Park to Clarke Angle Transform
Coordinate transformation from the dq0 coordinate system to αβ0.
Description
The Park to Clarke Angle Transform block converts longitudinal, transverse and zero components in a rotating coordinate system to , and zero components in a stationary coordinate system. For balanced systems, the zero components are zero.
You can set the unit to align the axis of the three-phase system with the or axes of the rotating coordinate system at time . The figures show the direction of the magnetic axes of the stator windings in the three-phase coordinate system , the stationary coordinate system and in the rotating coordinate system , where:
-
The axis and the axis are initially aligned.
-
Axis and axis are initially aligned.
In both cases the angle , where
-
- the angle between the axes and for alignment with the axis or the angle between the axes and for alignment with the axis ;
-
- rotation speed of the coordinate system - ;
-
- time in seconds since the initial alignment.
Equations
The Park to Clarke Angle Transform block implements the transformation to align the phase of to the axis as
where
-
and are the longitudinal and transverse components of the two-coordinate system in the rotating coordinate system;
-
- zero component;
-
and - components of the two-phase system along the axes and in the stationary coordinate system.
To align the phase to the axis, the block implements a transformation using the following equation:
Ports
Input
dq0 - a vector that contains values in the dq0 coordinate system
vector
Longitudinal, transverse and zero components in a rotating coordinate system .
Data types: Float32, Float64.
θabc - rotation angle, rad
scalar
Angular position of the rotating coordinate system. The value of this parameter is equal to the polar distance from the phase vector in the coordinate system to the initially aligned axis of the coordinate system .
Data types: Float32, Float64.
Parameters
Phase-a axis alignment - axis along which the dq0 coordinate system will be aligned
Q-axis (by default) | D-axis
Align the phase of the coordinate system to the axis or to the axis of the rotating coordinate system .