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A Mathematical Model of a Collector Traction Motor with Separate Consideration of Eddy Currents of the Main and Additional Poles
... Thus, when modeling motors with pulsating current of series excitation, the main problem is the reproduction of the dependence of the magnetic flux on the currents of the excitation winding and the armature, which implies the presence of an adequate model of the Weber-ampere characteristic. In connection with this factor, models that take into account the nonlinearity of the magnetic characteristic and the influence of eddy currents and magnetic losses in the magnetic circuit of the electric motor are in demand [18]. ...
... Since PCM always work in the loaded mode, the electrodynamic processes in the electric motor should also be modeled taking into account the load. In work [18], this factor was not taken into account. ...
... Вирішення цієї проблеми може бути знайдено в роботі[50]. В даному дослідженні авторами запропонована математична модель тягового двигуна пульсуючого струму з врахуванням впливу вихрових струмів на характер електродинамічних процесів, що протікають в електричному двигуні.Оскільки двигуни постійного струму послідовного збудження завжди працюють у навантаженому режимі, електродинамічні процеси в електродвигуні також слід моделювати з врахуванням навантаження.Підтвердженням цього можуть служити дослідження[51][52][53], де автори показують автори показують зв'язок характеру навантаження з механічними характеристиками ДПС.Крім того в роботах[54][55][56] показаний вплив навантаження на магнітну характеристику двигуна, від якої, в свою чергу, залежать електромагнітні характеристики ДПС. Але в зазначених роботах не показаний перехід від математичних моделей до реалізації їх в імітаційні моделі.Φ -загальний магнітний потік двигуна.Конструктивний постійний коефіцієнт для ЕРС для швидкості обертання валу, вираженій в об/хв, визначається виразом ...
The monograph is dedicated to the creation of scientific foundations for the selection of optimal parameters and operating modes of the reactive power compensation system on AC electric locomotives. The factors that have the greatest impact on the quality of the traction power supply on the side of the alternating current electric rolling stock are analyzed. It is shown that the nature of operation of electric rolling stock leads to non-determinism and non- ergodicity of the voltage change process in the catenary. Mathematical and software-oriented models of operation of an AC traction electric locomotive have been created, the distinctive features of which are the possibility of taking into account the modes of operation of the electric locomotive. A control system for the active part of the hybrid reactive power compensator has been developed, which is based on an algorithm for determining the spectral components of the traction current based on the Levinson-Darbin linear prediction method. This makes it possible to take into account the random nature of the voltage change on the current receivers of the electric locomotive and to adapt the work of the compensator to the voltage parameters of the catenary network.
... Accounting for the effect of eddy currents when modeling a pulsating current traction motor can be found in [10][11][12], but these works do not take into account magnetic losses in the steel of the traction motor. ...
The object of research is the electrical processes in the control system of the traction drive of the electric locomotive VL-80K (Russia). To improve the accuracy of its mathematical model, it is necessary to use the values of the parameters determined during experimental studies of the traction drive control system. In particular, it is important to use in the traction drive model the value of the voltages on the arms of the rectifier installation of the electric locomotive, taking into account the position of the driver's controller. The complexity of the simulation lies in the fact that the reference does not provide the value of the voltage on the arms of the rectifier for each position of the driver's controller, which makes it difficult to verify the resulting model. A scheme for measuring the voltage value on the arms of the rectifier installation of an electric locomotive for each position of the position of the driver's controller is proposed. On its basis, a simulation model is developed in the MATLAB software environment. The simulation model implements an algorithm for closing the contactors of the electric group contactor for each position of the position of the driver's controller. Approbation of the voltage measurement technique was carried out on an electric locomotive of the VL-80K series during a trip on the Darnytsia-Myronivka section (Ukraine). Comparison of the voltage values on the arms of the rectifier installation, obtained experimentally, with the passport data showed that the measurement error was 0.5 %. In addition, the experimental results showed that the voltages on the arms of the rectifier for paired positions of the position of the driver's controller are the same, for odd ones they are different. Therefore, when simulating the operation of the traction drive control system, the voltage values on different arms of the rectifier installation were taken separately. Comparison of the simulation results for the nominal mode with passport data showed that for this mode the measurement error was 3.78 %. For all others, it did not exceed 5 %.
... Since DC motors of series excitation always operate in the loaded mode, electrodynamic processes in the electric motor should also be modeled taking into account the load. This can be confirmed by studies presented in works by [4][5][6]. The authors show relationship between the nature of load and mechanical characteristics of DCM. ...
The aim of the work is to develop a mathematical model of the traction motor of the pulsating current of an electric locomotive taking into account the magnetic losses in the motor steel to determine the starting parameters depending on the voltage of the armature winding. Methodology. Mathematical modeling of electromagnetic processes in a traction motor of pulsating current is applied taking into account the nonlinear nature of the armature inductance, the inductance of the excitation winding and the nonlinear nature of the universal magnetic characteristic. The magnetic losses in the steel of the traction motor were taken into account by establishing the dependence of these losses on the frequency of reversal, the magnetic flux in the magnetic circuit of the motor and the geometric dimensions of the motor. Results. The mathematical model of calculation of starting parameters of the traction engine of the pulsating current of the traction drive of the electric locomotive of alternating current taking into account the equation of instantaneous value of losses in engine steel is developed. The dynamic characteristics of the traction motor with pulsating current are obtained. It allows to investigate starting parameters of the traction engine on the basis of the received mathematical model and to design elements of the traction drive of the electric locomotive according to the specification, to choose optimum design parameters. Originality. For the first time a comprehensive study of the pulsating current traction motor was carried out taking into account the nonlinear nature of the armature inductance, excitation winding inductance and nonlinear nature of the universal magnetic characteristic and taking into account the magnetic losses in the motor steel. Practical significance. The model of the traction motor of pulsating current taking into account losses in steel of the engine on the basis of the carried-out calculation is developed. Experimental studies have confirmed the adequacy of the model, which allows to apply the obtained model to develop a mathematical model of an AC electric locomotive to study the electrodynamic processes in it at different modes of operation of the electric locomotive.
An effective circuit solution and algorithms of automatic control of electric locomotives of 3EС5K “Ermak” type with the capacity of 9840 kW of alternating current based on the application of controlled bridge IGBT converters shunting the excitation windings of traction motors with the capacity of 820 kW are developed. It made it possible to realize trac-tion characteristics of independent and series excitation of motors, as well as to perform axial and bogie control of elec-tric locomotive traction force. To solve the problems of structural and parametric synthesis of the proposed power elec-tric scheme of the electric locomotive, the calculations with the use of methods of mathematical modeling of electro-magnetic, electromechanical and mechanical processes in Matlab/Simulink environment were performed, which con-firmed the possibility of implementing the scheme of individual control of traction electric motors currents and their excitation currents. The developed power scheme and algorithm of axial and bogie control of traction force with the use of controlled excitation converters provide smooth increase of this force and improve the conditions of traction of elec-tric locomotive wheels with rails. The results of the performed calculations confirmed the advantages of the proposed power electric scheme of the electric locomotive.
The article focuses on the development of an effective design and algorithms for automatic control of singlephase DC electric locomotives according to the laws of constant traction force and power without switching electrical devices within power electric circuits. Methods of mathematical modelling for electromagnetic, electromechanical, and mechanical processes by MatLab, Simulink, and SimPowerSystems software were used to address this problem. The nonlinearities of the magnetisation curve were taken into account, along with the influence of eddy currents from the coils of the main and additional poles in traction motors. Structural and parametric synthesis of a power electrical circuit and control algorithms by controlled bridge IGBT converters were used in the simulation. The object of the research was an electrotechnical complex, including a 9840 kW three-stack electric locomotive 3ES5K “Ermak”. On the basis of the research results, it is recommended to use a power electrical circuit with two reversible converters for each of the three sections on the electric locomotive. These converters provide power to four 820 kW traction motors and a group power supply for controlled bridge IGBT converters shunting the field coils for axial traction control. The calculations confirmed the applicability of a scheme for individual control of traction electric motors and excitation currents, ensuring a smooth increase in the traction force of an electric locomotive. The developed algorithm of axial traction control ensures a smooth increase in this force and creates the optimal conditions for coupling the wheels of an electric locomotive with rails. These solutions can be used in the manufacture and modernisation of new and existing electric locomotives
The influence of the nonlinearity of the magnetization curve of a traction electric engine on transient processes in the power circuit of an electric locomotive
- A S Alekseev
Perekhodnye protsessy v mashinakh postoyannogo toka (Transitional Processes in DC Machines)
- M Z Zhits
Proektirovanie tyagovykh elektricheskikh mashin (Design of Traction Electrical Machines
- M D Nakhodkin
- G V Vasilenko
- V I Bocharov
- M A Kozorezov