Short-circuit current calculation for distribution networks with high penetration of distributed generation considering grid-forming control

SONG Zijia; LI Haifeng; WANG Gan; WU Zhengrong; LIANG Yuansheng; WANG Gang

doi:10.19783/j.cnki.pspc.260375

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Short-circuit current calculation for distribution networks with high penetration of distributed generation considering grid-forming control

更新时间：2026-10-15

- Short-circuit current calculation for distribution networks with high penetration of distributed generation considering grid-forming control
- Power System Protection and Control Vol. 54, Issue 20, (2026)
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- DOI：10.19783/j.cnki.pspc.260375
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- Published：2026
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SONG Zijia, LI Haifeng, WANG Gan, et al. Short-circuit current calculation for distribution networks with high penetration of distributed generation considering grid-forming control[J]. Power System Protection and Control, 2026, 54(20).
DOI：

SONG Zijia, LI Haifeng, WANG Gan, et al. Short-circuit current calculation for distribution networks with high penetration of distributed generation considering grid-forming control[J]. Power System Protection and Control, 2026, 54(20). DOI： 10.19783/j.cnki.pspc.260375.

摘要

目前，针对含跟网型分布式电源(distributed generation

DG)的配电网短路电流计算，普遍采用不动点迭代法进行求解。然而，随着DG容量增大以及渗透率增加，不动点迭代法的收敛性能变差。构网型DG接入后，会进一步增强短路电流计算的非线性特征，导致不动点迭代法收敛性能的进一步恶化。为此，提出了一种基于拟牛顿秩2方法的含DG配电网短路电流计算的新型迭代方法。首先，分析了构网型分布式电源接入对传统不动点迭代法收敛性能的影响。其次，结合具有较好收敛性能和收敛鲁棒性的拟牛顿秩2方法——Broyden-Fletcher-Shanno(B-F-S)方法，阐述了其基本原理，并给出了B-F-S方法在含DG短路电流计算中的具体应用步骤。然后，分析了构网型DG接入对于拟牛顿法数值稳定性的影响。最后，在IEEE43节点网络中验证了算法准确性。并以IEEE300节点电网为例，通过与现有方法进行对比分析，验证了所提算法具有更好的收敛性能以及收敛鲁棒性。

Abstract

The fixed-point iteration method is widely adopted for short-circuit current calculation in distribution networks integrated with grid-following distributed generation (DG). However

with the increasing DG capacity and penetration level

the convergence performance of the fixed-point iteration method deteriorates. The integration of grid-forming DG further intensifies the nonlinear characteristics of short-circuit current calculation

further degrading the convergence performance of the fixed-point iteration method. To address this challenge

a novel iterative method based on the quasi-Newton rank-two method is proposed for short-circuit current calculation in distribution networks with DG. First

the impact of grid-forming DG integration on the convergence performance of the conventional fixed-point iteration method is analyzed. Second

the Broyden-Fletcher-Shanno (B-F-S) method

a quasi-Newton rank-two method with good convergence performance and convergence robustness

is introduced. The basic principle of the B-F-S method is presented

and its implementation procedure for short-circuit current calculation with DG is provided. Furthermore

the influence of grid-forming DG integration on the numerical stability of the quasi-Newton method is investigated. Finally

the accuracy of the proposed algorithm is validated on the IEEE43-bus distribution network

and comparative analysis against existing methods on the IEEE300-bus power system demonstrates its improved convergence performance and robustness.

关键词

Keywords

references

HUANG Sen, YAO Jun, HE Wenwen, et al. Transient stability analysis and control strategy for paralleled grid- forming renewable power generations under symmetric faults[J]. Protection and Control of Modern Power Systems, 2025, 10(5): 165-180.

HADDADI A, FARANTATOS E, KOCAR I. A robust solver for phasor-domain short-circuit analysis with inverter-based resources[J]. arXiv: 2411. 12006, 2024.

WANG Q, ZHOU N, YE L. Fault analysis for distribution networks with current-controlled three-phase inverter- interfaced distributed generators[J]. IEEE Transactions on Power Delivery, 2015, 30(3): 1532-1542.

李庆扬, 莫孜中, 祁力群. 非线性方程组的数值解法[M]. 北京: 科学出版社, 1987.

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