ABC to DQ Transform VI

Owning Palette: Transforms VIs

Requires: Electric Motor Simulation Toolkit

Transforms the three-phase current or voltage to direct and quad currents or voltages.

The three-phase current or voltage is the AC current or voltage of a three-phase circuit, while the d, q currents or voltages are the direct and quad current or voltage in the flux, torque (d, q) rotating reference frame.

Details  

	a specifies the a current or voltage, in amperes or volts, of the three-phase current or voltage.
	b specifies the b current or voltage, in amperes or volts, of the three-phase current or voltage.
	rotor position specifies the mechanical rotor position, in degrees, of the electric motor.
	error in describes error conditions that occur before this node runs. This input provides standard error in functionality.
	d returns the direct current or voltage, in amperes or volts, from the Clarke and Park transform.
	q returns the quad current or voltage, in amperes or volts, from the Clarke and Park transform.
	error out contains error information. This output provides standard error out functionality.

ABC to DQ Transform Details

The equations for transforming current and voltage are similar. This section takes the current equations for an example.

This VI assumes that I_a+I_b+I_c=0, where I_a is the value of the a current, I_b is the value of the b current, and I_c is the value of the c current of the three-phase current.

The following equations convert three-phase current to direct and quad current:

where	Id is the d or direct current
	Iq is the q or quad current
	θ is the mechanical rotor position in radians

The values of I_d and I_q are also derived from the following equations:

where