Abstract. The present document is a research report on the study of responsibilities assignment in power quality, theme proposed to be carried out as thesis for the degree of Doctor of Philosophy in Electrical Engineering at the National University of Colombia - Bogota, the doctoral studies have been advised by the Professor Horacio Torres-Sanchez, who works at the National University of Colombia. A doctoral research project was proposed to guide the development of the doctorate. Besides a justification and a theoretical background about the analysis of responsibilities in power quality, the following preliminary objectives were proposed: _ To develop a methodology aimed to establish the responsibilities of different agents involved in a distribution network regarding power quality disturbances. _ Reviewing and studying of analysis tools useful to determine responsibilities of agents connected to a distribution system. Frequency domain, time domain and non-sinusoidal conditions aimed power theories are some of the analytic tools to be considered. _ Study, review and application of deterministic and random modeling and simulation techniques, in order to represent electric systems and power quality disturbances. Deterministic tools have been widely studied and additional efforts will be required just for specific cases. Random tools require the study of random variables, stochastic processes and Monte Carlo simulation techniques. _ Application of the methodology to real cases. This document reports the doctoral research, which was carried out in the National University of Colombia and the Ruhr University of Bochum - Germany. Along this document the main results achieved in the doctoral studies will be listed as well as the accomplishments of the preliminary proposed objectives. In order to introduce the reader to the theme investigated along the doctoral studies, a presentation of the Analysis of responsibilities is made in Chapter 1. In this chapter the conceptual realization of the analysis of responsibilities is described, such realization has been called the Responsibilities Assignment Problem RAP, once it is presented in terms of a problem to be solved, some details are necessary to orientate the finding of a suitable solution. The mentioned problem leads to new matters of discussion like: _ How should the responsibilities be assessed? _ How ought to be assigned the responsibilities? _ For the currently available methods to assess and assign responsibilities, in what manner must be carried out an evaluation to determine their usefulness and suitability? The precedent issues require a direction to facilitate and orientate the evaluation of the reviewed methods and to develop new ones, experimental cases and reference conditions will be proposed as basement for this purpose. Power Quality disturbances can be understood as any deviation from the conditions a customer or a utility needs to satisfy determined energy necessities, such disturbances have been listed and analyzed in technical standards.…