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OBJECTIVES
After studying this unit, the learner will be able to
- determine, for several types of three-phase ac induction motors, the:
- size of the conductors required for three-phase, three-wire
branch circuits.
- sizes of fuses used to provide starting protection.
- disconnecting means required for the motor type.
- size of the thermal overload units required for running overcurrent
protection. size of the main feeder to a motor installation.
- overcurrent protection required for the main feeder.
- main disconnecting means for the motor installation.
- use the National Electrical Code.
The work of the industrial electrician requires knowledge of the National
Electrical Code requirements which govern three-phase motor installations
and the ability to apply these requirements to installations. The elements
of a motor circuit are shown in figure 21-1.
This unit outlines the procedure for determining the wire size and the
proper overload and starting protection for a typical three-phase motor
installation. The motor installation example consists of a feeder circuit
feeding three branch circuits. Each of the three branch circuits is connected
to a three-phase motor of a specified horsepower rating. The feeder circuit
and the branch circuits have the necessary overcurrent protection required
by the National Electrical Code.

Fig. 21-1 Line diagram of motor control system.
THREE-PHASE MOTOR LOAD

Fig. 21—2 Branch circuit for each motor
The industrial motor installation described in this example is connected
to a 230-volt, three-phase, three-wire service (figure 21—2). The load
of this system consists of the following branch circuits.
1. One branch circuit which feeds a three-phase, squirrel-cage induction
motor rated at 230 volts, 28 amperes, 10 hp, with a code letter F marking.
2. One branch circuit which feeds a three-phase, squirrel-cage induction
motor rated at 230 volts, 64 amperes, 25 hp, with a code letter B marking.
3. One branch circuit which feeds a three-phase, wound-rotor induction
motor rated at 230 volts, 54 amperes, and 20 hp. The full-load rotor current
is 60 amperes.
BRANCH CIRCUIT FOR EACH MOTOR
The values given in NEC Tables 310-16, 310-17, 310-18 and 310-19, including
notes, shall be used with code book current for motors in determining ampacity
of conductor and fuse size.
Three specific facts must be determined for each of the three branch circuits
comprising the load of the installation.
1. The size of the conductors for each three-phase, three-wire branch
circuit.
2. The fuse size to be used for short circuit protection. The fuses protect
the wiring and the motor from any faults or short circuits in the wiring
or motor windings.
3. The size of the thermal overload units to be used for running protection.
The overload units protect the motor from potential damage due to a continued
overload on the motor.
NOTE: The full-load amperes shall be taken from the motor’s nameplate
only for calculating thermal overload units (See NEC Article 430-6). Other
calculations are based on code book rated values from 430-148, 149, 150.
BRANCH CIRCUIT 1
The first branch circuit feeds a three-phase, squirrel-cage induction
motor. The nameplate data of this motor is as follows:
Squirrel-Cage Induction Motor |
Volts 230
Phase 3
Code Letter F
10 Horsepower |
Amperes 28
Speed 1,735 r/min
Frequency 60 Hertz
Temperature Rating 40° Celsius |
Conductor Size
Section 430-22(a) of the Code states that branch-circuit conductors supplying
a single motor shall have a carrying capacity equal to not less than 125
percent of the full-load current rating of a motor. This general rule may
be modified according to Table 430-22 (a) Exception for certain special
service classifications.
The following procedure is used to determine the size of the conductors
of the branch circuit feeding the 10-hp motor.
a. The 10-hp motor has a full-load current rating of 28 amperes. According
to Section 430-152:
28 x 125% = 35 amperes
b. Using 35 amps and referring to Table 310—16, a proper size conductor
is selected. This process requires the electrician to determine the temperature
ratings of each termination used second the ampere rating of the equipment
circuit. According to NEC Article 110—14(c), the temperature rating of
the conductor, used to determine the ampere capacity(ampacity), must not
exceed the temperature rating of any of the connections. Unless all the
terminations are marked for a higher temperature, the column in 310—16
marked 60-degree-C is selected to determine the conductor ampacity. Even
if using a standard building wire THHN, the conductor size is #8 in the
60-degree-C column.
c. Table C1 in NEC Appendix C indicates that 3 #8 THHN conductors will
fit in a 1/2 inch conduit.
The squirrel-cage induction motor is to be connected directly across the
rated line voltage through an across-the-line motor starter. The branch-circuit,
short circuit and ground fault protection for this motor consists of three
standard nontime-delay fuses enclosed in a safety switch located on the
line side of the magnetic starter. According to Section 430-1 09 of the
Code, this switch shall be a motor-circuit switch with a horse power rating,
a circuit breaker, or a molded case switch and shall be a listed device.
NOTE: The Underwriters’ Laboratories, Inc. Electrical Construction Materials
List states that “some enclosed switches have dual horsepower ratings,
the larger of which is based on the use of fuses with time delay appropriate
for the starting characteristics of the motor. Switches with such horsepower
ratings are marked to indicate this limitation and are tested at the larger
of the two ratings.”
Motor Branch-Circuit Protection
The branch-circuit short circuit and ground fault protection for a three-phase,
squirrel-cage induction motor marked with the code letter F is given in
Table 430-152. For the branch circuit 1 motor being considered, the motor
circuit overcurrent device shall not exceed 300 percent of the full-load
current of the motor (nontime-delay fuses). Article 430-52 with exceptions
applies to Table 430-152.
The branch-circuit fuse protection for the branch circuit feeding the
squirrel-cage motor is:
Since the 10-hp motor has a full-load current rating of 28 amperes, and
given the appropriate value from Table 430-152:
28 x 300%=84 amperes
Section 430-52 states that if the values for branch-circuit protective
devices as deter mined using the percentages in Table 430-1 52 do not correspond
to the standard device sizes or ratings, then the next larger size rating
or setting should be used.
However, Section 240-6 of the Code indicates that the next larger standard
size fuse above 84 amperes is 90 amperes. Standard nontime-delay cartridge
fuses rated at 90 amperes may be used as the branch-circuit protection
for this motor circuit.
The branch circuit, short circuit, and ground fault protection may also
be calculated using a time-delay fuse. Referring to Table 430—152, the
second column is selected and 175% of 28 amps is calculated (1.75 x 28
= 49 amps). The next larger size is used: in this example, 50 amp fuses
would be the choice. The code does allow the electrician to increase the
size of the fuse according to the exceptions to 430—52 c(1).
Three-Pole, Three-Fuse,
230-Volt Ac Safety Switches |
Amperes |
Approximate Manufacturer Horsepower Ratings
Standard |
Maximum |
30
60
100
200
400 |
3
7 1/2
15
25
50 |
7 1/2
15*
30*
60*
100* |
Fig. 21—3 Table for safety switches
Disconnecting Means
According to the table for safety switches (figure 21—3) the disconnecting
means for this 10-hp motor is a 15-hp, 1 00-ampere safety switch in which
the 90-ampere fuses are installed.
Since these safety switches are dual rated, it is permissible to install
a 60-ampere safety switch having a maximum rating of 15 hp if the time-delay
fuses are appropriate for the starting characteristics of the motor. The
size of the time-delay fuses installed in the safety switch depends on
the degree of protection desired and the type of service required of the
motor. Time-delay fuses ranging in size from 35 amperes to 60 amperes may
be installed in the safety switch.
Running Overcurrent Protection
The running overcurrent protection consists of three current monitors,
usually thermal, housed in the across-the-line motor starter. (See the
note following Table 430-37 of the Code for an exception to this statement.)
Section 430-32(a) (1) of the Code states that the running overcurrent
protection (motor & branch circuit overload protection) for a motor
shall trip at not more than 125 percent of the full-load current (as shown
on the nameplate) for motors with a marked temperature rise not over 40
degrees Celsius.
The trip current of the thermal units used as running overcurrent protection
is:
28 x 125% = 35 amperes
When the selected overload relay is not sufficient to start the motor
or to carry the load, Section 430-3 4 permits the use of the next higher
size or rating, but must trip at no more than 140 percent of the full-load
motor current.
BRANCH CIRCUIT 2
A second branch circuit feeds a three-phase, squirrel-cage induction motor.
The nameplate data for this motor is as follows:
Squirrel-Cage Induction Motor |
Volts 230
Phase 3
Code Letter B |
Amperes 64
Speed 1,740 r/min
Frequency 60 Hertz
25 Horsepower
Temperature Rating 40-deg Celsius |
Conductor Size
The following procedure is used to determine the size of the conductors
of the branch circuit feeding the 25-horsepower motor.
a. The 25-hp motor has a full-load current rating of 68 amperes (see NEC
Table 430-150). (According to Code Section 430-22(a), 125% is needed for
ampacity):
68 x 125% = 85 amperes
b. Table 310-1 6 indicates that a No. 3 Type TW or THHN copper conductor
or a No. 3 Type THW conductor. (Assume 60° C terminations).
c. Table C1 of Appendix C shows that three No. 3 TW or THW conductors
may be installed in a 1 1/4-inch conduit. A 1-inch conduit is required
for three No. 3 THHN conductors.
NOTE: Section 360-4F(c) of the Code requires that where conductors of
No. 4 size or larger enter an enclosure, an insulating bushing or equivalent
must be installed on the conduit.
Motor Branch-Circuit Protection
The 25-hp squirrel-cage induction motor is to be started using an autotransformer.
The branch-circuit overcurrent protection for this motor circuit consists
of three non- time-delay fuses located in a safety switch mounted on the
line side of the starting compensator.
For a squirrel-cage induction motor which is marked with code letter B
and which is being used with a starting compensator, Table 430-152 of the
Code requires that the branch-circuit overcurrent protection not exceed
300 percent of the full-load current of the motor.
The branch-circuit overcurrent protection for the branch circuit feeding
this motor is:
Since the 25-hp motor has a full-load current rating of 68 amperes (NEC
Table 43 0-150),
68 x 300% = 204 amperes
Section 240-6 does not show 204 amperes as a standard size for a fuse.
However, Section 430-52 permits the use of a fuse of the next higher size
if the calculated size is not a standard size. In this case, 200 amperes
should be attempted. Therefore, three 200 ampere nontime-delay fuses can
be used as the branch-circuit protection for this motor.
Disconnecting Means
According to the table for safety switches in figure 2 1—3, the disconnecting
means for the 25-hp motor is a 25-hp, 200-ampere safety switch in which
the 200 ampere fuses are installed.
Time-delay fuses may be installed in safety switches. In this example,
175% x 68A = 11 9A. 125 fuses are the next largest size and may be used
according to exceptions to 430-52. The safety switch would be the same
size.
Running Overcurrent Protection (Motor and Branch Circuit Overload
Protection)
The running overcurrent protection consists of three magnetic overloads
located in the starting compensator. According to the nameplate, the motor
has a full-load current rating of 64 amperes. The current setting of the
magnetic overload units is set to trip at
64 x 125% = 80 Amperes (trip current)
BRANCH CIRCUIT 3
A third branch circuit feeds a three-phase, wound-rotor induction motor.
The name plate data for this motor is as follows:
Wound-Rotor Induction Motor |
Volts 230
Phase 3
Frequency 60 Hertz |
Stator Amperes 54
Rotor Amperes 60
20 Horsepower
Temperature Rating 40-deg Celsius |
Conductor Size (Stator)
The following procedure is used to determine the size of the conductors
of the branch circuit feeding the 20-horsepower motor.
a. The 20-hp motor has a full-load current rating of 54 amperes. According
to NEC Section 430-22(a), and Table 430-150, 54 x 125% = 67.5 amperes
b. Table 310-1 6 indicates that a No. 4 Type TW, THW, THHN conductor (70
amperes).
c. Tables C1 of Appendix C show that three No. 4 TW or THW, or THHN conductors
may be installed in a 1-inch conduit.
NOTE: Article 300-4F(c) requires that where conductors of No. 4 size or
larger enter an enclosure, an insulating bushing or equivalent must be
installed on the conduit.
Motor Branch-Circuit Protection
The 20-hp wound-rotor induction motor is to be started by means of an
across- the-line magnetic motor switch. This motor starter applies the
rated three-phase voltage to the stator winding. Speed control is provided
by a manual drum controller used in the rotor or secondary circuit. All
of the resistance of the controller is inserted in the rotor circuit when
the motor is started. As a result, the inrush starting current to the motor
is less than if the motor were started at the full voltage.
The branch-circuit overcurrent protection of a wound-rotor induction motor
is required by Table 430-152 of the Code not to exceed 150 percent of the
full-load running current of the motor.
The branch-circuit overcurrent protection for the branch circuit feeding
this motor is:
The full-load current equals 54 amperes for a 20-hp wound-rotor motor
54 x150% = 81 amperes
Section 240-6 does not show 81 amperes as a standard fuse size. Article
430-52 allows the next larger size. A 90A fuse should be chosen.
Disconnecting Means
According to the table for safety switches in figure 14-3, the disconnecting
means for the 20 hp motor is a 25-hp, 200-ampere safety switch. Reducers
must be installed in this switch to accommodate the 90-ampere fuses required
for the motor branch circuit protection. Because of the dual rating of
these safety switches, it is permissible to use a 100-ampere switch having
a maximum rating of 30 hp. In this case, standard 90-ampere nontime-delay
fuses or 90-ampere time-delay fuses may be installed.
Running Overcurrent Protection (Motor Overload Protection)
The running overcurrent protection consists of three thermal overload
units located in the across-the-line magnetic motor starter (except as
indicated in the note following Table 430-3 7). According to the nameplate,
the motor has a full-load current rating of 54 amperes. The rated trip
current of each thermal unit is:
54 x125% = 67.5 amperes
Conductor Size (Rotor)
The rotor winding of the 20-hp, wound-rotor induction motor is rated at
60 amperes. The following procedure is used to determine the size of the
conductors for the secondary circuit from the rotor slip rings to the drum
controller.
a. Section 430-23 (a) requires that the conductors connecting the secondary
of a wound-rotor induction motor to its controller have a current-carrying
capacity not less than 125 percent of the full-load secondary current of
the motor for continuous duty.
60 x125% = 75 amperes
b. Table 310-1 6 indicates that several types of copper conductors can
be used: No. 3 Type TW, Type THW, or Type THHN, assuming 60° terminations.
c. Table C1 of Appendix C shows that three No. 3 TW conductors can be
installed in a 1¼ inch conduit. A 1¼-inch conduit is required if three
No. 3 THW conductors are used. A 1-inch conduit is required for three No.
3 THHN wires.
NOTE: Article 300-4F(c) requires the use of insulating bushings or equivalent
on all conduits containing conductors of No. 4 size or larger entering
enclosures. If the resistors are mounted outside the speed controller,
the current capacity of the conductors between the controller and the resistors
shall be not less than the values given in Table 430-23(c).
For example, the manual speed controller used with the 20-hp wound-rotor
induction motor is to be used for heavy intermittent duty. Section 430-23(c)
requires that the conductors connecting the resistors to the speed controller
have an ampacity not less than 85 percent of rated rotor current.
60 x 85% = 51 amperes
Table 310-1 6 indicates that 51 amperes can be carried safely by No. 6
wire. As a result, the temperatures generated at the resistor location
are an important consideration.
Section 430-32(d) states that the secondary circuits of wound-rotor induction
motors, including the conductors, controllers and resistors, shall be considered
as protected against overload by the motor running overcurrent protection
in the primary or stator circuits, Therefore, no overcurrent protection
is necessary in the secondary rotor circuit.
MAIN FEEDER
When the conductors of a feeder supply two or more motors, the required
wire size is determined using Code rules. Section 430-24 of the Code states
that the feeder shall have an ampacity of not less than 125 percent of
the full-load current of the highest rated motor of the group plus the
sum of the full-load current ratings of the remaining motors in the group.
The full-load current of the motor is taken from NEC Table 430-150.
The motor with the largest full-load running current is the 25-hp motor.
This motor has a full-load current rating of 68 amperes. The main feeder
size, then, in compliance with Section 430-24, is:
68 x 125% = 85 amperes
Then: 85 + 54 + 28 = 167 amperes.
Table 310-1 6 indicates that No. 4/0 Type TW or Type THHN copper conductors
can be used when using 600 terminations.
Table C1 of Appendix C show that three No. 4/0 TW conductors can be installed
in 2-inch conduit. Three No. 4/0 THHN conductors can be installed in a
2-inch conduit.
Main Feeder Short-Circuit Protection
Section 430-62 (a) states that a feeder which supplies motors shall be
provided with overcurrent protection. The feeder overcurrent protection
shall not be greater than the largest current rating of the branch-circuit
protective device for any motor of the group, based on Table 430-152, plus
the sum of the full-load currents of the other motors of the group.
The branch circuit feeding the 25-hp motor has the largest value of overcurrent
protection. This value, as determined from Table 430-152, is 170 amperes
(68 x 300 or 200 amperes.)
The full-load current rating of the 20-hp motor is 54 amperes, and the
full-load current rating of the 10-hp motor is 28 amperes. The size of
the fuses to be installed in the main feeder circuit shall not be greater
than the sum of 200 + 54 + 28 = 282 amperes.
Therefore, three 250-ampere nontime-delay fuses are used for the feeder
circuit. This procedure should be in conformance with Example 8, section
9 of the Code. Exceptions may be made if the fuses do not allow the motor
to start or run.
Main Disconnecting Means
Section 430-1 09 lists several exceptions to the ruling that the disconnecting
means shall be a motor-circuit switch, rated in horsepower, or a circuit
breaker. The disconnecting means shall have a carrying capacity of at least
115 percent of the sum of the current ratings of the motors, Section 430-110
(c1 and 2). Therefore, the 250 ampere fuses required as the overcurrent
protection for the main feeder are installed in a 400-ampere safety switch.
Wire types and sizes are selected by the ambient temperatures of the place
of installation and the economics of the total installation, such as the
minimum size conduits, cost of the wire sizes, and the cost of the labor
to install the different selections.
SUMMARY
The motor installation is one of the hardest calculations to perform and
get all the components correct, in the proper location, and at the correct
size. The code book guides you through the main components of the calculation
but you must know where to look and how to apply the proper codes. There
are many facets to the correct installation including: feeder and feeder
protection, branch circuit and branch protection, conductor sizes and overcurrent
protection, running overcurrent protection and secondary circuit protection.
REVIEW QUIZ
A feeder circuit feeds three branch motor circuits. Branch motor circuit
No. 1 has a load consisting of an induction motor with the following nameplate
data:
No. 1:
Squirrel-Cage Induction Motor |
230 Volts
3 Phase
5 Horsepower |
15 Amperes
60 Hertz
Code Classification D
Temperature Rating 40° Celsius |
Branch motor circuit No. 2 has a load consisting of an induction motor
with the following nameplate data: (This motor is equipped with an autotransformer
starting compensator.):
No. 2:
Wound-Rotor Induction Motor |
230 Volts
3 Phase
7.5 Horsepower |
40 Amperes
60 Hertz
Code Classification F
Temperature Rating 40° Celsius |
Branch motor circuit No. 3 has a load consisting of a wound-rotor induction
motor with the following nameplate data:
Squirrel-Cage Induction Motor |
230 Volts
3 Phase
15 Horsepower |
22 Stator Amperes
26 Rotor Amperes
60 Hz
Temperature Rating 40° Celsius |
1. Refer to the following diagram.
a. Determine the running overload protection in amperes required for the
motor in branch circuit No. 1.
b. Determine the appropriate wire size (TW). (Insert the answers on the
diagram.)

Fig 21-q1 ASSUME CONNECTIONS FOR CONTROL CIRCUIT HAVE BEEN MADE;
MAGNETIC ACROSS-THE-LINE MOTOR STARTER SWITCH
2. Refer to the following diagram.
a. Determine the running overload protection in amperes required for the
motor in branch circuit No. 2.
b. Determine the appropriate wire size of the copper TW conductors. Note
that the 15-hp squirrel-cage induction motor in this circuit is started
by means of a starting compensator.
(Insert the answers on the diagram.)

Fig. 21-q2
3. Refer to the following diagram.
a. Determine the running overload protection in amperes required for the
motor in branch circuit No. 3.
b. Determine the appropriate wire size of the copper conductors. (Insert
the answers on the diagram.)
c. Determine the size of the conductors required for the secondary circuit
of the wound-rotor induction motor in branch circuit No. 3. The secondary
or rotor circuit feeds between the slip rings of the wound rotor and the
speed controller. Indicate the size of the conduit. Use TW conductors.

Fig. 21-q3
4. Refer to the following diagram.
a. Determine the current rating in amperes of the fuses (nontime-delay)
used as overload protection for the main feeder circuit shown in the diagram.
b. Determine the TW conductor size for the main feeder switch. (Insert
the answers on the diagram.)

Fig. 21-q4
5. Refer to the following diagram.
a. Using 1W-type copper conductors, determine the size of the conductors
and conduit required for the main feeder circuit which feeds the three
branch motor circuits. Indicate the sizes on the diagram.
b. Determine the size of fuses in amperes required for the starting overload
protection for each of the branch circuits.
Motor Circuit No. 1 ______
Motor Circuit No. 2 ______
Motor Circuit No. 3 ______
(Insert the answers on the diagram.)
c. Using 1W-type copper conductors, determine the size of rigid conduit
required for each of the three branch circuits.
Motor Circuit No. 1 _____
Motor Circuit No. 2 _____
Motor Circuit No. 3 _____
(Insert the answers on the diagram.)

Fig. 21-q5
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