Application of the current decomposition of the Conservative Power Theory in Distributed Energy Resources

The Conservative Power Theory (CPT) is a time-domain theory applicable to any periodic signal, single- or poli-phase system with or without neutral conductor. The principle operation is the orthogonal decomposition of electrical variables, resulting electrical quantities with physical meaning. An important feature of the CPT is the current decomposition. It consists of decomposing any current into five parts. These parts are named as active current, reactive current, scattered active current, scattered reactive current and generated current. This paper presents the application of the current decomposition of the CPT in Distributed Energy Resources (DERs). Initially, clear understanding of how the current decomposition of the CPT is defined and how it is applicable are presented. Further, parts of a nonlinear load current are used as references for two DERs connected at the same Point of Common Coupling (PCC), resulting in a load current sharing. As result, a Supervisory Controller (SC) can increase its options regarding energy management in smart-grids. A case study is conducted in order to show the efficacy of application using current decomposition.