General method for state‑space modeling and nonlinear control of single‑phase cascaded multilevel inverters with LCL coupling

Hassan Manafi Miralilu; Mahdi Salimi; Jafar Soltani; Adel Akbarimajd

General method for state‑space modeling and nonlinear control of single‑phase cascaded multilevel inverters with LCL coupling

Hassan Manafi Miralilu

Mahdi Salimi

Jafar Soltani

Adel Akbarimajd

Vol. 23, No. 8, pp. 1211-1222, Aug. 2023

10.1007/s43236-023-00658-4

Cascaded multilevel inverter

Abstract

Due to the nonlinear behavior of grid-connected cascaded multilevel inverters (GCCMI), the use of nonlinear controllers can guarantee system stability over a wide range of operation. Therefore, state-space modeling is required to design nonlinear controllers. In this manuscript, a comprehensive method is proposed for the general state-space modeling of an n-level GCCMI with LCL coupling. To validate the accuracy of obtained state-space model, an experimental setup of a cascaded multilevel inverter including two H-bridges has been implemented. The outputs of the state-space model are compared with the simulation and experimental results of the GCCMI. This shows that the proposed model is compatible with a real closedloop system. The simulations were performed using EMTDC/PSCAD software. In the following, the designed general model is used to develop a nonlinear controller based on the Lyapunov stability criteria for a multilevel shunt active power filter (SAPF). Results show that the designed controller is stable and robust in a wide range of operating point changes.

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Cite this article

[IEEE Style]

H. M. Miralilu, M. Salimi, J. Soltani, A. Akbarimajd, "General method for state‑space modeling and nonlinear control of single‑phase cascaded multilevel inverters with LCL coupling," Journal of Power Electronics, vol. 23, no. 8, pp. 1211-1222, 2023. DOI: 10.1007/s43236-023-00658-4.

[ACM Style]

Hassan Manafi Miralilu, Mahdi Salimi, Jafar Soltani, and Adel Akbarimajd. 2023. General method for state‑space modeling and nonlinear control of single‑phase cascaded multilevel inverters with LCL coupling. Journal of Power Electronics, 23, 8, (2023), 1211-1222. DOI: 10.1007/s43236-023-00658-4.