A Value Set Approach for Stability Region Determination for Time Delayed Power Systems with Multiple Uncertain Parameters

This paper develops a stability region computation method for time delayed power systems based on the value set method. It is designed to accommodate systems with multiple uncertain parameters and time delays. This method serves to analyze the small signal stability margin of power systems and offer guidance for system parameter design. Different from many previous works, this method achieves relatively high efficiency without any conservativeness. First, it processes polynomials with exponentials through polynomial transformations. Second, by continuously subdividing and discriminating the uncertain space, the parameter stability region of the system is obtained. Finally, the effectiveness and accuracy of the proposed method are validated through simulation examples in MATLAB/Simulink.