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研究电力系统中具有 2类故障的设备 ,其目的是导出该设备的可靠性指标、最优诊断参数临界值和最优检测周期。假定该设备正常工作时可能直接发生第 1类故障 ,也可能经过异常后发生第 2类故障。设备在故障时不需检测 ,而工作时必须经过检测才能知道是正常还是异常 ,且检测结果有可能出现错误。利用概率分析、补充变量和最优化方法 ,不但求出了设备的可靠性指标 ,而且得到了设备的最优诊断参数临界值和最优检测周期 ,该最优值使设备在平稳状态下单位时间内获得的平均利润最大。数值算例说明这种方法是可行的
The purpose of this paper is to study the equipment with 2 types of faults in the power system. The purpose is to derive the reliability index, the threshold value of the optimal diagnostic parameters and the optimal detection period. It is assumed that the first type of fault may occur directly during the normal operation of the equipment, and the second type of fault may occur after the exception. The device does not need to detect when it breaks down, but it must be tested to know whether it is normal or abnormal during operation, and the test result may be wrong. Probabilistic analysis, supplementary variables and optimization methods not only find out the reliability index of the equipment, but also get the critical value of the optimal diagnostic parameters and the optimal detection period of the equipment, which makes the equipment in steady state unit time Within the largest average profit. Numerical examples show that this method is feasible