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Switched Mode Power Supply: SMPS Topologies & Formulas

Warm hint: The words in this article are about 500 words and the reading time is about 3 minutes.

Article Core
Switched Mode Power SupplyPurposeTopologies & Calculation Formulas
English nameSwitch Mode Power Supply (SMPS)CategoryElectronic Power Supply
FunctionConverting Power & Supplying PowerFeaturesEfficiency Higher, Smaller, Lighter

Catalogue1. BUCK4. SEPIC7. 2-SWITCH FORWARD10. PUSH PULL
2. BOOST5. FLYBACK8. ACTIVE CLAMP FORWARD11. FULL BRIDGE
3. BUCK-BOOST6. FORWARD9. HALF BRIDGE12. PHASE SHIFT ZVT


1. BUCK

FIG.1_20180626.jpg

BUCK

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

BOOST

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

BUCK-BOOST

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

SEPIC

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

FLYBACK

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

FORWARD

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

2-SWITCH FORWARD

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

ACTIVE CLAMP FORWARD

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

HALF BRIDGE

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

PUSH PULL

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

11. FULL BRIDGE

FIG.11_20180626.jpg

FULL BRIDGE

The input-output voltage relation:

EQU.51_20180626.jpg

Current through the transistor switch:

EQU.52_20180626.jpg

Voltage in the transistor switch:

EQU.53_20180626.jpg

Current through the diode:

EQU.54_20180626.jpg

Inverse voltage in the diode:

EQU.55_20180626.jpg

12. PHASE SHIFT ZVT

FIG.12_20180626.jpg

PHASE SHIFT ZVT

The input-output voltage relation:

EQU.56_20180626.jpg

Current through the transistor switch:

EQU.57_20180626.jpg

Voltage in the transistor switch:

EQU.58_20180626.jpg

Current through the diode:

EQU.59_20180626.jpg

Inverse voltage in the diode:

EQU.60_20180626.jpg

This power overview presentation introduces three popular power converter circuits: the linear regulator, the buck converter and the boost converter.


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