Due Feb 11.

The assignment is just in the canvas page this time:


This is a group assignment. Please make one submission as a group. The Project Groups have been assigned and you can see who your team members are by clicking on People from the left-hand side navigation menu. 

A 6-pole, 3-phase permanent magnet type “synchronous” machine has a phase self-inductance of 150 μH and a phase-to-phase mutual inductance of 15 μH. At an electrical angular speed of 1,337 rad/sec, the rotor radially mounted permanent magnets induced the following back emf’s in the a, b, and c phases of the stationary armature:

ea = Em cos (ωt - 0.46)            Volts

eb = Em cos (ωt - 0.46 - 2π/3)  Volts

ec = Em cos (ωt - 0.46 - 4π/3)  Volts

where, Em = 63 Volts.

The three armature phases are Y-connected with an isolated (floating) neutral and has a per-phase resistance of 9.4 mW.

    Show the machine cross-section (6-pole). Also, draw the schematic diagram (assume a simplified 2-pole structure for this schematic) and label all axes, assuming radial type PM structure.
    Write down the State Space model in expanded matrix form (no values), with a minimum number of independent state variables.
    Write down the matrices A and B and show its numerical values.

Submission Instructions

    Follow the instructions above. Your submission should be typed, clear, organized, and showing your work.
    You may discuss the problem with other groups. However, each group should work independently.
    Only one team member needs to submit the assignment. It must be submitted as a single .pdf file, readable, with all pages right side up. Files that are not submitted correctly will not be graded