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Analysis of Electrical Circuits with Variable Load Regime Parameters

Part of the Power Systems Book Series

DOI: 10.1007/978-3-030-35366-7

ISBN: 978-3-030-35365-0

Publisher: Springer International Publishing - Springer Journals

Dec 8, 2019

1 - 10 of 14 Chapters

LitStream

Chapter 1Introduction

Penin, A.

Pages: 1 –26

[The typical structure of power supplyPower supply systems is considered. The equivalent circuits for its base units as active two-polesActivetwo-pole, passive, and active two-portsActivetwo-port allow introducing the regime parameters by traditional methods in the relative view at change of...
LitStream

Operating Regimes of an Active Two-Pole. Display of Projective Geometry

Penin, A.

Pages: 29 –66

[For the interpretation of changes or “kinematics” of circuit regimes, some information about affine and projective geometry is provided by examples of simple circuits. It allows revealing the invariant properties of circuits, that is, such expressions, which turn out identical to all the regime...
LitStream

Generalized Equivalent Circuit of an Active Two-Pole with a Variable Element

Penin, A.

Pages: 67 –107

[The generalized equivalent circuitsGeneralized equivalent circuit, which develop the known theorems, are formulated. It appears that the load straight lineLoadstraight lines at various values of a changeable element (resistor) of an active two-poleActivetwo-pole passes into a bunch of these...
LitStream

Two-Port Circuits

Penin, A.

Pages: 109 –153

[The correlations between various regime parameters for different parts or sections of a circuit are considered. The transfer from one section to another is interpreted as an affine (for voltage and current) transformation and as a projective (for conductance) transformation. As it was shown in...
LitStream

Invariant Energy Characteristics for Limited Single-Valued Working Area of Two-Ports

Penin, A.

Pages: 155 –192

[Besides of fractionally linear expressions of two-port circuits, there are quadratic fractional ones for some parameters as cubic curves. A load powerLoadpower and efficiencyEfficiency via the load resistanceLoadresistances are examples of these curves. Cross-ratios are carried out in a limited...
LitStream

Operating Regimes of an Active Multi-port

Penin, A.

Pages: 195 –234

[Some features of electric circuits, which contain few loads, are shown. There is a mutual influence of these loads; additional characteristic regimesCharacteristicregimes besides familiar regimes, as the short circuitShort circuit and open circuitOpen circuit, take place. Therefore, these...
LitStream

Active Multi-ports with Variable Elements

Penin, A.

Pages: 235 –276

[The recalculation of load currents is considered. The regime changesRegime change are defined by variable elements of a circuit. Generalized equivalent circuitsGeneralized equivalent circuit are introduced for active multi-portsActivemulti-port by the results of Chap. 3. The results of Chap. 6...
LitStream

Passive Multi-port Circuits

Penin, A.

Pages: 277 –318

[The invariantInvariant properties of input–output of circuits, established in Chap.4, are generalized for multi-ports. A mutual influence of loadsInfluence of loadsof passivePassive multi-port multi-ports is investigated by affine and projective transformationsProjectivetransformation too. The...
LitStream

Hierarchy of Projective Coordinate Systems

Penin, A.

Pages: 319 –357

[The projective coordinates for calculation of load currents, presented in Chaps. 6–8, are analyzed. These coordinates, as a reference triangleReference triangle, are introduced with the aid of characteristic regimeCharacteristicregimes points. Usually, the working values of load currents are...
LitStream

Regulation of Load Voltages

Penin, A.

Pages: 361 –384

[The restriction of load powerLoadpower, two-valued regulation characteristicRegulationcharacteristic, and interference of several loads are observed in power supplyPower supply systems with limited power of voltage sourceVoltagesource. In this chapter, the definition of regime in an...

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