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its all about dynamic machine and it deals about reference frame driven formula's
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Time Block Diagram and State Equation
Shunt DC motor
1
Solving field voltage equation and armature voltage equation:
Permanent Magnet DC Motor
2
3Solving for dr /dt :
State equation in matrix (vector matrix) :
For Shunt DC motor
4System Equation :
x = state vectoru = input vector
for Permanent Magnet DC Motor
Chapter 3
Reference frames
But
then
----------- 1
----------- 2
----------- 3
----------- 4
Sub equation 3 in to equation 1
From equation 2 we have
The desired transformation obtained by substituting the appropriate transformation in to , Hence
Transformation between two reference frames portrayed by trigonometric relationships.
BY T.K