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access icon free Comparative study on Lyapunov-function-based control schemes for single-phase grid-connected voltage-source inverter with LCL filter

© The Institution of Engineering and Technology
Received 07/06/2016, Accepted 03/07/2017, Revised 17/06/2017, Published 03/07/2017

This study deals with various Lyapunov-function-based control (LFBC) schemes proposed for a single-phase grid-connected voltage source inverter with LCL filter. Use of LCL filter causes resonance which may adversely affect the controller's stability. The conventional (CLFBC) scheme employing the inverter-side current guarantees the asymptotic global stability, but it is not able to damp the resonance. As a remedy to the poor resonance damping, the adoption of grid-current and capacitor-voltage feedback schemes have been investigated. Although the former offers a globally asymptotically stable system, it cannot improve the poor resonance damping. However, the CLFBC with capacitor-voltage feedback scheme not only preserves the global stability, but also improves the resonance damping substantially. The analytical equations of the closed-loop poles for each control scheme are provided which can be used to compute the pole positions and the damping ratio needed for a desired response. Furthermore, the effect of changing controller gains on the loci of closed-loop poles is also studied. Simulation and experimental results obtained from 3.3 kW system demonstrate that the CLFBC with capacitor-voltage feedback scheme not only offers a global stability, but also leads to good quality sinusoidal grid current with reasonable total harmonic distortion and fast dynamic response.

Inspec keywords: power grids; stability; closed loop systems; harmonic distortion; power harmonic filters; Lyapunov methods; voltage-source convertors; invertors; LC circuits; feedback; capacitors

Other keywords: single-phase grid connected voltage-source inverter; total harmonic distortion; LCL filter; closed-loop pole system; power 3.3 kW; grid-current feedback scheme; inverter side current; asymptotic global stability; resonance damping; capacitor-voltage feedback scheme; CLFBC scheme; conventional Lyapunov-function based control scheme; dynamic response

Subjects: Control of electric power systems; Stability in control theory; Power supply quality and harmonics; DC-AC power convertors (invertors); Capacitors; Power electronics, supply and supervisory circuits

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