Turbine generator synchronous inductance
QuickField simulation example
The magnetic reluctance of the rotor varies along its d- and q-axes. As a result, stator armature inductance varies with the rotor angular position. When the rotor d-axis is parallel to the stator magnetic field, the inductance value is maximum and is referred to as synchronous inductance.
Engineering question
How to find synchronous inductance versus rotor position?
Engineering answer
Set up a plane-parallel QuickField DC Magnetics problem for a synchronous machine and evaluate inductance versus rotor position from computed field results.
Typical applications
synchronous machines, rotor saliency systems, synchronous motor windings
- Download simulation files (files may be viewed using any QuickField Edition).
Problem Type
Plane-parallel problem of DC magnetics.
Geometry
Axial length is 5400 mm.
Given
The B-H curve for the tooth zone:
The B-H curve for the rotor and stator yoke:
Task
Calculate phase coil inductance.
Solution
Only the A-X coil is energized by direct current to calculate a phase coil inductance. The magnetic field energy is measured:
Inductance = 2* Energy / Current²
To obtain the maximum inductance value, we solve a series of problems with varying rotor angular positions.
A LabelMover parameterization tool is used to automate the generation and analysis of a series of problems.
Results
Synchronous inductance Ld = 0.017 H.
- Video: Synchronous inductance. Watch on YouTube