Research Article
A Single-Phase Buck-Boost Matrix Converter with Low Switching Stresses
Table 2
Harmonic analysis for variable frequency operation with duty ratio of 0.2.
| Harm. Order. | = 25 Hz | = 75 Hz | = 100 Hz | = 150 Hz | Mathematical Values | Simulated Values | Mathematical Values | Simulated Values | Mathematical Values | Simulated Values | Mathematical Values | Simulated Values | Mag. | Phase Angle | Mag. | Phase Angle | Mag. | Phase Angle | Mag. | Phase Angle | Mag. | Phase Angle | Mag. | Phase Angle | Mag. | Phase Angle | Mag. | Phase Angle |
| 1 | 54.97 | 0 | 54.87 | 0 | 15.39 | 0 | 15.51 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 14.18 | 180 | 14.18 | 180 |
| 3 | 33.10 | 0 | 33.10 | 0 | 52.90 | 0 | 52.90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 54.17 | 0 | 54.17 | 0 | 0 | 0 | 0 | 0 |
| 5 | 7.88 | 180 | 7.88 | 180 | 2.35 | 180 | 2.36 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 53.75 | 0 | 53.75 | 0 |
| 7 | 3.67 | 0 | 3.67 | 0 | 18.01 | 180 | 18.01 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 8 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 22.06 | 180 | 22.07 | 180 | 0 | 0 | 0 | 0 |
| 9 | 2.14 | 180 | 2.15 | 180 | 18.90 | 0 | 18.90 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 10 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 17.91 | 180 | 17.91 | 180 |
| 11 | 1.41 | 0 | 1.41 | 0 | 6.92 | 180 | 6.93 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 12 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 14.18 | 0 | 14.19 | 0 | 0 | 0 | 0 | 0 |
| 13 | 1.0 | 180 | 1.0 | 180 | 5.51 | 180 | 5.50 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 14 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 8.95 | 180 | 8.96 | 180 |
| 15 | 0.74 | 0 | 0.75 | 0 | 8.98 | 0 | 8.98 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 16 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 10.50 | 180 | 10.51 | 180 | 0 | 0 | 0 | 0 |
| 17 | 0.58 | 180 | 0.58 | 180 | 3.19 | 180 | 3.19 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 18 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 16.12 | 0 | 16.13 | 0 |
| 19 | 0.46 | 0 | 0.46 | 0 | 4.67 | 180 | 4.67 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 20 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 8.35 | 0 | 8.36 | 0 | 0 | 0 | 0 | 0 |
| 21 | 0.37 | 180 | 0.38 | 180 | 7.26 | 0 | 7.26 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 22 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 7.16 | 180 | 7.15 | 180 |
| 23 | 0.31 | 0 | 0.31 | 0 | 3.18 | 180 | 3.18 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 24 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 6.95 | 180 | 6.94 | 180 | 0 | 0 | 0 | 0 |
| 25 | 0.26 | 180 | 0.26 | 180 | 2.84 | 180 | 2.84 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 26 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5.11 | 180 | 5.12 | 180 |
| 27 | 0.22 | 0 | 0.22 | 0 | 5.11 | 0 | 5.11 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 28 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 5.95 | 0 | 5.94 | 0 | 0 | 0 | 0 | 0 |
| 29 | 0.18 | 180 | 0.18 | 0 | 2.11 | 180 | 2.11 | 180 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 30 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 9.59 | 0 | 9.59 | 0 |
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