A mathematical model for a stability-enhanced DC distribution system for power system integration of plug-in electric vehicles

This paper proposes a mathematical model for a stability-enhanced dc distribution system, for charging plug-in electric vehicles. The stability of the dc distribution system is enhanced through a nonlinear control strategy exercised locally by each battery charger. The proposed model is of the matrix form and can be used for small-signal analysis of a dc distribution system that hosts an arbitrarily large number of battery chargers. The paper also presents a set of computationally efficient equations for calculating system eigenvalues. The accuracy of the proposed model is demonstrated through simulations conducted in PSCAD/EMTDC and MATLAB software environments.