Application of Line-Start Permanent-Magnet Synchronous Motor in Converter Drive System with Increased Safety Level

Abstract

This article analyses the potential use of a Line-Start Permanent-Magnet Synchronous Motor (LSPMSM) in a drive system with a frequency converter that enables stable operation without internal feedback from the rotor position. In Fault-Tolerant Control (FTC) drives, resistant to measuring sensor faults, classical PMSM machines lose the possibility of stable operation in the event of damage to the position/speed sensor. LSPMSMs can operate without the presence of measuring sensors. However, most existing studies focus on the application of LSPMSMs powered directly from the grid, which is a suitable approach for large machines such as pumps and fans. Given the ongoing efforts to improve the efficiency of electric drives, it is reasonable to explore the application of LSPMSMs in drives controlled by frequency converters. The key advantage of this approach is that the motor, which typically operates in a vector control structure, can maintain stable operation even in the event of a speed sensor failure. This article presents a comprehensive research approach. Calculations of a new type of induced-pole LSPMSM were carried out, and simulation tests using Ansys software were performed. Next, a prototype of the machine was made. The induced-pole PMSM contains a two-times-lower number of permanent magnets but their volume in the motor rotor is the same due to demagnetization robustness. The motor has enclosure-less construction. The startup and running characteristics of the motor were investigated under direct-on-line supply. The article presents calculations, simulation analyses, and experimental validation under scalar control, confirming the feasibility of using this type of machine in Fault-Tolerant Control drives.

1. Introduction

Currently, Fault-Tolerant Control (FTC) is a highly significant research topic. The task of such systems is to detect failures and ensure the complete or partial removal of their influence, thereby guaranteeing the safe operation of the drive system after a failure occurs [1,2]. Due to the potential for various failures, this approach is also applied in drive systems with electric motors. The main types of failures in drive systems are typically categorized as motor failures, divided into mechanical and electrical failures; frequency converter failures; and measurement sensor malfunctions [3].

In the case of measurement sensor failures, many solutions have been developed to detect and classify faults. The literature describes simple methods based on the analysis of measurement signals [4,5,6], methods based on the object model [7,8], and more complex solutions based on artificial intelligence [9,10,11]. In the case of fault compensation, the focus is on two types of solutions. The first approach involves the use of the state variable estimators, which replace the faulty sensor programmatically and are categorized as part of analytical compensation. In the literature, applications of many types of estimators can be found: the Sliding Mode [12], Extended Kalman Filter [13], Unknown Input Observer [14] and Luenberger Observer [15]. Another approach, belonging to hardware compensation methods, is the installation of redundant measurement sensors in the drive system, which can replace a faulty component in the event of a failure [16]. It is a relatively expensive solution at the production level.

Due to the limited scope of hardware options, the development of work on such solutions is essential. In this paper, the authors describe the preliminary research of an example application. A solution to the problem of designing a robust system resistant to measurement sensor failures may be the use of a Line-Start Permanent-Magnet Synchronous Motor (LSPMSM), which has the capability for sensorless operation and direct start-up from the grid. The development of such a system requires scalar control without feedback from sensors, which would be responsible for controlling the motor in the event of a failure, which is described in this article.

In precision industrial applications, Permanent-Magnet Synchronous Motors (PMSMs) are used due to their characteristics. Motors of this type have properties such as high efficiency, high torque density, precise speed control, compact design, low maintenance, and a high power factor. They work well in applications that require both high precision and high dynamics [17,18]. However, these motors require control with feedback from speed/position measurements. In the event of a speed transducer failure, the drive system can no longer operate (except for in the sensorless mode, which requires the use of additional position or speed estimators). A solution to this problem could be a drive system with an LSPMSM. This is a motor whose design is a hybrid combination of an induction motor (rotor with a squirrel cage) and a PMSM (permanent magnets in the rotor). The design of the motor allows for achieving performance parameters similar to those of a PMSM, as well as direct-on-line starting, similar to an induction motor [19]. However, research papers in the literature focusing on this type of machine mainly concentrate on the motor design process and performance verification through direct connection to the power grid [20,21,22]. The analysis of the variable-speed operation of the LSPMSM appears only in a few studies [23]. And, it is a machine with great potential for application in vector control systems. Furthermore, due to the possibility of sensorless operation, it has a high capability for application in control systems that tolerate measurement sensor failures.

This article presents the properties of the developed induced-pole LSPMSM along with a description of the design process. The work also includes elements such as the arrangement of magnets and the construction of the stator. Additionally, this paper investigates the performance of the analyzed motor under scalar control using a frequency converter. Tests were conducted for different values of the set speed and supply voltage. The obtained results demonstrate the possibilities of the smooth control of the analyzed motor, using only scalar control. This paper presents preliminary research, which will be extended with application within a vector control system, with the ability to switch to the sensorless scalar control mode in the event of a speed transducer failure. This assumption is based on the fact that if the encoder or resolver is damaged, it is not possible to operate with full vector control. Preliminary research on scalar control is crucial for further work on the FTC system due to the lack of research demonstrating the properties of the LSPMSM in speed control systems, as well as because it shows the possibilities of fault compensation. Additionally, the switching from the vector control mode to the scalar control mode has been previously described for the induction motor [24]. The scalar control structure was implemented using Matlab/Simulink (R2018b) software and the DS1103 dSpace controller (Paderborn, Germany). In this paper, the motor design process is also described in detail, which was conducted using Ansys Maxwell software, highlighting the key steps and considerations involved in the modeling and simulation of the motor’s electromagnetic properties. Additionally, the impact of various design parameters on the motor’s performance is analyzed.

The rest of this paper is organized as follows. The second section is a description of the general mathematical model of the LSPMSM. The third part of the article contains a description of the motor design process using Ansys Maxwell software and the obtained motor parameters. The fourth part presents the properties of the analyzed motor during direct-on-line starting. The fifth part includes experimental studies of the scalar control system with the analyzed LSPMSM. The final chapter of this article summarizes the obtained results and outlines plans for future research.

2. LSPMSM Mathematical Model

The mathematical model of the LSPMSM will be presented using d-q coordinates. This model is more complex compared to a classic PMSM due to the combination of the characteristics of an induction motor and a PMSM. In this model, the fundamental state variables are expressed concerning the rotor, V_ds or V_qs, and the stator, V′_dr or V′_qr. The voltage equations of the rotor and the stator are written as follows [25]:

$$\begin{array}{l}{v}_{ds}=r_s{i}_{ds}+{\displaystyle \frac{d{\Psi }_{ds}}{dt}}-\omega r{\Psi }_{qs}\\ v_{qs}=r_s{i}_{qs}+{\displaystyle \frac{d{\Psi }_{qs}}{dt}}+\omega r{\Psi }_{ds}\end{array}$$

(1)

$$\begin{array}{l}{v}_{dr}^{\prime }=r_{dr}^{\prime }{i}_{dr}^{\prime }+{\displaystyle \frac{d{\Psi }_{dr}^{\prime }}{dt}}=0\\ v_{qr}^{\prime }=r_{qr}^{\prime }{i}_{qr}^{\prime }+{\displaystyle \frac{d{\Psi }_{qr}^{\prime }}{dt}}=0\end{array}$$

(2)

where

• $r_s,r_{dr}^{\prime },r_{qr}^{\prime }$ are the stator and rotor resistances, respectively.

The equations describing flux losses are also written with respect to the rotor, Ψ′_dr or Ψ′_qr, and stator, Ψ_ds and Ψ_qs:

$$\begin{array}{l}{\Psi }_{ds}=(L_{ls}+L_{md})i_{ds}+L_{md}{i}_{dr}^{\prime }-{\Psi }_m^{\prime }\\ {\Psi }_{qs}=(L_{ls}+L_{mq})i_{qs}+L_{mq}{i}_{qr}^{\prime }\end{array}$$

(3)

$$\begin{array}{l}{\Psi }_{dr}^{\prime }=(L_{ldr}^{\prime }+L_{md})i_{dr}^{\prime }+L_{md}{i}_{ds}-{\Psi }_m^{\prime }\\ {\Psi }_{qr}^{\prime }=(L_{lqr}^{\prime }+L_{mq})i_{qr}^{\prime }+L_{mq}{i}_{qs}\end{array}$$

(4)

where

• L′_ldr and L′_lqr are the rotor inductance losses;
• L_md and L_mq are the mutual inductances in d-q coordinates;
• L_sd and L_sq are the stator inductances in d-q coordinates.
• Using the flux loss values and inductance parameters, the stator i_ds, i_qs and rotor currents i′_dr and i′_qr can be expressed as follows:

$$\begin{array}{l}{i}_{ds}=({\Psi }_{ds}+{\Psi }_m^{\prime }({\displaystyle \frac{L_{md}}{L_{ldr}^{\prime }}}-1)-{\displaystyle \frac{L_{md}}{L_{ldr}^{\prime }}}{\Psi }_{dr}^{\prime })\times {\displaystyle \frac{1}{(L_{sd}-\frac{L_{md}^2}{L_{ldr}^{\prime }})}}\\ i_{qs}=({\Psi }_{qs}-{\displaystyle \frac{L_{mq}}{L_{lqr}^{\prime }}}{\Psi }_{qr}^{\prime })\times {\displaystyle \frac{1}{(L_{sq}-\frac{L_{mq}^2}{L_{lqr}^{\prime }})}}\end{array}$$

(5)

$$\begin{array}{l}{i}_{dr}^{\prime }=({\Psi }_{dr}^{\prime }+{\Psi }_m^{\prime }({\displaystyle \frac{L_{md}}{L_{sd}}}-1)-{\Psi }_{ds}{\displaystyle \frac{L_{md}}{L_{sd}}})\times {\displaystyle \frac{1}{(L_{ldr}^{\prime }-\frac{L_{md}^2}{L_{sd}})}}\\ i_{qr}^{\prime }=({\Psi }_{qr}^{\prime }-{\Psi }_{qs}{\displaystyle \frac{L_{mq}}{L_{sq}}})\times {\displaystyle \frac{1}{(L_{lqr}^{\prime }-\frac{L_{mq}^2}{L_{sq}})}}\end{array}$$

(6)

The electromagnetic torque in a simplified form is given by the following expression:

$$T_{em}={\displaystyle \frac{3N_p}{4}}({\psi }_{ds}{i}_{qs}-{\psi }_{qs}{i}_{ds})$$

(7)

The extension of Equation (7) allows for the determination of the individual components of the torque resulting from the structural properties:

$$T_{em}={\displaystyle \frac{3N_p}{4}}\left([\underset{\begin{array}{l}Reluctance\\ torque\end{array}}{\underbrace{(Ld-Lq)i_{ds}{i}_{qs}]}}+[\underset{\begin{array}{l}Induction\\ torque\end{array}}{\underbrace{L_{md}{i}_{dr}^{\prime }{i}_{qs}-L_{mq}{i}_{qr}^{\prime }{i}_{ds}}}]+[\underset{\begin{array}{l}Permanent\\ magnet\\ torque\end{array}}{\underbrace{{\Psi }_m^{\prime }{i}_{qs}}}]\right)$$

(8)

The completion of the model is represented by the expression defining the mechanical speed of the motor:

$${\omega }_r={\displaystyle \frac{1}{J}}{\displaystyle \int (T_{em}-T_{load}-B{\omega }_r)}$$

(9)

3. Induced-Pole LSPMSM Design

In Ansys Electronics software, the FEM model of the induced-pole LSPMSM was built. The rotor contains quasi-trapezoidal copper bars short-circuited by copper rings which are connected by soldering. The project and manufactured rotor of the induced-pole LSPMSM is presented in Figure 1.

The induced-pole PMSM contains a two-times-lower number of permanent magnets. Due to specific arrangement of permanent magnets inside the motor rotor, the number of magnetic poles is doubled. Although there is a reduced number of permanent magnets, the final volume of them is the same as that in the case of a standard PMSM due to permanent magnet demagnetization endurance [26,27,28,29]. The results of magnetic field analysis of the induced-pole LSPMSM are shown in Figure 2.

The LSPMSM, during starting, develops extremely high electromagnetic torque. Moreover, between some rotor slots and permanent magnets slots, there are quite narrow gaps in the rotor sheets, so mechanical stresses for this motor type must be carefully investigated.

For mechanical investigation computed using ANYS Workbench software, the load torque T = 20T_n and speed n = 1.2n_n were assumed [30]. Mesh in the FEM model in the gaps was concentrated for better computational accuracy. The obtained maximum mechanical stress of about 50 MPa was much lower in comparison with the yield strength equal to 325 MPa for the M400-50A electrotechnical steel type used for the motor manufacturing. Computed mechanical investigation results are shown in Figure 3.

The manufactured induced-pole LSPMSM was built as an enclosure-less construction. The stator sheets contain cooling ribs above the yoke and construction rod holes. The stator sheet and manufactured stator are presented in Figure 4.

4. Induced-Pole LSPMSM Direct-on-Line Supply

In the Laboratory of Electrical Machines at the Electrical Engineering Faculty at Wroclaw University of Science and Technology, the manufactured induced-pole LSPMSM was investigated. The motor was supplied directly on line. Running and starting properties for the rated three-phase voltage U_n = 400 V 50 Hz were measured. The obtained results are presented in Figure 5 and Figure 6 and in

Table 1. Manufactured induced-pole LSPMSM parameters.

Manufactured Motor Parameters
Pn [kW]	1.1
Un [V]	400
In [A]	1.8
ηn [%]	90
PF [-]	0.89
tmax [-]	1.6
nn [RPM]	1500

.

5. Scalar Motor Control

This section of this paper presents the possibilities for the speed regulation of the LSPMSM in a scalar control system (Figure 7).

The obtained results demonstrate the operation of the drive system for different set speed values and supply voltages. The experimental studies were conducted using the DS1103 rapid prototyping kit (Paderborn, Germany). An incremental encoder with a resolution of 5000 imp./rev. was used to measure the rotor speed/position. Speed measurement was not used in the control structure, but it is presented for analytical purposes, precisely as the current measurement by LEM transducers. The scalar control system was implemented in the control unit using the Matlab/Simulink (R2018b) environment with a sampling time of 10⁻⁴. This application was responsible for generating a PWM signal to control the inverter, operating at a frequency of 20 kHz. Additionally, a user interface for control was developed in the Control Desk (version 6.4) environment, allowing for easy visualization and operation. The complete diagram of the test setup with photos are shown in Figure 8.

The analysis of speed regulation in the scalar control system of the LSPMSM is presented for different supply voltage values and reference speeds. The selection of the supply voltage was based on the minimum value required to start up the motor—approximately $0.65U_N$. The range of set speeds was within the range not exceeding 50 Hz. In order to present a wider speed range in each run, the results show characteristics for the supply voltage ranging from $0.75U_N$. Firstly, the results for set speeds of 450 and 600 RPM at a supply voltage of $0.75U_N$ are presented (Figure 9). For the set speed of 450 RPM, the speed regulation performed satisfactorily, while the value of 600 RPM was too high for this voltage level. This was also observable in the distorted current transients. Furthermore, the rotor position waveforms show smooth speed regulation.

In the further part of the study, the motor operation was analyzed for set speeds of 600 RPM and 800 RPM at the supply voltage $0.8U_N$, which improved the control quality for the reference speed of up to 600 RPM and increased the achievable speed range of the motor (Figure 10).

The final waveforms in this section of the paper present the results for set speeds of 800 RPM and 1000 RPM at the supply voltage $0.85U_N$ (Figure 11). This is the voltage value that allowed for smooth speed waveforms, even at a speed of 1000 RPM.

In order to demonstrate the operation with satisfactory parameters,

Table 2. Values of the THD coefficient at different supply voltage levels for individual phases.

	THD [%]
${\mathit{U}}_{\mathit{N}}$ [%]	$0.75{\mathit{U}}_{\mathit{N}}$		$0.8{\mathit{U}}_{\mathit{N}}$		$0.85{\mathit{U}}_{\mathit{N}}$
Speed [RPM]	450	600	600	800	800	1000
$I_A$	2.191	13.041	2.394	7.548	2.951	5.084
$I_B$	2.899	30.648	2.763	7.771	2.793	4.967
$I_C$	2.284	9.330	2.896	7.938	3.883	6.351

presents the values of the THD (Total Harmonic Distortion) coefficient for the respective supply voltages and set speeds values. In most cases, for the appropriate supply voltage values, consistent with the desired rotational speed, the THD coefficient did not exceed 3%.

6. Conclusions

An induced-pole LSPMSM was designed in Ansys software. Electromagnetic and mechanical motor properties were computed and analyzed. Afterwards, the physical motor model was manufactured as an enclosure-less construction. During laboratory tests, the values of significant motor parameters were obtained, such as the following:

• Power factor—0.89;
• Motor efficiency—90%;
• Maximum torque ratio—1.6.

The second objective of this study was to analyze the speed control capability of the induced-pole LSPMSM within the scalar control structure. The obtained results allowed us to conclude the following:

• Speed regulation was smooth, and the speed profiles had a satisfactory shape.
• The values of the current THD coefficient in each phase for the tested cases did not exceed 3%.

The research presented in this work serves as a preliminary step toward the development of a Fault-Tolerant Control system for measurement sensor failures, using an LSPMSM. The developed system will serve as a fault compensation mechanism. In further studies, the authors plan to test the LSPMSM in a vector control system and switch to a sensorless mode. This part of the paper is, according to the authors, unique and unseen in reports in the literature. Most LSPMSMs are used with mains power supply. Our proposal takes into account the advantages of the machine and the possibility of its use in systems with an increased degree of safety. It has been shown that this type of motor is suitable for applications with an increased degree of safety, such as in electromobility and aviation.