2 Methods for measuring parameters of a capacitor

4. Results

The statistic gives us lots of tools to process measured data and represent every sample with only one point. Among the most famous are: range, standard deviation, median, mode…….

All results were processed by the software product Octave [8]. Octave is distributed under General Public License GNU and is free open source solution used in numerical computations through high-level language very similar to those used in Matlab. Its graphical and visual capabilities as well as its portability turn it into a great substitution of Matlab.

Table 3. True measured values used

Table 3 above presents true and measured average values for the fourth measurement tools when 950 pF, 2 nF and 5 nF were applied. The results clearly show that …..

A bit more readable results are provided by Hellinger distance (Fig. 3). Again Digital meter LCR E7-8 and NI ELVIS give the highest value in 10 µF. …..

All results presented above follow the pattern of increasing the error/distance when increasing the true value. However, much more reliable results could be obtained if relative errors/distances are used…….

Fig. 3.Hellinger distance

From the other side, Bray-Curtis distance (Figure 4) gives the lowest values in the range of about 0.50 µF. When ….

Fig. 4. Bray-Curtis distance

……………………

5. Conclusions

All methods proved that the most inaccurate measurement tool used in experiments is the Digital LCR Meter E7-8 followed by NI ELVIS II. On the other hand when …

To eliminate these disadvantage relative methods could be applied. However, there is no analogy between the relative Hellinger and Bray-Curtis distances and classical relative methods (Relative MSE). Consequently relative Hellinger and Bray-Curtis distances are not applicable to capacity comparatives.

6. References

[1] H. K. Radev. Metrologiya i izmervatelna tehnika, tom 1,2,3, Sofiya, Softreyd, 2010, ISBN 978-954-334-094-1

[2] B. I. Matrakov. Elektricheski izmervaniya, Sofiya, IPK pri TU, 1999

[3] /

mathematica/guide/DistanceAndSimilarity

Measures.html, accessed on June 24th, 2013

……………

[8] /software/octave/,

accessed on June 24th, 2013

Acknowledgments

This paper presents the results obtained from the work of the project …..

Authors:

Veselka Marinova Ivancheva, MSc in Electronics (1978), PhD in Electronics (2000), Assoc. prof. (2002) in the Department of Electrical Measurements, Faculty of Automatics, Technical University Sofia, Bulgaria. Scientific field and interests: Electrical Measurements, Measurement of Non-electrical Quantities.

Radoslav Tsvetkov Deliyski. MSc in Automatics, Informatics and Control Engineering (2002), PhD in Robotics and Manimulators (2009). Senior assistant professor (2009) in the Department of Electrical measurenments, Faculty of Automatics, Technical University of Sofia, Bulgaria. Scientific field and interests: Statistical Process Control, Visual Quality Control System, Intelligent Measurment Systems.

Krasimir Simeonov Galabov, MSc in Automatics, Informatics and Control Engineering (2007), Assistant professor (2010) in the Department of Electrical Measurements, Faculty of Automatics, Technical University Sofia, Bulgaria. Scientific field and interests: metrology, virtual instruments.

Сравнительный анализ измерений емкости

Веселка Иванчева¹⁾, Радослав Делийски¹⁾, Kрасимир Гълъбов¹⁾,
Божидар Джуджев¹⁾, Силвия Качулкова¹⁾

¹⁾Технический университет-София, Факультет Автоматики, Кафедра „Электроизмерительной техники“, София 1000, бул. Климент Охридски № 8

e-mails: ivancheva@yahoo.com , rdeliyski@yahoo.co.uk, k_galabov@tu-sofia.bg , bojidar.djudjev@abv.bg , kachulkova@abv.bg

Web address: www.tu-sofia.bg

Резюме: В докладе представляется сравнительный анализ измерений емкости. Многократно измерены данные значения емкости RLC прибором, мостом Вина, а так же и NI ELVIS II. Для задания эталонного значения емкости в диапазоне от 1nF до 50μF использован многофункциональный калибратор CX 1651. Полученные данные анализированы определением относительной и средно-квадратической погрешностью, а так же и через определеним расстоянием Хелингера и Брей-Картиса.

Ключевые слова: емкость, мосты переменного тока, определение соответствия, расстояния Хелингера и Брей-Картиса

Сравнителен анализ при измерване на капацитет

Веселка Иванчева¹⁾, Радослав Делийски¹⁾, Kрасимир Гълъбов¹⁾,
Божидар Джуджев¹⁾, Силвия Качулкова¹⁾

¹⁾Технически университет-София, Факултет Автоматека, Катедра „Електроизмервателна техника“, София 1000, бул. Климент Охридски № 8

e-mails: ivancheva@yahoo.com , rdeliyski@yahoo.co.uk, k_galabov@tu-sofia.bg , bojidar.djudjev@abv.bg , kachulkova@abv.bg

Web address: www.tu-sofia.bg

Резюме – В този доклад се извършва сравнителен анализ при измерване на капацитет. Многократно са измерени стойности на капацитет с RLC уреди, мост на Вин, както и с NI ELVIS II. За задаване на еталонна стойност в обхвата от 1nF до 50μF е използван многофункционален калибратор CX 1651. Получените данни са анализирани чрез определяне на относителната и средно-квадратична грешка, а също така и чрез определяна на разстоянието на Хелингер и на Брей-Къртис.

Ключови думи: капацитет, мостове за променлив ток, определяне на съответствие, разстояния на Хелингер и Брей-Къртис