A comparative study for the performance operation of electric machine based on conventional and D-Q theories (original) (raw)

D-Q Mathematical Modelling and Simulation of Three-Phase Induction Motor for Electrical Fault Analysis

IARJSET, 2020

Building a machine that emulates the electrical fault can be expensive and implies high risk of damage. Different types of fault cannot be created in the same machine. This paper presents a mathematical model and dynamic simulation of 3-Φ squirrel cage induction motor to study the performance of the AC machine. The equations will be derived and developed that will represent the 3-Φ Induction motor. Those equations can be used to study the fault analysis of the winding as well as their performance. Mathematical equations are developed in arbitrary reference frame and simulation is done under no load condition to obtain the results. As, Direct Quadrate (d-q) model is superior to abc reference in terms of complexity and computational time, for modelling the drive system, d-q transformation method is used. Then the simulation of the system will be done and analysis of dynamic behaviour of the motor will be studied. Then the torque and speed will be calculated. The study of the transient and steady state analysis of an induction motor model will be performed through the simulation.

induction motor modelling

Widely used in many industrial applications, the induction motors represent the starting point when an electrical drive system has to be designed. In modern control theory, the induction motor is described by different mathematical models, according to the employed control method. In the symmetrical three-phase version or in the unsymmetrical two-phase version, this electrical motor type can be associated with vector control strategy. Through this control method, the induction motor operation can be analysed in a similar way to a DC motor. The goal of this research is to summarize the existing models and to develop new models, in order to obtain a unified approach on modelling of the induction machines for vector control purposes. Starting from vector control principles, the work suggests the d-q axes unified approach for all types of the induction motors. However, the space vector analysis is presented as a strong tool in modelling of the symmetrical induction machines. When an electrical motor is viewed as a mathematical system, with inputs and outputs, it can be analysed and described in multiple ways, considering different reference frames and state-space variables. All the mathematical possible models are illustrated in this report. The suggestions for what model is suitable for what application, are defined as well. As the practical implementation of the vector control strategies require digital signal processors (DSP), from the continuos time domain models are derived the discrete time domain models. The discrete models permit the implementation of the mathematical model of the induction motors, in order to obtain high efficiency sensorless drives. The stability of these various models is analysed.

DQ Modeling and Dynamic Characteristics of a Three-Phase Induction Machine

AC motors as a drive have become more popular over its DC motors counterpart (For example Ward Leonard System) in the variable speed drives applications. The latter uses three electrical rotating machines and very costly to maintain despite the low efficiency offered by them. The former offers superior dynamic performance. In this paper, the theory of reference frames is used to examine the dynamic performance of the induction machine. The reference frame considered is synchronously rotating DQ-reference frame. This is because this reference frame transforms the AC signals to the equivalent DC signals. The dynamic model provides detailed expressions for the study of transient and steady state behaviors of the machine. 4 th Order Runge-Kutta (ode45) was used to solve the differential equations using MATLAB. Results shows that MATLAB a reliable and sophisticated tool to study the transient and steady state response of the machine.

"Sharpening Skills..... Serving Nation" Methodology to Estimate The D-Q Axis Model Parameter For Three Phase Induction Motor Using MATLAB

2015

— This paper addresses a d-q model of three phase induction motor. It is the objective of this paper to derive and explain induction motor model in relatively simple terms by using the concept of d-q variables. This method reduces the three-phase system to a two-phase system. Using MATLAB programming we have modeled three-phase induction motor and obtained its direct and quadrature axis parameters. The basic purpose of using d-q model approach is to control the motor parameters independently i.e. torque of induction motor. Index Terms — d-axis, d-q transformation. induction motor, q-axis.

Modeling Methods of Three Phase Induction Motor

Ijca Proceedings on National Conference on Innovative Paradigms in Engineering Technology 2013, 2013

This paper presents the qd and voltage-behind reactance model of three phase induction motor. The accurate behavioral modeling of induction motor helps in designing controller for the machine and is also useful in detection of faults in machines. The rotor subsystem is expressed in qd coordinates and the stator subsystem is expressed in abc phase coordinates. Computer studies of an induction motor for Voltage-behindreactance model demonstrate the improvement in computational efficiency as compared with the qd or PD model. In this paper Voltage-behind-reactance model is developed in stationary reference frame using MATLAB-SIMULINK platform. Index terms Coupled-circuit(CC) model, qd model, voltage-behindreactance (VBR) model ,phase-domain model, induction machine, dynamic simulation. NOMENCLATURE ,, as bs cs v v v-Input voltage for phase a, b, c respectively in Volts.

Three-axis dynamic modeling of induction motor

This paper presents a new modeling and simulation method for the three phase asynchronous motor. This model called three-axis dynamic model of induction motor. The dynamic model is examined by Matlab/Simulink as a rated power of 55 kW asynchronous motor. New three-axis dynamic model is compared with conventional d and q-axis dynamic model. Comparative results are shown as the functions of stator and rotor current, angular speed, and torque of the three phase induction motor. The new model is shown as better results than the d-q model.

Dynamic d-q Model of Induction Motor Using Simulink

This paper describes a dynamic d-q model of a three phase induction motor in state space form and its computer simulation in MATLAB/SIMULINK. The details on the construction of sub models for the induction motor are given and their implementation in SIMULINK delineated. The required equations are stated at the beginning and then a d-q model of induction motor is developed. This plan could be led to other engineering systems.

Modelling of an Induction Motor

Induction Motor, Tesla, 2020

The report documents the modelling of a symmetrical, 4-pole, 1.5kW, 1725rpm motor with rated current at 6.1A and 230 line voltage. A dynamic transient analysis is conducted in this investigation by developing the machine equations such that a steady space model is formulated for a computer simulation The results of the model is compared to the steady state analysis model. The report concludes that the synchronous reference frame is the prime option to select for the control of an induction motor.

Numerical and Analytical Model of Induction Motor for Computer Aided Design

2017

Paper presents analytical and numerical model of three-phase asynchronous squirrel cage motor suitable for fast computation of motor steady state and transient performance characteristics at various operating modes: no-load, rated load and locked rotor. From the motor analytical model, numerical model for computing transient characteristics and magnetic flux density in motor cross-section is deduced. Accuracy of the analytical model is verified by experiment. Influence of various design parameters on motor torque is studied. Derived computer models allow fast changes in motor design and development of various motor variants with improved performance characteristics.

From the ideal to the real induction machine: Modelling approach and experimental validation

Journal of Magnetism and Magnetic Materials, 2008

The aim of this paper is to discuss the ability of a numerical code in reproducing a real machine behavior, with particular reference to the cage currents of a four-poles 50 Hz induction motor. The used 2D Finite Element method (FEM) is based on voltage driven field formulation, handling the nonlinearity by the fixed point technique and the rotor movement by the sliding mesh approach. The numerical outcomes are validated by experiments performed on a dedicated laboratory setup, able to provide the instantaneous cage currents. Then, a spectral algorithm has been applied to the experimental and computed variables and the results have been interpreted in terms of magneto-motive forces. This approach allows us to determine possible machine eccentricities or other asymmetries not introduced in the simulations. Discussing the computed and measured spectra and excluding in the last ones the lines corresponding to non-idealities, an evaluation on how the modelling approach reproduces accurately the real machine is possible. The validated model will be able to reproduce the machine behavior of usual induction machines whose rotor currents are not measurable. r