Computing a Nodal Power Exchange Matrix based on a Nodal Reactance Matrix

Abstract This paper provides a method to calculate a full specification of nodal active power exchanges in an electrical network based on the reactance between these nodes. The objective of this method is that the exchange is approximately inversely proportional with the reactance. The nodal power exchanges are further intended to be used in the Full Line Decomposition (FLD) methodology that determines the physical causes of the power flows in a transmission grid. The method presented in this paper is an alternative to the current method applied for nodal power exchanges within FLD. The method has been tested for various network models and it has been verified that the method is fast and gives consistent results. The authors believe that the FLD method, together with the presented power exchange matrix is both an intuitive and fair method of assigning the responsible generators and loads, and therewith the responsible bidding zones to the power flow over an (overloaded) network element.