Spectroscopy

Conference Proceedings

Order Form via web site

This new book from Coxmoor Publishing Company in the UK introduces undergraduate students, bachelors, masters, postgraduates and teachers to aspects of teaching theoretical electrical engineering.

Electrical and Magnetic Circuits draws from the author¹s experience of presenting courses on the subject matter for the last twenty years at the Petersburg State Transport University.

The material is carefully selected for readers who have a basic knowledge while the topics, representing the fundamental base of professional education on electrical engineering, are considered.

The book includes:

- The theory of linear electrical circuits with the lumped parameters in the steady regimes and transients
- common problems of synthesis of linear electrical circuits,
- the theory of electrical linear circuits with distributed parameters,
- the calculation of nonlinear electrical and magnetic circuits,
- test questions and home tasks.

Theoretical material is supplied with a number of home tasks and each one is accompanied by a calculated example. These questions and home tasks allow readers to check their knowledge independently and may be also used by teachers during the practical training. The book size corresponds to a teaching program of three terms.

While Electrical and Magnetic Circuits is primarily a textbook, it will be of interest to professionals working in industry and also researchers and academics.

PREFACE

FOREWORD

1. FUNDAMENTALS OF THEORY OF LINEAR ELECTRICAL CIRCUITS
The electrical circuit and its elements
The scheme of an electrical circuit
Two-pole active elements (power sources)
The passive two-terminal network
Main equations of circuits with lumped parameters
The graph of an electrical circuit
Topological matrixes of a graph
The dual circuits

2. PROPERTIES AND METHODS OF CALCULATION OF LINEAR CIRCUITS OF DIRECT CURRENT
The calculation of simple circuits of a direct current
The calculation of complex circuits by the method of Kirchhoff's equations
The calculation of complex circuits of a direct current by the method of a node potentials (Node-voltage method)
The calculation of complex circuits of a direct current by the method of loop equations (Mesh-current method)
The balance of powers
The principle of superposition
The principle of reciprocity
The theorem of compensation 58
The theorem of an equivalent source
The elementary equivalent transformations of schemes
The transformation of schemes by eliminating nodes
The transformation of schemes by eliminating loops

3. PROPERTIES AND METHODS OF CALCULATING CIRCUITS OF SINUSOIDAL (SINE-WAVE) CURRENT
A sinusoidal current
The steady regime in a circuit with a series connection of R, L and C
The steady regime in a circuit with a parallel connection of R, L and C
An active power, a wattles power and an apparent power in the circuit of a sinusoidal current
The instantaneous power
The equivalent parameters of a complex circuit
The dependencies between the resistance and the conductance

4. FUNDAMENTALS OF COMPLEX (SYMBOLIC) METHOD OF CALCULATING CIRCUITS OF SINUSOIDAL CURRENT 93
The calculation of simple circuits of a sinusoidal current
The topographical diagram 96
The equations of a circuit state in a complex form
The main properties and transforming circuits of a sinusoidal current

5. INDUCTIVELY COUPLED CIRCUITS 103
The EMF of self-induction and mutual induction
The mutual inductance at the series connection
The mutual inductance at the parallel connection
The calculation of complex inductively coupled circuits
Transformers with linear characteristics

6. THREE-PHASE CIRCUITS
Multiphase circuits and systems
The star connection
The "delta" connection
The decomposition of asymmetrical three-phase systems by symmetric components
The using of the method of symmetric components to calculate three-phase circuits
Rotating magnetic field
The principle of acting asynchronous and synchronous motors

7. LINEAR CIRCUITS OF NON-SINE-WAVE CURRENT
Fourier's series
The calculation of currents in a linear circuit at the operating of periodic non-sine-wave EMF or voltages
The dependency of the form of a current curve on the parameters of circuits at a non-sine wave voltage
The effective values of periodic non-sine wave currents, voltages and EMFs
The active power of periodic non-sine-wave voltages and currents
The features of behaviour of upper harmonics in three-phase circuits
The beat of oscillations
The modulation of oscillations

8. LINEAR AND CIRCULAR CHARTS
The principles of constructing linear and circular charts
The charts at transferring energy to the load with a constant power factor
The charts at transferring energy to a load with a constant wattless conductance
The chart of a two-port network

9. RESONANCE PHENOMENA IN ELECTRICAL CIRCUITS AND FREQUENCY CHARACTERISTICS
The series oscillatory loop. The voltage resonance
The frequency characteristics of a series R-L-C loop
The parallel oscillatory loop. The current resonance
The frequency characteristics of a parallel R-L-C loop
The dual circuits
TWO-PORT NETWORKS
The basic equations of a two-port network
The equivalent circuits of a two-port network
The experimental definition of two-port network parameters
The active two-port network
The differentiating and integrating circuits
The chain circuits

11. CALCULATION OF TRANSIENTS IN LINEAR CIRCUITS WITH LUMPED PARAMETERS BY CLASSICAL METHOD
The fundamentals of a classical method. The laws of commutation
The transients in circuit with series connected R and L (loops of order I)
The transients in circuits with series connected R and C
The transients in circuits with series connected R, L and C (loops of order II)
The discharge of the capacitance through the circuit series connected R and L
The switching of a circuit R, L, C to the constant voltage
The calculation of transients in circuits with mutual induction
On the calculation of the transients in complex electrical circuitsŠThe method of the state variables

12. CALCULATION OF TRANSIENTS IN LINEAR CIRCUITS WITH THE LUMPED PARAMETERS BY THE OPERATING METHOD
Laplace¹s direct transformation
Kirchhoff¹s laws in the operating form
Laplace¹s reverse transformation
The calculation of transients by the operating method in elementary cases

13. SPECTRAL REPRESENTATION OF APERIODIC FUNCTIONS. CALCULATION OF TRANSIENRS BY THE METHOD OF FREQUENT CHARACTERISTICS
Fourier transformation
Frequent characteristics
The calculation of transients by the frequent method

14. CALCULATION OF TRANSIENRS IN LINEAR CIRCUITS WHEN AN EMF OF ANY FORM ACTS
The method of variation of arbitrary constants
Duhamel¹s integral
The transitive current, when a pulse EMF acts

15. CALCULATION FEATURES OF TRANSIENRS IN CIRCUITS WITH CAPACITIVE LOOPS AND INDUCTIVE CUTSETS

Konstantin K. Kim is the author of some 250 publications and 100 patents and is a specialist in theory of electrical engineering and electrodynamics of continuums.

16. SYNTENSIS OF LINEAR ELECTRICAL CIRCUITS WITH LUMPED PARAMETERS
The properties of input functions of passive electrical circuits (two-port networks)
The presentation of input functions of two-port networks as simple fractions (Foster¹s method)
The realization of input functions of a two-port network with real and imaginary roots of the denominator (Foster¹s method)
The realization of input functions of a two-port network, having only imaginary roots of the denominator
The realization of input function, having complex roots of the denominator.

17. ELECTRICAL CIRCUITS WITH DISTRIBUTED PARAMETERS (THE STEADY REGIME)
Electrical circuits with distributed parameters
The equation of a line with distributed parameters
The solution of equations of an uniform line (the steady sine wave regime)
Running waves
Characteristics of a uniform line. Conditions for an undistoring line
An uniform line at various working regimes
Working regimes of a loss-free line

18. TRANSIENTS IN CIRCUITS WITH DISTRIBUTED PARAMETERS
Transients in an uniform undistoring line (the classical method of calculation)
Transients in an uniform undistoring line (the operating method of calculation)
Refraction and reflection of waves in the position of joint of two uniform lines
Reflection of waves from the end of a line
Switching on an uniform line
The case when there is reactive impedance in the position of joint of two uniform lines
The case when there active resistance in the position of joint of two uniform lines

19. NONLINEAR CIRCUITS OF THE DIRECT CURRENT
Nonlinear elements and their characteristics
Current-voltage characteristic of some nonlinear elements
The calculation of simple circuits with passive nonlinear elements
The calculation of simple nonlinear circuits of a direct current by the iterative method

20. LINEAR AND NONLINEAR MAGNETIC CIRCUITS OF THE DIRECT CURRENT
The connection between the magnetic field and the electrical current. Bio-Savar-Laplac¹s law. Ampere¹s circuital law
The laws and parameters of magnetic circuits
The characteristics of magnetizing ferromagnetics
The calculation of nonlinear magnetic circuits
About the calculation of a permanent magnet

21. NONLINEAR ELECTRICAL AND MAGNETIC CIRCUITS AT PERIODIC PROCESSES
Features of periodic processes in nonlinear circuits
The method of equivalent sinusoids
Losses in the ferromagnetic core at periodic changing the magnetic flux
The equation and the equivalent circuit of the coil with a ferromagnetic core
Complex reluctance
Ferroresonance at series connection of the coil with a ferromagnetic core and the capacitor
Ferroresonance at parallel connection of the coil with a ferromagnetic core and the capacitor
Controlled inductive elements. The ferromagnetic amplifier of power

22. OSCILLATIONS AND CALCULATION OF TRANSIENTS IN NONLINEAR CIRCUITS
The theory of stability of regimes in nonlinear circuits
Autooscillation circuits
General conceptions
Theory of active oscillators with an external feedback
Active oscillators with an internal feedback
Relaxation oscillations

23. CALCULATION OF TRANSIENTS IN NONLINEAR CIRCUITS
The graphic method of calculating method transients
The method of step-by-step intervals (Eiler¹s method)
The method of calculating transients in a nonlinear circuit, based on conditional linearization of the circuit equation
The method of piecewise-linear approximation

APPENDIX 1 - THE HOMETASK "THE CALCULATION OF A CIRCUIT OF A DIRECT CURRENT"

APPENDIX 2 - THE HOMETASK "THE CALCULATION OF A CIRCUIT OF A SINE-WAVE CURRENT BY THE COMPLEX METHOD" 4

APPENDIX 3 - THE HOMETASK "THE CALCULATION OF A THREE-PHASE CIRCUIT"

APPENDIX 4 ­ "THE CALCULATION OF A CIRCUIT OF A NON-SINE-WAVE CURRENT"

APPENDIX 5 - THE HOMETASK «THE CALCULATION OF TRANSIENTS IN A LINEAR ELECTRICAL CIRCUIT»
A.5.1. The classical method
A.5.2. The operating method
A.5.3. The method of state variables

APPENDIX 6 - THE HOMETASK "THE CALCULATION OF THE FREQUENCY CHARACTERISTICS OFELECTRICAL CIRCUIT AT RESONANCE"

APPENDIX 7 - THE HOMETASK "THE CALCULATION OF TRANSIENTS IN LINES WITH DISTRIBUTED PARAMETERS"

APPENDIX 8 - THE HOMETASK "THE CALCULATION OF A NONLINEAR MAGNETIC CIRCUIT"

APPENDIX 9 - THE HOMETASK "THE CALCULATION OF TRANSIENTS IN THE NONLINEAR ELECTRICAL CIRCUIT"
A.9.1. The hometask "The calculation of transient in the circuit, containing a nonlinear resistance"
A.9.2. The hometask "The calculation of transient in the circuit, containing a nonlinear inductance"
A.9.3. The hometask "The calculation of transient in the circuit, containing a nonlinear capacitance"

APPENDIX 10 - THE QUESTIONNAIRE
A.10.1. The main conceptions. The laws of electrical circuits
A.10.2. The properties and methods of calculating the linear circuits of a direct current
A.10.3. The properties and methods of calculation of circuits of a sine-wave current
A.10.4. The fundamentals of the complex method of calculating circuits of a sine-wave current
A.10.5. The inductively coupled circuits
A.10.6. The three-phase circuits
A.10.7. The linear electrical circuits of a non-sine-wave current
A.10.8. The resonance phenomena in electrical circuits and the frequency characteristics
A.10.9. The two-port networks
A.10.10. The transients in linear electrical circuits
A.10.11. The elements of synthesis of linear circuits with the lumped parameters
A.10.12. The circuits with the distributed parameters in the steady regimes
A.10.13. The transients in circuits with the distributed parameters
A.10.14. The nonlinear electrical and magnetic circuits
A.10.15. The autooscillations in nonlinear electrical circuits
A.10.16. The transients in nonlinear electrical circuits
The Answers

REFERENCES

INDEX

Order Form via web site