Abstract
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.
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This method allows measuring an amount of non-linearity at discrete points in a bridge measuring range.
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The control of its nonlinearity is possible in both, the lower and the upper part of a bridge measuring range.
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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.
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Machin, G., et al.: Report of the new Kelvin dissemination workshop: 27th–28th Oct 2010. Metrologia 48, 68–69 (2011)
Palafox, L.: PTB develop quantum-based impedance bridges. Measure 7(1), 4 (2012)
Machin, G., et al.: A European roadmap for thermometry, EURAMET TC-T (2012). http://www.euramet.org/index.php?id=roadmaps. Accessed 30 Aug 2017
Kibble, B.P., Rayner, G.N.: Coaxial AC Bridges. NPL Management Ltd., p. 203 (1984)
Awan, S., Kibble, B., Schurr, J.: Coaxial Electrical Circuits for Interference-Free Measurements. Institution of Engineering and Technology, London (2011)
Uncertainties in the realization of the SPRT Subranges of the ITS-90, CCT-WG3 on Uncertainties in Contact Thermometry, CCT/08-19/rev, 10 July 2009. www.bipm.org/cc/CCT/…/24/D19_rev_WG3_Doc_rev_10July2009.pdf
Avramov, S., Oldham, N.: Automatic calibration of inductive voltage dividers for the NASA Zeno experiment. Rev. Sci. Instrum. 64(9), 2676–2678 (1993)
Avramov, S., Oldham, N., Gammon, R.: Inductive voltage divider calibration for a NASA flight experiment. NCSL Workshop Symp. Session 3C, 225–232 (1993)
Hill, J.J., Deacon, T.A.: Theory, design and measurement of inductive voltage divider. Proc. Inst. Elect. Eng. 115(5), 727–735 (1968)
Callegaro, L., Bosco, G.C., D’Elia, V., Serasio, D.: Direct-reading absolute calibration of AC volage ratio standards. IEEE Trans. Instrum. Meas. 52(2), 380–383 (2003)
Zapf, T.L., Chinburg, C.H., Wolf, H.K.: Inductive voltage divider with calculable relative correction. IEEE Trans. Instrum. Meas. IM-12(2), 380–383 (1963)
Hamon, B.V.: A 1–100 Ω build-up resistor for the calibration of the standard resistors. J. Sci. Instr. 31(12), 450–453 (1954)
Riley, J.C.: The accuracy of series and parallel connections of four-terminal resistors. IEEE Trans. Instrum. Measur. IM-16(3), 258–268 (1967). https://doi.org/10.1109/tim.1967.4313632
Page, C.H.: Tetrahedral junction error contribution to a series-parallel four-terminal resistor. IEEE Trans. IM-23, 5–8 (1974)
Joung, W., Gam, K.S., Yang, I., Kim, Y-G.: Uncertainty assessment of resistance thermometry bridges. In: XX IMEKO World Congress, Metrology for Green Growth, Busan (2012)
White, D.R.: A method for calibrating resistance thermometry. In: Marcarino, P. (ed.) Levrotto and Bella, Torino, pp. 129–134 (1996)
White, D.R., Jones, K., Williams, J.M., Ramsey, I.E.: A simple resistance network for calibrating resistance bridges. IEEE Trans. Instrum. Measur. 46(5), 1068–1074 (1997)
Resistance Bridge Calibrators Models RBC100 m & Rbc400 m, User Maintenance Manual/Handbook. www.isotech.co.uk. Accessed 25 Sept 2017
Nicholas, J.V., White, D.R.: Traceable Temperatures. An Introduction to Temperature Measurement and Calibration. Wiley (2001)
Dichotomy Method. www.encyclopediaofmath.org. Accessed 25 Sept 2017
Mikhal, A.A., Warsza, Z.L.: Unconventional method of determination the nonlinearity of precision thermometric bridges. Pomiary Automatyka Kontrola 59(1), 19–22 (2013)
Mikhal, A.A., Warsza, Z.L.: Simple methods to measure the additive error and integral nonlinearity of precision thermometric bridges. In: TEMPMEKO 2013, Madeira, Portugal, Book of Abstracts, p. 351 (2013) and poster
Mikhal, A.A., Warsza, Z.L.: Simple methods to measure the additive error and integral nonlinearity of precision thermometric bridges. In: Progress in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol. 352, pp. 157–170. Springer (2015)
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Mikhal, A., Warsza, Z.L. (2019). Bisection Method for Measuring Integral Nonlinearity of Precision Thermometry Bridges. In: Świder, J., Kciuk, S., Trojnacki, M. (eds) Mechatronics 2017 - Ideas for Industrial Applications. MECHATRONICS 2017. Advances in Intelligent Systems and Computing, vol 934. Springer, Cham. https://doi.org/10.1007/978-3-030-15857-6_32
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DOI: https://doi.org/10.1007/978-3-030-15857-6_32
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