基于阻抗补偿的三相四线制配电网前推回代潮流算法

GAO Yajing

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基于阻抗补偿的三相四线制配电网前推回代潮流算法

更新时间：2025-08-13

- 基于阻抗补偿的三相四线制配电网前推回代潮流算法
- Automation of Electric Power Systems Vol. 39, Issue 7, Pages: 47-51(2015)
- 作者机构：
  
  新能源电力系统国家重点实验室华北电力大学,河北省,保定市,071003
- 作者简介：
- 基金信息：
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- Published：2015
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GAO Yajing. [J]. Automation of electric power systems, 2015, 39(7): 47-51.
DOI：

GAO Yajing. [J]. Automation of electric power systems, 2015, 39(7): 47-51. DOI：

摘要

在三相四线制配电网中，中性线重复接地对前推回代潮流算法存在收敛性问题。分析了中性线重复接地导致前推回代潮流算法难收敛的原因，提出一种基于阻抗补偿的三相四线制配电网前推回代潮流算法，改善了潮流计算的收敛性，并保证补偿前后的潮流结果不变。该方法通过在接地电阻和重复接地点之间补偿一对大小合适且取值相反的阻抗，减小了不动点迭代雅可比矩阵的谱半径，使之满足压缩映射的条件，从而保证潮流计算收敛。算例验证了所提方法的正确性。

Abstract

Convergence problems in forward/backward sweep power flow algorithms may arise because of neutral grounding resistance in multi-grounded three-phase four-wire distribution networks. The causes of the convergence problem are analyzed and an impedance compensation method of addressing this problem is described. The proposed method is able to guarantee the convergence and keep the power flow solution unchanged. By adding two serial impedances with opposite value between the grounding resistance and the neutral point

the spectral radius of the Jacobian matrix in fixed-point iteration is reduced to below 1

which satisfies the requirement of contraction mapping. Finally

the results of numerical tests have demonstrated the correctness of the method and its practical values. This work is supported by National Key Technologies R&D Program of China (No. 2013BAA01B01) and Important Guizhou Science & Technology Specific Projects (No. (2012)6022).

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