Stable reduced model of a single machine infinite bus power system with power system stabilizer

Dynamic stability analysis of a large interconnected power system is extremely time consuming and laborious and may even exceed the storage capacity of modern fast computers because of the high order of the system matrix. The complexity often makes it difficult to obtain a good understanding of the behavior of a system. The proper/efficient analysis of high order systems is very tedious and costly i.e. high order systems poses great challenge to system analyst & control engineers. If a low order linear model is derived for a high order system then the preliminary design and optimization is achieved with very much ease. Hence, methods have been developed here to obtain simplified models of the systems by using different reduction techniques. In this paper an analysis is presented by use of four different Model Order Reduction Methods viz Routh Approximation Method, Routh Stability Method, Differentiation Method and Stability Equation Method in Time & Frequency Domain. The results are quite encouraging and showing the preservation of stability and other characteristic parameters of a single machine infinite bus system (SMIB) with power system stabilizer, whose 2^nd & 3^rd order reduced model are obtained.