Electrical Engineering

, Volume 100, Issue 2, pp 1183–1194

# A dual programmable AC to DC rectifier using three-phase matrix converter topology—analysis aspects

Original Paper

## Abstract

Three-phase matrix converter-based dual AC to DC rectifier is reported in the literature. But these reports only indicate that dual DC output voltages with fixed value are possible by setting the desired AC output voltage phase angle leading by 30 degrees and output frequency zero in the model. Detailed modeling studies using SIMULINK reveal that with the frequency of desired AC output voltage set to zero, as the AC output voltage phase angle is varied from 0 to +$$\pi$$ and 0 to $$-\pi$$, dual DC output voltages in multitude of combinations are possible such as (a) both voltages positive and unequal, (b) both voltages positive and equal, (c) any one voltage zero and the other positive, (d) any one voltage positive and the other negative with unequal modulus value, (e) any one voltage positive and the other negative with equal modulus value, (f) any one voltage zero and the other negative, (g) both voltages negative and unequal, (h) both voltages negative and equal. This paper provides a detailed insight into this finding with a mathematical derivation for the dual DC output voltage magnitude. Theoretical finding is confirmed by model simulation.

## Keywords

Matrix converter Dual AC to DC rectifier SIMULINK model Alesina-Venturini algorithm Programmable rectifier

## References

1. 1.
Wheeler P, Rodriguez J, Clare JC, Empringham Lee (2002) Matrix converters: a technology review. IEEE Trans Ind Electron 49(2):276–288Google Scholar
2. 2.
Wheeler P, Clare J, Empringham L, Apap M, Bland M (2002) Matrix converters. Power Eng J 16:273–282
3. 3.
Holmes DG, Lipo TA (1989) Implementation of a controlled rectifier using AC–AC matrix converter theory. In: IEEE-PESC, pp 353–359Google Scholar
4. 4.
Holmes DG, Lipo TA (1992) Implementation of a controlled rectifier using AC–AC matrix converter theory. IEEE Trans Power Electron 7(1):240–250
5. 5.
Huseinbegovic S, Tanovic O (2010) Matrix converter based AC/DC rectifier. In: IEEE-SIBIRCON II, pp 653–658Google Scholar
6. 6.
Alesina A, Venturini M (1988) Intrinsic amplitude limits and optimum design of 9-switches direct PWM AC–AC converters. In: IEEE-PESC, pp 1284–1291Google Scholar
7. 7.
Alesina A, Venturini M (1989) Analysis and design of optimum-amplitude nine-switch direct AC–AC converters. IEEE Trans Power Electron 4(1):101–112
8. 8.
Mathworks Inc (2009) www.mathworks.com: MATLAB/SIMULINK Users’ Manual
9. 9.
Narayanaswamy P R Iyer (2012) Modelling, simulation and real time implementation of a three phase AC to AC matrix converter. PhD Thesis, Curtin University, Perth, WA, Australia, Ch. 10 and Ch. 14Google Scholar