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Stability Analysis and Control of DC Distribution System with Electric Vehicles

Zhijie Zheng1, Song Zhang1, Xiaolei Zhang2, Bo Yang1, Fang Yan3, Xiaoning Ge3,*

1 State Grid Shandong Electric Power Company Economic and Technological Research Institute, Jinan, China
2 State Grid Shandong Electric Power Company Limited, Jinan, China
3 State Nuclear Electric Power Planning Design & Research Institute Company Limited, Beijing, China

* Corresponding Author: Xiaoning Ge. Email:

Energy Engineering 2023, 120(3), 633-647.


The DC distribution network system equipped with a large number of power electronic equipment exhibits weak damping characteristics and is prone to low-frequency and high-frequency unstable oscillations. The current interpretation of the oscillation mechanism has not been unified. Firstly, this paper established the complete state-space model of the distribution system consisting of a large number of electric vehicles, characteristic equation of the distribution network system is derived by establishing a state-space model, and simplified reduced-order equations describing the low-frequency oscillation and the high-frequency oscillation are obtained. Secondly, based on eigenvalue analysis, the oscillation modes and the influence of the key system parameters on the oscillation mode are studied. Besides, impacts of key factors, such as distribution network connection topology and number of dynamic loads, have been discussed to suppress oscillatory instability caused by inappropriate design or dynamic interactions. Finally, using the DC distribution example system, through model calculation and time-domain simulation analysis, the correctness of the aforementioned analysis is verified.


Cite This Article

Zheng, Z., Zhang, S., Zhang, X., Yang, B., Yan, F. et al. (2023). Stability Analysis and Control of DC Distribution System with Electric Vehicles. Energy Engineering, 120(3), 633–647.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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