Maximum Torque Per Ampere Control of a Single-Phase Permanent Magnet Synchronous Motor, Part 2: Variable Speed Control M

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ORIGINAL ARTICLE

Maximum Torque Per Ampere Control of a Single‑Phase Permanent Magnet Synchronous Motor, Part 2: Variable Speed Control Method Seungbo Choi1 · Wook‑Jin Lee2  Received: 26 December 2019 / Revised: 22 April 2020 / Accepted: 7 August 2020 © The Korean Institute of Electrical Engineers 2020

Abstract In this paper, the control method for the minimum copper-loss operation of single-phase permanent magnet synchronous motor (SP-PMSM) according to given loads is proposed. The proper inverter output voltage to minimize a copper-loss is calculated from a voltage and current limit. Also, the inverter output voltage can be calculated for all load torque variations under the maximum torque capability curve of the SP-PMSM in all speed range. The proposed control method is simple and easy to implement since it has no inner current controller. The performance of the proposed method is verified by experimental results. Keywords  Single-phase permanent magnet synchronous motor · Torque capability curve · Minimum copper-loss · Motor control

1 Introduction Permanent magnet synchronous motors (PMSMs) have strong advantages in terms of high efficiency, high power density, and reliable operation, and so on, they are widely used not only in industrial equipment but also in household appliances [1–4]. Since it is relatively easy to design the shape of the stator core of the single-phase permanent magnet synchronous motor(SP-PMSM) in order to minimize the system volume and simplify its design, the SP-PMSM is equipped in small-power household appliance such as handheld vacuum [5, 6]. The inverter for SP-PMSMs has been used in low-cost and driving systems such as small pumps and blowers since it can reduce the number of inverter switches compared to three-phase permanent magnet synchronous motors (3P-PMSMs). Although the SP-PMSM has the larger torque ripple than 3P-PMSM, the SP-PMSM is

* Wook‑Jin Lee [email protected] Seungbo Choi [email protected] 1



School of Integrated Technology, Gwangju Institute of Science and Technology, Gwangju, South Korea



Department of Electrical Engineering, Chungnam National University, Daejeon, South Korea

2

also used in fan motors where torque ripple is not important [7]. In Part 1, the maximum torque capability curve of SPPMSM is analyzed. The voltage limit circle and the current limit circle are introduced along with the DC-link voltage and the motor parameters. Using these circles, it shows the same result as the Maximum Torque Per Ampere (MTPA) operation of 3P-PMSM which minimizes the copper-loss of the motor [8–14]. The study about effective MTPA operation is achieved by configuring the d–q axis loss model of PMSM [8] or tracing the trajectory of MTPA by small signal injection [9]. Also, the equivalent circuit models are proposed to analyze the power capability [10, 11]. Some common vector control strategies are introduced to drive MTPA operation but they employ the current control [12–14]. However, most of the losses are neglected. In the high-speed range, the magnitude of