Unified computational tool for transient and long-term stability studies

Here, the authors intend to apply a numerical method of integration with changing steps into dynamic simulations of power systems. The focus is on the transient and long-term periods represented by the set of algebraic-differential equations into the numerical algorithm predictor-corrector. The developed algorithm is based on the proposal of implicit integration step and it makes use of the Newton-Raphson method with the integration step obtained iteratively through the process. As the step size is important for the transient and long-term simulations, the authors propose to identify successive increases of integration steps and trigger the quasi-dynamic process, where the equations are purely algebraic. Therefore to control the step size and modify the techniques of simulation during the process has increased the speed of the simulation process with lower computational costs and more accuracy.