# A Study on a Design Considering the Transient State of a Line-Start Permanent Magnet Synchronous Motor Satisfying the Requirements of the IE4 Efficiency Class

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## Abstract

**:**

## 1. Introduction

## 2. Structure and Characteristic of LSPM

## 3. Design of the LSPMSM

#### 3.1. Determination of the Motor Size and Rotor Slot Shape

#### 3.2. Design of Rotor Slot Considering Transient State Using FEA

^{2}/s) and when inertia was set to 30 times the default value.

#### 3.3. Optimal Design of Rotor Using Design of Experiments and Finite Element Analysis

#### 3.4. Design of the Stator Winding Using Finite Element Analysis

## 4. Test Result

_{rms}and 7501.2 kW, respectively. Based on the test results, it can be confirmed that the manufactured motor fits well with the values analyzed by FEA. Therefore, it was confirmed that the manufactured LSPMSM can replace the existing induction motor while satisfying the requirements of the IE4 efficiency class. In addition, Table 9 shows the noise and vibration results measured in the test, and it is confirmed that there was no problem caused by noise and vibration in the steady-state.

## 5. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Data Availability Statement

## Conflicts of Interest

## References

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Variables | Value | Unit |
---|---|---|

Rated Power | 7500 | W |

Rated Torque | 39.8 | Nm |

Number of Poles | 4 | - |

Number of Slots | 36 | - |

Stator Outer | 195 | mm |

Rotor Inner | 116 | mm |

Poles | Number of Stator Slots | Number of Rotor Bars |
---|---|---|

2 | 24 | 18, 20, 22, 28, 30, 33, 34 |

36 | 25, 27, 28, 29, 30, 43 | |

48 | 30, 37, 39, 40, 41 | |

4 | 24 | 16, 18, 20, 30, 33, 34, 35, 36 |

36 | 28, 30, 32, 33, 34, 45, 48 | |

48 | 36, 40, 44, 57, 59 | |

72 | 42, 48, 54, 56, 60, 61, 62, 68, 76 | |

6 | 24 | 20, 22, 28, 44, 47, 49 |

36 | 34, 36, 38, 40, 44, 46 | |

48 | 44, 46, 50, 60, 61, 62, 82, 83 |

Bar Size (mm) | Torque (Nm) | Speed (r/min) | Current (Arms) | BarLoss (W) | Copper Loss (W) | Efficiency (%) | Power Factor (%) |
---|---|---|---|---|---|---|---|

0.5 | 39.23 | 1800 | 21.32 | 127.41 | 294.6 | 91.45 | 60.84 |

1 | 39.65 | 1800 | 21.56 | 137.59 | 301.22 | 91.35 | 60.36 |

1.5 | 39.66 | 1800 | 22.19 | 115.2 | 319.01 | 91.43 | 57.5 |

2 | 39.66 | 1800 | 26.1 | 81.14 | 441.3 | 90.46 | 54.05 |

2.5 | 39.64 | 1800 | 36.6 | 101.43 | 867.71 | 85.77 | 39.4 |

3 | 39.56 | 1800 | 55.07 | 212.1 | 1965.27 | 75.19 | 31.18 |

3.5 | 39.59 | 1800 | 78.47 | 508.24 | 3990.21 | 60.92 | 27.65 |

Slot Size (mm) | Torque (Nm) | Speed (r/min) | Current (Arms) | BarLoss (W) | Copper Loss (W) | Efficiency (%) | Power Factor (%) |
---|---|---|---|---|---|---|---|

0.5 | 33.61 | 868.4 | 116.22 | 6094.63 | 8754.74 | 16.35 | 34.37 |

1 | 39.23 | 948.4 | 125.57 | 9122.68 | 10,217.42 | 16.37 | 40.24 |

1.5 | 39.54 | 1491.7 | 115.3 | 3646.49 | 8613.56 | 32.84 | 36.73 |

2 | 39.66 | 1800 | 26.1 | 81.11 | 441.31 | 90.46 | 52.57 |

2.5 | 39.64 | 1800 | 36.6 | 101.42 | 867.84 | 85.77 | 39.40 |

3 | 39.57 | 1800 | 55.08 | 211.9 | 1965.85 | 75.19 | 31.17 |

3.5 | 39.55 | 1800 | 78.5 | 508.19 | 3993 | 60.88 | 27.62 |

Design Objective Functions | Design Variables (Level) |
---|---|

Max (Efficiency) and Max (Power Factor) | 1. Permanent Magnet Position (5 Level) 2. Permanent Magnet Thickness (5 Level) 3. Permanent Magnet Width (5 Level) 4. Rib Thickness (5 Level) 5. Rib Width (5 Level) |

Turns | Torque (Nm) | Torque Ripple (%) | Speed (rpm) | Current (A _{rms}) | Efficiency (%) | Power Factor (%) |
---|---|---|---|---|---|---|

12 | 39.6 | 43.33 | 1800 | 26.2 | 89.49 | 49.08 |

14 | 39.82 | 48.62 | 1800 | 12.89 | 94.22 | 95.02 |

16 | 39.89 | 53.22 | 1800 | 12.32 | 94.16 | 99.66 |

18 | 39.87 | 66.21 | 1800 | 12.77 | 93.26 | 96.85 |

20 | 24.28 | 1808.25 | 962.23 | 62.60 | 12.26 | 60.86 |

Variables | Value | Unit |
---|---|---|

Stator resistance | 0.282 | W |

Back EMF constant | 4.54 | V·s |

d-axis inductance (${L}_{d}$) | 16.31 | mH |

q-axis inductance (${L}_{q}$) | 34.59 | mH |

The moment of inertia ($J$) | 0.022 | kg·m^{2}/s |

Torque (Nm) | Speed (rpm) | Voltage (Vrms) | Current (A _{rms}) | Copper Loss (W) | Output (W) | Efficiency (%) | |
---|---|---|---|---|---|---|---|

Analysis | 39.82 | 1800 | 220 | 12.89 | 46.85 | 7507.7 | 94.22 |

Test | 39.79 | 1800 | 219.05 | 13.6 | 52.16 | 7501.2 | 94.1 |

Variables | Value | Unit |
---|---|---|

Noise | 71.5 | dB |

Vibration | 1.0 | mm/s |

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**MDPI and ACS Style**

Park, H.-J.; Hong, H.-B.; Lee, K.-D.
A Study on a Design Considering the Transient State of a Line-Start Permanent Magnet Synchronous Motor Satisfying the Requirements of the IE4 Efficiency Class. *Energies* **2022**, *15*, 9644.
https://doi.org/10.3390/en15249644

**AMA Style**

Park H-J, Hong H-B, Lee K-D.
A Study on a Design Considering the Transient State of a Line-Start Permanent Magnet Synchronous Motor Satisfying the Requirements of the IE4 Efficiency Class. *Energies*. 2022; 15(24):9644.
https://doi.org/10.3390/en15249644

**Chicago/Turabian Style**

Park, Hyun-Jong, Hyeon-Bin Hong, and Ki-Doek Lee.
2022. "A Study on a Design Considering the Transient State of a Line-Start Permanent Magnet Synchronous Motor Satisfying the Requirements of the IE4 Efficiency Class" *Energies* 15, no. 24: 9644.
https://doi.org/10.3390/en15249644