Analysis of the synchronous motors behavior in the transients for backup power supply. Purpose.

2020 ◽  
Vol 23 (2) ◽  
pp. 28-37
Author(s):  
V. F. SYVOKOBYLENKO ◽  
◽  
V.A. LYSENKO ◽  
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Power Supply ◽  
Optimization Methods ◽  
Synchronous Motor ◽  
Magnetic Core ◽  
Synchronous Motors ◽  
Salient Pole ◽  
Passport Data ◽  
The Mathematical Model

Simulation of transient and steady state modes of synchronous motors for the analysis of switching to backup power using mathematical model. Method. The methods of linear algebra, numerical optimization methods, methods of modeling and analysis of established and transient modes are used. Results. The mathematical model of the salient pole rotor and non-salient or cylindrical pole rotor synchronous motor is presented, which is presented in the form of a alternate scheme, which allows to take into account the effect of displacement of current and saturation of the non-salient pole rotor motor's magnetic core. A method for determining the parameters of the synchronous motor based on passport data is proposed, which allows to improve the accuracy of modeling in steady state and transient modes. The mathematical model is reduced to a three-phase coordinate system a, b, c of the stator winding. The rotor windings are modeled in the coordinates d, q. The results of mathematical modeling allow us to determine the magnitude of the shock currents and mechanical moments of the synchronous motor. It is shown that non-synchronous switching on of the synchronous motor, which occurs in case of automatic transfer switch, can lead to engine damage. Shock currents can also be dangerous to other power supply equipment. Thus, synchronous motors, if transfer switch is used, require synchronization before being connected to the network. Scientific novelty. The mathematical model of the synchronous motor was improved taking into account the displacement of current and saturation of the magnetic conduit, the method of determining the parameters of the mathematical model based on the passport data of the engine was improved, which allowed to increase the accuracy of the simulation and the reliability of the simulation results. The modes of power transfer switch are simulated and the values of shock current and shock mechanical moment of the engine are obtained. Practical meaning. The mathematical model of the synchronous motor allows to analyze the behavior of synchronous motors in interaction in the power supply system and to identify the dangerous states of synchronous motors that may occur during the transfer switching. The proposed model improves the accuracy of determination of the limits of dangerous states and improves the reliability of synchronous motors and power supply systems.

scholarly journals Optimal design of the rotor geometry of line-start permanent magnet synchronous motor using the bat algorithm

Open Physics ◽  
2017 ◽  
Vol 15 (1) ◽  
pp. 965-970 ◽  
Author(s):  
Łukasz Knypiński
Keyword(s):  
Mathematical Model ◽  
Permanent Magnet ◽  
Permanent Magnet Synchronous Motor ◽  
Bat Algorithm ◽  
Synchronous Motor ◽  
Permanent Magnet Synchronous Motors ◽  
Synchronous Motors ◽  
Basic Language ◽  
Visual Basic Language ◽  
The Mathematical Model

AbstractIn this paper an algorithm for the optimization of excitation system of line-start permanent magnet synchronous motors will be presented. For the basis of this algorithm, software was developed in the Borland Delphi environment. The software consists of two independent modules: an optimization solver, and a module including the mathematical model of a synchronous motor with a self-start ability. The optimization module contains the bat algorithm procedure. The mathematical model of the motor has been developed in an Ansys Maxwell environment. In order to determine the functional parameters of the motor, additional scripts in Visual Basic language were developed. Selected results of the optimization calculation are presented and compared with results for the particle swarm optimization algorithm.

scholarly journals Mathematical Model and Characteristics of the Induction Motor with a Power Supply from a Current Source

2021 ◽  
Vol 64 (5) ◽  
pp. 421-434
Author(s):  
V. S. Malyar ◽  
A. V. Malyar
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Power Supply ◽  
Skin Effect ◽  
Jacobi Matrix ◽  
Current Source ◽  
Static Characteristics ◽  
Squirrel Cage ◽  
The Mathematical Model ◽  
Electrical Equilibrium

. Methods and mathematical models for studying the modes and characteristics of the three-phase squirrel-cage induction motor with the power supplied to the stator winding from the current source have been developed. The specific features of the algorithms for calculating transients, steady-state modes and static characteristics are discussed. The results of the calculation of the processes and characteristics of induction motors with the power supply from the current source and the voltage source are compared. Steady-state and dynamic modes cannot be studied with a sufficient adequacy based on the known equivalent circuits; this requires using dynamic parameters, which are the elements of the Jacobi matrix of the system of equations of the electromechanical equilibrium. In the mathematical model, the state equations of the stator and rotor circuits are written in the fixed two-phase coordinate system. The transients are described by the system of differential equations of electrical equilibrium of the transformed circuits of the motor and the equation of the rotor motion and the steady-state modes by the system of algebraic equation. The developed algorithms are based on the mathematical model of the motor in which the magnetic path saturation and skin effect in the squirrel-cage bars are taken into consideration. The magnetic path saturation is accounted for by using the real characteristics of magnetizing by the main magnetic flux and leakage fluxes of the stator and rotor windings. Based on them, the differential inductances are calculated, which are the elements of the Jacobi matrix of the system of equations describing the dynamic modes and static characteristic. In order to take into account the skin effect in the squirrel-cage rotor, each bar along with the squirrel-cage rings is divided height-wise into several elements. As a result, the mathematical model considers the equivalent circuits of the rotor with different parameters which are connected by mutual inductance. The non-linear system of algebraic equations of electrical equilibrium describing the steady-state modes is solved by the parameter continuation method. To calculate the static characteristics, the differential method combined with the Newton’s Iterative refinement is used.

Analysis of mathematical models of transmission lines.

2020 ◽  
Vol 23 (2) ◽  
pp. 16-19
Author(s):  
G. SHEINA ◽  
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Transmission Lines ◽  
Power Supply ◽  
Power Supply System ◽  
Power Transmission ◽  
Supply System ◽  
Power Lines ◽  
Power Transmission Lines ◽  
The Mathematical Model

This paper investigates a mathematical model of one elements of the power supply system - power transmission lines. The type of models depends on the initial simplifications, which in turn are determined by the complexity of the physics of processes. The task of improving the accuracy of modeling of emergency processes in the power system is due to the significant complexity of modern power systems and their equipment, high-speed relay protection, automation of emergency management and the introduction of higher-speed switching equipment. One of the reasons for a significant number of serious emergencies in the system is the lack of complete and reliable information for modeling modes in the design and operation of power systems. The development of a mathematical model of a three-phase power line, which provides adequate reflection of both normal and emergency processes, is relevant. The advanced mathematical model of power transmission lines allows to investigate various operational modes of electric networks. The improved mathematical model of the power transmission line reflects all the features of physical processes at state modes and transient process and provides sufficient accuracy of the results. The type of mathematical model of power transmission lines depends on the accepted simplifications, depending on the task of research. The purpose of this work is to analyze the mathematical model of the power transmission line to study the modes of operation of the power supply system, with the possibility of its application to take into account all the design features of overhead and cable power lines. The mathematical model of the power line for the study of the modes of operation of the power supply system is analyzed. It is used to take into account the design features of overhead and cable power lines, skin effect.

scholarly journals New “Full-Bridge Buck Inverter–DC Motor” System: Steady-State and Dynamic Analysis and Experimental Validation

Electronics ◽  
2019 ◽  
Vol 8 (11) ◽  
pp. 1216 ◽  
Author(s):  
Eduardo Hernández-Márquez ◽  
Carlos Alejandro Avila-Rea ◽  
José Rafael García-Sánchez ◽  
Ramón Silva-Ortigoza ◽  
Magdalena Marciano-Melchor ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Motor System ◽  
Circuit Simulation ◽  
Dc Motor ◽  
Matlab Simulink ◽  
Duty Cycles ◽  
System Variables ◽  
The Mathematical Model ◽  
Steady State Stability

A mathematical model of a new “full-bridge Buck inverter–DC motor” system is developed and experimentally validated. First, using circuit theory and the mathematical model of a DC motor, the dynamic behavior of the system under study is deduced. Later, the steady-state, stability, controllability, and flatness properties of the deduced model are described. The flatness property, associated with the mathematical model, is then exploited so that all system variables and the input can be differentially parameterized in terms of the flat output, which is determined by the angular velocity. Then, when a desired trajectory is proposed for the flat output, the input signal is calculated offline and is introduced into the system. In consequence, the validation of the mathematical model for constant and time-varying duty cycles is possible. Such a validation of this mathematical model is tackled from two directions: (1) by circuit simulation through the SimPowerSystems toolbox of Matlab-Simulink and (2) via a prototype of the system built by using Matlab-Simulink and a DS1104 board. The good similarities between the circuit simulation and the experimental results allow satisfactorily validating the mathematical model.

Analysis of In-Plant Power Supply Load Center with Powerful Synchronous Motors and Generators of Industrial Power Station

2014 ◽  
Vol 698 ◽  
pp. 90-94
Author(s):  
Gennady Petrovich Kornilov ◽  
Timur Rifkatovich Khramshin ◽  
Ildar Ravil’evich Abdulveleev
Keyword(s):  
Power Supply ◽  
Reactive Power ◽  
Synchronous Motor ◽  
Experimental Investigations ◽  
Synchronous Motors ◽  
Computer Based ◽  
Motor Operation ◽  
Technical Solutions ◽  
Plant Power ◽  
Load Center

The research group analyzed the power supply scheme of the in-plant power supply load center and carried out experimental investigations of voltage levels and reactive power flows in this center. Start and stability of the synchronous motor operation in various operation modes and line patterns were studied using a computer-based mathematical model. Technical solutions offered in the paper will provide an opportunity to reduce the synchronous motor downtime caused by voltage reduction in the mains.

Dynamic Modeling and Simulation of Salient Pole Synchronous Motor

2013 ◽  
Vol 392 ◽  
pp. 439-445
Author(s):  
Chao Shang ◽  
Zhi Fu Jiang ◽  
Jin Ru Gong
Keyword(s):  
Mathematical Model ◽  
Modeling And Simulation ◽  
Dynamic Modeling ◽  
Computer Control ◽  
Synchronous Motor ◽  
Salient Pole ◽  
Current Voltage ◽  
Three Phase ◽  
The Relationship ◽  
Simplified Mathematical Model

Aimed at salient pole machine synchronous motor, the relationship between the current, voltage, flux and torque were analyzed quantitatively, the simplified mathematical model based on abc three-phase variables was established, and it was converted into the model under d/q coordinates which is easily for computer control, finally, it is simulated by Matlab/Simulink.

The Effect of Leakage on Railroad Brake Pipe Steady State Behavior

1988 ◽  
Vol 110 (3) ◽  
pp. 329-335 ◽  
Author(s):  
K. Abdol-Hamid ◽  
D. E. Limbert ◽  
G. A. Chapman
Keyword(s):  
Mathematical Model ◽  
Steady State ◽  
Transmission Lines ◽  
Computation Time ◽  
State Behavior ◽  
Implicit Finite Difference Scheme ◽  
Inlet Flow Rate ◽  
Model Equations ◽  
The Mathematical Model ◽  
Steady State Behavior

A mathematical model for pneumatic transmission lines containing leakage is developed. This model is used to show the effect of leakage size and distribution on the steady state behavior of the brake pipe on a train brake system. The model equations are solved using the implicit finite difference scheme without neglecting any terms. The model is presented in a nonlinear continuous network form, consisting of N sections. Each of the network sections represents one car and may contain one leakage. A computer program was developed to solve the model equations. This program is capable of simulating a train with cars of various lengths and takes a minimum amount of computation time as compared with previous methods. Through analysis and experimentation, the authors have demonstrated that pressure gradient and inlet flow rate are very sensitive to leakage locations as compared with leakage size. The results, generated by the mathematical model, are compared with the experimental data of two different brake pipe set-ups having different dimensions.

scholarly journals Mass transfer during electrodeposition of metals at a periodically changing rate

1999 ◽  
Vol 64 (5-6) ◽  
pp. 317-340 ◽  
Author(s):  
Miodrag Maksimovic ◽  
Konstantin Popov
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Steady State ◽  
Layer 4 ◽  
Millisecond Range ◽  
The Mathematical Model ◽  
Pulsating Current ◽  
Pulsating Overpotential ◽  
Changing Rate ◽  
Electrodeposition Of Metals

1. Introduction 2. Mass transfer in the steady state periodic condition 2.1. Reversing current 2.2. Pulsating current 2.3. Alternating current superimposed on direct current 3. The influence of the charge and discharge of the electrical double layer 4. The validity of the mathematical model 4.1. Reversing current in the millisecond range 4.2. Reversing current in the second range 4.3. Pulsating current 4.4. Pulsating overpotential 5. Conclusion

scholarly journals Mathematical model of a steam turbine condenser

2021 ◽  
Vol 80 (2) ◽  
pp. 41-46
Author(s):  
N. G. Borissova ◽  
◽  
M. D. Shavdinova ◽  
Keyword(s):  
Mathematical Model ◽  
Vapor Pressure ◽  
Steam Turbine ◽  
Flow Rate ◽  
Cooling Water ◽  
Calculation Methods ◽  
Turbine Condenser ◽  
Passport Data ◽  
Steam Turbine Condenser ◽  
The Mathematical Model

The paper analyses the existing calculation methods for steam turbine condenser. The refined methods for calculating the condenser have also been considered. The dependency of the vapor pressure in the condenser on the temperature of the cooling water and the steam flow rate into the condenser have been considered. It can be seen from the obtained dependencies that the calculation of the condenser according to the ARTI and HEI (USA) methods coincides with the passport data. It is recommended to use the ARTI and HEI (USA) techniques for equipment diagnostics, and to use the KTP and USTU-UPI techniques when studying ways to increase the efficiency of the condenser. The mathematical model of the KG2-6200 condenser has been tested at the Almaty СHPP-2.

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