O'Reilly logo

Direct Eigen Control for Induction Machines and Synchronous Motors by Jean Claude Alacoque

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

Appendix B

Transfer Matrix Calculation

To be able to calculate the transfer matrix in the case of an interior permanent magnet synchronous motor (IPM-SM), we will initially calculate the eigenvectors associated with the eigenvalues of the evolution matrix.

The four row eigenvectors image, image, image and image, constitute the 4 × 4 transfer matrix:

(B.1)    image

B.1 First Eigenvector Calculation

Equation (3.46), applied to the first eigenvector, is written:

(B.2)    image

Developing the matrix relation, we obtain the following equation system:

(B.3)    image

The last two system equations are solved by the elimination of p31, one of the two unknowns:

(B.4)    image

However , since μ1 ≠ 0 ∀ ω (cf. equation (3.34)). The only possible solution is ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required