By A. Penin
This booklet introduces electrical circuits with variable so much and voltage regulators. It permits to outline invariant relationships for numerous parameters of regime and circuit sections and to turn out the ideas characterizing those circuits. The booklet offers the basics of electrical circuits and develops circuit theorems. Generalized an identical circuits are brought. Projective geometry is used for the translation of alterations of working regime parameters. Expressions of normalized regime parameters and their alterations are awarded. handy formulation for the calculation of currents are given. Parallel voltage resources and the cascade connection of multi-port networks are defined. The two-value voltage law features of a lot with constrained energy of voltage resource is taken into account.
This moment version is prolonged and comprises extra chapters on circuits with non-linear legislation curves, circuits with non-linear load features, ideas of power-source and power-load parts with two-valued features, quasi-resonant voltage converters with self-limitation of present in addition to the similarity of features of converters and digital devices.
This booklet comes in handy to engineers, researchers and graduate scholars who're attracted to the fundamental electrical circuit concept and the rules and tracking of energy provide platforms.
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A convenient model for I-V characteristic of a solar cell generator as an active two–pole with self–limitation of current. World Acad. Sci. Eng. Technol. 3(4), 905-909 (2009). org/publications/9926. Accessed 30Nov 2014 16. : Determination of deviation from the maximum power regime of a photovoltaic module. Moldavian J. Phys. Sci. 9(2), 191–198 (2010). html. Accessed 30 Nov 2014 17. : A quasi-resonance voltage converter with improved parameters. Elektrichestvo. 2, 58–64 (2009) 18. : Power–source element and its properties.
It turns out the two real roots, VL ¼ 0; VL ¼ V0 , which deﬁne the hyperbolic transformation of hyperbolic (Lobachevski) geometry. Physically, the ﬁxed point means such a regime when a variable VL does not depend on the initial or subsequent value RL . It is evident for SC; OC regimes. If the roots of equation coincide, the ﬁxed point deﬁnes the parabolic transformation and, respectively, parabolic (Euclidean) geometry. If the roots are imaginary, geometry is elliptic (Riemannian). In geometry, it is established that these three kinds of transformations (projective, afﬁne, and Euclidean) exhaust possible variants of group transformations, which underlie the deﬁnition of the metrics of a straight line.
In turn, values IL2 ; VL2 correspond to the open-circuit regime, IL2 ¼ 0; VL2 ¼ V0 ; values IL3 ; VL3 correspond to the short circuit regime, IL3 ¼ ILSC ; VL3 ¼ 0. The pairs of the respective points IL2 ; VL2 and IL3 ; VL3 are the base or extreme points; the points IL1 ; VL1 are the dividing points. 6) takes the form IL1 À 0 V0 À VL1 ¼ ; 0 À V0 0 À ILSC IL1 À 0 V0 À VL1 : ¼ V0 À 0 ILSC À 0 ð2:8Þ The afﬁne ratio n1 can be represented by the formal view n1 ¼ ðIL1 0 ILSC Þ ¼ ðVL1 V0 0Þ; where ðIL1 0 ILSC Þ ¼ 0 À IL1 IL1 ¼ ; 0 À ILSC ILSC ð2:9Þ 2 Operating Regimes of an Active Two-Pole … 32 Fig.