DECOMPOSITION AND LINEARIZATION OF ASYNCHRONOUS MOTOR MATHEMATICAL MODELS IN RELATIVE UNITS
Journal Title: Електромеханічні і енергозберігаючі системи - Year 2017, Vol 2, Issue 38
Abstract
Purpose. To obtain the mathematical expressions for the coefficients of linearized asynchronous motor equations in relative units, which allow making correct compensation of the separate components of the control object dynamic properties by means of inverse dynamic models. Methodology. The proposed mathematical transformations and numerical calculations are performed using mathematical models of an asynchronous motor in two-phase orthogonal coordinate systems oriented along the vectors of the rotor-stator flux linkage. To enable the synthesis of control systems, which are built on the principles of solving inverse dynamics problems, a system of relative units with equal mutual inductances between stator and rotor windings, as well as between the phase windings of the rotor is used. Results. The asynchronous motor is conditionally divided into two control objects: for the reactive power loop and the active power loop. The determination of control objects models was carried out by using the decomposition and linearization methods of differential equations systems. The obtained coefficients of the linearized equations for asynchronous motor in relative units allow correctly compensating the dynamic properties of separate constituents for control objects of automated electromechanical system by means of inverse dynamic models. Originality. The given differential equations and structural block-diagram of the asynchronous motor in two-phase orthogonal coordinate systems oriented by flux linkage vectors provide an exhaustive mathematical description necessary for the implementation of the synthesis of automated electromechanical systems based on a discrete time equalizer. Practical value. Expressions for the coefficients of the asynchronous motor equations in relative units, obtained as a result of the transformations performed and entered into a generalization table, allow us to calculate the parameters of the structural block-diagram and mathematical models for a wide range of industrial asynchronous motors.
Authors and Affiliations
Oleksii Sheremet
Keywords
Related Articles
- EP ID EP660451
- DOI -
- Views 118
- Downloads 0
VIRTUALIZATION AND WINDOWS SERVER 2012
Purpose. Comparison solutions for creating virtual machines aimed to run operating system Windows Server 2012 R2, their main features and performance. Methodology. We have applied experiments comparing several most popul...
ANALYTICAL CALCULATION AND OPTIMIZATION OF THE BASIC ELECTRMAG-NETIC LOSSES OF THE ENERGY OF THE FREQUENCY-CONTROLLED PERMANENT MAGNET SYNCHRONOUS MACHINE IN START-BRAKING REGIMES
Purpose. The article is devoted to the analytical calculation of the frequency-controlled permanent magnet syn-chronous machine for various types of control during the start-braking regimes of the main electromagnetic e...
DETERMINATION OF STATOR RESISTANCE OF INDUCTION MOTORS ON STARTING CHARACTERISTICS
Purpose. Determination of a torque of the asynchronous engine is important for increase in indices of use of the electric power. This task can be solved on condition of reliable identification of value of the active resi...
ENERGY-SAVING MANAGEMENT IN START-BRAKING REGIMES BY FREQUENCY-ADJUSTABLE ASYNCHRONOUS MOTOR LOADED BY CENTRIFUGAL PUMP
Purpose. Research and development of energy-saving control of a frequency-adjustable asynchronous engine, loaded with a centrifugal pump, which minimizes the main electromagnetic losses of engine energy in the start-brak...
MEASURING INDICATORS OF ENERGY PROCESSES IN THE ASYNCHRONOUS GENERATOR ON THE BASIS OF THE VIRTUAL MODEL IN THE LABVIEW SOFTWARE
Purpose. To investigate the process of power generation in the autonomous sources of energy based on an asynchronous generator with capacitive excitation and creating easy to use and clearly virtual device performance po...