Abstract

This work introduces a new method for computing the angular position of the voltage of the grid—based on a finite set of angles—in the condition of failures in the distribution systems, as symmetrical and asymmetric voltage sags, unbalance, harmonic distortions, and frequency changes. This method is inspired in the model predictive control finite control set principles. In this way, the proposal employs the One-Cycle Fourier filter (OCF) to estimate the positive sequence of the voltage vector into the stationary αβ-frame. The positive sequence voltages extracted from this filter is then handled by an algorithm that is implemented by a finite position set (FPS) for estimating the phase angle. In this way, the minimized cost function chooses the optimal angular position while using the predicted behavior of the grid voltage vector elements in dq frame. The structure, called One-Cycle Fourier Finite position Set Phase Locked Loop (OCF-FS-PLL), here is a composition of the OCF and the FPS. The results that were obtained in an experimental test bench validate the proposed method.

Highlights

  • One of the common uses of Phase-Locked Loop (PLL) is for the grid synchronization.Its application is essential and widely used in grid-connected power converters, such as distributed generation, static synchronous compensators, uninterrupted power supplies, and active power filters

  • The evaluation of the proposed one-cycle Fourier filter (OCF)-Finite Set (FS)-PLL performance in a experimental bench depicted in Figure 4 was built using programmable power source connected to a threephase restive load, digital signal processor (DSP) from Texas Instruments TMS 320F28335 and electronic boards for signal conditioning and data acquisition of voltage signals to interface with the TMS 320F28335 DSP

  • In order to evaluate the behavior of the OCF-finite position set (FPS)-PLL proposed, four different scenarios were generated and compared with the strategy dual second order generalized integrator (DSOGI)-PLL. (1) The voltage sag had a reduction in peak value of the voltage in 0.5 p.u. in two phases of the three ones, where v a = 1 p.u., vb = 0.5 p.u., and vc = 0.5 p.u. (2) balanced grid voltage sag of 50% under the presence of the 5th harmonic with 14% of the rated voltage. (3) balanced grid voltage distorted by 5th, 7th, 11th, 13th, 17th, and 19th harmonics components (4) balanced grid voltage with frequency deviation from 60 to 65 Hz

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Summary

Introduction

One of the common uses of Phase-Locked Loop (PLL) is for the grid synchronization. Its application is essential and widely used in grid-connected power converters, such as distributed generation, static synchronous compensators, uninterrupted power supplies, and active power filters. [21], a one cycle Fourier PLL (OCF-PLL) is presented This method employs the OCF to estimate positive sequence of the voltage of the grid that feeds the SRF-PLL; even the voltage has distortions caused by harmonics and DC elements. OCF-PLL implementation fixes the frequency adaptability that is present in DSC-PLL and the DSOGI-PLL, providing adaptability in the case of frequency deviations This implementation is able to reject DC components of the voltages and with the capability to filter harmonics of different orders. Energies 2021, 14, 1824 systems as symmetrical and asymmetric voltage sags, unbalance, harmonic distortions, and frequency changes In this way, the proposal employs the one-cycle Fourier filter (OCF) in order to estimate the positive sequence of the voltage vector into the stationary αβ-frame.

System Description—One-Cycle Fourier Finite Set Predictive Control PLL
One-Cycle Fourier Algorithm
Finite Position Set
Experimental Results
Unbalanced Voltage with Sag in Two Phases
Balanced Grid Voltage Sag under the Presence of 5th Harmonic
Balanced Grid Voltage with Frequency Deviation
Conclusions
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