基于迭代求解的容差模拟电路多参数故障诊断
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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。
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 nonfaulty 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.
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 nonfaulty 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.
引文
[1]TADEUSIEWICZ M,HALGAS S,KUCZYNSKI A.New aspects of fault diagnosis of nonlinear analog circuits[J].International Journal of Electronics and Telecommunications,2015,61(1):83-93.
[2]AMINIAN M,AMINIAN F.A modular fault-diagnostic system for analog electronic circuits using neural networks with wavelet transform as a preprocessor[J].IEEE Transactions on Instrumentation and Measurement,2007,56(5):1546-1554.
[3]唐小峰,许爱强,李文海.多层次模拟电路随机变异生成方法研究[J].中国测试,2016,42(1):12-15,64.
[4]周启忠,谢永乐,毕东杰,等.一种模拟电路参数型故障诊断新方法[J].电子科技大学学报,2017(2):386-391.
[5]AMINIAN M,AMINIAN F.A modular fault-diagnostic system for analog electronic circuits using neural networks with wavelet transform as a preprocessor[J].IEEE Transactions on Instrumentation and Measurement,2007,56(5):1546-1554.
[6]TADEUSIEWICZ M,HALGAS S,KORZYBSKI M.An algorithm for soft-fault diagnosis of linear and nonlinear circuits[J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2002,49(11):1648-1653.
[7]ZHAO G,ZHOU L,YANG Y.Soft fault diagnosis in analog circuit based on fuzzy and direction vector[C]∥IEEE Circuits and Systems International Conference on Testing and Diagnosis,2009:1-4.
[8]BHUNIA S,RAYCHOWDHURY A,ROY K.Defect oriented testing of analog circuits using wavelet analysis of dynamic supply current[J].Journal of Electronic Testing,2005,21(2):147-159.
[9]XIE Y,LI X,XIE S,et al.Soft fault diagnosis of analog circuits via frequency response function measurements[J].Journal of Electronic Testing,2014,30(2):243-249.
[10]LONG B,LI M,WANG H,et al.Diagnostics of analog circuits based on LS-SVM using time-domain features[J].Circuits Systems and Signal Processing,2013,32(6):2683-2706.
[11]JAHANGIRI M,RAZAGHIAN F.Fault detection in analogue circuits using hybrid evolutionary algorithm and neural network[J].Analog Integrated Circuits and Signal Processing,2014,80(3):551-556.
[12]DENG Y,SHI Y,ZHANG W.An approach to locate parametric faults in nonlinear analog circuits[J].IEEE Transactions on Instrumentation and Measurement,2012,61(2):358-367.
[13]TADEUSIEWICZ M,HALGAS S.Multiple soft fault diagnosis of nonlinear circuits using the continuation method[J].Journal of Electronic Testing,2012,28(4):487-493.
[14]TADEUSIEWICZ M,HALGAS S.Multiple soft fault diagnosis of BJT circuits[J].Metrology and Measurement Systems,2014,21(4):663-674.
[15]TADEUSIEWICZ M,HALGAS S.Multiple soft fault diagnosis of nonlinear DC circuits considering component tolerances[J].Metrology and Measurement Systems,2011,18(3):349-360.
[16]郭栋梁,刘新妹,殷俊龄,等.通用电路板自动故障诊断系统的设计与实现[J].中国测试,2016,42(7):112-116.
[17]CUI Y,SHI J,WANG Z.Analog circuits fault diagnosis using multi-valued Fisher's fuzzy decision tree(MFFDT)[J].International Journal of Circuit Theory and Applications,2016,44(1):240-260.
[18]胡梅,樊敏.一种模拟电路功能模块故障诊断的方法[J].电子测量与仪器学报,2015,29(5):676-684.
[19]周启忠,谢永乐.基于矩阵扰动的模拟电路故障诊断方法[J].西南交通大学学报,2017,52(2):369-378.
[2]AMINIAN M,AMINIAN F.A modular fault-diagnostic system for analog electronic circuits using neural networks with wavelet transform as a preprocessor[J].IEEE Transactions on Instrumentation and Measurement,2007,56(5):1546-1554.
[3]唐小峰,许爱强,李文海.多层次模拟电路随机变异生成方法研究[J].中国测试,2016,42(1):12-15,64.
[4]周启忠,谢永乐,毕东杰,等.一种模拟电路参数型故障诊断新方法[J].电子科技大学学报,2017(2):386-391.
[5]AMINIAN M,AMINIAN F.A modular fault-diagnostic system for analog electronic circuits using neural networks with wavelet transform as a preprocessor[J].IEEE Transactions on Instrumentation and Measurement,2007,56(5):1546-1554.
[6]TADEUSIEWICZ M,HALGAS S,KORZYBSKI M.An algorithm for soft-fault diagnosis of linear and nonlinear circuits[J].IEEE Transactions on Circuits and Systems I:Fundamental Theory and Applications,2002,49(11):1648-1653.
[7]ZHAO G,ZHOU L,YANG Y.Soft fault diagnosis in analog circuit based on fuzzy and direction vector[C]∥IEEE Circuits and Systems International Conference on Testing and Diagnosis,2009:1-4.
[8]BHUNIA S,RAYCHOWDHURY A,ROY K.Defect oriented testing of analog circuits using wavelet analysis of dynamic supply current[J].Journal of Electronic Testing,2005,21(2):147-159.
[9]XIE Y,LI X,XIE S,et al.Soft fault diagnosis of analog circuits via frequency response function measurements[J].Journal of Electronic Testing,2014,30(2):243-249.
[10]LONG B,LI M,WANG H,et al.Diagnostics of analog circuits based on LS-SVM using time-domain features[J].Circuits Systems and Signal Processing,2013,32(6):2683-2706.
[11]JAHANGIRI M,RAZAGHIAN F.Fault detection in analogue circuits using hybrid evolutionary algorithm and neural network[J].Analog Integrated Circuits and Signal Processing,2014,80(3):551-556.
[12]DENG Y,SHI Y,ZHANG W.An approach to locate parametric faults in nonlinear analog circuits[J].IEEE Transactions on Instrumentation and Measurement,2012,61(2):358-367.
[13]TADEUSIEWICZ M,HALGAS S.Multiple soft fault diagnosis of nonlinear circuits using the continuation method[J].Journal of Electronic Testing,2012,28(4):487-493.
[14]TADEUSIEWICZ M,HALGAS S.Multiple soft fault diagnosis of BJT circuits[J].Metrology and Measurement Systems,2014,21(4):663-674.
[15]TADEUSIEWICZ M,HALGAS S.Multiple soft fault diagnosis of nonlinear DC circuits considering component tolerances[J].Metrology and Measurement Systems,2011,18(3):349-360.
[16]郭栋梁,刘新妹,殷俊龄,等.通用电路板自动故障诊断系统的设计与实现[J].中国测试,2016,42(7):112-116.
[17]CUI Y,SHI J,WANG Z.Analog circuits fault diagnosis using multi-valued Fisher's fuzzy decision tree(MFFDT)[J].International Journal of Circuit Theory and Applications,2016,44(1):240-260.
[18]胡梅,樊敏.一种模拟电路功能模块故障诊断的方法[J].电子测量与仪器学报,2015,29(5):676-684.
[19]周启忠,谢永乐.基于矩阵扰动的模拟电路故障诊断方法[J].西南交通大学学报,2017,52(2):369-378.