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Keywords = start-up inrush current

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19 pages, 4402 KB  
Article
Research on Coupled Inductor Interleaved High Step-Up DC-DC Converter
by Chao Wang, Yu Gu and Hanyang Li
Energies 2025, 18(23), 6174; https://doi.org/10.3390/en18236174 - 25 Nov 2025
Viewed by 328
Abstract
This paper presents a high-voltage step-up DC-DC converter with an active flexible loop based on the Boost topology. By combining interleaved technology, magnetic integration technology, and voltage doubling capacitor technology, the voltage step-up of the converter is improved, and the duty range of [...] Read more.
This paper presents a high-voltage step-up DC-DC converter with an active flexible loop based on the Boost topology. By combining interleaved technology, magnetic integration technology, and voltage doubling capacitor technology, the voltage step-up of the converter is improved, and the duty range of the converter is extended by introducing an active flexible circuit composed of MOSFETs, diodes, and resistors. In addition, a coordinated control strategy of “open loop flexible compensation—closed loop linear compensation” is proposed, which effectively limits the starting inrush current of the converter and improves the dynamic performance. In this paper, the steady-state model of the converter in different duty ranges and the control idea of the coordinated control strategy are analyzed in detail, and a test prototype with a maximum output power of 100 W is built. In the hardware experiment, the steady state of the proposed converter working in different duty ranges and the dynamic start of the converter are tested, which proves the effectiveness of the proposed controller and control strategy. Full article
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19 pages, 3858 KB  
Article
An Enhanced Grid-Forming Control Strategy for Suppressing Magnetizing Inrush Current During Black Start of Wind-Storage Systems
by Tieheng Zhang, Yucheng Hou, Yifeng Ding, Yi Wan, Xin Cao, Derui Cai and Jianhui Meng
Electronics 2025, 14(22), 4431; https://doi.org/10.3390/electronics14224431 - 13 Nov 2025
Viewed by 485
Abstract
Grid-forming wind-storage systems can serve as black-start power sources capable of autonomously establishing voltage and frequency references when the external grid is unavailable, thereby providing crucial support for rapid grid restoration. However, during the black-start process, energizing unloaded transformers often induces severe magnetizing [...] Read more.
Grid-forming wind-storage systems can serve as black-start power sources capable of autonomously establishing voltage and frequency references when the external grid is unavailable, thereby providing crucial support for rapid grid restoration. However, during the black-start process, energizing unloaded transformers often induces severe magnetizing inrush currents, which may cause transient overcurrent, damage grid-forming converters, and compromise system stability. To address this issue, this paper proposes a segmented zero-voltage start strategy and a dual-side converter multi-mode switching control scheme based on small-capacity distributed energy storage. First, the formation mechanism of transformer magnetizing inrush under no-load energization is analyzed. A segmented zero-voltage start module is embedded into the outer voltage loop of the virtual synchronous generator (VSG) controller to enable a smooth rise in output voltage, effectively mitigating transient impacts caused by magnetic core saturation. Second, considering the operating requirements during self-start and load restoration stages, a coordinated control framework for dual-side converters is designed to achieve dynamic voltage, frequency, and power regulation with limited energy storage capacity, thereby improving transient stability and energy utilization efficiency. Finally, real-time hardware-in-the-loop (HIL) simulations conducted on an RT-LAB platform verify the feasibility of the proposed control strategy. The results demonstrate that the method can significantly suppress magnetizing inrush current, transient overvoltage, and overcurrent, thus enhancing the success rate and dynamic stability of black-start operations in grid-forming wind-storage systems. Full article
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7 pages, 645 KB  
Article
Multi-Path Precharge for GaN Flying-Capacitor-Multi-Level Totem-Pole PFC
by Qingxuan Ma, Qingyun Huang, Felice Makain, Alex Q. Huang and Michael A. de Rooij
Electronics 2025, 14(13), 2637; https://doi.org/10.3390/electronics14132637 - 30 Jun 2025
Viewed by 973
Abstract
GaN flying-capacitor-multi-level (FCML) Totem-Pole power-factor-correctors (PFCs) have been demonstrated with very high density and efficiency in the literature. However, there is still a lack of detailed discussion about flying capacitor voltage precharge during the start-up for GaN FCML Totem-Pole PFCs. To enhance the [...] Read more.
GaN flying-capacitor-multi-level (FCML) Totem-Pole power-factor-correctors (PFCs) have been demonstrated with very high density and efficiency in the literature. However, there is still a lack of detailed discussion about flying capacitor voltage precharge during the start-up for GaN FCML Totem-Pole PFCs. To enhance the reliability during start-up, we propose a multi-path and multi-step flying capacitor precharge method. In our proposed method, the bulky DC link capacitor is precharged through the path of the auxiliary line-frequency Si diode half-bridge and the body-diodes of the Si MOSFET half-bridge. The flying capacitors which have much smaller capacitances are precharged through the path of the GaN devices and the body-diodes of the Si half-bridge. The DC link capacitor is more than 100 times higher than the flying capacitor in this topology. Therefore, by splitting the total precharging current into two paths, the precharging current through the GaN devices is almost 100 times lower than that through the body-diodes of Si MOSFETs. As a result, this method protects expensive GaN devices from high inrush current and significantly improves the reliability of the GaN devices during the voltage precharge. Detailed operation principles and experimental verifications are presented in this paper. Full article
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14 pages, 16692 KB  
Article
A New Type of DC-DC Buck Converter with Soft Start Function and Reduced Voltage Stress
by Xin Wang, Zishuo Li, Zhen Lin and Fanyi Meng
J. Low Power Electron. Appl. 2025, 15(2), 29; https://doi.org/10.3390/jlpea15020029 - 7 May 2025
Viewed by 2718
Abstract
This paper introduces a novel topology called the dual-path step-down converter with auxiliary switches to minimize voltage stress and enable wide voltage conversion ranges. The proposed dual-path step-down converter with auxiliary switches, which uses an inductor and flying capacitor as power conversion components, [...] Read more.
This paper introduces a novel topology called the dual-path step-down converter with auxiliary switches to minimize voltage stress and enable wide voltage conversion ranges. The proposed dual-path step-down converter with auxiliary switches, which uses an inductor and flying capacitor as power conversion components, helps to reduce the voltage stress on the power switches. By adding auxiliary switches, the proposed topology achieves the same voltage conversion ratio range as that of a conventional buck converter. Additionally, soft-start technology is incorporated to reduce the initial inrush current. Furthermore, this paper introduces a system-level design procedure for DC-DC converters. Designed for low-power applications with lithium-ion (Li-ion) batteries, the proposed converter steps down the battery voltage to 1.2 V. With a 380 nH inductor and a 5 µF output capacitor, the converter attains a peak efficiency of 90% under the conditions of 2.7 V to 1.2 V conversion. Full article
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22 pages, 16369 KB  
Article
Dynamic Performance Analysis and Fault Ride-Through Enhancement by a Modified Fault Current Protection Scheme of a Grid-Connected Doubly Fed Induction Generator
by Rameez Akbar Talani, Ghulam Sarwar Kaloi, Aamir Ali, Muhammad Ali Bijarani, Ghulam Abbas, Mohammed Hatatah, Paolo Mercorelli and Ezzeddine Touti
Machines 2025, 13(2), 110; https://doi.org/10.3390/machines13020110 - 29 Jan 2025
Cited by 2 | Viewed by 1169
Abstract
With the increase in reliance on doubly fed induction generator-based wind energy conversion systems (DFIG-WECSs), extracting maximum power from wind energy and enhancing fault ride-through (FRT) techniques meeting the grid code requirements is the foremost concern. This paper proposes a modified control scheme [...] Read more.
With the increase in reliance on doubly fed induction generator-based wind energy conversion systems (DFIG-WECSs), extracting maximum power from wind energy and enhancing fault ride-through (FRT) techniques meeting the grid code requirements is the foremost concern. This paper proposes a modified control scheme that operates in normal running conditions and during faults as a dual mode. The proposed control scheme operates in a coordinated wind speed estimation-based maximum power point tracking (WSE-MPPT) mode during normal running conditions to extract maximum power from wind energy and enhances the crowbar rotor active impedance-based FRT mode during faults. The proposed technique controls the rotor side converter (RSC) parameters during faults by limiting the transient surge in the rotor and stator currents. In this study, the transient behavior of the proposed technique is analyzed under a three-phase symmetrical fault with a severe voltage dip, and it is observed that, when the fault is over and the RSC is activated and connected to the system, a large inrush current is produced with transient oscillations; the proposed scheme suppresses this post-fault inrush current and limits the transient oscillation. During the FRT operating mode under a symmetrical fault, the simulation results of the proposed technique are validated by the conventional crowbar strategy. In contrast, during the WSE-MPPT operating mode under normal running conditions, a smooth achievement of system parameters after starting the inrush period to a steady state at fixed wind speed is observed. Full article
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16 pages, 3622 KB  
Article
A Soft Start Method for Doubly Fed Induction Machines Based on Synchronization with the Power System at Standstill Conditions
by José M. Guerrero, Kumar Mahtani, Itxaso Aranzabal, Julen Gómez-Cornejo, José A. Sánchez and Carlos A. Platero
Machines 2024, 12(12), 847; https://doi.org/10.3390/machines12120847 - 25 Nov 2024
Cited by 3 | Viewed by 1696
Abstract
Due to their exceptional operational versatility, doubly fed induction machines (DFIM) are widely employed in power systems comprising variable renewable energy-based electrical generation sources, such as wind farms and pumped-storage hydropower plants. However, their starting and grid synchronization methods require numerous maneuvers or [...] Read more.
Due to their exceptional operational versatility, doubly fed induction machines (DFIM) are widely employed in power systems comprising variable renewable energy-based electrical generation sources, such as wind farms and pumped-storage hydropower plants. However, their starting and grid synchronization methods require numerous maneuvers or additional components, making the process challenging. In this paper, a soft start method for DFIM, inspired by the traditional synchronization method of synchronous machines, is proposed. This method involves matching the frequencies, voltages, and phase angles on both sides of the main circuit breaker, by adjusting the excitation through the controlled power converter at standstill conditions. Once synchronization is achieved, the frequency is gradually reduced to the rated operational levels. This straightforward starting method effectively suppresses large inrush currents and voltage sags. The proposed method has been validated through computer simulations and experimental tests, yielding satisfactory results. Full article
(This article belongs to the Section Electrical Machines and Drives)
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29 pages, 6727 KB  
Article
Measurement Verification of a Developed Strategy of Inrush Current Reduction for a Non-Loaded Three-Phase Dy Transformer
by Marian Łukaniszyn, Łukasz Majka, Bernard Baron, Barbara Kulesz, Krzysztof Tomczewski and Krzysztof Wróbel
Energies 2024, 17(21), 5368; https://doi.org/10.3390/en17215368 - 28 Oct 2024
Cited by 1 | Viewed by 1419
Abstract
This article presents the measurement verification of a novel strategy for inrush current reduction in an unloaded three-phase Dy transformer. The strategy combines appropriate pre-magnetization of transformer cores with an original control switching system using initial phase values of the supply voltage as [...] Read more.
This article presents the measurement verification of a novel strategy for inrush current reduction in an unloaded three-phase Dy transformer. The strategy combines appropriate pre-magnetization of transformer cores with an original control switching system using initial phase values of the supply voltage as control variables. Measurements were recorded for primary voltages and currents as well as secondary voltages during transient states at start-up under no-load conditions. Various inrush scenarios were examined across the full angular spectrum of initial phase angles, both polarities, and in regard to different pre-magnetization current values. A detailed analysis of the inrush currents was performed using proprietary automated software based on the recorded data. A comparative study with a nonlinear mathematical model of the transformer was also conducted. Additionally, key technical aspects of the designed system for implementing the proposed pre-magnetization strategy with controlled voltage energization are discussed. Full article
(This article belongs to the Special Issue Design, Analysis, Optimization and Control of Electric Machines)
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22 pages, 4919 KB  
Article
Practical Experiments with a Ready-Made Strategy for Energizing a Suitable Pre-Magnetized Three-Column Three-Phase Dy Transformer in Unloaded State for Inrush Current Computations
by Marian Łukaniszyn, Łukasz Majka, Bernard Baron, Marcin Sowa, Krzysztof Tomczewski and Krzysztof Wróbel
Energies 2024, 17(10), 2298; https://doi.org/10.3390/en17102298 - 10 May 2024
Cited by 2 | Viewed by 1849
Abstract
This article presents the results of an experimental verification of three-phase Dy transformer dynamics under no-load conditions. This study is motivated by previous ferroresonance analyses where the occurrence of inrush currents has been observed. The measurements covered all available electrical quantities in a [...] Read more.
This article presents the results of an experimental verification of three-phase Dy transformer dynamics under no-load conditions. This study is motivated by previous ferroresonance analyses where the occurrence of inrush currents has been observed. The measurements covered all available electrical quantities in a transient state (12 measured and 3 additionally computed waveforms) during the device’s start-up under no-load conditions, as well as in a long-term steady state. A detailed analytical analysis is carried out for the obtained comprehensive set of measurement results. As a result of the conducted research, the mathematical model of the pre-magnetized three-phase Dy transformer is modified. Particular attention is paid to the issue of residual magnetism of the transformer core and its consideration in further research. The original strategy for energizing a three-column three-phase Dy transformer with a suitable pre-magnetization of its columns and original control switching system with a given/set value of the initial phase in the supply voltage is put to the test. The evolution of the induced inrush phenomenon up to the quasi-steady state under given (forced) conditions is documented (currents, voltages and the dynamics of changes taking place in the core (hysteresis loops)). This article represents a continuation of ongoing work on the study of transient states (dynamics of transformer inrush currents). At present, the Dy three-phase transformer is analyzed because of the requirements of industrial operators. Full article
(This article belongs to the Section F1: Electrical Power System)
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20 pages, 33448 KB  
Article
A New Method of Reducing the Inrush Current and Improving the Starting Performance of a Line-Start Permanent-Magnet Synchronous Motor
by Wojciech Szelag, Cezary Jedryczka and Mariusz Baranski
Energies 2024, 17(5), 1040; https://doi.org/10.3390/en17051040 - 22 Feb 2024
Cited by 5 | Viewed by 2438
Abstract
This paper presents a new method of reducing the inrush current and improving the starting performance of a line-start permanent-magnet synchronous motor (LSPMSM). The novelty of the proposed method relies on the selection of the time instant of the connection of the stator [...] Read more.
This paper presents a new method of reducing the inrush current and improving the starting performance of a line-start permanent-magnet synchronous motor (LSPMSM). The novelty of the proposed method relies on the selection of the time instant of the connection of the stator winding to the grid, for which the smallest values of the amplitudes of inrush currents are obtained. To confirm the effectiveness of the developed method of limiting the inrush current, simulations and experimental studies were carried out. The algorithm and dedicated computer code developed by the authors for the analysis of transient coupled phenomena in the LSPMSM were used to study the impact of the time instant of connection of the winding to the grid on the motor start-up process. The algorithm was based on a field model of coupled electromagnetic and thermal phenomena in the studied motor. To verify the developed model of the phenomena and the proposed method, experimental research was carried out on a purpose-built computerised test stand. Good concordance between the results of the experiments and simulations confirmed the high reliability of the proposed model, as well as the effectiveness of the developed approach in limiting the inrush current and improving the starting performance of LSPMSMs. Full article
(This article belongs to the Special Issue New Challenges and Development of Electric Machines)
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15 pages, 6025 KB  
Article
Hybrid Control-Based Closed-Loop Soft Start-Up Method for LLC Resonant Converters
by Tian Gao, Youzhi Wang, Yongming Gao, Gang Sun, Haoyue Wang and Jing Hou
Electronics 2023, 12(22), 4563; https://doi.org/10.3390/electronics12224563 - 7 Nov 2023
Cited by 4 | Viewed by 3735
Abstract
LLC resonant converters are prone to generating a large inrush current during the start-up process, which will cause damage to the resonant elements and threaten the safe operation of the circuit. In this study, we investigate the soft-start method to suppress the inrush [...] Read more.
LLC resonant converters are prone to generating a large inrush current during the start-up process, which will cause damage to the resonant elements and threaten the safe operation of the circuit. In this study, we investigate the soft-start method to suppress the inrush current of an LLC resonant converter. Based on the traditional frequency-decreasing method, we integrate PWM control to broaden the output voltage gain range during the start-up. Additionally, to ensure the smooth establishment of the output voltage, the controller performs the closed-loop control of the duty cycle and frequency in sequence based on the rate of output voltage rise. A prototype experiment based on STM32F334C8T6 is established to experimentally validate the presented soft start-up method. The experiment results indicate that the soft start-up method improves the start-up performance, reduces the maximum inrush current by 47.5% compared with that of the frequency-decreasing method, and builds up the output voltage quickly. The start-up process is smooth, which improves the reliability of the LLC resonant converter. Full article
(This article belongs to the Special Issue Digital Control of Power Electronics)
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15 pages, 4725 KB  
Article
Proposed Z-Source Electrical Propulsion System of a Fuel Cell/Supercapacitor-Powered Ship
by Shihong Gan, Weifeng Shi and Xiaoyan Xu
J. Mar. Sci. Eng. 2023, 11(8), 1543; https://doi.org/10.3390/jmse11081543 - 2 Aug 2023
Cited by 5 | Viewed by 1898
Abstract
The use of green energy to power ships in the marine industry has attracted increasing attention in recent years. This paper presents an inland river cruise ship supplied by a fuel cell (FC) as the main power source and a supercapacitor (SC) as [...] Read more.
The use of green energy to power ships in the marine industry has attracted increasing attention in recent years. This paper presents an inland river cruise ship supplied by a fuel cell (FC) as the main power source and a supercapacitor (SC) as the auxiliary power source. Its propulsion inverter adopts the proposed high-boost Z-source inverter, and the proposed high-voltage-boost Z-source inverter (HVB-ZSI) principle is studied. The advantages of this proposed HVB-ZSI in two cases are verified through simulation. In case 1, it can be seen that the capacitance voltage is only 250 V, and the maximum inductance’s inrush current at the start is less than 200 A. But the capacitance voltage of HVB-ZSI reaches 383 V, and the inrush current is 300 A. While considering different constraints of the propulsion system, four operating modes for the set of the FC and SC are proposed. The small-signal model of the propulsion system is derived, and the control strategy is studied. By controlling the shoot-through duty cycle and modulation factor, the FC power, output power, and state of charge (SOC) of the SC can be controlled. Finally, to verify the performance of the proposed propulsion system, a hybrid power ship prototype equipped with a 7.5 kw propulsion motor is constructed. Four modes of the entire system are simulated by MATLAB/SIMULINK, and its performance is analyzed with experimental results. These results show that the new Z-source propulsion system has a promising application in new energy ships, as it has higher reliability and lower complexity and cost compared to conventional propulsion systems. Full article
(This article belongs to the Special Issue Advances in Marine Propulsion II)
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17 pages, 14693 KB  
Article
A Soft-Start-Based Method for Active Suppression of Magnetizing Inrush Current in Transformers
by Chunyan Li, Yi Yang, Wenyan Li and Haixiao Li
Electronics 2023, 12(14), 3114; https://doi.org/10.3390/electronics12143114 - 18 Jul 2023
Cited by 6 | Viewed by 3398
Abstract
The occurrence of high-amplitude magnetizing inrush current during the energization of a transformer without load poses significant challenges to the stable operation of both the transformer and the power grid, potentially leading to malfunctions in relay protection devices. This paper analyzes the underlying [...] Read more.
The occurrence of high-amplitude magnetizing inrush current during the energization of a transformer without load poses significant challenges to the stable operation of both the transformer and the power grid, potentially leading to malfunctions in relay protection devices. This paper analyzes the underlying mechanisms of transformer inrush current and presents a novel approach utilizing a soft-start-based method for effectively suppressing inrush currents. The proposed method employs an inrush current suppressor comprising anti-parallel thyristors and filters to mitigate the adverse effects caused by the inrush current. A comparative study is conducted to evaluate the filtering efficacy of three types of filters incorporated in the inrush current suppressor: an LCLC damping filter, a high-order single trap filter and a high-order double trap filter. Through careful analysis and optimization, the high-order double trap filter with parallel RC damping damper is selected as the optimal configuration. To ensure effective suppression, it is necessary to incorporate a filter at the termination point of the anti-parallel thyristor. Additionally, a closed-loop control strategy is implemented to ensure a smooth start and actively suppress the magnetizing inrush current. To validate the effectiveness of the proposed method, comprehensive simulations are performed using Matlab/Simulink. The results demonstrate the successful suppression of inrush current and the maintenance of stable operation for the transformer. This inrush suppression method does not require considering the influence of residual magnetism and the grounding mode of the transformer’s neutral point. It is also suitable for various transformer structures and wiring methods, which makes it highly applicable. Full article
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17 pages, 4166 KB  
Article
FPGA-Based Smart Sensor to Detect Current Transformer Saturation during Inrush Current Measurement
by G. de J. Martínez-Figueroa, Felipe Córcoles-López and Santiago Bogarra
Sensors 2023, 23(2), 744; https://doi.org/10.3390/s23020744 - 9 Jan 2023
Cited by 6 | Viewed by 3990
Abstract
Current transformer saturation affects measurement accuracy and, consequently, protection reliability. One important concern in the case of overcurrent protections is the discrimination between faults and inrush current in power transformers. This paper presents an FPGA-based smart sensor to detect current transformer saturation, especially [...] Read more.
Current transformer saturation affects measurement accuracy and, consequently, protection reliability. One important concern in the case of overcurrent protections is the discrimination between faults and inrush current in power transformers. This paper presents an FPGA-based smart sensor to detect current transformer saturation, especially during inrush current conditions. Several methods have been proposed in the literature, but some are unsuitable for inrush currents due to their particular waveform. The proposed algorithm implemented on the smart sensor uses two time-domain features of the measured secondary current: the second-order difference function and the third-order statistic central moment. The proposed smart sensor presents high effectiveness and immunity against noise with accurate results in different conditions: different residual flux, resistive burdens, sampling frequency, and noise levels. The points at which saturation starts are detected with an accuracy of approximately 100%. Regarding the end of saturation, the proposed method detects the right ending points with a maximum error of a sample. The smart sensor has been tested on experimental online and real-time conditions (including an anti-aliasing filter) with accurate results. Unlike most existing methods, the proposed smart sensor operates efficiently during inrush conditions. The smart sensor presents high-speed processing despite its simplicity and low computational cost. Full article
(This article belongs to the Special Issue Sensing and Measurement for Advanced Power Grids)
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29 pages, 16333 KB  
Article
Research on Bidirectional Isolated Charging System Based on Resonant Converter
by Kai Zhou and Yue Sun
Electronics 2022, 11(21), 3625; https://doi.org/10.3390/electronics11213625 - 6 Nov 2022
Cited by 5 | Viewed by 2968
Abstract
This paper proposes a two-stage bidirectional isolated charging system, which can realize the bidirectional flow of electric energy, not only making the electric energy flow from the grid side to the battery side but also converting the battery’s energy into single-phase alternating current [...] Read more.
This paper proposes a two-stage bidirectional isolated charging system, which can realize the bidirectional flow of electric energy, not only making the electric energy flow from the grid side to the battery side but also converting the battery’s energy into single-phase alternating current to supply other electric equipment. The charging system also has the function of power factor correction and wide-range voltage output. The front stage of the charging system is a bidirectional totem pole structure power factor correction converter with a voltage and current double closed-loop control strategy to ensure the stability of the DC bus voltage, and the rear stage is a bidirectional CLLLC resonant converter, which adopts a high-frequency soft start strategy to reduce the inrush current during start-up and ensure the safe operation of the converter. Moreover, the frequency control strategy is used to make it have a wide range of DC output characteristics. In this paper, the principle analysis and parameter calculation of the charging system is carried out, the simulation platform and hardware circuit design are built, and a test prototype is piloted to verify the bidirectional operating characteristics of the charging system. The simulation and experimental results demonstrate the correctness of the theoretical analysis and topology design. Full article
(This article belongs to the Special Issue Energy Storage, Analysis and Battery Usage)
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16 pages, 5191 KB  
Article
Solid-Rotor Induction Motor Modeling Based on Circuit Model Utilizing Fractional-Order Derivatives
by Jan Staszak
Energies 2022, 15(17), 6371; https://doi.org/10.3390/en15176371 - 31 Aug 2022
Cited by 7 | Viewed by 2898
Abstract
This paper presents the Park model of a solid-rotor induction motor. In this model, the dynamic state of the motor is described by integer and noninteger order differential equations. The skin effect in the solid rotor was represented by resistance and inductance with [...] Read more.
This paper presents the Park model of a solid-rotor induction motor. In this model, the dynamic state of the motor is described by integer and noninteger order differential equations. The skin effect in the solid rotor was represented by resistance and inductance with lumped constants, and the fractional inductance was dependent on the frequency of the eddy current induced in the rotor. The parameters of the equivalent circuit were determined by the standstill frequency response test with the stationary machine on the basis of the finite element method analysis of the electromagnetic field. A simulation of the dynamic states of the induction motor with a solid rotor was carried out based on the calculated parameters. The simulation was carried out using a program written in the Matlab environment. The simulations show that the electromagnetic moment during the motor start-up is about 2 times greater than the initial torque in the steady state. On the other hand, the maximum value of the stator current during the start-up is about 1.5 times greater than the effective value of the inrush current in the steady state. A good agreement was obtained between the results calculated from the distribution of the magnetic field by the finite element method and the results obtained on the basis of the equivalent circuit and, in the case of the electromagnetic torque, with the results obtained from the transient state during motor reversal. Full article
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