基于分支定界法的电能表计量电路容差设计方法

Tolerance design based on branch-and-bound method for metering circuit of electrical energy meter

结合单相智能电能表计量电能准确度要求高的特点,建立描述批次单相智能电能表基本误差一致性的模型,提出相应的容差设计优化目标及约束条件。利用整数规划思想,提出一种面向离散型设计变量的容差设计方法。在此基础上,以加工成本作为优化目标、计量误差的变化范围作为约束条件,对某型号单相智能电能表的计量电路进行容差设计优化。通过设置不同的误差变化范围界限值,获得相应的元器件公差等级和成本值。优化结果表明,所提方法在控制误差变化范围的同时,有效地将成本最小化,适用于单相智能电能表计量电路的容差设计。

According to its requirements for high metering accuracy,a basic measuring error consistency model for a batch of single-phase intelligent electrical energy meter is established and the corresponding optimization objective and constraint of its tolerance design are proposed. A tolerance design method for discrete design variables is proposed based on the concept of integer linear programming and the tolerance design of metering circuit for a type of single-phase intelligent electrical energy meter is optimized with the production cost as the objective and the range of measuring error as the constraint. The corresponding component tolerance grades and production costs are obtained by setting different error ranges. The optimization results show that,the proposed method controls the measuring error range while efficiently minimizes the cost,suitable for the tolerance design of single-phase intelligent electrical energy meter.