- Tytuł:
- The steady-state impedance operator of a linear periodically time-varying one-port network and its determination
- Autorzy:
- Kłosiński, R.
- Powiązania:
- https://bibliotekanauki.pl/articles/930020.pdf
- Data publikacji:
- 2009
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
układ liniowy
parametr okresowo zmienny
operator cykloparametryczny
identyfikacja
impedancja okresowo zmienna
okresowy stan ustalony
generowanie harmonicznych
periodically time-varying impedance
periodic steady state
linear periodically time-varying system
circular parametric operator
harmonics aliasing
identification - Opis:
- The main subject of the paper is the description and determination of the impedance operator of a linear periodically time-varying (LPTV) one-port network in the steady-state. If the one-port network parameters and the supply vary periodically with the same period, the network reaches a periodic steady state. However, the sinusoidal supply may induce a nonsinusoidal voltage or current. It is impossible to describe such a phenomenon by means of one complex number. A periodically time-varying one-port network working in a steady-state regime can be described with a circular parametric operator. Within the domain of discrete time, such an operator takes the form of a matrix with real-valued entries. The circular parametric operator can be transformed into the frequency domain using a two-dimensional DFT. This description makes it possible to quantitatively assess LPTV system input and output harmonics aliasing. The paper also presents the derivation and the proof of convergence of an iteration scheme for the identification of circular parametric operators. The scheme may be used to determine the impedance of an LPTV one-port network. Some results of computer simulations are shown.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2009, 19, 4; 661-673
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł