### Electrical Measuring Techniques

#### Course Description

Definiton of metrology terms. SI system. Standards of electric and magnetic quantities. Analysis of measurement results. Least-squares theory. Arithmetic mean. Uncertainty of measurement. Coverage factor and effective degree of freedom. Measuring resistances, capacitors and inductors. Measuring amplifiers: application and limits. Sources, cables and displays. Resolution; Accuracy and sources of errors. Applications and limits of analogue instruments. A/D converters in measuring instruments. Applications and limits of digital instruments. Transducers with standardized output quantities. Null, bridge, direct and comparison methods. Measurement of voltage, current and resistance. Measurement of power and energy. Measurement of impedance. Mea surement of non-electrical quantities. Unbalanced bridges. Laboratory communication Interfaces. Virtual Instruments. Software for metrology.

#### Learning Outcomes

1. to evaluate the measurement uncertainty
2. specify the requirements for measuring elements
3. explain the principles of operation of analogue and digital measuring instruments
4. measure the electrical parameters using a digital oscilloscope, a suitable measuring instrument or bridge method
5. measure the force in DC, single-phase and three-phase systems
6. applied engineering approach to problem solving using acquired knowledge in physics, mathematics and electrical engineering basics

#### Forms of Teaching

Lectures

Lectures are designed as 12 thematic units that are logically continue each other. Following the lectures, students are introduced to the problem of measuring the spectrum of different quantities, in a wide range of their values​​. The lectures dealt with the computational examples.

Laboratory

Laboratory work provides 12 laboratory exercises that build on material from lectures. During the exercise, students have the opportunity to perform real measurements and apply the knowledge acquired in lectures.

#### Week by Week Schedule

1. Definition of metrology terms, SI system and dissemination of units
2. Standards of electric and magnetic quantities, Least-squares theory
3. Arithmetic mean, Uncertainty of measurement, Coverage factor and effective degree of freedom
4. Measuring resistances, capacitors and inductors, Sources; Cables and displays
5. Measuring amplifiers: application and limits
6. Resolution; Accuracy and sources of errors, Applications and limits of analogue instruments
7. A/D converters in measuring instruments
8. Midterm exam
9. Applications and limits of digital instruments, Transducers with standardized output quantities
10. Null, bridge, direct and comparison methods, Measurement of voltage, current and resistance
11. Measurement of power and energy, Measurement of impedance
12. Measurement of non-electrical quantities
13. Unbalanced bridges, Laboratory communication Interfaces
14. Virtual Instruments, Software for metrology
15. Final exam

(3. semester)

#### Literature

(.), 1. V. Bego: Mjerenja u elektrotehnici, Graphis, Zagreb, 2003.,
(.), 3. D. Vujević, B. Ferković: Osnove elektrotehničkih mjerenja, I. dio, Školska knjiga, Zagreb, 1994.,
(.), 4. D. Vujević, B. Ferković: Osnove elektrotehničkih mjerenja, II. dio, Školska knjiga, Zagreb, 1996.,
(.), Roman Malarić: Instrumentation and Measurement in Electrical Engineering, BrownWalker Press, 2011.,
(.), 22. Le Système International d’Unités (SI), 8e édition, BIPM, 2008.,
(.), J. Bucher: The Metrology Handbook, ASQ, 2004.,
(.), W. Nawrocki: Measurement Systems and Sensors, Artech House, 2005.,
(.), Robert B. Northrop: Introduction to Instrumentation and Measurements, 2nd edition, CRC Press, 2005.,
(.), Alan S. Morris: Measurement and Instrumentation Principles, Butterworth-Heinemann, 2001.,
(.), International Vocabulary of Metrology – Basic and General Concepts and Associated Terms (VIM 3rd edition), JCGM 200:2012 (JCGM 200:2008 with minor corrections),
(.), Evaluation of measurement data – Guide to the expression of uncertainty in measurement, JCGM 100:2008 (GUM 1995 with minor corrections),
(.), J. Webster: Measurement, Instrumentation and Sensors Handbook,,
(.), CRC Press, 1997.,
(.), 12. Robert H. Bishop: Learning With Labview 7 Express, Prentice Hall, 2003.,
(.), 14. Giorgio Rizzoni: Principles and Applications of Electrical Engineering, 3rd edition, Mc Graw Hill, 2000.,

#### General

ID 183389
Winter semester
4 ECTS
L1 English Level
L2 e-Learning
30 Lectures
0 Seminar
0 Exercises
39 Laboratory exercises
0 Project laboratory