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access icon free Global asymptotic stability assessment of three-phase inverters with saturation

© The Institution of Engineering and Technology
Received 26/07/2017, Accepted 09/03/2018, Revised 10/01/2018, Published 13/03/2018

Saturation is reported to have a significant influence on the stability of the inverter. In this study, a direct Lyapunov function method to analyse the stability of a three-phase inverter with saturation is presented. The overall model of the three-phase inverter is established and the order of the original model is reduced based on the singular perturbation theory. Then the global asymptotic stability assessments of inverters are transformed into linear matrix inequalities problems that are easy to be solved numerically. Through the analysis of this study, it can be proved that the three-phase inverter based on conventional proportional–integral modulation can achieve global stabilisation. The proportional coefficients of the voltage loop have the greatest influence on the stability of the three-phase inverter. Besides, the saturation also has an important effect on the stability of the inverter. The proposed method has some advantages compared with the small-signal analysis. It can quantify the stability degree of the inverter and explain some non-linear phenomena caused by saturation. Simulation developed in PSCAD demonstrates the effectiveness of this method and the results are compared with the real-time digital simulation results implemented in RT-LAB and hardware results.

Inspec keywords: perturbation theory; invertors; Lyapunov methods; nonlinear control systems; control system synthesis; closed loop systems; PI control; digital simulation; power system CAD; asymptotic stability; linear matrix inequalities; control engineering computing

Other keywords: small-signal analysis; direct Lyapunov function method; saturation; linear matrix inequalities problems; singular perturbation theory; three-phase inverter; digital simulation results; proportional–integral modulation; global asymptotic stability assessment; stability degree; RT-LAB; PSCAD

Subjects: Stability in control theory; Control system analysis and synthesis methods; DC-AC power convertors (invertors); Algebra; Power engineering computing; Algebra; Nonlinear control systems; Control of electric power systems; Control engineering computing; Power system planning and layout

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