利用场量旋转变换的电容层析成像灵敏度系数简易计算方法  

Simplified Method for Electrical Capacitance Tomography Sensitivity Coefficient Computation with Specific-Electrode-Excited Field Quantities Rotation Transformation

作　　者：唐凯豪 胡红利[1] 李林[1] 王小鑫 TANG Kaihao;HU Hongli;LI Lin;WANG Xiaoxin(School of Electrical Engineering, Xi’an Jiaotong University, Xi’an 710049, China;School of Electronic Engineering, Xi’an Shiyou University, Xi’an 710065, China)

机构地区：[1]西安交通大学电气工程学院,西安710049 [2]西安石油大学电子工程学院,西安710065

出　　处：《西安交通大学学报》2019年第3期75-80,87,共7页Journal of Xi'an Jiaotong University

基　　金：国家自然科学基金资助项目(51777151);陕西省工业科技攻关计划资助项目(2016GY-001)

摘　　要：为减少电容层析成像(Electrical Capacitance Tomography,ECT)传感器灵敏度系数计算过程的烦琐程度,提出了利用电势函数旋转变换计算二维ECT传感器灵敏度系数的场量旋转变换方法。首先分析了ECT传感器场的特点,基于矩阵函数微分理论推导得出了ECT敏感场的旋转对称性表达式,并据此提出了适用于正问题数值解的灵敏度系数计算方法以及成像区域的均匀剖分算法。该方法运用二元函数的旋转变换,仅通过一次数值计算即可求解传感器的二维灵敏度系数,计算过程较传统场量提取法更加简便。之后,比较了运用提出的方法和传统场量提取法计算的ECT灵敏度系数,并通过仿真与实测实验比较了基于上述两种灵敏度系数矩阵的图像重构结果。实验结果表明,提出的方法与传统方法的灵敏度系数矩阵计算结果吻合,运用提出的方法重构的图像与传统灵敏度系数矩阵重构图像吻合,提出的方法正确且有效。To reduce the complexity of electrical capacitance tomography sensitivity coefficient computation, a sensitivity coefficient computation method with potential rotation transformation is proposed. This method requires only once numerical computation to obtain the potential excited by a specific electrode, and then the sensitivity coefficients can be computed by the proposed potential rotation transformation algorithm. The proposed method is more convenient than the traditional method, which requires several numerical computations, to obtain the potential functions excited by each electrode. The sensitivity coefficients obtained by the traditional method and the proposed method are compared via simulation, and the reconstructed images obtained by the two methods are compared via experiment. The simulation and experiment show that the sensitivity coefficients and the reconstructed images obtained by the two methods are consistent, which verifies the correctness and effectiveness of the proposed method.

关 键 词：电容层析成像 灵敏度系数计算 场量旋转变换 电容层析成像正问题 

分 类 号：TN911.7[电子电信—通信与信息系统]