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Space vector representation of three phase signals in stationary and rotating frames

version 1.0.0.0 (11.3 KB) by Syed Abdul Rahman Kashif
Space Vector Representation of Three Phase Signals in Stationary and Rotating Frames

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Updated 28 Jul 2011

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This demonstration illustrates the use of a complex space vector to represent a three-phase signal . It also shows the transformation of the 3-phase signal 'ABC' into an equivalent 2-phase system 'alpha_beta'. The only restriction to the 3-phase signal is that the zero-sequence component is zero i.e. fA+fB+fC=0.
The complex space vector in the stationary frame is defined as
Fs = 2/3 (fA + fB*exp(j2*pi/3) + fC*exp(-2j*pi/3)
whose cartesian components are
fa = Re (Fs)
fb = Im (Fs)
When expressed in a rotating frame at frequency wk, the space vector becomes
Fk = Fs*exp(-jwk*t)
whose cartesian components are
fd = Re(Fk)
fq = Im(Fk)
The inverse transformation from complex space vector back to the 3-phase signal is also demonstrated.
Finally, the real transformations of the ABC components to the components ab (in the stationary frame) and then dq (in the rotating frame) are shown.

Cite As

Syed Abdul Rahman Kashif (2020). Space vector representation of three phase signals in stationary and rotating frames (https://www.mathworks.com/matlabcentral/fileexchange/32368-space-vector-representation-of-three-phase-signals-in-stationary-and-rotating-frames), MATLAB Central File Exchange. Retrieved .

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yoash levron

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MATLAB Release Compatibility
Created with R2008b
Compatible with any release
Platform Compatibility
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