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SVPWM

Space Vector Pulse Width Modulation

 

Description

Connections

Parameters

Modelica Standard Library

Description

The SVPWM component

For a three-phase system, 8 space vectors are available according to the following switching patterns:

• 

0 [0,0,0] length 0

• 

1 [1,0,0] 000°

• 

2 [1,1,0] 060°

• 

3 [0,1,0] 120°

• 

4 [0,1,1] 180°

• 

5 [0,0,1] 240°

• 

6 [1,0,1] 300°

• 

7 [1,1,1] length 0

Vector 1..6 form a hexagon, vector 0 and 7 are of length 0.

First, the space vector is limited, and the sector of the hexagon is determined where the input space vector u is located; then the angle of the space vector within this sector 0φ<60° is calculated.

The input space vector is averaged by u&equals;taua&plus;tbub&plus;t00, where ua is the space vector at the left border of the sector and ub is the space vector at the right border of the sector. If necessary, a zero length vector is applied additionally.

The relative time spans for averaging over one switching period are determined by the following equations:

• 

Real part: ucosφ&equals;ubtbcos60°&plus;uata1

• 

Imag. part: usinφ&equals;ubtbsin60°

• 

ta+tb+t0=1

To obtain the positive fire signal, the switching time spans are distributed symmetrically: t04&plus;ta2&plus;tb2&plus;t02&plus;tb2&plus;ta2&plus;t04

The switching pattern of the negative fire signal is just the inverse of the positive fire signal.

Connections

Name

Description

Modelica ID

u

Reference space phasor

u

firep

positive fire signal

fire_p

firen

negative fire signal

fire_n

Parameters

General Parameters

Name

Default

Units

Description

Modelica ID

f

 

Hz

Switching frequency

f

T0

0

s

First sample time instant

startTime

umax

 

 

Maximum length of space vector = half diagonal of hexagon

uMax

Constant Parameters

Name

Default

Units

Description

Modelica ID

samplePeriod

1f

s

Sample period of component

samplePeriod

Modelica Standard Library

The component described in this topic is from the Modelica Standard Library. To view the original documentation, which includes author and copyright information, click here.

See Also

DC AC

DC AC Control

Electrical Library

Power Converters