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# Space vector representation of three phase signals in stationary and rotating frames 1.0

Date Added: May 24, 2013  |  Visits: 229

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 asFs = 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.

 Requirements: No special requirements Platforms: Matlab Keyword: Cartesian,  Components,  Defined,  Expressed,  Fbexpj,  Fcexp Jpi,  Frame,  Rotating,  Stationary Users rating: 0/10