Bisection Method for Measuring Integral Nonlinearity of Precision Thermometry Bridges

  • Aleksandr Mikhal
  • Zygmunt L. WarszaEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 934)


The highest precision bridges are produced by only a few leading companies in the World. They base on the concept of AC transformer multi-decade bridges developed in the 1960–1970 period. Despite this, their metrological characteristics is not inferior to Quantum-Based Impedance Bridges and allows to do more precise measurements than accuracy of the best standard resistors. Obviously, the usage of such bridges requires certification and regular checking. Therefore, the development of new calibration methods and control methods for main metrological characteristics of the AC transformer thermometric bridges is particularly an important task.

A critical analysis considering existent control methods of the integral nonlinearity of bridges will be provided in the full paper version. The features of their use and their limitations are discussed. A new control method of the integral nonlinearity of precision bridges, named as the bisectional method, was developed and analyzed. This method is based on a selection of points for nonlinearity control, carried out by a dichotomy algorithm. There are following differences of metrological properties between bisection and other methods.
  • This method allows measuring an amount of non-linearity at discrete points in a bridge measuring range.

  • The control of its nonlinearity is possible in both, the lower and the upper part of a bridge measuring range.

  • The method has a very high sensitivity.

A resistance circuit for realization of the bisectional method is proposed. This circuit was tested experimentally for the AC transformer bridge with resolution better than 7 decades. The obtained experimental results and calculated values of the integral nonlinearity of this bridge are almost coincided. Then the ability to control the integral nonlinearity of 0.1 ppm value using this method was proven. In conclusions, the possibility of using a control resistance circuit with the bisectional method for existing AC bridges or for other concept is proposed.


Bisectional method Integral nonlinearity Measurement error Precision thermometry bridge 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of ElectrodynamicsNational Academy of Science of UkraineKyiv-57Ukraine
  2. 2.Industrial Research Institute of Automation and Measurement (PIAP)WarsawPoland

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