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Switched Mode Power Supply: SMPS Topologies & Formulas

The author perfected this article on December 28th

Catalog

I SMPS Topologies & Formulas

1. Buck

2. Boost

3. Buck-Boost

4. Sepic

5. Flyback

6. Forward

7. 2-Switch Forward

8. Active Clamp Forward

9. Half Bridge

10. Push Pull

II Book Recommendations




Introduction to Power Topologies


I SMPS Topologies & Formulas

1. Buck

FIG.1_20180626.jpg

The input-output voltage relation:

EQU.1_20180626.jpg

Current through the transistor switch:

EQU.2_20180626.jpg

Voltage in the transistor switch:

EQU.3_20180626.jpg

Current through the diode:

EQU.4_20180626.jpg

Inverse voltage in the diode:

EQU.5_20180626.jpg

2. Boost

FIG.2_20180626.jpg

The input-output voltage relation:

EQU.6_20180626.jpg

Current through the transistor switch:

EQU.7_20180626.jpg

Voltage in the transistor switch:

EQU.8_20180626.jpg

Current through the diode:

EQU.9_20180626.jpg

Inverse voltage in the diode:

EQU.10_20180626.jpg

3. Buck-Boost

FIG.3_20180626.jpg

The input-output voltage relation:

EQU.11_20180626.jpg

Current through the transistor switch:

EQU.12_20180626.jpg

Voltage in the transistor switch:

EQU.13_20180626.jpg

Current through the diode:

EQU.14_20180626.jpg

Inverse voltage in the diode:

EQU.15_20180626.jpg

4. Sepic

FIG.4_20180626.jpg

The input-output voltage relation:

EQU.16_20180626.jpg

Current through the transistor switch:

EQU.17_20180626.jpg

Voltage in the transistor switch:

EQU.18_20180626.jpg

Current through the diode:

EQU.19_20180626.jpg

Inverse voltage in the diode:

EQU.20_20180626.jpg

5. Flyback

FIG.5_20180626.jpg

The input-output voltage relation:

EQU.21_20180626.jpg

Current through the transistor switch:

EQU.22_20180626.jpg

Voltage in the transistor switch:

EQU.23_20180626.jpg

Current through the diode:

EQU.24_20180626.jpg

Inverse voltage in the diode:

EQU.25_20180626.jpg

6. Forward

FIG.6_20180626.jpg

The input-output voltage relation:

EQU.26_20180626.jpg

Current through the transistor switch:

EQU.27_20180626.jpg

Voltage in the transistor switch:

EQU.28_20180626.jpg

Current through the diode:

EQU.29_20180626.jpg

Inverse voltage in the diode:

EQU.30_20180626.jpg

7. 2-Switch Forward

FIG.7_20180626.jpg

The input-output voltage relation:

EQU.31_20180626.jpg

Current through the transistor switch:

EQU.32_20180626.jpg

Voltage in the transistor switch:

EQU.33_20180626.jpg

Current through the diode:

EQU.34_20180626.jpg

Inverse voltage in the diode:

EQU.35_20180626.jpg

8. Active Clamp Forward

FIG.8_20180626.jpg

The input-output voltage relation:

EQU.36_20180626.jpg

Current through the transistor switch:

EQU.37_20180626.jpg

Voltage in the transistor switch:

EQU.38_20180626.jpg

Current through the diode:

EQU.39_20180626.jpg

Inverse voltage in the diode:

EQU.40_20180626.jpg

9. Half Bridge

FIG.9_20180626.jpg

The input-output voltage relation:

EQU.41_20180626.jpg

Current through the transistor switch:

EQU.42_20180626.jpg

Voltage in the transistor switch:

EQU.43_20180626.jpg

Current through the diode:

EQU.44_20180626.jpg

Inverse voltage in the diode:

EQU.45_20180626.jpg

10. Push Pull

FIG.10_20180626.jpg

The input-output voltage relation:

EQU.46_20180626.jpg

Current through the transistor switch:

EQU.47_20180626.jpg

Voltage in the transistor switch:

EQU.48_20180626.jpg

Current through the diode:

EQU.49_20180626.jpg

Inverse voltage in the diode:

EQU.50_20180626.jpg




II Book Recommendation

1. Switching Power Supply Design and Optimization

The latest techniques for designing state-of-the-art power supplies, including resonant (LLC) converters,The book covers modern topologies and converters and features new information on designing or selecting bandgap references, transformer design using detailed new design charts for proximity effects, Buck efficiency loss teardown diagrams, active reset techniques, topology morphology, and a meticulous AC-DC front-end design procedure.

By Sanjaya Maniktala

2. Switching Power Supplies A - Z, Second Edition

This book is the most comprehensive study available of the theoretical and practical aspects of controlling and measuring Electromagnetic Interference in switching power supplies, including input filter instability considerations.

By Sanjaya Maniktala


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