本論文是將各參數引入公差來深入解析惠斯登電橋，並導出精確解式子，再利用binary search演算法與matlab軟體，以期求得所對應之量測值，同時對惠斯登電橋進行蒙地卡羅分析。經由離群值存在的事實發現惠斯登電橋本質上的量測問題，找出惠斯登電橋量測奇異點的地方，並証明越靠近量測奇異點的位置，越容易出現離群值，進而推導出式子來概括論述奇異點所在位置與各參數間的關係。除此之外，將我們分析所得的結果與田口玄一博士及黎正中教授用直交表分析的結果做一個徹底而完整的比較是為本論文的另一大要點。 In this thesis, the Wheatstone bridge is deeply analyzed by introducing the tolerance of each component and the exact formula is derived to show the relationship of parameters. It is found out that the existence of the singularity for the measured parameter is the essential measuring error of Wheatstone bridge. Monte Carlo Method by combining binary search algorithm in Matlab is used to solve the value of corresponding measured parameter. While the set of parameters is close to the location of singularity, it results the value of measured parameter to be an outlier, i.e. less measurement accuracy. Additionally, the explanation of the relation between the location and all parameters by the derived formula is given. Comparison of our results with Dr. Taguchi’s and Dr. Chang Chung Li’s results by orthogonal matrix is another key point and it shows our result is consistent with the one of Dr. Li.
