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Clayton R. Paul - One of the best experts on this subject based on the ideXlab platform.
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Inductance: Loop and Partial
2009Co-Authors: Clayton R. PaulAbstract:Preface. 1 Introduction. 1.1 Historical Background. 1.2 Fundamental Concepts of Lumped Circuits. 1.3 Outline of the Book. 1.4 "Loop" Inductance vs. "Partial" Inductance. 2 Magnetic Fields of DC Currents (Steady Flow of Charge). 2.1 Magnetic Field Vectors and Properties of Materials. 2.2 Gauss's Law for the Magnetic Field and the Surface Integral. 2.3 The Biot-Savart Law. 2.4 Ampere's Law and the Line Integral. 2.5 Vector Magnetic Potential. 2.5.1 Leibnitz's Rule: Differentiate Before You Integrate. 2.6 Determining the Inductance of a Current Loop:. A Preliminary Discussion. 2.7 Energy Stored in the Magnetic Field. 2.8 The Method of Images. 2.9 Steady (DC) Currents Must Form Closed Loops. 3 Fields of Time-Varying Currents (Accelerated Charge). 3.1 Faraday's Fundamental Law of Induction. 3.2 Ampere's Law and Displacement Current. 3.3 Waves, Wavelength, Time Delay, and Electrical Dimensions. 3.4 How Can Results Derived Using Static (DC) Voltages and Currents be Used in Problems Where the Voltages and Currents are Varying with Time?. 3.5 Vector Magnetic Potential for Time-Varying Currents. 3.6 Conservation of Energy and Poynting's Theorem. 3.7 Inductance of a Conducting Loop. 4 The Concept of "Loop" Inductance. 4.1 Self Inductance of a Current Loop from Faraday's Law of Induction. 4.1.1 Rectangular Loop. 4.1.2 Circular Loop. 4.1.3 Coaxial Cable. 4.2 The Concept of Flux Linkages for Multiturn Loops. 4.2.1 Solenoid. 4.2.2 Toroid. 4.3 Loop Inductance Using the Vector Magnetic Potential. 4.3.1 Rectangular Loop. 4.3.2 Circular Loop. 4.4 Neumann Integral for Self and Mutual Inductances Between Current Loops. 4.4.1 Mutual Inductance Between Two Circular Loops. 4.4.2 Self Inductance of the Rectangular Loop. 4.4.3 Self Inductance of the Circular Loop. 4.5 Internal Inductance vs. External Inductance. 4.6 Use of Filamentary Currents and Current Redistribution Due to the Proximity Effect. 4.6.1 Two-Wire Transmission Line. 4.6.2 One Wire Above a Ground Plane. 4.7 Energy Storage Method for Computing Loop Inductance. 4.7.1 Internal Inductance of a Wire. 4.7.2 Two-Wire Transmission Line. 4.7.3 Coaxial Cable. 4.8 Loop Inductance Matrix for Coupled Current Loops. 4.8.1 Dot Convention. 4.8.2 Multiconductor Transmission Lines. 4.9 Loop Inductances of Printed Circuit Board Lands. 4.10 Summary of Methods for Computing Loop Inductance. 4.10.1 Mutual Inductance Between Two Rectangular Loops. 5 The Concept of "Partial" Inductance. 5.1 General Meaning of Partial Inductance. 5.2 Physical Meaning of Partial Inductance. 5.3 Self Partial Inductance of Wires. 5.4 Mutual Partial Inductance Between Parallel Wires. 5.5 Mutual Partial Inductance Between Parallel Wires that are Offset. 5.6 Mutual Partial Inductance Between Wires at an Angle to Each Other. 5.7 Numerical Values of Partial Inductances and Significance of Internal Inductance. 5.8 Constructing Lumped Equivalent Circuits with Partial Inductances. 6 Partial Inductances of Conductors of Rectangular Cross Section. 6.1 Formulation for the Computation of the Partial Inductances of PCB Lands. 6.2 Self Partial Inductance of PCB Lands. 6.3 Mutual Partial Inductance Between PCB Lands. 6.4 Concept of Geometric Mean Distance. 6.4.1 Geometrical Mean Distance Between a Shape and Itself and the Self Partial Inductance of a Shape. 6.4.2 Geometrical Mean Distance and Mutual Partial Inductance Between Two Shapes. 6.5 Computing the High-Frequency Partial Inductances of Lands and Numerical Methods. 7 "Loop" Inductance vs. "Partial" Inductance. 7.1 Loop Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional Inductors. 7.2 To Compute "Loop" Inductance, the "Return Path" for the Current Must be Determined. 7.3 Generally, There is no Unique Return Path for all Frequencies, Thereby Complicating the Calculation of a "Loop" Inductance. 7.4 Computing the "Ground Bounce" and "Power Rail Collapse" of a Digital Power Distribution System Using "Loop" Inductances. 7.5 Where Should the "Loop" Inductance of the Closed Current Path be Placed When Developing a Lumped-Circuit Model of a Signal or Power Delivery Path?. 7.6 How Can a Lumped-Circuit Model of a Complicated System of a Large Number of Tightly Coupled Current Loops be Constructed Using "Loop" Inductance?. 7.7 Modeling Vias on PCBs. 7.8 Modeling Pins in Connectors. 7.9 Net Self Inductance of Wires in Parallel and in Series. 7.10 Computation of Loop Inductances for Various Loop Shapes. 7.11 Final Example: Use of Loop and Partial Inductance to Solve a Problem. Appendix A: Fundamental Concepts of Vectors. A.1 Vectors and Coordinate Systems. A.2 Line Integral. A.3 Surface Integral. A.4 Divergence. A.4.1 Divergence Theorem. A.5 Curl. A.5.1 Stokes's Theorem. A.6 Gradient of a Scalar Field. A.7 Important Vector Identities. A.8 Cylindrical Coordinate System. A.9 Spherical Coordinate System. Table of Identities, Derivatives, and Integrals Used in this Book. References and Further Readings. Index .
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Inductance: Loop and Partial - The Concept of Loop Inductance
Inductance, 1Co-Authors: Clayton R. PaulAbstract:This chapter contains sections titled: Self Inductance of a Current Loop from Faraday's Law of Induction The Concept of Flux Linkages for Multiturn Loops Loop Inductance Using the Vector Magnetic Potential Neumann Integral for Self and Mutual Inductances between Current Loops Internal Inductance vs. External Inductance Use of Filamentary Currents and Current Redistribution Due to the Proximity Effect Energy Storage Method for Computing Loop Inductance Loop Inductance Matrix for Coupled Current Loops Loop Inductances of Printed Circuit Board Lands Summary of Methods for Computing Loop Inductance
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Inductance: Loop and Partial - The Concept of Partial Inductance
Inductance, 1Co-Authors: Clayton R. PaulAbstract:This chapter contains sections titled: General Meaning of Partial Inductance Physical Meaning of Partial Inductance Self Partial Inductance of Wires Mutual Partial Inductance between Parallel Wires Mutual Partial Inductance between Parallel Wires that are Offset Mutual Partial Inductance between Wires at an Angle to Each Other Numerical Values of Partial Inductances and Significance of Internal Inductance Constructing Lumped Equivalent Circuits with Partial Inductances
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Inductance: Loop and Partial - Partial Inductances of Conductors of Rectangular Cross Section
Inductance, 1Co-Authors: Clayton R. PaulAbstract:This chapter contains sections titled: Formulation for the Computation of the Partial Inductances of PCB Lands Self Partial Inductance of PCB Lands Mutual Partial Inductance between PCB Lands Concept of Geometric Mean Distance Computing the High-Frequency Partial Inductances of Lands and Numerical Methods
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Inductance: Loop and Partial - Loop Inductance vs. Partial Inductance
Inductance, 1Co-Authors: Clayton R. PaulAbstract:This chapter contains sections titled: Loop Inductance vs. Partial Inductance: Intentional Inductors vs. Nonintentional Inductors To ComputeLoop Inductance, the Return Path for the Current Must be Determined Generally, There is no Unique Return Path for all Frequencies, Thereby Complicating the Calculation of aLoop Inductance Computing theGround Bounce andPower Rail Collapse of a Digital Power Distribution System UsingLoop Inductances Where Should theLoop Inductance of the Closed Current Path be Placed When Developing a Lumped-Circuit Model of a Signal or Power Delivery Path? How Can a Lumped-Circuit Model of a Complicated System of a Large Number of Tightly Coupled Current Loops be Constructed UsingLoop Inductance? Modeling Vias on PCBs Modeling Pins in Connectors Net Self Inductance of Wires in Parallel and in Series Computation of Loop Inductances for Various Loop Shapes Final Example: Use of Loop and Partial Inductance to Solve a Problem
Shaofeng Jia - One of the best experts on this subject based on the ideXlab platform.
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principles of stator dc winding excited vernier reluctance machines
IEEE Transactions on Energy Conversion, 2016Co-Authors: Shaofeng JiaAbstract:Stator dc winding excited Vernier reluctance machines (DC-VRMs) are one novel kind of Vernier reluctance machines, and have doubly salient structure and additional dc field windings in their stators to generate the exciting field. These machines advantages include a wide speed range, due to the flexible exciting field by the dc winding and a robust rotor structure without permanent magnets or windings. In this paper, the nature and principles of DC-VRMs are first illustrated theoretically with winding function and harmonic theories. First, by considering the permeance modulation function, the equations and harmonics of the exciting field are obtained. Next, based on these results, the stator/rotor pole combinations and armature winding configuration methods are proposed. Additionally, the expressions for the Self-Inductance, mutual inductance, the back electromotive force (back-EMF) of armature windings are summarized with the winding function theories. Also, the effects of permeance, field, and armature winding harmonics on inductance harmonics are analyzed. The equation for electromagnetic torque is also given, and the design parameters that may influence the machine's torque are provided. Finally, the inductances and torque in synchronous reference frame are analyzed. All the analytical results are validated by finite element analyses and some experimental results are also given to validate the theoretical analysis.
Ding Jian - One of the best experts on this subject based on the ideXlab platform.
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The Self-Inductance of Circular Circuit with Rectangular Cross-Section
Journal of Gansu Lianhe University, 2010Co-Authors: Ding JianAbstract:For circular circuit with rectangular cross-section,using magnetic energy method,the expression of Self-Inductance in the form of integral is derived.Under the condition of thin wire,by means of function fit method,the expression of Self-Inductance in the form of primary function is obtained.
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The exact expression of Self-Inductance for a tightly wound cylindrical solenoid of finite length
College Physics, 2009Co-Authors: Ding JianAbstract:For a tightly wound cylindrical solenoid of finite length,the expression of Self-Inductance in the integral form is derived by means of the Bessel functance expansion.The two expressions of Self-Inductance in the series form are obtained by using the direct integration method.Some simple analysis and comparison on the two expressions are presented.
Jiang Jun-qin - One of the best experts on this subject based on the ideXlab platform.
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Self-Inductance for Tightly Wound Solenoid of the Frustum of a Cone
Journal of Guangdong University of Education, 2011Co-Authors: Jiang Jun-qinAbstract:The Self-Inductance for the tightly solenoid of the frustum of a cone is numerically investigated.The h and α dependences of the Self-Inductance are plotted and discussed.We have given some concrete numerical values in order that we may use better.
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The Exact Calculation of Self-Inductance for a Tightly Wound Cylindrical Solenoid with Finite-length
Journal of Guangdong Education Institute, 2010Co-Authors: Jiang Jun-qinAbstract:The Self-Inductance of a tightly wound cylindrical solenoid with finite-length was investigated by using the direct integration method.The Self-Inductance is exactly expressed as the elliptic integrals,the result is plotted and discussed.
Bo Zhou - One of the best experts on this subject based on the ideXlab platform.
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An Integrated Motor-Drive and Battery-charging System Utilizing Doubly Salient Electro-magnet Machine with Split Field Windings.
2018 IEEE International Magnetics Conference (INTERMAG), 2018Co-Authors: Taojing Zhang, Jia-dan Wei, Peng Liu, Wenjie Tao, Bo ZhouAbstract:In this paper, an integrated motor-drive and battery-charging(IMB) system for doubly salient electro-magnet machine(DSEM) is proposed to be implemented onboard for electric vehicles(EV). The field windings distribution of a 12/10 DSEM is arranged for the constant Self-Inductance, and adopted as the inductance of the front-end DC/DC converter to eliminate the traditional filter inductance and excitation loss of the machine in the driving mode. The armature windings could be exploited as the filter inductances in the charging mode. The simulations and experiments are accomplished to verify the feasibility of the independent field current control method for the proposed system.
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IECON - Rotor angular position estimation for doubly salient electro-magnetic machine based on Self-Inductance rectangle
IECON 2017 - 43rd Annual Conference of the IEEE Industrial Electronics Society, 2017Co-Authors: Xingwei Zhou, Bo ZhouAbstract:This paper proposes a novel rotor angular position estimation method based on Self-Inductance rectangle for doubly salient electro-magnetic motor (DSEM). It starts with injecting three test voltage pulses A+C-, B+A- and C+B-with the same width in order. At the end of each test pulse, the response currents i ac , i ba and i cb are sampled and detected to identify the two-phase series inductances L ac , L ba and L cb , respectively. Thus the rotor sector is estimated by comparing L ac , L ba and L cb . In further, with finding the geometrical proportional relation in Self-Inductance rectangle which is composed of two-phase series inductances, the expression of rotor angular position is achieved. Compared with the traditional rotor position estimation method, rotor angular position rather than rotor sector is estimated under the proposed method, higher-accurate commutation with no lag is achieved, so DSEM sensorless startup performance is desired to be improved. Finally, the experiments on a 12/8-pole DSEM validate the correctness and flexibility of the proposed rotor position estimation method.
