Reduction of Interconnected Hybrid Power System Using Direct Truncation and Routh Array Method

Model order reduction (MOR) is a computational and mathematical technique to simplify complex dynamic systems while preserving essential characteristics. This technique is used in circuit simulation, structural mechanics, and control systems engineering. The main advantages of MOR techniques are to analyze and simulate complex systems with essential accuracy, faster design iterations, improved system behavior, and reduced computational costs. In this paper, model order reduction of interconnected hybrid power systems is achieved by mixed method approaches of Routh-array and direct-truncation.The simplified technique of proposed work is very new and useful for model order reduction of power system. Routh-array method is used for order reduction of denominator polynomial and direct-truncation method is approached for order reduction of numerator polynomial. To define the mixed method approaches on proposed work, the thirteen-order transfer function of original inter-connected hybrid power system is reduced to sixth, fifth, fourth, third, and second order respectively. Different outputs like step response, impulse response, Bode response, and Nyquist response are also plotted for the proposed work. The main advantage of the mixed method approach is that it always gives a simplified and stable reduced lower-order system while securing essential characteristics. The final output of this proposed work is very effective and accurate.