Kirchhoff’s laws from Tellegen’s Theorem

• Autorzy: Prasad V. C.
• Języki publikacji: EN

Abstrakty

EN

It is well known that Kirchhoff’s voltage (current) law and Tellegen’s theorem (vTi = 0) imply Kirchhoff’s current (voltage) law where v and i refer to the same graph. Careful analysis shows that these statements are not applicable to practical networks unless v and i refer to different networks having the same graph. They are rewritten and proved to take care of this.

Słowa kluczowe

EN

Kirchhoff’s laws; Tellegen’s theorem; circuit analysis; graphs and electrical networks; network theorems

• Wydawca: AGH University of Science and Technology ; Lodz University of Technology
• Czasopismo: Electrical Power Quality and Utilisation. Journal
• Rocznik: 2016
• Tom: Vol. 19, iss. 1
• Strony: 9--14
• Opis fizyczny: Bibliogr. 4 poz., rys., tab.

Twórcy

autor

Prasad V. C.

• Faculty of Engineering, Dayalbagh Educational Institute, Dayalbagh, Agra 282005, India

Bibliografia

• 1. Chua L.O., Desoer C.A., Kuh E.S.: Linear and Nonlinear Circuits. Mc Graw – Hill, New York 1987.
• 2. Penfield P., Spence R., Duinker S.: Tellegen’s Theorem and Electrical Networks. MIT Press, Cambridge MA, 1970.
• 3. Tellegen B.D.H.: A general network theorem with applications. Philips Research Report 1952, Vol. 7, pp. 259-269.
• 4. Willems J.L.: Active Current, Reactive Current, Kirchhoff ’s Laws and Tellegen’s Theorem. Electrical Power Quality and Utilisation Journal 2007, No. 1, pp. 5-8.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę.