Abstract

Multi-train modeling and simulation plays a vital role in railway electrification during operation and planning phase. Study of peak power demand and energy consumed by each traction substation needs to be determined to verify that electrical energy flowing in its railway power feeding system is appropriate or not. Gauss–Seidel, conventional Newton–Raphson, and current injection methods are well-known and widely accepted as a tool for electrical power network solver in DC railway power supply study. In this paper, a simplified Newton–Raphson method has been proposed. The proposed method employs a set of current-balance equations at each electrical node instead of the conventional power-balance equation used in the conventional Newton–Raphson method. This concept can remarkably reduce execution time and computing complexity for multi-train simulation. To evaluate its use, Sukhumvit line of Bangkok transit system (BTS) of Thailand with 21.6-km line length and 22 passenger stopping stations is set as a test system. The multi-train simulation integrated with the proposed power network solver is developed to simulate 1-h operation service of selected 5-min headway. From the obtained results, the proposed method is more efficient with approximately 18 % faster than the conventional Newton–Raphson method and just over 6 % faster than the current injection method.

Highlights

  • In the recent decades, demand growth in public transport systems has increased rapidly

  • With 1 9 10-4 p.u. applied to the relative termination criterion, their power flow solutions are compared. It reveals that the results obtained by the four power flow methods are exactly the same, but the total number of iterations required and execution times are different depending on their individual performances

  • The current-vector iterative method (CIM) has the linear convergence, its execution time is faster than the Conventional Newton-Raphson method (CNR) of the quadratic convergence

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Summary

Introduction

Demand growth in public transport systems has increased rapidly. The third rail conductor in DC power feeding systems is typically used for urban metros with the standard DC supply voltage of 750 V. Multi-train system simulation [4,5,6,7] integrated with a power network solver is a potential tool to exhibit power supply performances. In DC railway power systems, these two methods have been commonly employed in case of non-linear traction power load. The well-known Newton–Raphson power flow method has been revised and simplified.

Train movement and performance calculation
Rolling resistance
Aerodynamic drag resistance
Gradient force
DC railway power supply system
Gauss–Seidel DC railway power flow solution
Conventional Newton–Raphson DC railway power flow solution
Current injection method for DC railway power flow solution
Multi-train system simulation
Test system
Simulation results
Findings
Discussion
Conclusion
Full Text
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