Lecture 20 EE 743 TwoPhase Induction Machines Part
- Slides: 14
Lecture 20 - EE 743 Two-Phase Induction Machines Part VII Professor: Ali Keyhani
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n For an arbitrary reference of frame, the Steady -State Operation equations are expressed as, 2
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame 3
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n The torque for an arbitrary reference frame can be expressed as, 4
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n Also, for a two-pole induction machine, the torque could be expressed as, n where, (P=2) 5
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n The energy is defined as, 6
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n For a P-pole machine, we shall consider the following, 7
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n Recall, 8
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n For the Steady-State Operation, let P=j( e ), ) then n Substitute for qs , ds , ’ar , and ’qr and let now 9
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n Recall, n Therefore, 10
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n Re-writing V ’qr as, 11
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n Let, n Then, we will have 12
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame 13
Two-Phase Two-Poles Induction Machines - Arbitrary Reference Frame n The circuit shown below is the representation of the equations derived previously. + Vas - rs j. Xls i as Lms j. X’lr r ’r s + i’ar V’ar s - 14