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This paper introduces the Responsibilities Assignment Problem (RA P) and discusses existing methodologies by theory and examples. The RA P can be understood as the evaluation and determination of the power quality disturbances and of the power quality conditions detriment concerning source and amount. Selected details of this problem are presented in this paper, in order to provide a conceptual background to understand the problem itself and to interprete the characteristics of the currently available assessment methodologies. The existing methodologies are summarized, their principles, characteristics, and application are illustrated by means of an example. From the application results, a comparison of the mentioned methodologies is shown to point out advantages and differences. In the framework of the conference this paper could start and support a discussion about the assigment of responsibilities related to power quality disturbances propagation and improvements of the existing methodologies.

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The determination of power quality disturbances has been studied in the last twenty years from different perspectives. Current decomposition provides a suitable approach to determine how disturbances propagate among circuits. The application of Fryze-Buchholz-Depenbrock -FBD power theory revealed useful results, such application has been called Method of Disturbances Interaction. In this paper a statistical analysis of the indices is presented, showing that indices' statistical behavior provides additional information on the propagation and origin of disturbances. The Method and the statistical analysis is illustrated in a practical application, a discussion and conclusions are listed as well.

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