Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Suboptimal control

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

Abstrakty

EN

In the circuits of electrical signals belonging to the L1-impulses space or periodic signals space, occurring there real distribution of electrical currents does not meet the principle of minimum energy losses [1, 2]. The solution to this problem is to introduce the control system as current-dependent voltage sources vector, entered into a meshes set of a complex RLC network. It has been shown that the control is energy-neutral (optimal control) [2]. For energy-optimal controlling, to obtain the control operator, the inversion of R(s) operator is required. It is the matrix operator and the dispersive operator (it depends on frequency). Inversion of such operators is inconvenient because it is algorithmically complicated. To avoid this, the operator R(s) is replaced by the R’ operator which is a matrix, but nondispersive one (does not depend on s). Such control is called the suboptimal control.

Słowa kluczowe

EN

L1-impulses; linear circuits; principle of minimum energy losses; operators; suboptimal control

• Wydawca: Wydawnictwo PAK
• Czasopismo: Measurement Automation Monitoring
• Rocznik: 2016
• Tom: Vol. 62, No. 4
• Strony: 125--128
• Opis fizyczny: Bibliogr. poz. 12, rys., schem., wzory

Twórcy

autor

Żaba S.

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

autor

Siwczyński M.

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

autor

Drwal A.

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

Bibliografia

• [1] Siwczyński M., Drwal A., Żaba S.: Minimally - energy distribution of electrical current signals in the linear L1 - impulses space. Przegląd Elektrotechniczny, R90 (2014), nr 12, 47-51 (in Polish).
• [2] Siwczyński M., Drwal A., Żaba S.: Energy-optimal current distribution in a complex linear electrical network with pulse or periodic voltage and current signals. Optimal control. Bull. of the Polish Acad. of Science, Techn. Scie. (2015) (accepted for print).
• [3] Desoer C. A.: The maximum power transfer theorem for n-ports. IEEE Trans., Vol. CT-20 (1979), 228-230.
• [4] Rohrer R. A.: Optimal matching: A new approach to the matching problem for real invariant one port networks. IEEE Trans., Vol. CT-15 (1968), 118-124.
• [5] Siwczyński M., Drwal A., Żaba S.: Minimum-energetic sinusoidal signals distribution in electrical circuits. Wiadomości Elektrotechniczne, 9 (2014), pp. 22-25 (in Polish).
• [6] Czarnecki L. S.: Discussion on "a uniform concept of reactive power of nonsinusoidal currents in a time-domain". Przegląd Elektrotechniczny, R85 (2009), nr 6, 164-166 (in Polish).
• [7] Rens A. P.: Validation of popular nonsinusoidal power theories for the analysis and management of modern power systems. North-West University, Potchefstroom Campus, 2006.
• [8] Walczak J., Pasko M.: The Minimization of losses of active power and the symmetrization of power flow in the nonsinusoidal systems. Electrical Power Quality and Utilisation, 5 (1999), nr. 1, 55-59 (in Polish).
• [9] Czarnecki L. S.: Currents’ Physical Components (CPC) concept: a fundamental for power theory. Przegląd Elektrotechniczny, R84 (2008), nr 6, 28-37.
• [10] Siwczyński M., Jaraczewski M.: The L1 –impulse method as an alternative to the Fourier series in the power theory of continuous time systems. Bull. of the Polish Acad. of Science, Techn. Scie., 57 (2009), n. 1, 79-85.
• [11] Siwczyński M.: The distribution: active current, scattered current, reactive current, the time domain approach - the mathematical theory. Przegląd Elektrotechniczny, R87 (2011), nr 3, 254-257 (in Polish).
• [12] Siwczyński M.: Energy theory of electrical circuits. Wyd. Instytutu Gospodarki Surowcami Mineralnymi i Energią PAN, Kraków 2003 (in Polish).

Uwagi

PL

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