induction machines - lecture 10

induction machines - lecture 10 - Induction Machines S.D....

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Induction Machines S.D. Sudhoff Spring 2008
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Spring 2008 ECE321 2 Reading • Chapter 5, “Electromechanical Motion Devices,” Sections 5.1-5.12
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Spring 2008 ECE321 3 Sample Applications •L o w P o w e r : ¾ Shaded pole machines (small fans) ¾ Permanent Split Capacitor Machines • Medium Power: ¾ Pumps ¾ Vehicle Propulsion ¾ Drive Applications • High Power: ¾ Ship, Train Propulsion
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Spring 2008 ECE321 4 Characteristics • The Good • The Bad
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Spring 2008 ECE321 5 Types of IM Machines • Wound Rotor • Squirrel Cage • Solid Rotor
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Spring 2008 ECE321 6 150 Hp @ 1800 RPM
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Spring 2008 ECE321 7 5 Hp @ 1800 RPM
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Spring 2008 ECE321 8 1 Hp @ 1800 RPM
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Spring 2008 ECE321 9 1 Hp @ 1800 RPM (Stator)
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Spring 2008 ECE321 10 1 Hp @ 1800 RPM (Rotor)
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Spring 2008 ECE321 11 Two-Phase IM
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Spring 2008 ECE321 12 Stator MMF • Stator winding functions • Stator currents • Stator MMF
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Spring 2008 ECE321 13 Rotor MMF • Induced rotor currents • Rotor winding functions • Rotor MMF
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Spring 2008 ECE321 14 Comparison of MMFs • As viewed from stator • As viewed from rotor
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Spring 2008 ECE321 15 Our Analysis • Machine Variable Model • Referred Machine Variable Model • QD Model • Steady-State Model
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Spring 2008 ECE321 16 Machine Variable IM Model Voltage Equations • Voltage Equation ¾ (5.3-1) ¾ (5.3-2) ¾ (5.3-3) ¾ (5.3-4) dt d i r v as as s as λ + = dt d i r v bs bs s bs + = dt d i r v ar ar r ar + = dt d i r v br br r br + =
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Spring 2008 ECE321 17 Machine Variable IM Model Voltage Equations •O r ¾ (5.3-5) ¾ (5.3-6) •W h e r e ¾ (5.3-7) ¾ (5.3-8) ] [ ) ( bs as T abs f f = f ] [ ) ( br ar T abr f f = f abr abr r abr abs abs s abs p p λ λ + = + = i r v i r v
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Spring 2008 ECE321 18 Machine Variable Machine Model Flux Linkage Equations • In Scalar Form ¾ (5.3-11) ¾ (5.3-12) ¾ (5.3-13) ¾ (5.3-14) br asbr ar asar bs asbs as asas as i L i L i L i L + + + = λ br bsbr ar bsar bs bsbs as bsas bs i L i L i L i L + + + = br arbr ar arar bs arbs as aras ar i L i L i L i L + + + = br brbr ar brar bs brbs as bras br i L i L i L i L + + + =
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Spring 2008 ECE321 19 Machine Variable Machine Model Flux Linkage Equations • In Matrix-Vector Form ¾ (5.3-15) ¾ (5.3-16) •O r ¾ (5.3-17) abr sr abs s abs i L i L + = λ abr r abs T sr abr i L i L + = ) ( λ = abr abs r T sr sr s abr abs i i L L L L ) ( λ λ
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Spring 2008 ECE321 20 Machine Variable Model Flux Linkage Equations • Derivation of Magnetizing Inductances
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Spring 2008 ECE321 21 Machine Variable Model Flux Linkage Equations • Derivation of Magnetizing Inductances (Cont)
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Spring 2008 ECE321 22 Machine Variable Model Flux Linkage Equations •S u m m a r y ¾ (5.3-24) ¾ (5.5-25) ¾ (5.3-35) I L ss ss ss s L L L = = 0 0 I L rr rr rr r L L L = = 0 0 = r r r r sr sr L θ cos sin sin cos L
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Spring 2008 ECE321 23 Machine Variable Model Flux Linkage Equations •W h e r e ¾ (5.3-18) ¾ (5.3-19) ¾ (5.3-20) ¾ (5.3-21) ¾ (5.3-30) ms ls ss L L L + = mr lr rr L L L + = m s ms N L R 2 = m r mr N L 2 = m s r sr N N L =
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Spring 2008 ECE321 24 Machine Variable Model Torque Equation • Lets start with (5.3-17) = abr abs r T sr sr s abr abs i i L L L L ) ( λ λ
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Spring 2008 ECE321 25 Machine Variable Model Torque Equation
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Spring 2008 ECE321 26 Referred Machine Variable Model •W h y ? ?
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This note was uploaded on 09/22/2011 for the course ECE 321 taught by Professor Staff during the Spring '08 term at Purdue.

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induction machines - lecture 10 - Induction Machines S.D....

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