# Average-Value Chopper

Average-value chopper

**Libraries:**

Simscape /
Electrical /
Semiconductors & Converters /
Converters

## Description

The Average-Value Chopper block represents a controlled average-value chopper. Use the duty cycle input to convert the electrical energy between the two sides. The figure shows the equivalent circuit for the block.

### Equations

The input current and output voltage depend on the chopper class that you specify.

**Voltage and Current Equations**

Chopper Class | Quadrants | Output Voltage, ${v}_{2}$ | Input Current, ${i}_{1}$ | ||||
---|---|---|---|---|---|---|---|

${i}_{2}<0$ | ${i}_{2}=0$ | ${i}_{2}>0$ | ${i}_{2}<0$ | ${i}_{2}=0$ | ${i}_{2}>0$ | ||

A | 1^{st} | ${v}_{2}={v}_{1}$ | $${v}_{2}=DutyCycle\cdot {v}_{1}$$ | ${i}_{1}={i}_{2}$ | ${i}_{1}=DutyCycle\cdot {i}_{2}$ | ||

B | 2^{nd} | $${v}_{2}=\left(1-DutyCycle\right)\cdot {v}_{1}$$ | ${v}_{2}=0$ | $${i}_{1}=\left(1-DutyCycle\right)\cdot {i}_{2}$$ | ${i}_{1}=0$ | ||

C | 1^{st} and
2^{nd} | $${v}_{2}=DutyCycle\cdot {v}_{1}$$ | ${i}_{1}=DutyCycle\cdot {i}_{2}$ | ||||

D | 1^{st} and
4^{th} | ${v}_{2}={v}_{1}$ | $${v}_{2}=\left(2\cdot DutyCycle-1\right)\cdot {v}_{1}$$ | ${i}_{1}={i}_{2}$ | $${i}_{1}=\left(2\cdot DutyCycle-1\right)\cdot {i}_{2}$$ | ||

E | Four | $${v}_{2}=\left(2\cdot DutyCycle-1\right)\cdot {v}_{1}$$ | $${i}_{1}=\left(2\cdot DutyCycle-1\right)\cdot {i}_{2}$$ |

### Limitations and Assumptions

Input voltage,

*v*is positive._{1}Power losses are neglected.

The Average-Value Chopper block represents an ideal implementation of a controlled average-value chopper with no dynamics, and it is suitable for low fidelity simulations. For higher fidelity models, use the One-Quadrant Chopper, Two-Quadrant Chopper, or Four-Quadrant Chopper blocks.

## Examples

## Ports

### Conserving

## Parameters

## References

[1] Trzynadlowski, A. M.
*Introduction to Modern Power Electronics.* 2nd Ed. Hoboken, NJ:
John Wiley & Sons Inc., 2010.

## Extended Capabilities

## Version History

**Introduced in R2018b**