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Current is a scalar quantity, is it converted to vector quantity using Clarke's transformation? If it is correct, I would like to know how transformation converts from scalar to vector?

Thanks and best regards

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  • \$\begingroup\$ No. Current is a scalar, but current in a coil in a motor is a vector dependent on the coil's orientation. \$\endgroup\$ Jul 31 at 13:09
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Summary answer.

We can consider that the current is a scalar quantity originally, even if in time, we can have a qualification of "complex" number and therefore also "vector" in time.

If we speak of a current of 1 A, we do not generally attribute to it a "geometric sense" (a direction in space).

However, if we consider that the magnetic field created in a coil by a current (mechanical element) is "axial" in the coil, one thus finds oneself in a certain "mechanical configuration" according to the position of the assembly of this one in space and one can then consider that the current has a "geometric" qualification ... therefore "vector" (x, y, z, or angular ...) in the broad sense of the term. This is the case with three-phase machines where the 3 coils create a "rotating" magnetic field in "space" and in "time".

This "rotating" field can be described in many different ways ... hence the various types of "vector transformations".

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