Page 125 - Handbook of Electrical Engineering

INDUCTION MOTORS 107

slip. This is shown in Figure 5.5 for a voltage of 75%, where the rotor would settle at a speed of
about 85% and a current of about 230%.

5.2.2 Motor Starting Current versus Speed Characteristic

Once it is established that the motor will produce sufficient torque throughout the speed range then
the next considerations are the starting and run-up currents. By examining typical motor impedance
values or data from manufacturers, it can be seen that the starting current for typical motors varies
between 3.5 times full-load current for large high voltage motors and about 7 times for small low
voltage motors. For oil industry applications it is often required that the starting current of the motor
should be kept to a low value for direct-on-line starting. The oil industry standard EEMUA132, 1988,
gives recommended reduced ratios of starting current to full-load current (I s /I n ) for ratings above
40 kW, see clauses 5.2 and 5.3 therein. These clauses refer to ‘Design N’ and ‘Design D’ motors,
which are described in BS4999 part 112 and IEC60034 part 12. Both designs are for direct-on-line
starting. Design N provides for general purpose motors, whereas Design D requires the motor to
have reduced starting current. These standards have several tables which state the limiting values
of ‘locked rotor apparent power’, which is synonymous with starting current and takes account of
the power factor at starting. There are also tables that give limiting values for the starting torque,
pull-up torque and breakdown torque for these two types of designs. American practice is covered
by NEMA publication MG1 which gives comprehensive tables and data for many different ‘designs’
and ‘codes’ for induction motors.

The starting current can be calculated from the equivalent circuit with the value of slip set
equal to zero. Once the starting current has been calculated then the starting kVA and power factor
can easily be found. The variation of starting current over the full range of slip values is shown in
Figure 5.4 for a 22 kW motor and in Figure 5.5 for a 200 kW low voltage motor. The engineer is
usually given the following data by a manufacturer for full-load operation of the motor:-

• Rated line-to-line voltage V in volts.
• Rated line current I in amps.

• Rated output power P 0 in kilowatts.
• Rated power factor cos φ in per-unit.
• Rated efficiency η in per-unit or percent

• Rated slip in per-unit or percent

These variables are related by the following expressions:-
√
3VI
Rated kVA S 0 =
1000
P 0
Rated input power P i = = S 0 cos φ
η
S P 0
Rated input current I = √ = √
3V 3Vη cos φ