## Electromagnetic Modelling of Power Electronic ConvertersThe era of the personal computer has, without doubt, permanently altered our life style in a myriad of ways. The "brain" of the personal computer is the microprocessor (together with RAM and ROM) which makes the decisions needed for the computer to perform in the desired manner. The microprocessor continues to evolve as increasingly complex tasks are required. While not sharing the limelight of the microprocessor, the "heart" of the personal computer, namely the power supply, is equally important since without the necessary source of power the microprocessor would be a useless piece of silicon. The power supply of twenty years ago was much different than its modem day equivalent. At the dawn of the personal computer era in the late 1970s, de power was obtained from a simple diode bridge. However, the need for smooth, regulated DC at low voltage required at the same time both a bulky input transformer and a large dc side ftlter. Those computer fans present at the birth of this industry can remember the large boxes housing our Altair, Cromemco and Northstar computers which was made necessary largely because of the huge power supply. It is not well appreciated but certainly true that the huge sucess of the Apple II computer in those days was due, at least in part, to the relatively slim proftle of the machine. This sleek appearance was largely due to the adoption of the then new and unproven switched mode power supply. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

CIRCUIT ANALYSIS FROM AN ELECTROMAGNETIC VIEWPOINT DESIGN OPTIMISATION BEYOND THE SCOPE OF CONVENTIONAL C... | 1 |

12 SKIN AND PROXIMITY EFFECTS | 2 |

13 INDUCTOR COILS | 5 |

14 TRANSFORMERS | 10 |

15 ELECTROMAGNETICS IN POWER CONVERTERS | 12 |

POYNTING VECTOR A METHOD TO DESCRIBE THE MECHANISM OF POWER CONDITIONING | 15 |

22 THE ENERGY FLUX VIEWPOINT OF POWER ELECTRONICS | 17 |

23 PROPAGATION OF A PULSE ALONG A TRANSMISSION LINE | 18 |

53 INTERNAL IMPEDANCE | 72 |

54 PREDICTIONS AND EXPERIMENTAL MEASUREMENTS | 78 |

55 REFERENCES | 81 |

SKIN AND PROXIMITY EFFECT LOSSES IN TRANSFORMER AND INDUCTOR WINDINGS | 83 |

62 EDDY LOSSES IN ROUND AND STRIP CONDUCTORS | 85 |

63 EDDY LOSSES IN STRANDED WIRES | 88 |

64 CURRENT DISTRIBUTION ALONG THE WIDTH OF STRIP WINDINGS | 90 |

65 MANIFESTATION OF EDDY CURRENTS IN WINDING SECTIONS | 93 |

24 POYNTING VECTOR IN POWER LINES | 19 |

25 FLOW OF ENERGY AROUND OBSTACLES | 23 |

26 POYNTING VECTOR IN CAPACITORS | 24 |

27 POYNTTNG VECTOR IN INDUCTORS | 26 |

28 POYNTING VECTOR IN TRANSFORMERS | 28 |

29 POYNTTNG VECTOR IN ELECTRIC MACHINES | 31 |

210 REFERENCES | 32 |

POWER CONDITIONING IN ELECTRONIC CIRCUITS | 35 |

32 ENERGY FLOW IN A SWITCHMODE CIRCUIT EXAMPLE | 36 |

33 POWER TRANSFER EFFICIENCY | 38 |

34 MODELLING OF CONNECTION STRUCTURES IN CIRCUITS | 41 |

35 CIRCUIT REPRESENTATION OF CONNECTION STRUCTURES | 42 |

36 INTERACTION BETWEEN CONNECTION STRUCTURES AND ELECTRONTC SWITCHES | 44 |

37 A CONNECTION STRUCTURE AS A GENERAL PURPOSE POWER CONDITIONING ELEMENT | 46 |

38 REFERENCES | 48 |

EDDY CURRENTS IN CONDUCTORS | 49 |

42 APPLICATION OF MAXWELLS EQUATIONS | 50 |

43 NUMERICAL METHODS49 | 53 |

44 ANALYTICAL METHODS | 55 |

45 ONE DIMENSIONAL SOLUTIONS | 56 |

46 REFERENCES | 64 |

STRUCTURAL IMPEDANCE OF POWER CONNECTIONS ANALYSIS AND METHOD OF CALCULATION | 67 |

52 EXTERNAL IMPEDANCE | 70 |

66 REFERENCES | 96 |

MAGNETIC FIELD INSIDE WINDINGS A KEY PARAMETER IN THE PROXIMITY EFFECT EQUATION | 97 |

72 METHOD OF IMAGES | 98 |

73 METHOD OF IMAGES TO CALCULATE THE STRAY MAGNETIC FIELD IN WINDINGS | 100 |

74 MAGNETIC FIELD OF A RECTANGULAR UNIFORM CURRENT DISTRIBUTION | 103 |

75 MAGNETIC FIELD OF CIRCULAR CURRENT FILAMENTS | 105 |

76 REFERENCES | 106 |

EXPERIMENTAL MEASUREMENT OF EDDY CURRENT LOSSES IN TRANSFORMER WINDINGS AND INDUCTOR COILS | 107 |

82 MEASUREMENTS ON SINGLE LAYER COILS AND COMPARISON OF ALGORITHM WITH BUTTERWORTHS EQUATIONS | 108 |

83 MEASUREMENT OF MULTILAYER COILS AND TRANSFORMER WINDINGS | 113 |

84 REFERENCES | 124 |

EVALUATION AND CONCLUSIONS | 125 |

92 STRUCTURAL IMPEDANCE OF POWER CONNECTIONS | 126 |

94 EXPERIMENTAL PROCEDURE TO MEASURE AC RESISTANCE | 127 |

95 REFERENCES | 128 |

EXPERIMENT FOR DETERMINING THE AC RESISTANCE OF INDUCTOR COILS AND TRANSFORMER WINDINGS | 129 |

COMPUTER PROGRAM PIP Parasitic Impedance Program | 145 |

COMPUTER PROGRAM TID Transformer and Inductor Design | 151 |

COMPUTER PROGRAM CID Coil Inductor Design | 161 |

LIST OF SYMBOLS | 169 |

171 | |

### Other editions - View all

Electromagnetic Modelling of Power Electronic Converters Jan Abraham Ferreira No preview available - 2010 |

### Common terms and phrases

ac resistance airgap algorithm alternating current analytical calculated capacitance capacitor chapter characteristic impedance circuit analysis conductive material conductive plane connection structure copper cosh cross section current and voltage current components current density current distribution current filaments cylindrical dielectric dimensional eddy current eddy current losses electric field electromagnetic ELECTROMAGNETIC MODELLING energy flux equations experimental Ferreira field energy flow Frequency Hz high frequency Image inductor internal impedance leakage inductance length litz wire magnetic components magnetic core magnetic field intensity magnetic material Maxwell's equations method Number of turns optimisation parasitic impedances permeability power conditioning power converters power dissipation power electronic Poynting vector predictions PRIMARY WINDING proximity effect losses Rac/Rdc(meas Rac/Rdc(pred ratio rectangular conductors residual resistance round conductor secondary single layer coil sinh skin and proximity skin effect solid wire solution strands stray strip conductor structural impedances surface switch switchmode transmission line waveforms width Winding configuration winding section winding window Wire diameter