Application of L1-impulse method to the optimization problems in power theory

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

Abstrakty

EN

In optimization power theory we can distinguish the three approaches: -the theory of instant power values -the theory of average power values (integral power) -the theory of instant.average power value. The theory of instant power uses the instant power and signals values i.e. p(t) = u(t)i(t) whereas the theory of average power uses the energy or average power terms i.e. P = (u(t), i(t)) (the dot the product of signals). This inequality causes numerous optimization problems, among which the norm of the current minimization is the most important one. The mathematic methods used in these theories derive from the theorems of signals and instant power modulation. This article deals only with the average power theory which uses the L1 impulses as an alternative to the Fourier series method. This technique is efficient when the energy is transmitted with highly distorted periodic signals.

Słowa kluczowe

EN

periodically time-varying networks; operational calculus; stability; synthesis; optimization

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2010
• Tom: Vol. 58, nr 1
• Strony: 197--207
• Opis fizyczny: Bibliogr. 7 poz., rys.

Twórcy

autor

Siwczyński M.

autor

Jaraczewski M.

• Faculty of Electrical and Computer Engineering, Cracow University of Technology, 24 Warszawska St., 31-155 Cracow, Poland,

Bibliografia

• [1] M. Pasko and J.Walczak, “The optimization of energetic quality properties of electrical systems with periodic sinusoidal waveforms”, Electrical engineering 150, 7–14 (1996), (in Polish).
• [2] M. Siwczyński and M. Jaraczewski, “Electric circuit analysis by means of optimization criteria. Part one – simple circuits”, Bull. Pol. Ac.: Tech. 52 (4), 359–367 (2004).
• [3] M. Siwczyński and M. Jaraczewski, “Electric circuit analysis by means of optimization criteria. Part II – complex circuits”, Bull. Pol. Ac.: Tech. 54 (1), 107–123 (2006).
• [4] M. Siwczyński, “The optimization methods in power theory of electrical networks”, The electrical engeneering series 183, CD-ROM (1995), (in Polish).
• [5] M. Siwczyński, Power Engineering Circuit Theory, Mineral and Energy Economy Research Institute, Kraków, 2003, (in Polish).
• [6] M. Siwczyński and M. Jaraczewski, “The L1-impulse method as an alternative to the Fourier series in the power theory of continues time systems”, Bull. Pol. Ac.: Tech. 57 (1), 79–85 (2009).
• [7] M. Siwczyński and M. Jaraczewski, “The Poincare theorem in linear circuit synthesis”, Bull. Pol. Ac.: Tech. 55 (1), 49–58 (2007).