Abstract
This paper presents the mathematical model of DCMGs with PV arrays for traction substation in heavy rail systems. The considered power system consists of many power converters in which the dynamic model is time-varying due to the switching actions inside the power converters. The time-varying model is not useable for the system analysis and design. Hence, this paper describes the way how to derive the time-invariant model using the combination between DQ and GSSA methods. The simulation results using the SimPowerSystem® block set on MATLAB are used to validate the proposed model. The results show that the proposed model can provide the accurate transient and steady-state responses. Moreover, simulations using the proposed model can reduce the simulation time by 72% in comparison with the exact topological model of MATLAB. The resulting averaged models are also very useful for studies of dynamic behavior of complex power systems
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