Abstract
A substantial amount of power system load is made of large number of three phase induction machine. The transient phenomena of these machines play an important role in the behavior of the overall system. Thus, modeling of induction machine is an integral part of some power system transient studies. The analysis takes a detailed form only when its modeling becomes perfect to a greater accuracy. When the stator eddy current path is taken into account, the uniform air-gap theory in phase model analysis becomes inefficient to take care of the transients. This drawback necessitates the introduction of analysis of the machine in d-q axis frame. A widely accepted induction machine model for stability studies is the fifth-order model which considers the electrical transients in both rotor and stator windings and the mechanical transients. In practice, some flux-transient can be ignored due to the quasi-stationary nature of the variables concerned. This philosophy leads to the formation of reduced order model. Model Order Reduction (MOR) encompasses a set of techniques whose goal is to generate reduced order models with lower complexity while ensuring that the I/O response and other characteristics of the original model (such as passivity) are maintained. This paper takes the above matter as a main point of research. The authors use the philosophy of the speed-build up of induction machine to find the speed versus time profile for various load conditions and supply voltage disturbances using numerical methods due to Runge- Kutta, Trapezoidal and Euler's in Matlab platform. The established fact of lesser computation time in reduced order model has been verified and improvement in accuracy is observed.
Highlights
The mathematical description of many physical systems when obtained using theoretical considerations often results in large-order models
The computational time obtained for full order model and reduced order model using three numerical methods are compared in table II
The reduced order model of single cage induction machine was validated by digital simulation and compared with the response of full order model using three numerical methods such as Runge-Kutta method, Trapezoidal method and Euler's method
Summary
The mathematical description of many physical systems when obtained using theoretical considerations often results in large-order models. A large number of methods are available in the literature for order reduction of linear continues systems in time domain as well as in frequency domain [1-7]. This work investigates the different aspects of reduced order modeling of the three-phase induction motor as a power system component. Especially in the transient stability studies, it is desirable to represent induction motor loads with a reduced-order model in order to decrease computational efforts and time. The order reduction is achieved by setting the derivative of stator flux linkage to zero in the stator differential equation in which all equations are referred to the synchronously revolving reference frame This method of reducing the order of the induction machine is designated as the theory of neglecting stator flux transients
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