L1-impulses method as an alternative method of harmonic components in the power theory of discrete time systems

• Autorzy: Siwczyński M. , Drwal A. , Żaba S.
• Języki publikacji: EN

Abstrakty

EN

The article presents the basic mathematical theory of the operational calculus of the L1-impulses in the discrete time domain. It presents the isomorphism between the rational function set of complex variable and the exponential L1 impulses set of positive and negative time domain. The paper shows how for any factorization of the rational function consisting of casual and noncasual parts can be directly obtained the N – periodic version of the original signal using for the individual components of the L1 impulses N – copy formula. It is done by the distribution of the convolution – the type admitance operator Y of electrical circuit to the two commutative convolution operators and on this basis is obtained the distribution of electrical circuit current to two components: the active current and the reactive current in the discrete time domain using the cyclic convolutions. The distribution of current in the time domain for signals significantly different from the sinusoidal is much more favorable than the distribution in the frequency domain.

Słowa kluczowe

EN

L1-impulses; time-discrete L1 impulses operational method; time domain

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2012
• Tom: Vol. 60, nr 1
• Strony: 111--117
• Opis fizyczny: Bibliogr. 5 poz., rys., tab.

Twórcy

autor

Siwczyński M.

autor

Drwal A.

autor

Żaba S.

• Department of Eletrical and Computer Engineering, Cracow University of Technology, 24 Warszawska St., 31-425 Cracow, Poland,

Bibliografia

• [1] M. Siwczyński and M. Jaraczewski, “The L1-impulse method as an alternative to the Fourier series in the power theory of continuous time systems”, Bull. Pol. Ac.: Tech. 57 (1), 79–85 (2009).
• [2] M. Siwczyński and M. Jaraczewski, “Application of L1-impulse method to the optimization problems in power theory”, Bull. Pol. Ac.: Tech. 58 (1), 197–208 (2010).
• [3] M. Siwczyński, “The distribution: active current, scattered current, reactive current, the time domain approach in single-phase circuits”, Electrotechnical Review 6, 196–201 (2010), (in Polish).
• [4] M. Siwczyński, “The distribution: active current, scattered current, reactive current, in discrete-time domain”, Electrotechnical Review 7, 338–341 2010, (in Polish).
• [5] M. Siwczyński, “The distribution: active current, scattered current, reactive current, asymmetrical current in three-phase circuits – the time domain approach”, Electrotechnical Review 8, 210–213 (2010), (in Polish).