Lecture3 - Lecture 3 dependence of Inductance due to...

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Lecture 3 θ dependence of Inductance due to Geometry of Iron Case 1 . Cylindrical stator and rotor; Stator winding has inductance ) ( m S L Point A on the round rotor makes angle m with stator winding axis. The stator inductance ) ( m S L is independent of m . Case 2 . Cylindrical stator and rotor; Rotor winding ) ( m R L The rotor inductance ) ( m R L is independent of m . Case 3 . Cylindrical stator and salient pole rotor (Axis-symmetric). () s m L m R m L m m A m c R L m s L s m L m 90 180 270 360
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The stator inductance is a function of even harmonics of m θ . 1,3,5 () c o s ( 2) s mk m k LA k = = Case 4 . Cylindrical stator and salient pole rotor; Winding on rotor with inductance ) ( m R L Since the stator is cylindrical, The rotor inductance ) ( m R L is independent of m . Question 1 . Can the inductance become negative? Question 2 . What is the form of ) ( m R L for a cylindrical stator structure and a rotor with 4 salient poles? Flux linkage S m S S i L = ) ( λ Faraday’s Law of Electromagnetic Induction: S m m m S s m S S m S S S i dt d d dL dt di L i L dt d dt d v ) ( ) ( ) ) ( ( + = = = , and m m d dt ω = is angular velocity R m L m m m s m L
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Power 2 ) ( ) ( S m m m S S S m
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Lecture3 - Lecture 3 dependence of Inductance due to...

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