A tree topology electric energy meter cluster is demonstrated, giving the premise of energy conservation, providing any meter relative error, all the other meters relative errors can be accomplished according to a group of meter readings. This method for meter relative error requires no extra standard instrument A virtual branch and a virtual load are introduced to present meter power consumption, leaked current power consumption and line resistor consumption. According to law of energy conservation, the problem is transformed to solving a linear or quadratic equation group and numeric method is employed. This algorithm needs the aid of data base with historical readings. Remote automatic reading function of smart meter makes the algorithm applicable. And the algorithm can reduce the cost for maintaining of the meters and help to determine the meters serving time scientifically. The experiment shows that the range of result error is about 0. 6%.%论证了在树形拓扑的电能表集群中,若已知任一电能表的相对误差,则其他所有电能表的相对误差均可由集群的多次读数计算得到,而无需借助外部标准仪器.在模型中引入了虚拟支路,该支路包含虚拟电能表和虚拟负载.虚拟负载反映集群中各种损耗,包括电能表损耗、漏电损耗、线路电阻损耗.利用能量守恒原理,将问题转化为求解线性或二次方程组.使用数值方法求解.算法的应用依赖于数据库及大量历史数据.智能电表的普及使算法具有实际应用前景.该算法可降低在用电能表的维护成本,有助于合理确定电能表的服役年限.实例验证中,计算结果的误差范围约为0.6％.
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