Diagnostics of Linear Electric Circuits by Nodes with the Minimal Number of Unknown Parameters
Abstract
The star method and the links-tree method used for electric circuit diagnostics are improved. To decrease the number of experiments and measurements, it is proposed to carry out diagnostics by nodes with the lowest degree. The approach is illustrated by examples of diagnosing circuits with nodes accessible and inaccessible for measurements. In the circuits having nodes accessible for measurements it is proposed to carry out measurements on the tree branches composed of branches incident to the nodes with the lowest degree. It is exactly such branches that are selected as the top-priority ones for diagnostics. By diagnosing their parameters it becomes possible to decrease the necessary number of experiments and, hence, the number of measurements. For diagnosing the next branches that are incident to nodes with a higher degree, additional experiments may not be needed, because the parameters of certain branches are already known. In the configurations the scheme of which is partially inaccessible for measurements, diagnostics of branch parameters is additionally based on drawing up the circuit determinants of compensated schemes in the system’s inaccessible part. The practical aim of the article is to achieve a fewer number of experiments and measurements in diagnosing linear electric circuits.
References
1. Демирчян К.С., Бутырин П.А. Моделирование и машинный расчет электрических цепей. М.: Высшая школа, 1988, 335 с.
2. Кишит Н.В., Герасимова Г.Н., Кац М.А. Диагностика электрических цепей. М.: Энергоатомиздат, 1983, 192 с.
3. Farchy S.L., Gadzheva E.D., Raykovska L.H., Kouyoumdjiev T.G. Nullator-norator approach to analogue circuit diagnosis using general-purpose analysis programmes. — International Journal of Circuit Theory and Applications, 1995, vol. 23, iss. 6, pp. 571—585.
4. Djordjеvic S. Analog circuit diagnosis based on the nullor concept and multiport description of the circuit. Analog Integrated Circuits and Signal Processing.— Springer: published online. 13 February 2018.
5. Кишит Н.В., Петрунько Н.Н. Тестовая диагностика активных электрических цепей на основе коммутационных воздействий. — Электричество, 2014, № 6, c. 49—55.
6. Курганов С.А., Филаретов В.В. Формулы для символьной параметрической диагностики линейных электрических цепей. — Электричество, 2006, № 4, c. 47—60.
7. Горшков К.С., Курганов С.А., Филаретов В.В. Диагностика линейных электрических цепей с косвенной компенсацией подсхем при многократном эксперименте. — Электричество, 2017, № 12, c. 36-42.
8. Бутырин П.А., Васьковская Т.А. Принципы декомпозиции сложных электрических цепей при их диагностике по частям. — Электричество, 2001, № 6, c. 41-48.
9. Филаретов В.В. Синтез оптимальных формул схемных функций электрических цепей. — Электричество, 1995, № 4, c. 36-43.
10. Филаретов В.В. Программа символьного анализа CIRSYM: история создания, структура и функции. — Междуна- род. сб. научн. трудов. «Синтез, анализ и диагностика электронных цепей». — Ульяновск: УлГТУ, 2010, вып. 10, с.158—171.
11. Filaretov V., Gorshkov K. Efficient generation of compact symbolic network functions in a nested rational form. — International Journal of Circuit Theory and Applications: Research articles, May 2020, рр. 1—25.
#
1. Demirchyan K.S., Butyrin P.A. Modelirovaniye i mashinnyy raschet elektricheskikh tsepey (Modeling and machine calculation of electrical circuits). M.: Vysshaya shkola, 1988, 335 p.
2. Kinsht N.V., Gerasimova G.N., Kats M.A. Diagnostika elektricheskikh tsepey (Diagnostics of electrical circuits). M.: Energoatomizdat, 1983, 192 p.
3. Farchy S.L., Gadzheva E.D., Raykovska L.H., Kouyoumdjiev T.G. Nullator-norator approach to analogue circuit diagnosis using general-purpose analysis programmes. — International Journal of Circuit Theory and Applications (Nullator-norator approach to analogue circuit diagnosis using general-purpose analysis programs. – International Journal of Circuit Theory and Applications), 1995, vol. 23, iss. 6, pp. 571–585.
4. Djordjеvic S. Analog circuit diagnosis based on the nullor concept and multiport description of the circuit. Analog Integrated Circuits and Signal Processing.– Springer: published online. 13 February (Analog circuit diagnosis based on the nullor concept and multiport description of the circuit. Analog Integrated Circuits and Signal Processing. – Springer: published online. 13 February), 2018.
5. Kinsht N.V., Petrun’ko N.N. Elektrichestvo – in Russ. (Electricity), 2014, No. 6, pp. 49–55.
6. Kurganov S.A., Filaretov V.V. Elektrichestvo – in Russ. (Electricity), 2006, No. 4, pp. 47–60.
7. Gorshkov K.S., Kurganov S.A., Filaretov V.V. Elektrichestvo – in Russ. (Electricity), 2017, No. 12, pp. 36–42.
8. Butyrin P.A., Vas’kovskaya T.A. Elektrichestvo – in Russ (Electricity), 2001, No. 6, pp. 41–48.
9. Filaretov V.V. Elektrichestvo – in Russ (Electricity), 1995, No. 4, pp. 36–43.
10. Filaretov V.V. Mezhdunarod. Sb. nauchnykh trudov «Sintez, analiz i diagnostika elektronnykh tsepey» — in Russ. (Intern. collection of scientific papers «Synthesis, analysis and diagnosis of electronic circuits»), 2010, iss. 10, pp. 158—171 (Ul’yanovsk State University).
11. Filaretov V., Gorshkov K. Efficient generation of compact symbolic network functions in a nested rational form. — International Journal of Circuit Theory and Applications: Research articles, May 2020, pp. 1–25.
