# Analysis and Comparison of Permanent Magnet Synchronous Motors According to Rotor Type under the Same Design Specifications

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## Abstract

**:**

## 1. Introduction

_{2}emissions are generated from automobiles; thus, the development of environmentally friendly vehicles, such as electric vehicles (EVs) and hybrid electric vehicles (HEVs), and studies on alternative energy sources to replace vehicles with internal combustion engines are required [1,2,3,4,5]. These are competitively performed at the national level. Traction motors are a core technology for EVs and are being actively investigated worldwide, because EVs are driven by an electric motor in parallel with a vehicle with a conventional gasoline/diesel engine, or driven only by an electric motor [1,2,3,4,5].

## 2. Analysis of a PMSM for a Compressor

#### 2.1. Analysis Model and Design Requirements

#### 2.2. Design Constraints

^{7}. Here, 0.9 was assumed to be the ${\eta}_{inverter}$ value [7]. According to (4), when the inverter input voltage is 288 [V

_{dc}], the voltage limit is determined to be 150 V

_{max}. In addition, the current density condition was selected based on water cooling.

#### 2.3. Characteristics of a PMSM

_{linkage}, and N denote the back EMF, flux linkage, and several turns, respectively [9].

_{core}, P

_{h}, P

_{e}, and P

_{a}represent the core, hysteresis, eddy current, and abnormal eddy current losses, respectively [9]. In addition, ${k}_{h}$, ${k}_{e}$, and ${k}_{a}$ denote hysteresis, eddy current loss, and abnormal eddy current loss constants, respectively. Each constant can be calculated from the loss of data versus the frequency.

_{pm}, ω

_{r}, σ, and J

_{e}denote the PM loss, rotational speed, the conductivity of the PM, and the eddy current in the PM, respectively [9]. Accordingly, the electromagnetic efficiency is expressed as follows:

_{out}represent the efficiency and output power, respectively [9].

## 3. Results and Discussion

#### 3.1. Comparison of the Electromagnetic Characteristics According to the Rotor Type

#### 3.2. Experimental Result and Discussion

## 4. Conclusions

## Author Contributions

## Funding

## Data Availability Statement

## Conflicts of Interest

## References

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**Figure 6.**Results of characteristic analysis: (

**a**) cogging torque; (

**b**) torque ripple. loss analysis results: (

**c**) coreloss; (

**d**) PM loss.

**Figure 7.**Flux density analysis results: (

**a**) flux lines of SPMSM; (

**b**) flux lines of IPMSM; (

**c**) flux density of SPMSM (

**d**) flux density of IPMSM.

Parameter | Value | Parameter | Value |
---|---|---|---|

Rated torque | 6.6 Nm | Input voltage | 288 |

Rated power | 4.5 KW | PWM | SVPWM |

Rated speed | 6540 rpm | Voltage limit | 150 (Vmax) |

Maximum speed | 8000 rpm | Current density | 20 (Arms/m^{2}) |

Stack length | 100 mm | Efficiency | 92% |

Air gap | 0.5 mm |

Parameters | SPMSM | IPMSM |
---|---|---|

Inner diameter of the rotor (mm) | 55.6 | 50 |

Inner diameter of the stator (mm) | 57 | 51 |

Outer diameter of the stator (mm) | 100 | 100 |

Stack length (mm) | 50 | 50 |

PM thickness (mm) | 5.8 | 3 |

Amount of magnet (g) | 270 | 130 |

PM material | NdFe42 | NdFe42 |

Core material | 35PN250 | 35PN250 |

Turn | 7 | 8 |

Parameters | SPMSM | IPMSM |
---|---|---|

Output torque (Nm) | 7.35 | 7.36 |

Input current (A) | 16.83 | 18.53 |

Power (W) | 5039 | 5039 |

Core loss (W) | 66.36 | 52.6 |

PM loss (W) | 2.81 | 0.68 |

Copper loss (W) | 265.7 | 368 |

Current density (A/mm^{2}) | 16.74 | 18.43 |

Efficiency (%) | 93.8 | 92.3 |

Torque density (Nm/Kg) | 27.22 | 56.61 |

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**MDPI and ACS Style**

Jung, W.-S.; Lee, H.-K.; Lee, Y.-K.; Kim, S.-M.; Lee, J.-I.; Choi, J.-Y. Analysis and Comparison of Permanent Magnet Synchronous Motors According to Rotor Type under the Same Design Specifications. *Energies* **2023**, *16*, 1306.
https://doi.org/10.3390/en16031306

**AMA Style**

Jung W-S, Lee H-K, Lee Y-K, Kim S-M, Lee J-I, Choi J-Y. Analysis and Comparison of Permanent Magnet Synchronous Motors According to Rotor Type under the Same Design Specifications. *Energies*. 2023; 16(3):1306.
https://doi.org/10.3390/en16031306

**Chicago/Turabian Style**

Jung, Woo-Sung, Hoon-Ki Lee, Young-Keun Lee, Su-Min Kim, Jeong-In Lee, and Jang-Young Choi. 2023. "Analysis and Comparison of Permanent Magnet Synchronous Motors According to Rotor Type under the Same Design Specifications" *Energies* 16, no. 3: 1306.
https://doi.org/10.3390/en16031306