The Poincare theorem in linear circuit synthesis

• Autorzy: Siwczyński M. , Jaraczewski M.
• Języki publikacji: EN

Abstrakty

EN

The paper deals wit h linear circuits synthesis wit h periodic parameters. It was proved that the time-varying voltages and currents of inner branches of such circuits can be calculated using linear recursive equations wit h periodic coefficients if signals on port are given. The stability theorem of periodic solution was formulated. Hereby described the synthesis problems appear when compensation of power supply systems is considered.

Słowa kluczowe

EN

periodically time-varying networks; synthesis; optimization; stability

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2007
• Tom: Vol. 55, nr 1
• Strony: 49--58
• Opis fizyczny: Bibliogr. 6 poz., rys., tab.

Twórcy

autor

Siwczyński M.

autor

Jaraczewski M.

• Institute of Theoretical Electrotechnics and Automatics, Cracow University of Technology, 24 Warszawska St., 31-155 Kraków, Poland,

Bibliografia

• [1] M. Siwczyński and M. Jaraczewski, "Electric circuit analysis by means of optimization criteria. Part one - simple circuits", Bull. Pol. Ac. Tech. 52 (4), 359-368 (2004).
• [2] M. Siwczyński, Power Engineering Circuit Theory, Inst. Gosp. Sur. Min. Ener. PAN, Kraków, 2003, (in Polish).
• [3] J. Kudrewicz, Nonlinear Electric Circuits, WNT, Warsaw 1996, (in Polish).
• [4] A.A. Samarskz and KS. Nikolazev, Methods for the Solution of Netlike Equations, Science, Moscow, 1978, (in Russian).
• [5] M. Siwczyński, "The optimization methods in power theory of electrical networks", The Electrical Engineering Series 183, Kraków, 1995, (in Polish).
• [6] M. Siwczyński and M. Jaraczewski, "Electric circuit analysis by means of optimization criteria. Part II – complex circuits", Bull. Pol. Ac. Tech. 54 (1), 107-124 (2006).