Velocity vs.Force Relationship -DC Linear Motor ME350 Basic Trend:Fload→vl;Fioa】→vY Fload Note:v is the steady-state velocity 16
16 ME 350 Velocity vs. Force Relationship – DC Linear Motor v Fload • Basic Trend: Fload v ; Fload v Note: v is the steady-state velocity
PM DC Motor:Theory of Operation ME350 Basic Equations: Motor Output Torque: for0≤ia K中 T T Kia-To T:motor output torque K:torque constant(motor specific,based on the construction) i:armature current [Amp] magnetic flux [webers][T m2] 7o:torque loss (e.g.frictional) 17
17 ME 350 PM DC Motor: Theory of Operation Motor Output Torque: ⎪ ⎪ ⎩ ⎪ ⎪ ⎨ ⎧ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ − ≥ ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ≤≤ = φ φ φ T AT A T A K T iTiK K T i T 0 0 0 for 0 0for T: motor output torque K T: torque constant (motor specific, based on the construction) i A: armature current [Amp] φ: magnetic flux [webers] = [T m 2 ] T0: torque loss (e.g. frictional) Basic Equations:
PM DC Motor:Theory of Operation ME350 Current Line: To iA=Krb1千KT中 Slope 1/KT T/K中 T 18
18 ME 350 T Tφφ A K T T K i 1 0 += Current Line: i T T0/KTφ Slope = 1/KTφ PM DC Motor: Theory of Operation
PM DC Motor:Theory of Operation ME350 Electromotive Force (EMF): eind Kpno eind:induced voltage or EMF K-:EMF constant(motor specific,based on construction) n:rotational speed of the motor [rpm] 19
19 ME 350 PM DC Motor: Theory of Operation Electromotive Force (EMF): = Eind nKe φ eind: induced voltage or EMF KE: EMF constant (motor specific, based on construction) n: rotational speed of the motor [rpm]