边际损耗分摊方法的负数问题研究

Negative loss allocation of marginal methods

从潮流的角度对边际损耗分摊方法产生负数的机理进行分析,提出了一种对损耗灵敏度的修正方法。在以任意节点为平衡节点计算得到的一组损耗灵敏度中,将损耗灵敏度最小的节点视为负荷中心,以此为基准对发电节点的损耗灵敏度进行修正;将损耗灵敏度最大的节点视为发电中心,以此为基准对负荷节点的损耗灵敏度进行修正。修正方式无需通过雅可比矩阵求逆运算,计算简单,物理意义清晰。算例表明,该修正方法可以消除负数,且不会出现非零功率注入节点分摊结果为零的情况。

The cause of negative results produced by the marginal loss allocation method is analyzed from the view of power flow and a way to modify the loss sensitivity is presented. With a set of loss sensitivities is calculated by taking an arbitrary node as the slack bus, the loss sensitivities of generator nodes are modified by taking the node which has the smallest loss sensitivity as the load center while the loss sensitivities of load nodes are modified by taking the node which has the largest loss sensitivity as the generator center. Without the inverse calculation of Jacobi matrix, it is simple and explicit in physical sense. Test results show the improved method avoids the negative results, as well as the zero results of nodes with power injection.