control ppt webpage AC motors ch4 - Chapter 4 Control...

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Chapter 4 Control System Components
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DC Control Components potentiometer tachogenerator dc servo motor dc amplifier
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amplification of slowly varying signals is difficult - hence. ...
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ac / carrier control Systems
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ac control system components synchro pair ac tachogenerator ac amplifier ac servo motor
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ac servo motor special induction motor 2 - phase electric supply
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Torque speed curve of an induction motor follows. ...
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v r v c Rotor Load J, B v r = V cos ω c t v c = e sin ω c t Two phase servo motor
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1.0 0 C B T max Torque T st slip s Tmax A max T s
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Portion AB - unstable Portion BC - stable s Tmax = R 2 / X 2
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1.0 0 C B T max Torque T st slip s Tmax A
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1.0 0 C B T max Torque T st slip s Tmax i A R i R i i s Tmax ii
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R ii > R i s Tmax ii > s Tmax i
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1.0 slip C B Make X 2 = R 2 s Tmax = 1 0
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Portion BC extended for the full speed range.
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Salient features of ac servo motor Rotor with high resistance Low inertia Two phase operation
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v r v c Rotor Load J, B v r = V cos ω c t v c = e sin ω c t Two phase servo motor
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Torque speed E 1 E 2 E 3 E 1 > E 2 > E 3 E o
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T m = f ( E, ω ) Using Taylor series, T m = T mo + -------- E E = E 0 ω = ω 0 Tm (E- E 0 ) Tm ------- ∂ ω + ( ω - ω 0 ) E = E 0 ω = ω 0
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T m - T mo = K 1 ( E - E 0 ) - K 2 ( ω - ω 0 ) Δ T m = K 1 Δ E - K 2 Δ ω
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= ( J s + B ) Δ ω Δ ω K 1 ------ = ------------ Δ E K 2 + Js + B
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For position control, the operating point is T m0 = 0, ω 0 = 0 and E 0 = 0
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To evaluate K 1 & K 2 Torque r a t e d v o l g speed
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At ω = 0, T = stall Torque At T = 0, ω = no load speed
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Torque r a t e d v o l g speed To evaluate K 1
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K 1 = stall Torque ( rated voltage ) rated control phase voltage
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K 2 Torque r a t e d v o l g speed To evaluate
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K 2 = stall Torque ( rated voltage ) no load speed ( rated voltage )
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Since the slope of torque speed curve reduces as rated voltage reduces . ......
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We take K 2 = 1 stall torque ( rated voltage) 2 no load speed ( rated voltage) for position control,
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control ppt webpage AC motors ch4 - Chapter 4 Control...

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