A Fast Power Calculation Algorithm for Three-Phase Droop-Controlled-Inverters Using Combined SOGI Filters and Considering Nonlinear Loads

Mingshen Li, Jose Matas (), Jorge El Mariachet, Carlos Gustavo C. Branco and Josep M. Guerrero
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Mingshen Li: Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain
Jose Matas: Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain
Jorge El Mariachet: Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain
Carlos Gustavo C. Branco: Electric Engineering Department, Politechnic University of Catalonia (EEBE-UPC), 08019 Barcelona, Spain
Josep M. Guerrero: Energy Teknik Department, Aalborg University (ET-AAU), 9220 Aalborg, Denmark

Energies, 2022, vol. 15, issue 19, 1-16

Abstract: The power calculation is an indispensable element in droop-controlled inverters because the bandwidth of the measured power has a direct impact on the controller performance. This paper proposes a fast and accurate power calculation algorithm based on the combined Second Order Generalized Integrator (SOGI) filters in stationary coordinates for a three-phase system, which takes into consideration the use of nonlinear loads. The power calculation scheme is formed by the two-stage SOGI filters that are employed for obtaining the active and reactive powers required to perform a droop-based inverter operation, respectively. From the two-stage structure, the first SOGI is used as a band-pass filter (BPF) for filtering harmonics and obtaining the fundamental current of the nonlinear load; The second SOGI is used as a low-pass filter (LPF) for extracting the DC-component, which corresponds with the average power. A small-signal model of a two droop-controlled inverters system is built to obtain the dynamical response and stability margin of the system. And compared it with the dynamical behaviour of a standard droop-control method. Next, the proposed power calculation system is designed in order to achieve the same ripple amplitude voltage as that obtained with the standard droop-control method by adjusting the bandwidth gains. Through simulation and hardware in the loop (HIL) validation, the proposed approach presents a faster and more accurate performance when sharing nonlinear loads, and also drives the inverters’ output voltage with lower distortion.

Keywords: three-phase paralleled inverters; averaged power calculation; droop-control; SOGI filter; small-signal model; nonlinear loads (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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