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Keywords = electric racing car

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18 pages, 1543 KiB  
Article
Research on Trajectory Tracking Control of Driverless Electric Formula Racing Cars Based on Prescribed Performance and Fuzzy Logic Systems
by Xinyu Liu, Gang Li, Hao Qiao and Wanbo Cui
World Electr. Veh. J. 2025, 16(8), 424; https://doi.org/10.3390/wevj16080424 - 28 Jul 2025
Viewed by 145
Abstract
Driverless electric formula racing cars are affected by nonlinear vehicle characteristics, perturbations, and parameter uncertainties during races, which can cause problems such as low accuracy and instability in trajectory tracking. Aiming to address such problems, this paper proposes a control method combining a [...] Read more.
Driverless electric formula racing cars are affected by nonlinear vehicle characteristics, perturbations, and parameter uncertainties during races, which can cause problems such as low accuracy and instability in trajectory tracking. Aiming to address such problems, this paper proposes a control method combining a prescribed performance control with adaptive backstepping fuzzy control (PPC-ABFC) to solve the aforementioned issues and improve the trajectory tracking accuracy and stability of racing cars. This control method is achieved by constructing a combined error model and confining the error within a prescribed performance function. The nonlinear terms, disturbances, and unknown parameters of the model are approximated by a fuzzy logic system (FLS). An adaptive parameter update law is designed to update the learning parameters in real time. The virtual control law and the real control law were designed by using the backstepping method. The stability of the PPC-ABFC closed-loop system was rigorously proved by applying the Lyapunov stability theory. Finally, simulations were conducted to compare the proposed PPC-ABFC method with other algorithms at different speeds. The results demonstrated that the PPC-ABFC method effectively enhances the trajectory tracking performance of driverless electric formula racing cars. Full article
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18 pages, 3583 KiB  
Article
Coordinated Slip Ratio and Yaw Moment Control for Formula Student Electric Racing Car
by Yuxing Bai, Weiyi Kong, Liguo Zang, Weixin Zhang, Chong Zhou and Song Cui
World Electr. Veh. J. 2025, 16(8), 421; https://doi.org/10.3390/wevj16080421 - 26 Jul 2025
Viewed by 217
Abstract
The design and optimization of drive distribution strategies are critical for enhancing the performance of Formula Student electric racing cars, which face demanding operational conditions such as rapid acceleration, tight cornering, and variable track surfaces. Given the increasing complexity of racing environments and [...] Read more.
The design and optimization of drive distribution strategies are critical for enhancing the performance of Formula Student electric racing cars, which face demanding operational conditions such as rapid acceleration, tight cornering, and variable track surfaces. Given the increasing complexity of racing environments and the need for adaptive control solutions, a multi-mode adaptive drive distribution strategy for four-wheel-drive Formula Student electric racing cars is proposed in this study to meet specialized operational demands. Based on the dynamic characteristics of standardized test scenarios (e.g., straight-line acceleration and figure-eight loop), two control modes are designed: slip-ratio-based anti-slip control for longitudinal dynamics and direct yaw moment control for lateral stability. A CarSim–Simulink co-simulation platform is established, with test scenarios conforming to competition standards, including variable road adhesion coefficients (μ is 0.3–0.9) and composite curves. Simulation results indicate that, compared to conventional PID control, the proposed strategy reduces the peak slip ratio to the optimal range of 18% during acceleration and enhances lateral stability in the figure-eight loop, maintaining the sideslip angle around −0.3°. These findings demonstrate the potential for significant improvements in both performance and safety, offering a scalable framework for future developments in racing vehicle control systems. Full article
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15 pages, 1703 KiB  
Article
Filtering Process to Optimize the Technical Data of Prototype Race Cars
by Attila Szántó, Éva Ádámkó and Gusztáv Áron Sziki
Appl. Sci. 2025, 15(12), 6889; https://doi.org/10.3390/app15126889 - 18 Jun 2025
Viewed by 224
Abstract
At the Faculty of Engineering, University of Debrecen, we have long been engaged in the design and development of self-constructed, predominantly electric, single-seat prototype race cars. To enhance the efficiency of both vehicle design and competitive performance, the authors previously developed a modular [...] Read more.
At the Faculty of Engineering, University of Debrecen, we have long been engaged in the design and development of self-constructed, predominantly electric, single-seat prototype race cars. To enhance the efficiency of both vehicle design and competitive performance, the authors previously developed a modular technical data optimization software. This tool comprises two key modules: a vehicle dynamics simulation program that derives driving dynamics from technical specifications (parameters) and an optimization module that fine-tunes these parameters for various racing scenarios. However, the large number of input variables often renders the optimization process computationally intensive and time-consuming. To address this challenge, we introduce a novel filtering process designed to streamline the optimization process. This method systematically identifies and excludes parameters whose uncertainties exert minimal influence on the simulation outcomes. This approach significantly reduces computational overhead, thereby accelerating the optimization process. Full article
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20 pages, 6824 KiB  
Article
Basic Study on Operation Control Systems of Internal Combustion Engines in Hybrid Small Race Cars to Improve Dynamic Performance
by Hayato Yamada, Masamune Kobayashi, Yusuke Ebashi, Shinobu Kasamatsu, Ikkei Kobayashi, Jumpei Kuroda, Daigo Uchino, Kazuki Ogawa, Keigo Ikeda, Taro Kato, Xiaojun Liu, Ayato Endo, Mohamad Heerwan Bin Peeie, Takayoshi Narita and Hideaki Kato
Vehicles 2025, 7(2), 41; https://doi.org/10.3390/vehicles7020041 - 30 Apr 2025
Viewed by 564
Abstract
Hybrid vehicles utilize multiple power sources, making them energy-efficient and enhancing both fuel efficiency and dynamic performance. As a result, hybrid vehicles have recently been adopted as race cars, which demand high powertrain performance. The hybrid vehicle system comprises two power sources: an [...] Read more.
Hybrid vehicles utilize multiple power sources, making them energy-efficient and enhancing both fuel efficiency and dynamic performance. As a result, hybrid vehicles have recently been adopted as race cars, which demand high powertrain performance. The hybrid vehicle system comprises two power sources: an internal combustion engine (ICE) and an electric motor, both of which require precise control. Controlling the output of the internal combustion engine is particularly challenging. This study investigated the dynamic response of an actuator in an electronic throttle system. The experimental results demonstrated that optimized parameters significantly improved the dynamic response. As a result, we propose a mechanism for hybrid vehicle performance and report the characteristics of an electronic throttle. The improvement in throttle opening can be verified by adjusting the P term. Full article
(This article belongs to the Topic Vehicle Dynamics and Control, 2nd Edition)
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33 pages, 15774 KiB  
Article
Low-Voltage Control Circuits of Formula Student Electric Racing Cars
by Ahmed Darwish Badawy, Stefan Sfranciog, Jorge Takeshi Hiranoyama, Jaime Lacasta Ibarrola, James Engstrom, Kirollos Mikhail, William Hunt, Joshua Hartley, Fatemeh Nasr Esfahani and Amos Dexter
Hardware 2024, 2(3), 190-222; https://doi.org/10.3390/hardware2030010 - 3 Aug 2024
Cited by 1 | Viewed by 9808
Abstract
Formula Student (FS) competitions aim to prepare and encourage engineering students to participate in the progression of automotive and motorsport industries. The built racing cars adhere to strict regulations set by competition guidelines to ensure the safety of both teams and spectators. For [...] Read more.
Formula Student (FS) competitions aim to prepare and encourage engineering students to participate in the progression of automotive and motorsport industries. The built racing cars adhere to strict regulations set by competition guidelines to ensure the safety of both teams and spectators. For electric racing cars, the high-voltage (HV) battery system usually operates within a voltage range between 100 V to 600 V to supply the motor and its controller with the required electrical power. It is essential to ensure that these components are operating effectively to minimize battery and motor current as well as to ensure efficient and reliable performance throughout the race. A low-voltage control system (LVCS), usually operating at 12 V, is used to coordinate a wide array of critical operational and safety functions to control the HV system. These functions include: (1) turning on/off procedures, (2) monitoring speed, voltage, and current, (3) interfacing with pedals, (4) controlling dashboard features, (5) managing lighting, (6) facilitating data communication, and (7) implementing safety protocols. The design and operation of the LVCS are crucial for compliance with safety regulations and enhancing the FS electric racing car (FSERC) performance. This details and discusses the design procedures of the LVCS, using the Lancaster E-Racing (LER) FSERC as a case study. The LER car employs a 400 V battery system to power a 68-kW permanent manet synchronous motor (PMSM) using a three-phase voltage source inverter. Using mathematical analysis, SIMULINK/MATLAB® computer simulations, and the experimental real-data results provided by the LER FSERC, this study seeks to offer valuable insights regarding the LVCS practical implementation and optimization. Full article
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17 pages, 2655 KiB  
Article
Optimizing Electric Racing Car Performance through Telemetry-Integrated Battery Charging: A Response Surface Analysis Approach
by A. F. Villa-Salazar, I. N. Gomez-Miranda, A. F. Romero-Maya, J. D. Velásquez-Gómez and K. Lemmel-Vélez
World Electr. Veh. J. 2024, 15(7), 317; https://doi.org/10.3390/wevj15070317 - 18 Jul 2024
Cited by 1 | Viewed by 4316
Abstract
The link between the world of communications and the world of racing is provided by the telemetry systems in electric racing cars. These systems send real-time data about the vehicle’s behavior and systems to enable informed decisions during the race. The objective of [...] Read more.
The link between the world of communications and the world of racing is provided by the telemetry systems in electric racing cars. These systems send real-time data about the vehicle’s behavior and systems to enable informed decisions during the race. The objective of this research was to integrate telemetry into the battery bank of an electric racing car in order to find the optimal values of current and voltage that optimize the charging process and thus improve the performance of the vehicle in competition using Response Surface Analysis. Specifically, the telemetry system consisted of an Arduino Mega, a digital wattmeter, and temperature sensors, all installed in the vehicle. Once the telemetry data were obtained, a response surface design was fitted with current, voltage, and temperature as factors varying from low to high values, with the objective function being to minimize the battery charging time. Using the response surface methodology and the steepest descent algorithm, it was found that all factors significantly affect the charging time, with the minimum charging time being 6961 s, obtained with a current of 2.4 amps and voltages of 50.5 volts and 43.6 volts. Full article
(This article belongs to the Special Issue Lithium-Ion Batteries for Electric Vehicle)
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24 pages, 4258 KiB  
Article
Holistic Testing and Characterization of Commercial 18650 Lithium-Ion Cells
by Nicolò Zatta, Bernardo De Cesaro, Enrico Dal Cin, Gianluca Carraro, Giovanni Cristofoli, Andrea Trovò, Andrea Lazzaretto and Massimo Guarnieri
Batteries 2024, 10(7), 248; https://doi.org/10.3390/batteries10070248 - 11 Jul 2024
Cited by 4 | Viewed by 3023
Abstract
Reduced-order electrothermal models play a key role in the design and control of lithium-ion cell stacks, calling for accurate model parameter calibration. This paper presents a complete electrical and thermal experimental characterization procedure for the coupled modeling of cylindrical lithium-ion cells in order [...] Read more.
Reduced-order electrothermal models play a key role in the design and control of lithium-ion cell stacks, calling for accurate model parameter calibration. This paper presents a complete electrical and thermal experimental characterization procedure for the coupled modeling of cylindrical lithium-ion cells in order to implement them in a prototype Formula SAE hybrid racing car. The main goal of the tests is to determine how the cell capacity varies with the temperature and the discharge current to predict the open-circuit voltage of the cell and its entropic component. A simple approach for the characterization of the battery equivalent electrical circuit and a two-step thermal characterization method are also shown. The investigations are carried out on four commercial 18650 NMC lithium cells. The model was shown to predict the battery voltage with an RMS error lower than 20 mV and the temperature with an RMS error equal to 0.5 °C. The authors hope that this manuscript can contribute to the development of standardized characterization techniques for such cells while offering experimental data and validated models that can be used by researchers and BMS designers in different applications. Full article
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20 pages, 4393 KiB  
Article
A Framework for Communicating and Building a Digital Twin Model of the Electric Car
by Tomasz Bednarz, Andrzej Baier and Iwona Paprocka
Appl. Sci. 2024, 14(5), 1776; https://doi.org/10.3390/app14051776 - 22 Feb 2024
Cited by 9 | Viewed by 2254
Abstract
The Fourth Industrial Revolution has had a huge impact on manufacturing processes and products. With rapidly growing technology, new solutions are being implemented in the field of digital representations of a physical product. This approach can provide benefits in terms of cost and [...] Read more.
The Fourth Industrial Revolution has had a huge impact on manufacturing processes and products. With rapidly growing technology, new solutions are being implemented in the field of digital representations of a physical product. This approach can provide benefits in terms of cost and testing time savings. In order to test and reflect the operation of an electric car, a digital twin model was designed. The paper collects all the information and standards necessary to transform the idea into a real and virtual model of an electric car. The significance and impact of the study on the improvement of the project are described. The research stand, correlations of components (DC and AC motors, shaft, and wheel of the electric car), and development prospects are presented in the paper. The communication method with the research stand is also presented. The digital twin should communicate in real time, which means obtaining the correct output when the input changes; the input is the AC motor current, and the output is the rotational speed of the DC motor. The relation between inputs and outputs are tested. The kinematics of the electric car are modelled in LabVIEW. The results obtained are compared with historic racing data. The track is also modeled based on satellite data, taking into account changes in terrain height, using the SG Telemetry Viewer application. The parameters of the electric car engine model are tuned based on actual data on the car’s speed and current in the electric motor. The achieved results are presented and then discussed. Full article
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17 pages, 15855 KiB  
Article
Design and Development of a Brake Test Bench for Formula SAE Race Cars
by Luca Vecchiato, Matteo Negri, Giulio Picci, Luca Viale, Giulio Zaltron, Stefano Giacometti and Giovanni Meneghetti
Machines 2024, 12(2), 135; https://doi.org/10.3390/machines12020135 - 14 Feb 2024
Cited by 5 | Viewed by 5624
Abstract
The optimization of the brake systems is crucial for vehicle performance and safety of Formula SAE (FSAE) race cars. This study introduces a specialized brake test bench designed to enhance the understanding and testing of these systems. The bench integrates a rotating mechanical [...] Read more.
The optimization of the brake systems is crucial for vehicle performance and safety of Formula SAE (FSAE) race cars. This study introduces a specialized brake test bench designed to enhance the understanding and testing of these systems. The bench integrates a rotating mechanical system mounting a brake disc-caliper group, which is driven by an electric motor, a pneumatic brake pedal assembly to simulate real braking conditions, and a comprehensive array of sensors that facilitate the measurement of critical parameters, such as rotation speed, braking torque, oil pressure, and disc temperature. Its structure, sensor integration, and control electronics are fully described, demonstrating the capability to replicate on-track scenarios in a controlled environment. The results underscore the utility of the bench in providing precise and consistent testing conditions essential for analyzing the efficiency, durability, and safety of the braking systems of FSAE race cars. Full article
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20 pages, 6682 KiB  
Article
Optimizing Parameters for an Electrical Car Employing Vehicle Dynamics Simulation Program
by Attila Szántó, Sándor Hajdu and Gusztáv Áron Sziki
Appl. Sci. 2023, 13(15), 8897; https://doi.org/10.3390/app13158897 - 2 Aug 2023
Cited by 6 | Viewed by 1535
Abstract
At the Faculty of Engineering of the University of Debrecen we have dealt with the design and construction of electric prototype race cars for more than a decade. With a focus on more conscious design and racing we developed a vehicle dynamics simulation [...] Read more.
At the Faculty of Engineering of the University of Debrecen we have dealt with the design and construction of electric prototype race cars for more than a decade. With a focus on more conscious design and racing we developed a vehicle dynamics simulation program, which can be used to generate the dynamics functions of the cars from their technical characteristics and data. In this publication, we deal with the optimization of the technical parameters of the above-mentioned cars for various competition tasks using our simulation program. This is a completely new field of application of the used optimization methods. This concept and idea can effectively help student teams all over the world to prepare for various domestic and international competitions. One of the applied methods is a graphic procedure, the other one is the widely used “adaptive simulated annealing” (ASA). After a brief description of the simulation program, the applied optimization methods and developed MATLAB codes for them are described. Finally, to demonstrate the effectiveness of the methods, we optimize the parameters of a prototype race car for different competition tasks and present the obtained results. Full article
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17 pages, 5636 KiB  
Article
A Multi-Disciplinary Approach for the Electrical and Thermal Characterization of Battery Packs—Case Study for an Electric Race Car
by Claudio Santarelli, Christopher Helbig, An Li, Benoit Honel, Thomas Nyhues and Fabian Böhm
World Electr. Veh. J. 2023, 14(4), 102; https://doi.org/10.3390/wevj14040102 - 10 Apr 2023
Cited by 1 | Viewed by 3815
Abstract
A novel, multi-disciplinary approach is presented where experiments, system simulation and Computational Fluid Dynamics are combined for the electrical and thermal characterization of an air-cooled battery pack. As a case study, a Formula Student race car is considered and the procedure proposed consists [...] Read more.
A novel, multi-disciplinary approach is presented where experiments, system simulation and Computational Fluid Dynamics are combined for the electrical and thermal characterization of an air-cooled battery pack. As a case study, a Formula Student race car is considered and the procedure proposed consists of three steps: (1) experimental characterization of the battery cells under several thermal conditions; (2) thermal and electrical modeling of the battery stack with system simulation; (3) three-dimensional, time-dependent Conjugate Heat Transfer simulation of the whole battery pack to investigate the cooling performance of the chosen design, and to access fundamental quantities of the batteries, such as state of charge, temperature and ohmic heating. Future improvements of the current work are discussed, including the extension to a liquid-cooled design, battery aging consideration and model integration into a full vehicle system model. Full article
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17 pages, 3926 KiB  
Article
Research on Trajectory Tracking Control of Driverless Electric Formula Racing Car Based on Game Theory
by Tian Tian, Gang Li, Ning Li and Hongfei Bai
World Electr. Veh. J. 2023, 14(4), 84; https://doi.org/10.3390/wevj14040084 - 25 Mar 2023
Cited by 2 | Viewed by 2217
Abstract
A game theory based trajectory tracking control method is studied for the dual-objective optimization problem of trajectory tracking the accuracy and driving stability of driverless electric formula racing cars in high-speed trajectory conditions. The general control strategy and the model predictive controller based [...] Read more.
A game theory based trajectory tracking control method is studied for the dual-objective optimization problem of trajectory tracking the accuracy and driving stability of driverless electric formula racing cars in high-speed trajectory conditions. The general control strategy and the model predictive controller based on the evolutionary game between the two players are designed to optimize their own decisions to achieve the optimal payoff for themselves, and to obtain the optimal solution to the dual-objective optimization problem, by taking the dual objectives of trajectory tracking accuracy and driving stability as the two players in the game. Considering the influence of the dynamic environment, the time-varying interactive game mechanism between two plays is introduced, the game payoff matrix is established, the weights of each subject are determined, and a dynamic replication system is constructed by weight evolution to find the optimal equilibrium strategy for the model prediction controller. The simulated results show that the designed controller can play a significant role in optimizing the trajectory tracking accuracy and driving stability compared to a single model predictive controller under different speed tracking conditions. Full article
(This article belongs to the Special Issue Advanced Vehicle System Dynamics and Control)
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17 pages, 3118 KiB  
Article
Coordinated Control of Unmanned Electric Formula Car
by Hua Tao and Baocheng Yang
World Electr. Veh. J. 2023, 14(3), 58; https://doi.org/10.3390/wevj14030058 - 24 Feb 2023
Viewed by 2045
Abstract
The coordinated control method of Unmanned Electric Formula Racing (UEFC) was studied to improve the handling stability of UEFC. The UEFC’s mechanical structure, which is based on the driving system and transmission system, was designed. In accordance with mechanical structure of the designed [...] Read more.
The coordinated control method of Unmanned Electric Formula Racing (UEFC) was studied to improve the handling stability of UEFC. The UEFC’s mechanical structure, which is based on the driving system and transmission system, was designed. In accordance with mechanical structure of the designed racing car, a seven-degree of freedom mathematical model of the UEFC was established. In accordance with the built mathematical model of racing car, the lateral controller of racing car was designed by using a fuzzy neural network method. The longitudinal controller of the racing car was designed by using the method of incremental PID control, and the coordination controller of the racing car was designed by combining the lateral controller and the longitudinal controller so as to realize the lateral and longitudinal coordination control of the UEFC. The experimental results showed that the output parameters such as yaw rate, vehicle speed and heading angle were slightly different from the expected output. It was confirmed that the research method can enhance the handling stability of the UEFC. Full article
(This article belongs to the Special Issue Recent Advance in Intelligent Vehicle)
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10 pages, 2222 KiB  
Article
Optimizing Torque Delivery for an Energy-Limited Electric Race Car Using Model Predictive Control
by Thomas Maull and Adriano Schommer
World Electr. Veh. J. 2022, 13(12), 224; https://doi.org/10.3390/wevj13120224 - 24 Nov 2022
Viewed by 3024
Abstract
This paper presents a torque controller for the energy optimization of the powertrain of an electric Formula Student race car. Limited battery capacity within electric race car designs requires energy management solutions to minimize lap time while simultaneously controlling and managing the overall [...] Read more.
This paper presents a torque controller for the energy optimization of the powertrain of an electric Formula Student race car. Limited battery capacity within electric race car designs requires energy management solutions to minimize lap time while simultaneously controlling and managing the overall energy consumption to finish the race. The energy-managing torque control algorithm developed in this work optimizes the finite onboard energy from the battery pack to reduce lap time and energy consumption when energy deficits occur. The longitudinal dynamics of the vehicle were represented by a linearized first-principles model and validated against a parameterized electric Formula Student race car model in commercial lap time simulation software. A Simulink-based model predictive controller (MPC) architecture was created to balance energy use requirements with optimum lap time. This controller was tested against a hardware-limited and torque-limited system in a constant torque request and a varying torque request scenario. The controller decreased the elapsed time to complete a 150 m straight-line acceleration by 11.4% over the torque-limited solution and 13.5% in a 150 m Formula Student manoeuvre. Full article
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18 pages, 8598 KiB  
Article
Measurement System for the Experimental Study and Testing of Electric Motors at the Faculty of Engineering, University of Debrecen
by Gusztáv Áron Sziki, Attila Szántó, János Kiss, György Juhász and Éva Ádámkó
Appl. Sci. 2022, 12(19), 10095; https://doi.org/10.3390/app121910095 - 8 Oct 2022
Cited by 7 | Viewed by 2983
Abstract
The Faculty of Engineering of the University of Debrecen has a long-standing tradition of developing electric and pneumatic-driven prototype race cars. These vehicles are regular participants in domestic and international university competitions. For more conscious development, thus, for more successful racing, a vehicle [...] Read more.
The Faculty of Engineering of the University of Debrecen has a long-standing tradition of developing electric and pneumatic-driven prototype race cars. These vehicles are regular participants in domestic and international university competitions. For more conscious development, thus, for more successful racing, a vehicle dynamics simulation program was developed by our research group. One of the main parts of the above program is the simulation of the drive system, including the electric motor. The input data for the motor simulation programs are the electromagnetic and dynamic characteristics of the motor. Most of these characteristics are usually not specified in the motor catalogue; thus, they have to be measured. In this paper, a detailed description of a recently developed measurement system (MS), which is capable of measuring all the above-mentioned characteristics, is presented. Additionally, by applying it, test measurements can also be performed on the motors to check the accuracy of the output functions generated by the simulation programs. Several experimental arrangements and procedures for specific experimental tasks are also presented here as examples for the application of the MS. Full article
(This article belongs to the Section Electrical, Electronics and Communications Engineering)
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