Characteristic polynomials of positive and minimal-phase electrical circuits

• Autorzy: Kaczorek, T.

Warianty tytułu

PL

Wielomiany charakterystyczne dodatnich i minimalnofazowych obwodów elektrycznych

• Języki publikacji: EN

Abstrakty

EN

Characteristic polynomials of positive and minimal-phase electrical circuits are addressed. It is shown that the characteristic polynomials of the electrical circuits are independent of the choice of their reference mesh and of their reference node. Conditions are established under which the positive electrical circuits have real eigenvalues and are minimal-phase linear systems. Sufficient conditions for cancelation of zeros and poles of minimal-phase electrical circuits are given.

PL

W pracy wykazano, że wielomiany charakterystyczne obwodów elektrycznych są niezależne od wyboru oczka odniesienia w metodzie oczkowej i węzła odniesienia w metodzie węzłowej analizy tych obwodów. Podano warunki przy spełnieniu których dodatnie obwody elektryczne mają rzeczywiste wartości własne i są minimalnofazowymi obwodami elektrycznymi. Podano również warunki wystarczające skracania zer i biegunów w minimalnofazowych obwodach elektrycznych. Rozważania zostały zilustrowane przykładami dodatnich i minimalnofazowych obwodów elektrycznych.

Słowa kluczowe

PL

minimalnofazowość; dodatniość; obwód elektryczny; biegun; niezależność wielomianu charakterystycznego

EN

minimal phase; electrical circuit; cancellation; pole; independence of characteristic polynomial

• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2016
• Tom: R. 92, nr 6
• Strony: 79--85
• Opis fizyczny: Bibliogr. 36 poz., rys.

Twórcy

autor

Kaczorek, T.

• Politechnika Białostocka, Wydział Elektryczny, ul. Wiejska 45D, 15-351 Białystok,

Bibliografia

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Uwagi

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

Identyfikatory

DOI

niezależność wielomianu charakterystycznego