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Analysis of the single-phase four-quadrant PWM converter resulting in steady-state and small-signal dynamic models

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3 Author(s)
J. Carter ; Sch. of Electron. & Electr. Eng., Birmingham Univ., UK ; C. J. Goodman ; H. Zelaya

The paper describes a mathematical model for a single-phase four-quadrant PWM power converter. The model is derived from the averaged state-equations of the power converter and is applicable to both the two-level and three-level H-bridge topologies. So that classical control design techniques can be used, the model is required to be linear and time-invariant. To overcome the time-variant nature of the system, a new substitution method is developed. The analysis results in separate steady-state and linearised small-signal descriptions. The steady-state model aids design of the converter power circuit. The small-signal model provides a basis for quantitative control design. It demonstrates that the power converter is essentially a two-input two-output system with cross-coupling between the inputs and outputs. The work is verified by results from simulation and from a laboratory test-rig

Published in:

IEE Proceedings - Electric Power Applications  (Volume:144 ,  Issue: 4 )