作者：董海迪1, 刘刚1, 何兵1, 李永强2, 王世涛3
作者单位：1. 火箭军工程大学, 陕西 西安 710025;
2. 96861部队, 河南 洛阳 471600;
3. 海军研究院, 北京 100161
关键词：模拟电路;参数故障;系统搜索;非线性
摘要：
针对容差条件下非线性模拟电路的多参数故障诊断问题，提出一种系统搜索算法求解故障参数，实现故障元件的定位和参数辨识。首先将非线性测试方程的多解求解转化为差分方程的初值问题；然后采用牛顿法迭代生成简单曲线簇，沿曲面方向进行测试方程的解搜索，并通过四阶龙格库塔法计算初值问题的数值解，显著提高方程组解的求解效率，降低漏解的风险；最后将故障集验证转化为容差约束下的线性规划问题求解，实现故障元件定位，并通过实际电路实验验证该算法的有效性。该算法适用于含BJT和CMOS等非线性电路的故障诊断，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 system search algorithm
DONG Haidi1, LIU Gang1, HE Bing1, LI Yongqiang2, WANG Shitao3
1. Rocket Force University of Engineering, Xi'an 710025, China;
2. Unit 96861, Luoyang 471600, China;
3. Naval Academy of Armament, Beijing 100161, China
Abstract: This paper is devoted to multiple soft fault diagnosis of nonlinear analog circuits considering component tolerances. A system search algorithm is proposed to locate the faulty circuit components and evaluate their values. At first, the problem to find multiple solutions of the algebraic testequation is reformulated in terms of the initial value problem. Then, simple curve clusters are generated by Newton iteration method, along the direction of which, solution for tested equation is searched, and the explicit Runge–Kutta method of fourth order is applied to calculate the numerical solution of initial value problems, which improve the efficiency of solving the equations and reduce the risk of losing solution. At last, a linear-programming concept is developed to transform fault results verification to checking existence of a feasible solution. Numerical examples manifest the correctness and effectiveness of the proposed method. The method is suitable for BJT and CMOS circuits.
Keywords: analog circuit;parameter faults;system search;nonlinear circuits
2019, 45(7):134-139 收稿日期: 2018-01-18;收到修改稿日期: 2018-05-20
基金项目: 国家自然科学基金资助项目（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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