# Power Losses Investigation in Direct 3 × 5 Matrix Converter Using MATLAB Simulink

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Bidirectional Switch Analysis

_{AV}denotes the average current flowing through the bidirectional switch and V

_{SAT}and V

_{F}denote the IGBT saturation voltage and internal diode forward voltage, respectively. The following characteristics can be noticed while using a random average 1200 V IGBT, such as the STGW15H120DF2. The voltage drop at the separate sections of the IGBT is shown in Table 1.

## 3. Analytical Power Losses Calculation in Matrix Converter

_{PK}represents the peak value of the output current of the matrix converter. Losses in one bidirectional switch can be then calculated using:

_{PK}is the peak value of the output current and r represents R

_{DS(on)}of one MOSFET transistor in the bidirectional switch. For the global power losses in the 3 × 5 matrix converter, r can be substituted as follows:

## 4. Model of the MxC Converter in MATLAB Simulink

## 5. Simulation Results

#### 5.1. Simulation of Power Losses in IGBT-Based Bi-Switch with External Current Direction Detection Diode

_{RECT}was maintained at its maximum value of 1. The gain of the virtual inverter was changed from 0.1 to its maximum value of 1.6. The load for the matrix converter was represented with a five-phase RL circuit with values of R = 7.8 Ω and L = 30 mH. The input power supply was simulated by three phase voltage sources with voltages set to 90 V RMS and frequency of 50 Hz. Three simulations were conducted with devices and parameters shown in Table 3.

_{INV}= 1.6, the bidirectional switches losses were 130 W, direction diodes losses were 16.8 W and input filter losses were 11.25 W. The total output power at the q

_{INV}= 1.6 was 860.78 W.

#### 5.2. Simulation of Power Losses in IGBT-Based Bi-Switch without External Current Direction Detection Diode

#### 5.3. Simulation of Power Losses in SiC-Based Bidirectional Switch

_{INV}.

## 6. Comparison with the MxC Prototype

_{INV}= 1.6 are shown in Figure 12.

## 7. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

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**Figure 1.**Current flow in IGBT-based bidirectional switch (

**a**) Positive current flow, (

**b**) Negative current flow.

**Figure 12.**Measured five phase output of the MxC prototype (phase currents—top and phase voltages—bottom).

**Figure 13.**Measured five phase output of the MxC prototype (phase currents—top and phase voltages—bottom)—Software Filtered.

**Figure 14.**Waveforms at the output of the 3 × 5 matrix converter (output phase current—blue, phase to neutral voltage—cyan, phase to phase voltage—purple).

Parameter | V_{SAT} [V]@10A | V_{F} [V]@10A |
---|---|---|

STGW15H120DF2 | 2.6 | 3 |

Part | Value | Unit |
---|---|---|

Inductor | 1.11 | mH |

Inductor resistance | 160 | mΩ |

Capacitor | 7 | μF |

Capacitor resistance | 7 | mΩ |

Damping resistor | 15 | Ω |

Device | V_{CE} [V] at 10 A | V_{F} [V] at 10 A | R_{DSon} [mΩ] * |
---|---|---|---|

IGBT STGW15H120DF2 | 2.6 | - | - |

Internal diode of IGBT | - | 3 | - |

Direction Diode V20PW15 | - | 0.9 | - |

MOSFET NTBG080N120SC1 | - | - | 110 |

_{DSon}is stated for V

_{GS}= 18 V and I

_{DS}= 20 A.

Type/Loss per Switch | Analytical [W] | Simulation [W] |
---|---|---|

IGBT | 4.37 | 4.32 |

SiC | 1.76 | 1.79 |

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**MDPI and ACS Style**

Praženica, M.; Kaščák, S.; Resutík, P.
Power Losses Investigation in Direct 3 × 5 Matrix Converter Using MATLAB Simulink. *Appl. Sci.* **2023**, *13*, 4049.
https://doi.org/10.3390/app13064049

**AMA Style**

Praženica M, Kaščák S, Resutík P.
Power Losses Investigation in Direct 3 × 5 Matrix Converter Using MATLAB Simulink. *Applied Sciences*. 2023; 13(6):4049.
https://doi.org/10.3390/app13064049

**Chicago/Turabian Style**

Praženica, Michal, Slavomír Kaščák, and Patrik Resutík.
2023. "Power Losses Investigation in Direct 3 × 5 Matrix Converter Using MATLAB Simulink" *Applied Sciences* 13, no. 6: 4049.
https://doi.org/10.3390/app13064049