An acceleration procedure to the periodic steady-state based on the Poincare map and a Newton method is applied in this paper to compute periodic solutions of custom power parks. This method serves as a tool to assist in quickly locating periodic solutions in order to carry out efficient harmonic analyses at the distribution level. The time domain model of the custom power park comprises a dynamic voltage restorer (DVR), a static synchronous compensator (STATCOM), a static transfer switch and a distributed generator. Whilst a STATCOM maintains constant the bus voltage and the DC-link capacitor voltage, a DVR feeds critical loads with distortion-free voltages. The distributed generator relies on a fuel cell and a two stage power electronic interface. Fuel cells are faster and less polluting than internal combustion engines, providing a reliable backup power during a total feeder loss scenario. Furthermore, the effect of the transformer nonlinear characteristic, which may cause inrush currents and Orolonged transients during energization or feeder switching, is taken into account. Results show that the execution time demanded by a brute force approach to compute the periodic steady-state of the custom power park can be dramatically reduced with the application of the time domain acceleration procedure. Important speedup gains up to 372 are obtained with the Poincare acceleration. (C) 2013 Elsevier B.V. All rights reserved.