作者：董海迪1, 王俊提1, 刘刚1, 郑建飞2
作者单位：1. 火箭军工程大学空间工程系, 陕西 西安 710025;
2. 火箭军工程大学控制工程系, 陕西 西安 710025
关键词：模拟电路;多故障;迭代求解;非线性电路
摘要：
该文研究容差条件下的非线性模拟电路多参数故障诊断问题，提出一种三阶段的故障诊断算法，实现故障元件的定位和参数估计。首先，假设非故障元件参数取标称值，通过矩阵方程迭代求解得到故障元件的参数近似值；然后，将故障隔离转化为容差约束下的线性规划问题求解，舍弃虚假解，得到真实故障集；最后，考虑非故障元件参数在容差范围内波动，采用线性规划方法对故障参数的近似值进行修正，得到容差条件下的故障元件参数取值范围。仿真实验验证算法的有效性，该算法适用于交/直流和非线性电路故障诊断，具有较高的诊断准确度和参数辨识准确度。
Multiple parameter fault diagnosis on analog circuits with tolerance based on iterative solution
DONG Haidi1, WANG Junti1, LIU Gang1, ZHENG Jianfei2
1. Department of Space Engineering, Rocket Force University of Engineering, Xi'an 710025, China;
2. Department of Automation, Rocket Force University of Engineering, Xi'an 710025, China
Abstract: This paper studies the multiple parameter fault diagnosis of nonlinear analog circuits with tolerances and puts forward a three-stage algorithm for fault diagnosis to realize the locating and parameter estimation of faulty circuit components. At first, assuming the parameter of the non-faulty component is the nominal value, and the approximate parameter of the faulty component is obtained through iterated matrix equation. Then, fault isolation is transformed to a linear-programming concept under tolerance constraints and virtual sets are removed to get real sets. At last, considering that the parameters of non-faulty components fluctuate within the range of tolerances, a linear programming method is adopted to correct the approximate values of fault parameters and the range of the faulty component parameters under the tolerances is got. The effectiveness of the algorithm is verified by simulation test. With high diagnosis accuracy and parameter identification precision, the algorithm is applicable to fault diagnosis of AC/DC linear and nonlinear circuits.
Keywords: analog circuit;multiple faults;iteration solution;nonlinear circuits
2018, 44(4): 31-36,47 收稿日期: 2017-09-10;收到修改稿日期: 2017-12-10
基金项目: 国家杰出青年基金（61025014）；国家自然科学基金（61403399）
作者简介: 董海迪(1988-),男,湖北武汉市人,博士研究生,研究方向为模拟电路测试与故障诊断。
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