ELECTRICAL POWER TRANSFORMER AND INDUCTORDESIGN PRINCIPLES, CALCULATION, THEORY, TUTORIALS,
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Magnetic components (transformers and inductors) are necessary parts of all power supply
circuits.Transformeris a passive device which transforms alternating (AC) electric energy from one circuit into another through electromagnetic induction. It normally consists of a ferromagnetic core and two or more coils (windings). A changing current in the primary winding creates an alternating magnetic field in the core. The core multiplies this field and couples the most of the flux through the secondary windings. This in turn induces alternating voltage (electromotive force, or emf) in each of the secondary coil according to Faraday's law.An SMPS power transformeris used to change amplitude of high-frequency pulses by the turns ratio and to provide isolation between circuits. Note that it can't transfer a DC component of the pulse voltage: in a steady state mode net volt-seconds across each winding should be zero, otherwise the core will saturate. DC output voltage is obtained only by using rectifiers. Note that an average voltage across a real coil's terminals can be non-zero due to non-zero coil's resistance. This DC offset can be used for lossless sensing of an average current across an inductor or a transformer winding: in an RC network parallel to the coil the voltage across the capacitor is proportional to the coil's average current. For better thermal stability the wire can be made of low TCR material, such as a copper alloy.In general, ideal SMPS transformers need to transfer all energy instantaneously from one winding to another while storing no or little energy in the process (although some topologies do need some energy stored in magnetizing inductance for proper operation). Conversely, a power inductoris used in SMPS as an energy storage device. It accumulates energy in the magnetic field as current flows through it and then transfers all or portion of this energy into another circuit during the alternate part of the switching cycle. In power supplies inductors are also used for filtering high frequency ripple (in which case they are often called chokes). |
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For "current-driven" coils: Bmax=L×I×108/N×Ac, where L - inductance (in henrys), I - peak current in amps. Below you will find magnetics theory, design information, tools and other free downloads. Note that most textbook's design procedures are written for natural convection cooling. For applications with forced airflow or conduction cooling these procedures may result in over-designed coils because of an overestimated temperature rise. |
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FREE INDUCTOR
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UNITRODE SEMINAR MAGNETICS HANDBOOK
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MAGNETISM PRINCIPLES,
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Transformer turns and wire calculator (includes skin effect) SMPS PFC inductor calculation tool Transformer calculation for various switching regulator topologies Software to design electrical inductors using powder cores Output inductor calculation tool Current transformer design software Ferrite magnetic calculation tool (includes skin and proximity effects) Core loss calculator for non-sinusoidal waveforms |
Introduction and Basic Magnetics (Design for Switching Power Supplies) Magnetic Core Characteristics Windings data and skin effect Power supply transformer design Inductor and Flyback Transformer design Magnetic Core Properties Eddy Current Losses in transformer windings Equivalent electrical circuit The Effect of Leakage inductance Coupled filter inductors How to design a power supply transformer with fractional turns |
Magnetic field unit conversion and equations - online calculator and table The following three guides are instructor's slides: see their terms of use Basic transformer theory SMPS transformer design procedure and equations Inductor design procedure Planar power transformers basics and design guide Electrical transformer: physical principles and how it works |
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