancement in distribution grid

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