Application of optimal Hankel-norm approximation to power system model reduction

In this paper we develop an algorithm for model reduction using Optimal Hankel-norm approximation. This method of approximation preserves the input output behaviour of the system. This method also gives an error bound in the sense of Hankel norm for the reduced models of different orders. Also for a given tolerable error in reduction, the method ascertains the order of the reduced model based on the error. These features make this model reduction very versatile and superior over many existing methods of model reduction in the frequency domain. The algorithm is tested on a ninth order Power system and the frequency responses obtained are presented.