EE464-Static Power Conversion-II

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# EE-464 STATIC POWER CONVERSION-II

# Magnetic Design for Power Electronics

## Ozan Keysan

## [keysan.me](http://keysan.me)

### Office: C-113 <span class="meta">•</span> Tel: 210 7586

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# Review of Magnetic Circuits
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- ### [Magnetic Materials](http://keysan.me/presentations/ee568_intro.html#190)

- ### [EE564-Transformer Design](http://keysan.me/presentations/ee568_inductor_transformer_design.html)

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# Transformer Design

## References:

- ### [Mohan, Design of Magnetic Components](https://www.dropbox.com/s/ata52e9jhk1jv8v/Ch30.pdf?dl=1)

- ### [Erickson, Inductor Design](https://altor1.narod.ru/Books_Docs/Fundamentals_of_Power_Electronics.pdf), (Ch12 Slides)

- ### [Erickson, Transformer Design](https://www.dropbox.com/s/vzxore2801nr8yo/Ch15slides.pdf?dl=1)

- ### [Wurth Transformer Design](https://www.dropbox.com/s/s4odvveholh7efp/wurth-cookbook-transformer-design.pdf?dl=1)

- ### [Hurley, Magnetic Design](https://www.dropbox.com/s/0oug98lp0116fwn/05_Hurley_Magnetics%20Design.pdf?dl=1)

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# Inductor Design
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- ## Magnetic Design: Calculating B, H, magnetic energy
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- ## Electrical Design: Choosing number of turns, copper size, wire type, current density
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- ## Parameter Estimation: Inductance, Leakage, Resistance
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- ## Thermal: Losses, Efficiency
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# Typical Core

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# Core Types

- ## U, I Core

- ## E Core

- ## Toroid Core

- ## Pot Core

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# Core Materials

- ## Ferrites

- ## Laminated Electrical Sheets

- ## Kool Mu Powder

- ## Metglass

- ## Powdered Iron

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## Core Bobbin

### [Karkas Çeşitleri](http://www.kaptanplastik.com/urunler)

### [Coil Winding](https://www.youtube.com/watch?v=2ttzm1itctA), [toroidal winding](https://www.youtube.com/watch?v=82PpCzM2CUg)
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## E-Core

### [Nüve Çeşitleri](https://www.direnc.net/feritler)

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## Pot Core

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# Inductor Fundamentals

## Review of Magnetic Circuits

- ### [EE361-Inductors](http://keysan.me/presentations/ee361_magnetic_energy.html)

- ### [EE361-Practical Transformers](http://keysan.me/presentations/ee361_practical_transformers.html)

- ### [Magnetic Materials](http://keysan.me/presentations/ee568_intro.html#190)

- ### [EE564-Transformer Design](http://keysan.me/presentations/ee568_inductor_transformer_design.html)

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# Winding Design
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- ## Winding area, copper area
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- ## Fill Factor (\\(k_{cu}\\))
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- ### \\(k_{cu} = 0.3\\) for Litz wire

- ### \\(k_{cu} = 0.6\\) for round wire

- ### \\(k_{cu} = 0.7-0.8\\)  for rectangular wire
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# Core Loss

### Typical core loss for a power ferrite

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# Core Loss

### Steinmetz's Equation
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# \\(P\_{fe} = K\_{fe} f^{\alpha} (\Delta B)^{\beta} A\_c l\_c\\)

### Usually the constants are given in the datasheet

### Alternatively core loss graphs can be available

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# Skin Effect

### For 100 C copper resistivity:
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## \\(\delta = \dfrac{7.5}{\sqrt{f}}\\) cm

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# Skin Depth

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# Proximity Effect

### Current loss induced by adjacent coils
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### Coil-1 carries a high frequency current, Coil-2 open circuited.

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### Increased copper loss

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# Leakage Flux
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# Leakage Flux

## MMF Distribution

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# Interleaving Windings
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## Can help to reduce proximity effect and leakage

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# Interleaving Windings
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## Worst Case

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# Interleaving Windings
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## Better Case

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# Interleaving Windings
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## Best Case

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# How to use an RLC Meter?

- ### [Hioki, IM3533](https://www.hioki.com/file/cmw/hdCatalog/4549/pdf/?action=browser&log=1&lang=en)

- ### [Hioki how to use LCR meters?](https://www.youtube.com/@Hioki/search?query=lcr)

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# How to use an RLC Meter?

## [Equivalent Circuit Models](https://www.hioki.com/euro-en/learning/usage/lcr-meters_7.html)
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<img src="./images/ee464/rlc_series_parallel.png" alt="Drawing" style="width: 400px;">
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## [Equivalent Circuit Models](https://www.hioki.com/en/products/listUse/?category=10 )

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# How to use an RLC Meter?

## Primary and Secondary Inductance Measurement

### [Measure Primary Inductance with Osciloscope](https://www.youtube.com/watch?v=WiboSO5cJW4)

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# How to use an RLC Meter?

## Leakage Inductance Measurement

<img src="./images/ee464/leakage_inductance.jpeg" alt="Drawing" style="width: 800px;">
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### [Mutual Inductance Measurement](https://www.youtube.com/watch?v=P0-iGnAW7FM): \\(L_m = (L_a - L_o)/4\\)

<img src="https://i.stack.imgur.com/CaQwP.png" alt="Drawing" style="width: 400px;">
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### [Mutual Inductance Measurement](https://www.youtube.com/watch?v=P0-iGnAW7FM): \\(L_m = (L_a - L_o)/4\\)

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# How to use an RLC Meter?

## [Turns Ratio Measurement](https://www.youtube.com/watch?v=3giTLF-e_HA)

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# Application Notes:

- ## [Coil Craft Application Notes](https://www.coilcraft.com/appnotes.cfm)

- ## [Selecting the Best Inductor](https://www.coilcraft.com/pdfs/Doc469_selecting_inductors.pdf)

- ## [Structured Design off Switching Power Transformers](https://www.coilcraft.com/pdfs/doc627_Power_transformer_design.pdf)

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# Application Notes:

- ### [OnSemi-Transformer Design Consideration for Flyback](https://www.onsemi.com/pub/Collateral/AN-4140.pdf)

- ### [Transformers and Inductors for Power Electronics: Theory, Design and Applications](https://onlinelibrary.wiley.com/doi/book/10.1002/9781118544648)

- ### [Power Transformer Design](https://www.ti.com/lit/ml/slup126/slup126.pdf)

- ### [Flyback Transformer Design](https://www.ti.com/lit/ml/slup127/slup127.pdf )

- ### [Fuji, Flyback Transformer Design](https://www.fujielectric.com/products/semiconductor/model/power_supply/technical/box/pdf/Fly-Back_transformer_Design_Rev_1_0_E.pdf)

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## You can download this presentation from: [keysan.me/ee464](http://keysan.me/ee464)