Multi-Machine Power System Simulation via Differential Transformation

In this paper, the differential transformation (DT) is applied to the dynamic analysis of multi-machine systems, whose solution is numerically obtained by solving a set of differential-algebraic equations that represent the power system dynamics. This method is an algorithm to calculate the Taylor coefficients in a fast and efficient way, making the Taylor method competitive against traditional numerical integration methods such as the modified Euler (ME) method and trapezoidal rule (TR). Thus, the DT's rules for solving differential-algebraic equations of large multi-machine power systems are applied. To exhibit the DT's performance, the power system toolbox (PST) is adopted and compared against other integration methods for multi-machine power system simulation. Finally, time-domain simulations on the WECC and Mexican systems are performed by means of DT and compared with ME and TR methods to demonstrate the effectiveness of the proposal, showcasing that our proposal improves up to 12 times the traditional methods.