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, $i_{1}$
Chopper Class	Quadrants	$i_{2} < 0$	$i_{2} = 0$	$i_{2} > 0$	$i_{2} < 0$	$i_{2} = 0$	$i_{2} > 0$
A	1^st	$v_{2} = v_{1}$	$v_{2} = D u t y C y c l e \cdot v_{1}$		$i_{1} = i_{2}$	$i_{1} = D u t y C y c l e \cdot i_{2}$
B	2^nd	$v_{2} = (1 - D u t y C y c l e) \cdot v_{1}$		$v_{2} = 0$	$i_{1} = (1 - D u t y C y c l e) \cdot i_{2}$		$i_{1} = 0$
C	1^st and 2^nd	$v_{2} = D u t y C y c l e \cdot v_{1}$			$i_{1} = D u t y C y c l e \cdot i_{2}$
D	1^st and 4^th	$v_{2} = v_{1}$	$v_{2} = (2 \cdot D u t y C y c l e - 1) \cdot v_{1}$		$i_{1} = i_{2}$	$i_{1} = (2 \cdot D u t y C y c l e - 1) \cdot i_{2}$
E	Four	$v_{2} = (2 \cdot D u t y C y c l e - 1) \cdot v_{1}$			$i_{1} = (2 \cdot D u t y C y c l e - 1) \cdot i_{2}$

Limitations and Assumptions

Input voltage, v₁ is positive.
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

Average-Value Chopper Control

Control a four-quadrant chopper. The Control subsystem implements a simple PI-based control algorithm for controlling the output current. An average-value Chopper model is used to speed up the simulation. The simulation uses both positive and negative references. The total simulation time (t) is 1 s. At t = 0.5 s, the polarity of the load DC source E changes.

Open Model

Ports

Conserving

expand all

DutyCycle — Duty Cycle
electrical | scalar

Electrical conserving port associated with the duty cycle.

Data Types: double

1+ — Positive DC voltage 1
electrical | scalar

Electrical conserving port associated with the positive terminal of the first DC voltage.

Data Types: double

1- — Negative DC voltage 1
electrical | scalar

Electrical conserving port associated with the negative terminal of the first DC voltage.

Data Types: double

2+ — Positive DC voltage 2
electrical | scalar

Electrical conserving port associated with the positive terminal of the second DC voltage.

Data Types: double

2- — Negative DC voltage 2
electrical | scalar

Electrical conserving port associated with the negative terminal of the second DC voltage.

Data Types: double

Parameters

expand all

Chopper type — Chopper class
`Class A - first quadrant` (default) | `Class B - second quadrant` | `Class C - first and second quadrant` | `Class D - first and fourth quadrant` | `Class E - four quadrant`

Chopper class.

Converter efficiency — Converter efficiency parameterization
`Constant` (default) | `Tabulated`

Specify the parameterization of the converter efficiency. If you select Tabulated, conduction losses will depend on the provided output current.

Efficiency (%) — Converter efficiency
100 (default) | scalar

Efficiency of the converter, in percentage.

Dependencies

To enable this parameter, set Converter efficiency to Constant.

Output current vector — Vector of output current
[0, 2, 5] `A` (default) | row vector of at least two elements

Vector of output currents.

Dependencies

To enable this parameter, set Converter efficiency to Tabulated.

Efficiency vector (%) — Vector of efficiencies
[90, 95, 98] (default) | row vector of at least two elements

Vector of efficiencies for each output current specified in Output current vector, in percentage. This parameter must have the same size of Output current vector.

Dependencies

To enable this parameter, set Converter efficiency to Tabulated.

References

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

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Version History

Introduced in R2018b

Average-Value Chopper

Description

Equations

Limitations and Assumptions

Examples

Average-Value Chopper Control

Ports

Conserving

DutyCycle — Duty Cycle electrical | scalar

1+ — Positive DC voltage 1 electrical | scalar

1- — Negative DC voltage 1 electrical | scalar

2+ — Positive DC voltage 2 electrical | scalar

2- — Negative DC voltage 2 electrical | scalar

Parameters

Chopper type — Chopper class Class A - first quadrant (default) | Class B - second quadrant | Class C - first and second quadrant | Class D - first and fourth quadrant | Class E - four quadrant

Converter efficiency — Converter efficiency parameterization Constant (default) | Tabulated

Efficiency (%) — Converter efficiency 100 (default) | scalar

Dependencies

Output current vector — Vector of output current [0, 2, 5] A (default) | row vector of at least two elements

Dependencies

Efficiency vector (%) — Vector of efficiencies [90, 95, 98] (default) | row vector of at least two elements

Dependencies

References

Extended Capabilities

C/C++ Code Generation Generate C and C++ code using Simulink® Coder™.

Version History

See Also

DutyCycle — Duty Cycle
electrical | scalar

1+ — Positive DC voltage 1
electrical | scalar

1- — Negative DC voltage 1
electrical | scalar

2+ — Positive DC voltage 2
electrical | scalar

2- — Negative DC voltage 2
electrical | scalar

Chopper type — Chopper class
`Class A - first quadrant` (default) | `Class B - second quadrant` | `Class C - first and second quadrant` | `Class D - first and fourth quadrant` | `Class E - four quadrant`

Converter efficiency — Converter efficiency parameterization
`Constant` (default) | `Tabulated`

Efficiency (%) — Converter efficiency
100 (default) | scalar

Output current vector — Vector of output current
[0, 2, 5] `A` (default) | row vector of at least two elements

Efficiency vector (%) — Vector of efficiencies
[90, 95, 98] (default) | row vector of at least two elements

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.