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Elevatorgearmotor

# Elevatorgearmotor - Dynamic simulation of an elevator...

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Dynamic simulation of an elevator driven by separately excited DC motor by means of a gear 1. Scheme of the elevator system (a) (b) M o t o r L o a d G e a r R M . - M r r L M . T T F v ϖ L L L L ϖ M . M . 1 2 e l e v a t o r p u l l e y R M. M. 2 1 pulley elevator cabin M1 –mass of the counterweight, M2- mass of the cabin, T M = T em – electromagnetic torque developed by the motor, ϖ M = speed of the rotor, T L – load torque on pulley side, ϖ L – speed of the pulley, R – pulley radius, v – cabin speed, r L /r M gear ratio. Equations: 1. Motor equations: - Voltage equation of the motor armature circuit:

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a a a a a a di v e R i L dt = + + , where a M e K ϖ = - Electromagnetic torque equation: em a T K I = - Motion equation of mechanical system seen from the motor side ( ) M M em M M M L M d T T J B T dt ϖ ϖ = = + + , if B M = 0, ( ) M M M L M d T J T dt ϖ = + where T L(M) – load seen from the motor side. - Motion equation of the mechanical system seen from the load side: Multiplying the motion equation by the gear ratio ( ) L L M M L M L r T r T ϖ ϖ = =
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