Inverse Clarke Transform
Implementαβtoabctransformation
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Motor Control Blockset / Controls / Math Transforms
Description
TheInverse Clarke Transformblock computes the Inverse Clarke transformation of balanced, two-phase orthogonal components in the stationaryαβreference frame. It outputs the balanced, three-phase components in the stationaryabcreference frame.
The block accepts theα-βaxis components as inputs and outputs the corresponding three-phase signals, where the phase-aaxis aligns with theα-axis.
Theαandβinput components in theαβreference frame.
The direction of the equivalenta,b, andcoutput components in theabcreference frame and theαβreference frame.
The time-response of the individual components of equivalent balancedαβandabcsystems.
Equations
The following equation describes the Inverse Clarke transform computation:
For balanced systems like motors, the zero sequence component calculation is always zero:
Therefore, you can use only two current sensors in three-phase motor drives, where you can calculate the third phase as,
By using these equations, the block implements the Inverse Clarke transform as,
where:
and are the balanced two-phase orthogonal components in the stationaryαβreference frame.
is the zero component in the stationaryαβreference frame.
, , and are the balanced three-phase components in theabcreference frame.