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Unformatted text preview: Lecture 14  EE743 Lecture 14  EE743 Professor: Ali Keyhani Professor: Ali Keyhani TwoPhase Induction Machines Part II 2 The stator and rotor windings are orthogonal. No coupling exists between as as and bs bs windings or between ar ar and br br windings. The stator and rotor windings are in relative motion, that is, a coupling exists between the stator and rotor windings. TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines 3 This coupling will vary with the position of r of the rotor windings relative to the stator windings. We will describe the dynamic equations for the schematic representation of an induction machine depicted in the following figures. TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines 4 TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines x x x x as as br bs ar br ar bs asaxis braxis bsaxis araxis s r r r T e T L 5 TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines A twopole twophase symmetrical induction machine s 6 The voltage equations are given by, TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines ings rotor wind the of Resistance r ings, rotor wind For the dings stator win the of Resistance r dings, stator win For the r s = + = + = = + = + = br br r br ar ar r ar bs bs s bs as as s as P i r V P i r V P i r V P i r V 7 The vector representation of the voltage equations is as follows, Let TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines abr abr r abr abs abs s abs P i r V P i r V + = + = ( 29 [ ] ( 29 [ ] br ar T abr bs as T abs f f f f f f = = 8 f f can represent voltage, current, or flux linkages. The stator and rotor resistances can be also represented as a vector, TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines [ ] [ ] I r r r r r I r r r r r r r r r r s s s s s = = = = = = 1 1 1 1 9 The flux linkage equations, in a matrix form are expressed as, TwoPhase TwoPoles Induction TwoPhase TwoPoles Induction Machines Machines ( 29 abr r abs T sr abr abr sr abs s abs br ar bs as brbr brar brbs bras arbr arar arbs aras bsbr bsar bsbs bsas asbr asar asbs asas br ar bs as i L i L i L i L i i i i L L L L L L L L L L L L L L L L + = + =...
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This note was uploaded on 07/17/2008 for the course ECE 743 taught by Professor Keyhani during the Spring '08 term at Ohio State.
 Spring '08
 Keyhani

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