By A. Penin
This publication introduces electrical circuits with variable so much and voltage regulators. It permits to outline invariant relationships for varied parameters of regime and circuit sections and to end up the strategies characterizing those circuits. Generalized identical circuits are brought. Projective geometry is used for the translation of adjustments of working regime parameters. Expressions of normalized regime parameters and their adjustments 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 so much with restricted energy of voltage resource is taken into account. The publication offers the basics of electrical circuits and develops circuit theorems. it's worthy to engineers, researchers and graduate scholars who're attracted to the fundamental electrical circuit thought and the law and tracking of energy offer systems.
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Additional info for Analysis of Electrical Circuits with Variable Load Regime Parameters: Projective Geometry Method
If regimes differ, we have the set of twelve different values. On the other hand, the normalization by the maximum load currents I1M ¼ y0N ðV0 À V1 Þ, I2M ¼ y0N ðV0 À V2 Þ leads to the reciprocal components I2 =I1M ; I1 =I2M . These components raise a number of normalized values. Therefore, the shown examples of the formal normalization do not allow comparing the regimes of different systems. 1 Volt Characteristics of an Active Two-Port Let us consider the features of an active two-port with two load conductivities YL1 ; YL2 in Fig.
In this case, the power transfer ratio KP or efﬁciency g is a nonlinear function. As it is known, the system of equation of this circuit has the view I0 I1 ! ! ÀY10 V0 Á ; ÀY11 V1 Y00 ¼ Y10 ð1:27Þ where Y parameters Y00 ¼ y10 þ y0 ; Y11 ¼ y10 þ y1 ; Y10 ¼ y10 : The matrix determinant DY ¼ Y00 Y11 À ðY10 Þ2 : The characteristic admittance at the input and output or load YIN:C rﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ Y00 ¼ DY ; Y11 YL:C rﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃﬃ Y11 ¼ DY : Y00 Next, we use the transmission a parameters. Then, V0, I0 + − V1, I1 y10 y0 y1 YL YIN Fig.
The characteristic regime parameters ILSC , V0 determine the different scales for the axes of coordinates. We want to represent a running regime parameter of the load by a certain quantity, which would have an identical value for various actual regime parameters such as voltage and current. To do this, we use a geometrical interpretation of change or “kinematics” of a circuit regime. 1), a similar expression in geometry deﬁnes an afﬁne transformation, conformity or mapping of © Springer International Publishing Switzerland 2015 A.