Optimizing allocation of supplementary excitation controller based on multiple power systems

Based on singular value decomposition (SVD) theory, an effective method is proposed in order to find optimum allocation of supplementary excitation controller by using transfer function matrix. Since both QR decomposition of system state matrix and the calculation of residues on transfer function are not needed, this method can reduce the computational burden. With the solution to the largest singular value and singular vector of system transfer function matrix, the method can identify each generator's contribution to oscillation modes, and then find the optimum allocation of supplementary excitation controller. Finally, case studies were conducted on two multi-machine power systems to identify the smallest number of units impacting each oscillation mode, and the optimum allocations of supplementary damping controllers were obtained. Simulation results verify the effectiveness of the proposed method.