Motor-Starting Sags
Motors have the undesirable effect of drawing several times their full
load current while starting. This large current will, by flowing through
system impedances, cause a voltage sag which may dim lights, cause
contactors to drop out, and disrupt sensitive equipment. The situation
is made worse by an extremely poor starting displacement factor—usually
in the range of 15 to 30 percent.
The time required for the motor to accelerate to rated speed increases
with the magnitude of the sag, and an excessive sag may prevent the
motor from starting successfully. Motor starting sags can persist for
many seconds, as illustrated in Fig. 3.31.
Motor-starting methods
Energizing the motor in a single step (full-voltage starting) provides low
cost and allows the most rapid acceleration. It is the preferred method
unless the resulting voltage sag or mechanical stress is excessive.
Autotransformer starters have two autotransformers connected in
open delta. Taps provide a motor voltage of 80, 65, or 50 percent of system
voltage during start-up. Line current and starting torque vary
with the square of the voltage applied to the motor, so the 50 percent
tap will deliver only 25 percent of the full-voltage starting current and
torque. The lowest tap which will supply the required starting torque
is selected.
Chapter Three
Resistance and reactance starters initially insert an impedance in
series with the motor. After a time delay, this impedance is shorted out.
Starting resistors may be shorted out over several steps; starting reactors
are shorted out in a single step. Line current and starting torque
vary directly with the voltage applied to the motor, so for a given starting
voltage, these starters draw more current from the line than with
autotransformer starters, but provide higher starting torque. Reactors
are typically provided with 50, 45, and 37.5 percent taps.
Part-winding starters are attractive for use with dual-rated motors
(220/440 V or 230/460 V). The stator of a dual-rated motor consists of
two windings connected in parallel at the lower voltage rating, or in
series at the higher voltage rating. When operated with a part-winding
starter at the lower voltage rating, only one winding is energized initially,
limiting starting current and starting torque to 50 percent of the
values seen when both windings are energized simultaneously.
Delta-wye starters connect the stator in wye for starting and then,
after a time delay, reconnect the windings in delta. The wye connection
reduces the starting voltage to 57 percent of the system line-line voltage;
starting current and starting torque are reduced to 33 percent of their
values for full-voltage start.
Estimating the sag severity during
full-voltage starting
As shown in Fig. 3.31, starting an induction motor results in a steep dip
in voltage, followed by a gradual recovery. If full-voltage starting is
used, the sag voltage, in per unit of nominal system voltage, is
where V(pu) = actual system voltage, in per unit of nominal
kVALR = motor locked rotor kVA
kVASC =system short-circuit kVA at motor
Figure 3.32 illustrates the results of this computation for sag to 90 percent
of nominal voltage, using typical system impedances and motor
characteristics.
If the result is above the minimum allowable steady-state voltage for
the affected equipment, then the full-voltage starting is acceptable. If
not, then the sag magnitude versus duration characteristic must be
compared to the voltage tolerance envelope of the affected equipment.
The required calculations are fairly complicated and best left to a
motor-starting or general transient analysis computer program. The
following data will be required for the simulation:
v Parameter values for the standard induction motor equivalent circuit:
R1, X1, R2, X2, and XM.
■ Number of motor poles and rated rpm (or slip).
■ WK2 (inertia constant) values for the motor and the motor load.
■ Torque versus speed characteristic for the motor load.
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