Radiality constraints are involved in both distribution system restoration and reconfiguration problems. However, a set of widely used radiality constraints, i.e., the spanning tree (ST) constraints, has its limitations which have not been well recognized. In this letter, the limitation of the ST constraints is analyzed and an effective set of constraints, referred to as the single-commodity flow constraints, is presented. Furthermore, a combined set of constraints is proposed and case studies indicate that the combined constraints can gain computational efficiency in the reconfiguration problem. Recommendations on the use of radiality constraints are also provided.

中文翻译：

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关于配电系统恢复和重构问题的辐射约束

分布系统恢复和重新配置问题都涉及径向约束。然而，一组广泛使用的径向约束，即生成树（ST）约束，有其尚未被充分认识的局限性。在这封信中，分析了 ST 约束的局限性，并提出了一组有效的约束，称为单一商品流动约束。此外，提出了一组组合约束，案例研究表明组合约束可以在重新配置问题中获得计算效率。还提供了有关使用径向约束的建议。