Metrology

Lecturer:

Jaroslav Boháček (gar.), Radek Sedláček

Tutor:

Jaroslav Boháček (gar.), Radek Sedláček

Supervisor:

Department of Measurement

Synopsis:

After a brief description of the role of the most important domestic and foreign metrological organizations and institutions, explanation is focused on units of measurable quantities and possibilities of their definition, realization, conservation and reproduction by means of measurement standards. After that, attention is paid to measurement methods and techniques for evaluating and increasing measurement accuracy. Facilities and methods applicable to precision measurements of both active and passive electrical quantities are described.

Requirements:

Syllabus of lectures:

1. Introduction. Physical quantities and their units. International system of units (SI).

2. Standards of electrical quantities. Quantum standards of voltage and resistance.

3. Thompson-Lampards capacitance standard. Transfer and collective standards.

4. Measurement methods.

5. Errors of direct measurements. Systematic and random errors. Allan variance.

6. Errors of indirect measurements, law of error propagation.

7. Measurement uncertainties. Law of propagation of uncertainty.

8. Evaluation of uncertainties by using a Monte Carlo method.

9. Inductive ratio devices and optimization of their metrological parameters.

10. Measurement of current. Current balance, electronic kilogram.

11. Potentiometers. Measurement of voltage and power in audiofrequency range.

12. Measurement of active electrical quantities with nonsinusoidal waveforms.

13. Bridges for measuring resistance and capacitance. Coaxial bridges.

Syllabus of tutorials:

1. Introductory exercise. Directives for metrological tests of measuring devices.

2. Calibration of digital voltmeters.

3. Calibration of resistance boxes.

4. Investigation of influence of the shield potential on parameters of capacitance standards.

5. Characterization of standards of self- and mutual inductance.

6. Thermoelectric transfer standard.

7. Collective standard of voltage.

8. Thompson-Lampards capacitance standard.

9. Application of Hamon transfer standards to precision measurement of voltage ratios.

10. Calibration of inductive voltage dividers.

11. Measurement uncertainties (examples of calculation).

12. Visit to the Czech Metrology Institute.

13. Discussion, assessment.

Study Objective:

Study materials:

[1] Boháček, J.: Metrology (in Czech). Publishing House of CTU, Prague 2011.

[2] Boháček, J.: Metrology of Electrical Quantities (in Czech). Publishing House of CTU, Prague 1994.

[3] Chudý, V. - Palenčár, R. - Kureková, E. - Halaj, M.: Measurement of Technical Quantities (in Slovak). Publishing House of STU, Bratislava 1999.

[4] Rabinovich, S. G.: Measurement Errors and Uncertainties: Theory and Practice. Springer, 2005.

[5] Evaluation of Measurement Data - Guide to the Expression of Uncertainty in Measurement. Joint Committee for Guides in Metrology, 2008, http://www.bipm.org/utils/common/documents/jcgm/JCGM_100_2008_E.pdf.

[6] Evaluation of Measurement Data - Supplement 1 to the „ Guide to the Expression of Uncertainty in Measurement“ - Propagation of Distributions Using a Monte Carlo Method. Joint Committee for Guides in Metrology, 2008,

http://www.bipm.org/utils/common/documents/jcgm/JCGM_101_2008_E.pdf.

Note:

Time-table for winter semester 2011/2012:

	06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
Fri	roomT2:A3-316d Boháček J. 14:30–16:00 (lecture parallel1) Dejvice Zasedačka 338roomT2:C4-s152 Boháček J. 16:15–17:45 (lecture parallel1) Dejvice Laboratoř TM
Thu
Fri

Time-table for summer semester 2011/2012:

Time-table is not available yet

The course is a part of the following study plans: