We present a method for joint phase identification and topology recovery in unbalanced three phase radial networks using only voltage measurements. By recovering phases and topology jointly, we utilize all three phase voltage measurements and can handle networks where some buses have a subset of three phases. Our method is theoretically justified by a novel linearized formulation of unbalanced three phase power flow and makes precisely defined and reasonable assumptions on line impedances and load statistics. We validate our method on three IEEE test networks simulated under realistic conditions in OpenDSS, comparing our performance to the state of the art. In addition to providing a new method for phase and topology recovery, our intuitively structured linearized model will provide a foundation for future work in this and other applications.

中文翻译：

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三相配电网中的保证相位和拓扑识别

我们提出了一种仅使用电压测量在不平衡三相径向网络中进行联合相位识别和拓扑恢复的方法。通过联合恢复相位和拓扑，我们利用所有三相电压测量，并且可以处理某些总线具有三相子集的网络。我们的方法在理论上通过不平衡三相功率流的新型线性化公式得到证明，并对线路阻抗和负载统计做出精确定义和合理的假设。我们在 OpenDSS 中真实条件下模拟的三个 IEEE 测试网络上验证了我们的方法，将我们的性能与最先进的技术进行了比较。除了为相位​​和拓扑恢复提供新方法外，我们直观结构化的线性化模型将为未来在此应用程序和其他应用程序中的工作奠定基础。