DERIVATION OF A MATHEMATICAL MODEL OF THE DC HEAVY RAILWAY SYSTEM USING THE DQ METHOD
DOI:
https://doi.org/10.55766/sujst10877Keywords:
DC heavy railway system, DQ method, Mathematical model derivation, Time-invariant modelAbstract
The electric railway system is an efficient mode of transportation capable of carrying a large number of passengers per trip, thereby reducing travel time and operational costs. As a result, its use has been increasing, following the technological advances. To accurately analyze the behavior of this system, an accurate mathematical model is required. Herein, the DQ method is employed to obtain a time-invariant model via the transformation of time-varying AC signals into DC quantities within a synchronous rotating reference frame. The derived model can be applied to various railway system development applications, including stability analysis, instability mitigation, and the study of dynamic behavior. To verify the accuracy of the proposed model, simulation is employed to validate its dynamic responses by comparing them with those obtained from the SimPowerSystem block set in MATLAB. The results confirmed that the derived mathematical model can accurately capture both the transient and steady-state responses. Furthermore, compared to the exact topological model implemented in MATLAB, the proposed model significantly reduces the computational time by 97%.
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