Abstract

This paper proposes an optimal design of closed-loop-controlled grid-tied inverters based on harmonic state space (HSS) modeling. A comprehensive HSS model of the entire closed-loop system is derived, which includes HSS modeling of each component, i.e., abc/dq (dq/abc) transformation, sinusoidal pulse width modulation (SPWM), proportional-integral (PI) controllers, and LCL-filters in a synchronous d-q frame. Based on the HSS model, a high-order of the closed-loop system model (up to switching frequency) is obtained and then used towards an optimal design. With the proposed design framework, system parameters including both circuit and controller parameters are optimized. The obtained parameters can not only minimize the total harmonic distortion (THD) in inverter grid-connected current, but also guarantee that the harmonic spectrum meets the requirements of IEEE standards. Both the holistic HSS model and optimal design framework are implemented, and the simulation results verify the derived model and the proposed optimal design.

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