The synchronous speed of the motor is given by equation 1. The current in that loop will result in a simultaneous torque that has the same functional form but with all angular arguments moved back by 2. Torque equation of an induction motor starting torque. Pdf modelling of the threephase induction motor using. The motor is mounted in a test rig that allows one to control the torque applied to the motor shaft and to measure both rpm and torque. Pdf induction motor magnetizing inductance modelling as. We know that rotor current, substitute this value of i 2 in the equation of rotor copper losses, p c. Induction motor magnetizing inductance modelling as a function of torque conference paper pdf available january 2004 with 2,471 reads how we measure reads.
So, finally the equation of torque becomes, derivation of k in torque equation. At synchronous speed, s 0 and hence developed torque td 0. Equation of starting torque of three phase induction motor starting torque is the torque produced by induction motor when it starts. Use the trigonometric identities that sin cos s s t t 2.
This paper describes a generalized simulation model of the threephase induction motor using the simulink software package of matlab. Induction motor equations engn1931f spring 2017 3 suppose, however, we add a second coil at a right angle to the first. How an induction motor works by equations and physics. The starting torque is also known as standstill torque. Torque of a three phase induction motor is proportional to flux per stator pole, rotor current and the power factor of the rotor. The motoring region of the induction machine torque speed curve is the region of greatest interest. In case of three phase induction motor, there occur copper losses in rotor. Ss 120 x f p 120 x 60 8 900 rpm rotor speed motor slip is known, equation 2. Let us derive some very important power and induced torque equations for induction motor. You should also make a dc measurement of stator winding linetoline resistance using a dmm. The friction and windage losses are 600 w, the core losses are 1800 w, and the stray losses are negligible. Therefore, the starting is obtained by putting the value of s 1 in the equation 6, we get.
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