start inertia loads

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IEEE TRANSACTIONS ON INDUSTRY APPLICA TIONS, VOL. 37, NO. 1, JANUARY/FEBRUARY 2001 137 Starting High-Inertia Loads Robbie F. McElveen  , Member, IEEE, and Michael K. Toney  , Senior Member, IEEE  Abstract—Common methods used to start ac induction motors driv ing high -iner tia loads incl ude acr oss-the-li ne start ing and re duc ed- vol tage starti ng by autotr ans for me r , wye –de lta, or res istor /re actor . Appl icati on of these methods is gener ally well documented and understood. However, with the increased use of electronic soft starters and variable-fre quency drives, applications can be markedly different. This paper reviews the aforeme ntioned methods and explains the benefits and limitations of each. The effect of high-inertia loads on both acceleration time and motor heating is examined. A case history of starting a centrifuge with an electronic soft starter is studied. Finally, a comparison of all of the methods is presented with recommendations on choosing the proper starter given.  Index Terms— Inertia, motors, soft start, starting, variable-fre- quency drives. I. INTRODUCTION M ANY METHODS are used to reduce the current draw during startup of high-inertia applications such as cen- trifuges, hammermills, or large fans. Reduced current condi- tions are desired not only to lessen the burden on the elec- trical system and avoid power company penalties, but also to dec rea se thestrain on bot h the mot or and the con nec ted me cha n- ical system. This reduction in starting current, howeve r, leads to a corresponding reduction in the starting torque available from the motor. For the purposes of this paper, starting torque is con- sidered to be the average torque produced by the motor which is av ail abl e to acc ele rat e the loa d. Thi s reduct ion in tor que lea ds to longe r accelera tion times and the pote ntia l for incre ased heat ing during startup. The goal of this paper is to evaluate the “con- ventional” methods of starting, to explain how soft starters and variable- frequency drive (VFD) starting works, and to compare each of the methods for temperature rise, acceleration time, and economical considerations. Fir st, a bri ef ov erv ie w of sta rti ng met hod s (in clu din g sof t sta rt and VFD starting) is presented. Next, the effects of inertia on both acceleration time and motor heating are discussed. Com- parisons for starting time, temperature rise, and other factors are made. An actual case history of a soft-started centrifuge is presented, including the problems and solutions associated with this appli cati on. Foll owing this case hist ory , the calculation Paper PID 98–06, presented at the 1997 IEEE Petroleum and Chemical In- dustry Technical Conference, Banff, AB, Canada, September 15–17, and ap- proved for publication in the IEEE T RANSACTIONS ON INDUSTRY APPLICATIONS by the Petroleum and Chemical Industry Committee of the IEEE Industry Ap- plications Society. Manuscript submitted for review September 17, 1997 and released for publication October 15, 1999. R. McElv een was with Reliance Electr ic-Rockwell Automatio n, King s Mountain, NC 28086 USA. He is now with John Deere, Charlotte, NC 28241 USA (e-mail: [email protected]). M. Toney is with Amoco Corporation, Houston, TX 77058 USA (e-mail: [email protected]). Publisher Item Identifier S 0093-9994(01)00280-8. methods used f or both soft sta rt and VFD starting are e xplained. A spe cia l emp has is is pla ced on the mot or los ses and hea tin g for each of these starting methods. Finally , factors which should be considered when choosing a starter are discussed and recom- mendations given. II. METHODS OF STARTING INDUCTION MOTORS Met hod s of sta rti ng ac ind uct ion motors can be bro ke n down into four basic categories: Full-voltage (across-the-line) starting, electromechanical reduced-voltage starting, solid-state reduced-voltage starting, and VFD starting. Electromechanical reduced-voltage starting has been in existence nearly as long as the induction motor itself. This starting method encompasses autotransformer starting, wye–delta (star–delta) starting, and resistor/reactor starting. Each of these methods requires the use of some type of mechanical switch or contact. Electromechan- ical starting is the most common method of reduced voltage starting used in industry today. Solid-state starters, on the other hand, have only been in existence since the early 1970s. This method of starting uses programmable logic controllers in combination with sophis- tica ted power electronic circ uits to prov ide reduced volt age and/or torque. Advances made in the electronics industry with new high-power diodes and SCRs have led to the development of both electronic soft starters as well as inverter controlled VFDs. In each of these cases, smooth, electronically controlled starts can be achieved with a high degree of process control.  A. Full-V oltage (Across-the-Line) Starting Of the many methods used to start induction motors, full- vol tage (or acro ss-t he-li ne) star ting is typi call y used unles s ther e is eith er an elec tric al or mech anica l const raint which makes this option unsuitable. With this method, full voltage is applied to the motor at the instant the “switch” is thrown. This method of starting results in a large initial current surge, known as inrush, which is typically 600% to 700% rms of the full-load current drawn by the motor. In reality, the first half-cycle current is considerably higher in magnitude, but is short in duration. This large inrush can cause proble ms for the connected electrical system. Power companies may apply restrictions as to how much current draw is allowed. These restrictions are typically specified as the maximum allowable voltage drop at the incoming power connection point or the maxi mum allowable kilovolt ampe res that may be drawn by the plant. These restrictions may limit when and how many times a particular motor can be started. By limiting the in- rus h, the cor res pon din g volta ge dro p wil l be red uce d. An- other pro ble m can be wit h in- pla nt bu s cap aci ty whe re the giv en system simp ly cannot handl e this large current dra w. Brownout or other associated problems may be experienced 0093–9994/01$10.00 © 2001 IEEE

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IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, VOL. 37, NO. 1, JANUARY/FEBRUARY 2001 137

Starting High-Inertia LoadsRobbie F. McElveen , Member, IEEE, and Michael K. Toney , Senior Member, IEEE 

 Abstract—Common methods used to start ac induction motors

driving high-inertia loads include across-the-line starting andreduced-voltage starting by autotransformer, wye–delta, orresistor/reactor. Application of these methods is generally welldocumented and understood. However, with the increased use of electronic soft starters and variable-frequency drives, applicationscan be markedly different. This paper reviews the aforementionedmethods and explains the benefits and limitations of each. Theeffect of high-inertia loads on both acceleration time and motorheating is examined. A case history of starting a centrifuge withan electronic soft starter is studied. Finally, a comparison of all of the methods is presented with recommendations on choosing theproper starter given.

  Index Terms—Inertia, motors, soft start, starting, variable-fre-quency drives.

I. INTRODUCTION

MANY METHODS are used to reduce the current draw

during startup of high-inertia applications such as cen-

trifuges, hammermills, or large fans. Reduced current condi-

tions are desired not only to lessen the burden on the elec-

trical system and avoid power company penalties, but also to

decrease the strain on both the motor and the connected mechan-

ical system. This reduction in starting current, however, leads to

a corresponding reduction in the starting torque available from

the motor. For the purposes of this paper, starting torque is con-

sidered to be the average torque produced by the motor which is

available to accelerate the load. This reduction in torque leads to

longer acceleration times and the potential for increased heating

during startup. The goal of this paper is to evaluate the “con-

ventional” methods of starting, to explain how soft starters and

variable-frequency drive (VFD) starting works, and to compare

each of the methods for temperature rise, acceleration time, and

economical considerations.

First, a brief overview of starting methods (including soft start

and VFD starting) is presented. Next, the effects of inertia on

both acceleration time and motor heating are discussed. Com-

parisons for starting time, temperature rise, and other factors

are made. An actual case history of a soft-started centrifuge

is presented, including the problems and solutions associated

with this application. Following this case history, the calculation

Paper PID 98–06, presented at the 1997 IEEE Petroleum and Chemical In-dustry Technical Conference, Banff, AB, Canada, September 15–17, and ap-proved for publication in the IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS

by the Petroleum and Chemical Industry Committee of the IEEE Industry Ap-plications Society. Manuscript submitted for review September 17, 1997 andreleased for publication October 15, 1999.

R. McElveen was with Reliance Electric-Rockwell Automation, KingsMountain, NC 28086 USA. He is now with John Deere, Charlotte, NC 28241USA (e-mail: [email protected]).

M. Toney is with Amoco Corporation, Houston, TX 77058 USA (e-mail:[email protected]).

Publisher Item Identifier S 0093-9994(01)00280-8.

methods used for both soft start and VFD starting are explained.

A special emphasis is placed on the motor losses and heating foreach of these starting methods. Finally, factors which should be

considered when choosing a starter are discussed and recom-

mendations given.

II. METHODS OF STARTING INDUCTION MOTORS

Methods of starting ac induction motors can be broken

down into four basic categories: Full-voltage (across-the-line)

starting, electromechanical reduced-voltage starting, solid-state

reduced-voltage starting, and VFD starting. Electromechanical

reduced-voltage starting has been in existence nearly as long as

the induction motor itself. This starting method encompasses

autotransformer starting, wye–delta (star–delta) starting, andresistor/reactor starting. Each of these methods requires the use

of some type of mechanical switch or contact. Electromechan-

ical starting is the most common method of reduced voltage

starting used in industry today.

Solid-state starters, on the other hand, have only been in

existence since the early 1970s. This method of starting uses

programmable logic controllers in combination with sophis-

ticated power electronic circuits to provide reduced voltage

and/or torque. Advances made in the electronics industry with

new high-power diodes and SCRs have led to the development

of both electronic soft starters as well as inverter controlled

VFDs. In each of these cases, smooth, electronically controlled

starts can be achieved with a high degree of process control.

 A. Full-Voltage (Across-the-Line) Starting

Of the many methods used to start induction motors, full-

voltage (or across-the-line) starting is typically used unless

there is either an electrical or mechanical constraint which

makes this option unsuitable. With this method, full voltage

is applied to the motor at the instant the “switch” is thrown.

This method of starting results in a large initial current surge,

known as inrush, which is typically 600% to 700% rms of 

the full-load current drawn by the motor. In reality, the first

half-cycle current is considerably higher in magnitude, but is

short in duration. This large inrush can cause problems for

the connected electrical system. Power companies may applyrestrictions as to how much current draw is allowed. These

restrictions are typically specified as the maximum allowable

voltage drop at the incoming power connection point or the

maximum allowable kilovoltamperes that may be drawn by

the plant. These restrictions may limit when and how many

times a particular motor can be started. By limiting the in-

rush, the corresponding voltage drop will be reduced. An-

other problem can be with in-plant bus capacity where the

given system simply cannot handle this large current draw.

Brownout or other associated problems may be experienced

0093–9994/01$10.00 © 2001 IEEE

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138 IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, VOL. 37, NO. 1, JANUARY/FEBRUARY 2001

if the voltage dips too much. Furthermore, this inrush current

induces large magnetic forces in the stator windings, which

actually try to force the windings to move and distort. This

transitory force can eventually lead to deterioration of the

insulation between the windings, especially if adequate coil

head bracing techniques are not employed.

Full-voltage starting produces the greatest amount of starting

torque. High starting torque is generally desired when trying tostart a high-inertia load in order to limit the acceleration time.

However, in certain cases, this high starting torque may damage

the mechanical system. Gears or chainsmight be broken or dam-

aged. Strain or slippage may reduce belt life. Gearboxes are also

put under a greater stress and are subject to more abuse. Voltage

drop on the system must be carefully studied and the breaker/re-

lays need to be coordinated with upstream devices to prevent

nuisance tripping of these devices during startup. If the voltage

drop limitation for the system is exceeded, other methods of 

starting should be considered. Beyond the initial shock of in-

rush current and torque, this type of starting does result in a

smooth acceleration characteristic with the shortest acceleration

time, which offers an advantage over some of the other availablemethods of starting.

 B. Electromechanical Reduced-Voltage Starting

Another popular method of starting which is used to limit

inrush current is reduced-voltage starting. With any type of 

reduced-voltage starting, the theoretical current drawn by

the motor decreases linearly with decreasing voltage. (The

exception is VFD starting where the frequency changes as

well as the voltage. This is a special topic and is discussed

more thoroughly in a later section.) Similarly, the torque is

theoretically reduced by the square of the percent voltage ratio,

(i.e., 80% reduced voltage results in (0.8) = 0.64 or 64% of nominal motor torque). Although the motor torque and current

are dependent upon many factors such as saturation, deep bar

effect, and skin effect, a good approximation of the current

and torque at any speed and reduced voltage condition may be

found by using the following equations:

(1)

(2)

where

current at reduced voltage;

rated current;

reduced voltage;

rated voltage;

reduced torque;

rated torque.

 Note that the proportion constants used as exponents in the

above equations are factors developed from locked-rotor satu-

ration testing and areapplicable to the majority of induction mo-

tors.

Electromechanical reduced-voltage starting can be achieved

in the folowing three ways:

1) autotransformer;

2) wye–delta;

3) primary resistor/reactor.

With autotransformer starting, a tapped transformer is used

to supply reduced voltage to the motor. Typically, as the motor

gains speed, the taps are changed to increase the voltage to the

motor terminals. However, this switching of voltage can result

in a high spike of current during this transitory period of opera-

tion. The magnitude of this spike is dependent upon the motor

speed and current when the switching occurs. There is a torque

transient associated withthis current peakwhich again maycauseproblems for the driven equipment. Note that this phenomenon

is notpresent if closedtransitionstartingis used where thecircuit

is neveractuallyopened during the switching operation. One big

advantagefromthe powersystemstandpointisthatthe linecurrent

on the distribution side of the autotransformer is reduced by the

squareof thevoltage ratioat thepowersystem input.Forthe other

methodsmentionedinthissection,thelinecurrentvariesdirectly.

However, autotransformer starting is a more costly method than

eitherwye–deltaorresistor/reactorstarting.

The second type of electromechanical reduced-voltage

starting that is used extensively is wye-start, delta-run. This is

particularly true for motor voltages of less than 1000 V. With

this type of starting method, a normally delta-connected statoris connected in wye during the initial startup phase. It is most

common for the motor to reach full speed before the transition

to the delta connection is made. However, it is possible for

the connection to be switched from wye to delta as the motor

approaches 50%–60% of full-load speed. This essentially

applies full voltage to the motor at this point. The advantage

of connecting the stator in wye is that only times rated

voltage is applied to the phase windings. This results in only

1/3 of nominal current draw, but reduces the starting torque

by a factor of three as well. When the stator connection is

switched from wye to delta, a transitory current arises which

can often be equal to or greater than the peak current seen with

across-the-line starting. Again, this current and resulting torque

transient is present only if open transition is used and is not a

problem for closed transition switching. A drawback of this

method is that it requires the neutrals of the motor, in addition

to the normal line leads, to be externally connected (six leads).

Thus, this starter is not an option for use with a motor that was

originally constructed with only three leads.

Fig. 1(a) and (b) illustrates the relative magnitudes of torque

and current for both wye and delta configurations. Both NEMA

Design B-type and Design C-type motor curves are shown for

comparative purposes. Note the very low amount of torque

available on the wye connection for the Design B characteristic.

This low amount of available starting torque is an importantissue to keep in mind when this type of starting method is being

considered.

Wye-delta starting requires additional contactors in the

starter, which drives up the cost of the equipment. Two cable

runs to the field have to be installed in order to perform

wye-delta switching and starters must be interlocked in order

to prevent catastrophic failure. Again, there is additional heat

generated that must be taken into account at the starter, the

lead cable, and at the motor. This system is relatively simple

to operate, but adjusting the starting characteristics is not an

option once the system is installed. Overload protection needs

to be designed for both the wye and delta connections.

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MCELVEEN AND TONEY: STARTING HIGH-INERTIA LOADS 139

(a)

(b)

Fig. 1. (a) Comparison of torque and amperes for wye and delta connections(NEMA Design B). (b) Comparison of torque and amperes for wye and deltaconnections (NEMA Design C).

Primary resistor/reactor starting is achieved by placing a re-

sistance or inductance in series with the motor leads in order to

reduce the inrush current. The torque is again reduced by the

voltage ratio as shown in (2), while the line current decreases

per (1). Again, when the motor is nearly up to speed, the resistor

or reactor may be switched out of the circuit, causing transitory

currents with their corresponding torque pulsations. Energy is

wasted as heat is dissipated in the resistor during each startup

cycle. Less energy is wasted when using a reactor, but the mag-

nitude can still be significant.

C. Electronic Soft Starting

There are two basic categories of soft-starting methods: cur-

rent-limit starting and voltage-ramp starting. Most of today’s

units offer both options (or various combinations) in one starter

package so that the starting characteristic can be optimized to

provide a more healthy start for both the motor and connected

equipment.

Voltage ramp starting is the simplest form of soft starting

in which a microprocessor is used to control the firing angle

of pairs of SCRs, thus progressively increasing the voltage

supplied to the motor. In order to understand the effect the firing

(a)

(b)

Fig. 2. Waveshapes for 0 and 90 firing angles.

Fig. 3. Voltage waveshape for inductive load (90 firing angle).

angle of the SCRs has on the voltage waveshape and harmonic

content, consider the following example for a single phase

voltage source. Fig. 2 shows the percentage 1st (fundamental),

3rd, 5th, and 7th harmonics for a phased back sine wave. If 

the phased back angle were 90 , the percent content of each

harmonic would be as shown in Fig. 2(a) (% fundamental100) and Fig. 2(b) (% fundamental 58.5; % 3rd 31.7; %

5th 10.7; % 7th 10.5).

Please note that this analysis is only applicable for a resistive

load. Due to the fact that the current lags the voltage for an

inductive load (such as a motor), the voltage waveshape will

be somewhat different. In order to turn off an SCR, the current

through the SCR must pass through zero. The resultant voltage

waveshape will resemble that shown in Fig. 3

Harmonics produce pulsating torques whose net total is zero.

These harmonics contribute to additional losses (heating) in the

motor. Useable motor torque is produced only by the funda-

mental component of the voltage. The usable fundamental com-

ponent of the voltage can be considerably less than the rmsvalue, depending upon the complexity of the circuit used to

fire the SCRs. This factor must be considered when designing a

motor for use with this type of starter.

With voltage ramp starting, it is possible for the user to set the

initial voltage which will be applied at time zero and to specify

the ramp time (how long it will take the voltage to rise from its

initial to final value). By starting the motor at reduced voltage,

starting current and starting torque are reduced, thus lessening

the stress on both the mechanical and the electrical system. This

method of starting results in a smooth acceleration of the load

from zero speed to full-load speed. Fig. 4 shows typical voltage

and current characteristics for a 50-s voltage ramp. Notice how

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140 IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, VOL. 37, NO. 1, JANUARY/FEBRUARY 2001

Fig. 4. Voltage and current characteristics for a typical voltage ramp soft start.

Fig. 5. Acceleration time versus voltage ramp.

the current tends to ramp up at a rate similar to the voltage. Thischaracteristic is due to the fact that the current magnitude does

not decrease dramatically until the motor reaches breakdown

speed. In Fig. 4, breakdown r/min is reached at approximately

48 s.

Figs. 5 and 6 show acceleration times and motor heating re-

sults for various voltage ramps. In each figure, the first three

bars are the calculated data for an initial voltage of 2080, a final

voltage of 4160, and various ramp times from 15 to 60 s. The

full-voltage starting results are also given in column four for

comparison.

The second general type of soft starting is current-limit

starting. In this case, the user can set a predefined maximum

current that will be supplied to the motor (usually given inpercentage of full-load amperes). The starter control circuit

will sense the load current or motor back EMF and alter the

firing angle of the SCRs in order to adjust the voltage at every

point to whatever value is necessary in order to maintain the

current at the desired level. As mentioned before, this reduced

current results in a torque reduction by an exponent of 2.2.

Care must be taken not to set the current limit to a value that

will reduce the starting capability of the motor too much. If this

happens, excessive motor heating will result, which may lead

to premature failure.

Fig. 7 shows typical voltage and current characteristics for a

current-limit-type start. Notice how data from the feedback cir-

Fig. 6. Temperature rises versus voltage ramp.

Fig. 7. Voltage and current characteristics for a typical current limit soft start.

cuit is used to adjust the voltage in order to maintain the current

at a constant level.

Figs. 8 and 9 show acceleration times and motor heating re-sults for various current limits. Fig. 8 demonstrates how the ac-

celeration time increases with decreasing the current limit to

the motor. As less current is supplied to the motor, less starting

torque is produced, which results in increased acceleration time.

Fig. 9 illustrates how both the rotor and stator temperature

rises are affected by decreasing the current limit. Because there

is less available torque under limited current conditions, the ten-

dency is to believe that increased motor heating may result.

However, due to the fact that the current is reduced, both the

rotor and stator losses are decreased. In addition to this

decrease in losses, the acceleration time is extended, allowing

for more of the heat generated to be dissipated to the frame

and surrounding atmosphere. Thus, the reduced current leadsnot to increased heating, but rather to a cooler acceleration for

the motor. However, when implementing any type of reduced

voltage starting the application engineer must be sure not to re-

duce the motor torque to a point which would result in the motor

stalling. In this case, motor damage would be likely to occur.

Electronic soft starters are typically more expensive than the

other starting means discussed previously, but may provide a

lower total cost of ownership over the life of the motor. There are

limitations to the distance that the starters can be installed from

the motor and harmonics do exist as described above. How-

ever, most soft starters are bypassed once the motor reaches full

speed, so exposure to the harmonics is limited.

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MCELVEEN AND TONEY: STARTING HIGH-INERTIA LOADS 141

Fig. 8. Acceleration time versus current limit.

Fig. 9. Rotor and stator temperature rises for various current limits.

 Note that these figures are included to demonstrate typical

characteristics of soft-started loads. Individual data will depend

upon motor design, starting load curve, and load inertia.

  D. VFD Starting

Starting a motor using a VFD provides maximum control

over the starting characteristic. Because the frequency is varied,

the motor operates only on the right side of breakdown on the

speed–torque curve. Thus, any torque value from full load to

breakdown can be achieved across the entire speed range from

zero speed to base speed assuming that the drive has the nec-

essary current capability. The load can be accelerated as slowly

as desired, thus virtually eliminating mechanical stress. Further,

full-voltage inrush is never “seen” by either the motor or the

connected power system. Typically, maximum drive currents are150%–200% of the full-load current. This results in a relatively

long acceleration time due to the fact that the motor will pro-

duce only 150%–200% accelerating torque. However, motors

can generally carry this much current for an extended period of 

time without thermal stress (overheating) becoming a problem.

If faster acceleration times are desired, the drive must be suit-

able to supply higher current during the startup period.

Rotor losses are proportional to the difference in the rota-

tional speed of the rotor and synchronous speed. For inverters,

the motor operates at low slip (near synchronous speed) due to

the fact that the frequency is varied. Thus, the rotor losses as-

sociated with slip speed are dramatically reduced when using

an inverter to start a high-inertia load. This results in relatively

little rotor heating during startup.

The VFD offers the most control for starting any type of 

load. However, the VFD is considerably more expensive than

the other methods discussed and takes up more space than the

other electronic starter option (soft start). The VFD is gener-

ally not bypassed after the motor reaches full speed that in the

past has caused some reliability concerns. However, with the in-creasing dependability of power electronic devices and circuits,

this is becoming less of an issue. Maintenance of the VFD is

more involved, which will add to the life cost of the equipment.

Harmonics and mounting distance from themotor areissues that

must be addressed and can add to the complexity of the installa-

tion. Relay coordination with a VFD is simplified due to the pro-

tection afforded by the electronics and to the controlled starting

of the motor itself.

III. INERTIA AND MOTOR HEATING

Inertia is defined as a body’s resistance to a change in ve-

locity. This velocity can either be linear or rotational in nature.An object’s moment of inertia (commonly referred to as )

istheproductof the weight oftheobject and the squareof the

object’s radius of gyration . The radius of gyration is a mea-

sure of how the object’s mass is distributed about the center of 

rotation and is commonly expressed in units of feet.

The inertia of the given load is a major factor when deter-

mining both theacceleration time andthe motor heating. The ac-

celeration time may be calculated using the following formula:

(3)

where

acceleration time (seconds);

total connected inertia (lb ft );speed change during time (r/min);

308 constant;

average accelerating torque (lb ft) (i.e., average

motor torque average load torque during startup).

The energy, which must be dissipated by the rotor, can found

by calculating the kinetic energy dissipated while accelerating

the given inertia, as shown in

(4)

where

rotor energy during speed interval (kW s)

total connected inertia (lb ft );speed change during given interval (r/min);

synchronous speed (r/min);

average speed during given interval (r/min);

average motor torque during interval (lb ft);

average accelerating torque during given interval

(lb ft).

An alternate method would be to use the equivalent circuit in

order to calculate the total losses in the rotor during startup.

By multiplying these total losses by the acceleration time, the

energy (kW s) can be obtained.

The energy, which is input to the stator, can also be deter-

mined by either of two methods. A simple approach is to use

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142 IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, VOL. 37, NO. 1, JANUARY/FEBRUARY 2001

the ratio of the stator resistance to the rotor resistance as fol-

lows:

(5)

where

stator energy during speed interval (kW s);

ratio of stator to rotor resistance during speed in-terval;

rotor energy during given interval (kW s).

This method can be derived from the motor equivalent circuit,

given that the magnetizing branch is ignored. The losses are

proportional to the relative magnitudes of the rotor and stator

resistances. Thus, once the rotor energy has been calculated, the

stator energy can be easily obtained using (5).

The second method is to calculate the total losses asso-

ciated with the stator windings as shown in

(6)

where

stator losses during speed interval (kW);stator current during speed interval (amperes);

stator resistance during speed interval (ohms).

Again, by multiplying the total stator losses by the accelera-

tion time, the total energy can be obtained.

Once the energy that must be dissipated by both the rotor and

stator has been determined, the corresponding temperature rises

are found by dividing the kW s by the specific heat ( ) of the

material and the total weight of the material. It is important to

note that temperature rises calculated in this fashion are by ab-

sorption only; that is, all the heat is assumed to go into either the

stator windings or rotor bars and no heat dissipation is assumed.

For acceleration times of only a few seconds, this method is sat-

isfactory. For longer acceleration times, the actual temperaturerises will be lower since conduction, convection, and radiation

will dissipate heat. In this case, it is common practice to cor-

rect the calculated temperature rise by applying reduction fac-

tors that have been determined experimentally.

Table I summarizes the acceleration time, locked-rotor

torque, locked rotor amperes, stator rise/start, and rotor

rise/start for each starting method given above. The motor used

in each calculation is a 500-hp TEFC high-torque (Design C)

four-pole 4160-V motor. The load inertia used was 30 000 lb ft

and the load curve was assumed to be linear from 0 to 1800

r/min, with 190 lb ft of torque required at full-load speed.

 Note that Design C-type rotors are not suited for inverter duty

applications due to the harmonic losses and excessive heating inthe small, upper cage. However, this fact has been disregarded

for the sake of comparison. Analyzing starting methods, not

motor design, is the main focus of this paper.

IV. CASE HISTORY (CENTRIFUGE STARTUP)

The load was a chemical plant centrifuge with 30 000 lb ft

of inertia. It was determined that belt slippage and decreased

life would be a problem if some type of reduced voltage/torque

starting was not used. Also, reducing the current draw during

startup would be a benefit. The soft-start manufacturer specified

a motor that would accelerate the centrifuge with a current limit

TABLE IVARIOUS STARTING METHODS SUMMARY

TABLE IITEST DATA SUMMARY

of 225% of full-load amperes. It was critical to be able to calcu-

late the heating that would be experienced by both the rotor and

stator while accelerating this large inertia under reduced torque

conditions.

For this reason, a computer program was developed which

could simulate the torque produced and the current drawn by

the motor at every point during the acceleration time period. By

knowing the torque output of the motor at the reduced current

conditions, the acceleration time and motor heating can be cal-

culated. Using this program, it was determined that the motorwould be suitable to start this load with the specified current

limit without overheating either the rotor or stator. Data was

taken during the actual startup of the motor/load combination

to test the accuracy of the program. Table II summarizes the re-

sults of this startup. Unfortunately, due to plant limitations and

the fact that this was a totally enclosed machine, actual rotor

temperatures could not be recorded.

V. TORQUE EFFICIENCY (TE)

TE has been used in the past to describe a motor’s torque

per ampere ratio. This ratio is a measure of how much output

torque is supplied by a motor for a particular current level. Forexample, if motor A supplies 200% of full load torque at locked

rotor and draws 650% of full-load amperes, its torque efficiency

would be 200/650 = 0.308 or 30.8%. On the other hand, if motor

B supplies the same 200% of full-load torque at locked rotor

and draws only 450% of full load amperes, its torque efficiency

would be 200/450 = 0.444 or 44.4%.

TE can be a major factor when using current limit starting.

Special rotor bar shapes and materials and winding configu-

rations are used to achieve a high TE ratio. A motor with a

higher value of torque efficiency would produce more starting

torque for a given current limit than a motor with a lower TE

value. Thus, if a soft starter were being used on a high-inertia or

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MCELVEEN AND TONEY: STARTING HIGH-INERTIA LOADS 143

heavy-load application, a motor with a high TE ratio may be de-

sired. Design C-type motors generally have a high TE ratio as

compared to Design B-type motors. Some easier applications,

such as pumps and compressors may not need a special high TE

motor. Whether or not a special motor is needed is very appli-

cation dependent.

VFDs offer the highest torque efficiency available. Because

VFDs operate on the right-hand side of breakdown, the torqueproduced is roughly proportionate to the current drawn. For ex-

ample, to produce 150% of full-load torque, only about 150% of 

full-load current is needed. This results in a torque efficiency of 

approximately 150/150 = 1.0 or 100%. For this reason, among

others, VFD starting is the best method when current is limited

and maximum starting torque is required.

VI. METHODS OF CALCULATION

The calculation procedure for both soft starting and inverter

duty starting was implemented utilizing a numerical integration

technique in which the acceleration intervals were broken down

into small sections. Using (3)–(5) and taking into account theharmonics produced by the starter, the calculations were per-

formed for each individual period during acceleration from zero

to full-load speed. Each parameter involved (i.e., losses, accel-

eration times, and heating calculations) was computed for each

of the speed intervals and then totaled to obtain the final result.

By letting these speed intervals approach zero, a very accurate

representation of what is happening during the motor startup is

obtained. As mentioned earlier, the heating calculations were

performed based on absorption only. Empirical factors obtained

from test data were used to correct for dissipation by convec-

tion, radiation, and conduction.

VII. EVALUATIONS AND RECOMMENDATIONS

In order to give a recommendation on which type of starter

is best for use with high-inertia loads, it is necessary to develop

a list of features that are to be considered and also to decide

the importance of each attribute to the final decision. Table III

shows four major factors to be weighed when choosing a starter

for a high-inertia load. In parentheses is the percentage each

factor was weighed in the decision making process. Values from

1 to 5 were assigned to each factor, with a 1 given to the method

considered to be the best option in a given category and a 5 being

given to the least desirable. The final column shows a weighted

average for each of the starting methods. The best possible score

is 1.The motor heating rankings are based upon the relative tem-

perature rises per start for both the rotor and stator using dif-

ferent starting techniques. These temperature rises depend upon

several factors including current/voltage limit and the driven

equipment load curve and inertia. The values given here are

based upon a typical installation.

Adjustable acceleration deals with whether or not the accel-

eration time can be controlled and to what degree. Full-voltage

starters obviously allow for no control and, thus, are ranked

worst in this category. Electromechanical reduced-voltage

starting methods do allow for a minor degree of control (ad-

 justable taps, etc.), but still are relatively fixed in their starting

TABLE IIIRECOMMENDATION SUMMARY

characteristics. Solid-state soft starters and inverters, on the

other hand, allow for virtually unlimited control of the start.

The current limit for the inverter determines the minimum

acceleration time, but the load can be brought up to speed as

slowly as desired. Soft-starter current/voltage limits can be

adjusted as well to either increase or decrease the acceleration

time if desired.

 Note that the weighting factors were chosen to try and match

the importance the industry places on each of these features. If 

the reader places a different value on any of the factors, the table

can be easily modified to fill a specified need.

Obviously, if there are no power company or application re-

strictions, most users will purchase a full voltage starter based

on price alone. Similarly, if variable speed capability is neededan inverter is the only option. However, when reduced voltage is

required for either electrical or mechanical reasons, there are a

few options available. Among the reduced voltage options, elec-

tronic soft-starters appear to be the best choice.

Electronic soft-starters offer the most versatility for their

price and are a very good selection for starting high inertia

loads. The low currents drawn by the motor coupled with the

extended acceleration time lead to relatively low temperature

rises even with very high inertia loads. This low rise is ben-

eficial for both motor reliability and longevity. Many motors

that are used to drive high inertia loads must be sized for

startup temperatures rather than full load operating temper-

ature. When using a soft-starter, the motor design engineermay have the ability to use a smaller motor with less active

material (steel, copper, etc.). The fact that both the voltage and

current are adjustable offers the process engineer a great deal

of flexibility and control over the startup process as well. If 

the process changes for any reason and more starting torque

is required, the current limit of the soft-starter can simply be

adjusted to increase the starting capability. This flexibility is

not readily available with the other reduced-voltage starting

methods discussed. Even though soft starters are somewhat

more expensive than comparable wye–delta starters, work is

being done to bring down their price and make them more cost

competitive. This fact, coupled with the other benefits of soft

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144 IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, VOL. 37, NO. 1, JANUARY/FEBRUARY 2001

starters previously mentioned make them a superb choice for

starting high-inertia loads.

VIII. CONCLUSION

Various methods of starting are available for use with high-

inertia loads. Motor heating, acceleration time, and total cost of 

ownership are allfactors that must be considered when choosinga specific starter for a high-inertia application. No matter which

starting method is used, it is vital that the motor manufacturer

be advised so that the proper design steps can be taken to be

certain that the motor will perform as desired. More work needs

to be done to investigate further the impact that the harmonics

have on both motor heating and usable motor torque. However,

test data show that the program developed for analyzing soft

starters is reasonably accurate for predicting temperatures and

acceleration times for soft-started motors. Using the weighting

factors chosen and based upon the test results, soft starters are

an excellent choice to start high-inertia load applications when

some type of reduced voltage/current is required.

ACKNOWLEDGMENT

The authors wish to thank F. Heredos for his guidance and

technical assistance. Thanks are also extended to J. Koehler for

his help implementing the programs for both the soft-start and

VFD-start calculations.

REFERENCES

[1] W. McMurray, “A comparative study of symmetrical 3-phase circuitsfor phase-controlled a.c. motor drives,” IEEE Trans. Ind. Applicat., vol.IA-10, pp. 403–411, May/June 1974.

[2] “Bulletin 150 application and product guide,” Allen Bradley Company,Richland Center, WI, 1995.

[3] A. N. Eliasen, “High-inertia drive motors and their starting characteris-tics,” IEEE Trans. Power App. Syst., vol. 99, pp. 1472–1482, July/Aug.1980.

[4] J. F. Heidbreder, “Induction motor temperature characteristics,”presented at the AIEE Fall Meeting, 1955, Paper 55-761.

[5] J. H. Dymond, “Stall time, acceleration time, frequency of starting: Themyths and the facts,” presented at the IEEE Petroleum and ChemicalIndustry Technical Conf., 1991, Paper PCIC-91-03.

Robbie F. McElveen (S’93–M’95) received the B.S. and M.S. degrees fromClemson University, Clemson, SC, in 1993 and 1995, respectively, both in elec-trical engineering.

In 1995, he joined the Custom Motors Group, Reliance Electric-RockwellAutomation, King’s Mountain, NC, as a Motor Design Engineer. His primaryresponsibilities included variable-speed motor design, as well as motor designfor high-inertia applications. In 1999, he joined John Deere, Charlotte, NC, asa Project Engineer.

Michael K. Toney (S’68–M’69–SM’97) received the B.S.E.E. degree from

West Virginia Institute of Technology, Montgomery.Hehas been with Amoco Corporationsince1980andis currentlyan ElectricalEngineering Consultant in the AmocoWorldwide Engineering and ConstructionOffice, Houston, TX. He provides electrical expertise and counsel for refining,production, chemical, and pipeline operations. He is the current Vice-Chairmanof the American Petroleum Institute (API) Refining Subcommittee on ElectricalEquipmentand actively participatedin the1997revision of APIRP 500, thenewAPI RP 505, and the 1998 revision of API RP 14F. His present activities includethe Chemical Manufacturers Association alternate representative on Panel 7 of the National Electrical Code, API’s primary representative on NFPA 70E Em-ployee Safety in the Workplace, and API’s primary representative on NFPA 780Lightning Protection.

Mr. Toney is a member of several national and international technical organi-zations, including The International Society for Measurement and Control, Na-tional Fire Protection Association, Association for Facilities Engineering, andInternational Association of Electrical Inspectors. He is also a member of TauBeta Pi.