Precision power quality control in grid-integrated microgrid via matrix pencil technique

This manuscript presents a Matrix Pencil-based Energy Management Control (MPEMC) approach to improve power quality (PQ) and power flow in grid-integrated solar PV systems. The proposed method combines a non-linear dynamic load-based shunt active power filter (SAPF) model with an incremental conductance-based optimal power tracking control (OPTC) algorithm, enhancing PV system efficiency by 4%, increasing output from 96 kW to 100 kW under varying solar irradiance. A logarithmic encoder-based DC-link voltage controller stabilizes the DC-link voltage with an error reduction time of less than 0.12 s, ensuring rapid adaptation to dynamic load variations. To show the proposed controller significance, the outcomes of the proposed approach is compared with the most preferable methods as Discrete Fourier Transform (DFT)based EMC (DFT-EMC) and TS-Fuzzy-EMC controllers. Compared with the above controllers, the SVD-MPEMC achieves 10–25% faster settling times, 10–15% lower peak overshoot, and narrower settling ranges, ensuring high response consistency with minimal oscillations. In addition to that, using singular value decomposition (SVD), the MP method effectively decomposes non-linearities and reduces average Total Harmonic Distortion (THD) to 2.02%, surpassing the DFT method (5.11%) and uncompensated system outcomes (38.89%). The above findings are validated through both simulations and hardware validation on a Spartan-6 FPGA-based PV-microgrid based platform. These enhancements are particularly evident in grid active and reactive power stabilization and DC-link voltage regulation, where SVD-MPEMC consistently outperforms alternative methods. Its compliance with IEEE-519 standards and superior performance metrics establish it as a transformative solution for renewable energy integration and real-time grid applications.