1. Single and Three Phase
Transformers
Learning Outcome 8

2. Harmonics in transformers

3. The Sine Wave

4. General format of the sine wave

5. Phase relations

6. Phase relations

7. Phase relations

8. Phase relations
cos α = sin ( α + 90°)
sin α = cos ( α - 90°)
-sin α = sin ( α ± 180°)
-cos α = sin ( α + 270°) = sin ( α - 90°)
sin (- α ) = - sin α
cos (- α ) = cos α

9. Examples