Periodic steady state solution in the time domain of distribution systems containing DVRs through convergence to the limit cycle

This contribution details a state space model for a Custom Power component, the Dynamic Voltage Restorer (DVR), for steady state analysis. An efficient time domain methodology is applied which allows a swift computation in the time domain of the periodic steady state solution for the DVR and the entire distribution network by extrapolating the solution to the limit cycle and thus to the steady state. This is achieved with the application of a Newton technique based on a Numerical differentiation (ND) procedure. Comparisons are shown in terms of computer efficiency against the conventional Brute Force (BF) solution obtained using the Fourth Order Runge-Kutta numerical integration method.