Sort:
Issue
Design of an experimental simulation platform for load flow calculation in flexible traction power supply systems for urban rail transit
Experimental Technology and Management 2025, 42(12): 155-166
Published: 20 December 2025
Abstract PDF (1.2 MB) Collect
Downloads:6
[Objective]

With the widespread adoption of bidirectional converters, modern metro traction power supply systems (TPSS) are becoming increasingly flexible and controllable. Rapid advancements in rail transit technologies demand interdisciplinary talents beyond traditional single-discipline electrical engineering expertise to address the complexities of these systems. Conventional teaching methods, often limited by disciplinary silos and inadequate hands-on experimentation, fall short in fostering students’ practical engineering cognition. In response to these structural limitations, this study develops an experimental simulation platform for load flow calculations in flexible TPSS.

[Methods]

Conventional iterative load flow calculation methods, such as the Newton–Raphson approach, suffer from the convergence and initialization limitations when applied to flexible TPSS. Accordingly, the holomorphic embedding load-flow method (HELM) is adopted as a noniterative deterministic algorithm for solving nonlinear load flow equations. HELM offers excellent global convergence, independence from initial value guesses, and elimination of Jacobian matrix computations, making it particularly suitable for this application. First, an equivalent mathematical model of the flexible TPSS is constructed. Based on this model, a unified load flow framework is established using the principles of holomorphic function embedding, encompassing AC and DC systems as well as bidirectional converters. Second, recursive relationships are derived between coefficients in the low- and high-order power series expansions of the holomorphic functions, enabling analytical solutions to the load flow model. Furthermore, to minimize complex matrix operations and enhance computational efficiency, the Padé approximation technique based on Bauer’s Eta algorithm is adopted to obtain analytical solutions for the target voltage functions.

[Results]

Experimental results yield the following insights: 1) A timed simulation model of a three-station, two-train system validates the accuracy and feasibility of the proposed platform for load flow calculations in TPSS. 2) Under a power control strategy incorporating bidirectional converters, the system effectively mitigates excessive traction power demands, maintaining substation power within the safe operating limits and markedly enhancing overall system stability. 3) Implementing droop control enables automatic power sharing among converters; a larger droop coefficient improves load distribution balance but amplifies voltage fluctuations. Therefore, careful selection of the droop coefficient is essential to achieve an optimal trade-off between power sharing and voltage stability.

[Conclusions]

This study designs an experimental simulation platform for load flow calculations in flexible TPSS for urban rail transit. The platform assists students in conducting analysis and learning activities related to these systems, including system modeling, HELM application, and tuning of bidirectional converter control strategies. It enhances students’ comprehension of flexible TPSS, bridges theoretical knowledge with engineering practice, and lays a strong foundation for training high-level professionals needed for the development of intelligent, low-carbon urban rail transit TPSS.

Open Access Regular Paper Issue
PMU-based Linear Power Flow Calculation Method with Minimizing Probability Errors
CSEE Journal of Power and Energy Systems 2026, 12(4): 1914-1925
Published: 21 February 2025
Abstract PDF (1.5 MB) Collect
Downloads:0

With large-scale access to renewable energy, long-distance transmission via hybrid AC-DC networks and frequent load fluctuations, measurement-based online power flow calculation needs to be adapted to the volatility and randomness of modern power systems, and high accuracy and real-time performance are required for online power flow. However, the traditional power flow method suffers from lengthy computation, convergence difficulty and inaccuracy caused by RTU asynchronous errors. Therefore, a PMU-based online accurate linear power flow method that minimizes the probability of errors in power flow is proposed to improve accuracy and real-time performance. This power flow method no longer bounds PQ, PV or Vθ buses, and establishes a linear relationship between the voltage and current measurements. To address the problems of complicated PMU measurement errors and the high proportion of low-quality data, a 0–1 integer programming model is established to select a set of linear measurement equations for minimizing probability errors, and a complete method of PMU-based linear power flow calculation is proposed. Finally, the efficacy of the proposed linear power flow calculation method is verified on an IEEE 39 bus system and a large-scale power grid in China.

Open Access Regular Paper Issue
Convolution Neural Network-based Load Model Parameter Selection Considering Short-term Voltage Stability
CSEE Journal of Power and Energy Systems 2024, 10(3): 1064-1074
Published: 05 September 2022
Abstract PDF (2.1 MB) Collect
Downloads:45

The recently proposed ambient signal-based load modeling approach offers an important and effective idea to study the time-varying and distributed characteristics of power loads. Meanwhile, it also brings new problems. Since the load model parameters of power loads can be obtained in real-time for each load bus, the numerous identified parameters make parameter application difficult. In order to obtain the parameters suitable for off-line applications, load model parameter selection (LMPS) is first introduced in this paper. Meanwhile, the convolution neural network (CNN) is adopted to achieve the selection purpose from the perspective of short-term voltage stability. To begin with, the field phasor measurement unit (PMU) data from China Southern Power Grid are obtained for load model parameter identification, and the identification results of different substations during different times indicate the necessity of LMPS. Meanwhile, the simulation case of Guangdong Power Grid shows the process of LMPS, and the results from the CNN-based LMPS confirm its effectiveness.

Open Access Regular Paper Issue
Identifiability Analysis of Load Model Parameters by Estimating Confidential Intervals
CSEE Journal of Power and Energy Systems 2023, 9(5): 1666-1675
Published: 06 October 2020
Abstract PDF (2.7 MB) Collect
Downloads:83

The identification of load model parameters from practical measurement data has become an essential method to build load models for power system simulation, analysis and control. In practical situations, the accuracy of the load model parameters identification results is impacted by data quality and measurement accuracy, which leads to the problem of identifiability. In this paper, an identifiability analysis methodology of load model parameters, by estimating the confidential intervals (CIs) of the parameters, is proposed. The load model structure and the combined optimization and regression method to identify the parameters are first introduced. Then, the definition and analysis method of identifiability are discussed. The CIs of the parameters are estimated through the profile likelihood method, based on which a practical identifiability index (PⅡ) is defined to quantitatively evaluate identifiability. Finally, the effectiveness of the proposed analysis approach is validated by the case study results in a practical provincial power grid. The results show that the impact of various disturbance magnitudes, measurement errors and data length can all be reflected by the proposed PⅡ. Furthermore, the proposed PⅡ can provide guidance in data length selection in practical load model identification situations.

Total 4