本文先介紹永磁同步馬達數學模型與磁場導向控制基本原理，推導其永磁同步馬達 軸電壓方程式，再介紹表貼式永磁同步馬達參數鑑別之原理，相較於傳統使用儀器設備量測馬達電氣參數，需額外架設治具或拆卸馬達，過程費時費力，大幅增加馬達量測上之不便性，本文係使用變頻器與磁場導向控制原理來獲取馬達電氣參數，透過變頻器開關切換與電路特性來鑑別相電阻，透過永磁同步馬達數學模型與磁場導向控制原理來鑑別永磁磁交鏈與相電感，並將鑑別之參數應用於無感測器驅動上。本文無感測器控制算法係使用滑模觀測器來進行角度與速度估測，文章先介紹擴展反電動勢模型，並推導其永磁同步馬達 軸電壓方程式，再介紹滑模觀測器基本原理與架構，以及滑模觀測器相關參數之設定與估測性能探討，實驗部分使用德州儀器所開發之InstaSPIN-FOC技術與設備來實現馬達參數鑑別與無感測器速度控制。

Based on the d-q axis voltage mathematical model of surface mounted permanent magnet synchronous motors (SPMSMs), a method for the parameter identification of motor is presented. In this paper, the fixed switching states of the inverter is used to hold the motor rotor at a certain position, then, a DC current command is passed through the d-axis of the field oriented control structure to obtain the resistance of the SPMSM through circuit analysis. In addition, to control the motor at a certain speed, the flux linkage parameter and inductance parameter can be calculated through the d-q axis voltage model of the SPMSM. Meanwhile, the parameters can also be used for sensorless control. In this paper, a sliding mode observer is adopted for the sensorless control. The derivation of Extended Back-EMF model is introduced, which is obtained from the axis voltage model by rewriting the extended voltage formula. The rotor positon is then obtained by estimating the extended Back-EMF. The structure and design of the sliding mode observer are provided in this paper. The stability of the system is analyzed using Lyapunov theorem. By subtracting the actual value of the current from the estimated value, the current error value can be switched using the bang-bang control to obtain the estimated value of the back electromotive force(Back-EMF). However, since the value of the estimated Back-EMF is the discontinuous value, which contains the noise of high frequency components of bang-bang control. Noise filtering is usually performed using a low-pass filter to obtain the continuous estimated value of the Back-EMF. Furthermore, the estimated speed value and estimated rotor angle value can be calculated using the SPMSM mathematical model. In the end of the thesis, the DRV-8301 and F28069F is used to conduct motor parameter identification experiment and Sensorless speed control experiment.

[1] 黃偉宸，「磁阻式解角器(VR RESOLVE)的介紹」，馬達電子報，國立成功大學馬達科技中心，第962期，2021.
[2] 吳耀昇, "永磁馬達無感測直接轉矩驅動控制之磁交鏈觀測器設計", 國立成功大學電機工程學系碩士論文, 2018年
[3] Ying Chen, Dongdong Chen, Zongwei Li, Hongdan Lei and Hongguan Zhu, "Off-line Parameter Identification of Permanent Magnet Synchronous Motor," 7th International Conference on Energy Technology and Materials Science (ICETMS 2021), 2021.
[4] G. Feng, C. Lai, K. Mukherjee and N. C. Kar, "Current Injection-Based Online Parameter and VSI Nonlinearity Estimation for PMSM Drives Using Current and Voltage DC Components," IEEE Transactions on Transportation Electrification, 2016.
[5] G. Feng, C. Lai and N. C. Kar, "A Novel Current Injection-Based Online Parameter Estimation Method for PMSMs Considering Magnetic Saturation," IEEE Transactions on Magnetics, 2016.
[6] TI InstaSPIN − FOC and InstaSPIN − MOTION User’s Guide
[7] Ji-Hoon Jang, S. -K. Sul, Jung-Ik Ha, K. Ide and M. Sawamura, "Sensorless drive of surface-mounted permanent-magnet motor by high-frequency signal injection based on magnetic saliency," IEEE Transactions on Industry Applications, 2003.
[8] S. Morimoto, K. Kawamoto, M. Sanada and Y. Takeda, "Sensorless control strategy for salient-pole PMSM based on extended EMF in rotating reference frame," IEEE Transactions on Industry Applications, 2002.
[9] K. -G. Lee, J. -S. Lee and K. -B. Lee, "SPMSM sensorless control for wide speed range using full-order flux observer," IEEE International Conference on Industrial Technology (ICIT), 2014.
[10] K. Tondpoor, S. M. Saghaiannezhad and A. Rashidi, "Sensorless Control of PMSM Using Simplified Model Based on Extended Kalman Filter," 11th Power Electronics, Drive Systems, and Technologies Conference (PEDSTC), 2020.
[11] P. Kumar, N. Kaushik and S. Dahiya, "Simulation of sensor less speed control of PMSM based on FOC method with MRAS adaptive speed estimator," Annual IEEE India Conference (INDICON), 2013.
[12] H. Mehta, V. Joshi and P. Kurulkar, "Implementation issues of sliding mode observer for sensorless field oriented control of PMSM using TMS320F2812," IEEE Symposium on Sensorless Control for Electrical Drives (SLED), 2016.
[13] G. -R. Chen, J. -Y. Chen and S. -C. Yang, "Implementation Issues of Flux Linkage Estimation on Permanent Magnet Machine Position Sensorless Drive at Low Speed," IEEE Access, 2019.
[14] 劉昌煥, "交流電機控制-向量控制與直接轉矩控制原理 第四版", 東華圖書股份有限公司, 2013年
[15] C. Surajit, M. Madhuchhanda and S. Samarjit "Clarke and park transform,” Electric Power Quality. Springer, Dordrecht, 2011.
[16] 張啟洋，「IPM 同步馬達之電感模型推導」，馬達電子報，國立成功大學馬達科技中心，第1001期，2022..
[17] Z. Li, G. Feng, C. Lai, D. Banerjee, W. Li and N. C. Kar, "Investigation of on-Line Parameter Estimation for Interior PMSMs Considering Current Injection and Machine Operating Conditions," 21st International Conference on Electrical Machines and Systems (ICEMS), 2018.
[18] Zhiqian Chen, M. Tomita, S. Doki and S. Okuma, "An extended electromotive force model for sensorless control of interior permanent-magnet synchronous motors," IEEE Transactions on Industrial Electronics, 2003.
[19] D. Shi, "Sensorless control method of PMSM based on slide-mode observer," IEEE Symposium on Electrical & Electronics Engineering (EEESYM), 2012.
[20] M. Ertugrul, O. Kaynak, A. Sabanovic and K. Ohnishi, "A generalized approach for Lyapunov design of sliding mode controllers for motion control applications," Proceedings of 4th IEEE International Workshop on Advanced Motion Control, 1996.
[21] MOTION TECHNOLOGY 碩陽電機,「無刷馬達與驅動器型錄」,Available from: https://drive.google.com/drive/folders/1Px17K-8XSTJxvksoFuhyRn5WhyYqiwUa,檢索日期:2022/12/27
[22] SHENGYI 生益科技,「DGWH1-Front Drive Motor datasheet」, Available from: https://www.syimotor.com/products/dgwh1-front-drive-motor.html, 檢索日期:2022/12/29