3.3.8 mcFoc_ClarkeTransformation

C


/* Clarke Transformation */
void mcFoc_ClarkeTransformation( const tmcTypes_ABC_s * pABC, tmcTypes_AlphaBeta_s * const pAlphaBeta )

Summary

Clarke Transformation

Description

This function performs the Clarke transformation to convert three-phase currents into two-phase alpha-beta currents.

The Clarke transform is a linear transformation, shown in following equation, which can apply to any vector quantity $X$ , although typical examples are voltage $V$ , current $I$ , or flux linkage $ψ$ .

X_{α} = \frac{2}{3} X_{A} - \frac{1}{3} X_{B} - \frac{1}{3} X_{C} = X_{A}

X_{β} = \frac{1}{\sqrt{3}} X_{A} + \frac{2}{\sqrt{3}} X_{B}

The function assumes that the sum of the three-phase values is zero $(X_{A} + X_{B} + X_{C} = 0)$ , which is a common assumption in balanced three-phase systems.

Precondition

None..

Parameters


Param	Description
pABC	A pointer to the structure holding three-phase currents.
pAlphaBeta	A pointer to the structure holding alpha-beta currents.

Returns

None

Example

tmcTypes_ABC_s phaseValues = { .a = 1.0f, .b = 0.5f, .c = -1.5f };
tmcTypes_AlphaBeta_s AlphaBeta;;
mcFoc_ClarkeTransformation(&phaseValues, &AlphaBeta);

Remarks

None.