# Analysis of Electrical Circuits with Variable Load Regime by A. Penin

By A. Penin

This publication introduces electrical circuits with variable lots and voltage regulators. It permits to outline invariant relationships for numerous parameters of regime and circuit sections and to turn out the innovations characterizing those circuits. The ebook provides the basics of electrical circuits and develops circuit theorems. Generalized similar circuits are brought. Projective geometry is used for the translation of adjustments of working regime parameters. Expressions of normalized regime parameters and their alterations are offered. handy formulation for the calculation of currents are given. Parallel voltage assets and the cascade connection of multi-port networks are defined. The two-value voltage legislation features of rather a lot with constrained strength of voltage resource is taken into account.

This moment version is prolonged and includes extra chapters on circuits with non-linear rules curves, circuits with non-linear load features, ideas of power-source and power-load components 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 ebook turns out to be useful to engineers, researchers and graduate scholars who're drawn to the elemental electrical circuit conception and the legislation and tracking of energy provide structures.

By A. Penin

This publication introduces electrical circuits with variable lots and voltage regulators. It permits to outline invariant relationships for numerous parameters of regime and circuit sections and to turn out the innovations characterizing those circuits. The ebook provides the basics of electrical circuits and develops circuit theorems. Generalized similar circuits are brought. Projective geometry is used for the translation of adjustments of working regime parameters. Expressions of normalized regime parameters and their alterations are offered. handy formulation for the calculation of currents are given. Parallel voltage assets and the cascade connection of multi-port networks are defined. The two-value voltage legislation features of rather a lot with constrained strength of voltage resource is taken into account.

This moment version is prolonged and includes extra chapters on circuits with non-linear rules curves, circuits with non-linear load features, ideas of power-source and power-load components 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 ebook turns out to be useful to engineers, researchers and graduate scholars who're drawn to the elemental electrical circuit conception and the legislation and tracking of energy provide structures.

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Additional resources for Analysis of Electrical Circuits with Variable Load Regime Parameters: Projective Geometry Method

Sample text

First, it is possible to introduce the value V L ¼ VL =V0 . Then VL ¼ 1 1 þ ðrÞ2 ð1:38Þ D: This expression is not a pure relative because it contains the value ðrÞ2 . Let D be changed, D1 ! D2 , and a subsequent value D2 ¼ D1 þ D21 . 38), depends on the parameter ðrÞ2 . Let us consider the ratio of the initial and subsequent values 2 VL ¼ 1 VL D2 : D1 This determination of regime change does not depend on parameter ðrÞ2 . Second, we may introduce the value ^L ¼ VL ¼ D; V VLM ð1:39Þ where the maximum load voltage is VLM ¼ V0 1 þ ðrÞ2 L V0 Fig.

Eng. Educ. 51(3), 244–260 (2014) 15. : 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.

These values correspond to segment I1 I2 in Fig. 11. 19) to the initial points I11 ; I21 or to the segment, we obtain the subsequent points Fig. 19) has the invariant of two points uðI22 ; I12 Þ ¼ I22 m21 I21 I21 ¼ ¼ ¼ m21 ¼ uðI21 ; I11 Þ: I12 m21 I11 I11 ð2:20Þ This invariant m21 is the invariable “length” of segment I1 I2 . Therefore, we obtain the segment end I21 ¼ m21 I11 : These two examined cases correspond to the known similarity property. And so, the consideration of regime changes as geometrical transformations gives a methodical foundation for the valid introduction of regime changes for more complex cases.