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ELECTRIC DRIVES INTRODUCTION TO ELECTRIC DRIVES By Musthak Ahmed Shaik Assoc. Prof., EEE Dept., PSCMRCET

ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

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Page 1: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

ELECTRIC DRIVES

INTRODUCTION TO ELECTRIC DRIVES

By

Musthak Ahmed Shaik

Assoc. Prof.,

EEE Dept., PSCMRCET

Page 2: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Electrical Drives

Drives are systems employed for motion control

Require prime movers

Drives that employ electric motors as

prime movers are known as Electrical Drives

Page 3: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Electrical Drives

• About 50% of electrical energy used for drives

• Can be either used for fixed speed or variable speed

• 75% - constant speed, 25% variable speed (expanding)

• MEP 1523 will be covering variable speed drives

Page 4: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

Example on VSD application

motor pump

valve

Supply

Constant speed Variable Speed Drives

Power

In

Power lossMainly in valve

Power out

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Page 5: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

Example on VSD application

motor pump

valve

Supply

motorPEC pump

Supply

Constant speed Variable Speed Drives

Power

In

Power loss

Power out

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Power lossMainly in valve

Power outPower

In

Page 6: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

Power lossMainly in valve

Power out

motor pump

valve

Supply

motorPEC pump

Supply

Constant speed Variable Speed Drives

Example on VSD application

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Power

In

Power loss

Power

In

Power out

Page 7: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Conventional electric drives (variable speed)

• Bulky

• Inefficient

• inflexible

Page 8: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Modern electric drives (With power electronic converters)

• Small

• Efficient

• Flexible

Page 9: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Modern electric drives

• Inter-disciplinary

• Several research area

• Expanding

Machine design

Speed sensorless

Machine Theory

Non-linear control

Real-time control

DSP application

PFC

Speed sensorless

Power electronic converters

Utility interface

Renewable energy

Page 10: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Components in electric drives

Motors

• DC motors - permanent magnet – wound field

• AC motors – induction, synchronous (IPMSM, SMPSM),

brushless DC

• Applications, cost, environment

• Natural speed-torque characteristic is not compatible with load

requirements

Power sources

• DC – batteries, fuel cell, photovoltaic - unregulated

• AC – Single- three- phase utility, wind generator - unregulated

Power processor

• To provide a regulated power supply

• Combination of power electronic converters

• More efficient

• Flexible

• Compact

• AC-DC DC-DC DC-AC AC-AC

Page 11: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Components in electric drives

Control unit

• Complexity depends on performance requirement

• analog- noisy, inflexible, ideally has infinite bandwidth.

• digital – immune to noise, configurable, bandwidth is smaller than

the analog controller’s

• DSP/microprocessor – flexible, lower bandwidth - DSPs perform

faster operation than microprocessors (multiplication in single

cycle), can perform complex estimations

• Electrical isolation between control circuit and power circuit is

needed:

• Malfuction in power circuit may damage control circuit

• Safety for the operator

• Avoid conduction of harmonic to control circuit

Page 12: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Components in electric drives

Sensors

• Sensors (voltage, current, speed or torque) is normally

required for closed-loop operation or protection

• Electrical isolation between sensors and control circuit is

needed for the reasons previously explained

• The term ‘sensorless drives’ is normally referred to the

drive system where the speed is estimated rather than

measured.

Page 13: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Overview of AC and DC drives

Extracted from Boldea & Nasar

Page 14: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Overview of AC and DC drives

DC motors: Regular maintenance, heavy, expensive, speed limit

Easy control, decouple control of torque and flux

AC motors: Less maintenance, light, less expensive, high speed

Coupling between torque and flux – variable

spatial angle between rotor and stator flux

Page 15: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Overview of AC and DC drives

Before semiconductor devices were introduced (<1950)

• AC motors for fixed speed applications

• DC motors for variable speed applications

After semiconductor devices were introduced (1950s)

• Variable frequency sources available – AC motors in variable

speed applications

• Coupling between flux and torque control

• Application limited to medium performance applications –

fans, blowers, compressors – scalar control

• High performance applications dominated by DC motors –

tractions, elevators, servos, etc

Page 16: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Overview of AC and DC drives

After semiconductor devices were introduced (1950s)

Page 17: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Overview of AC and DC drives

After vector control drives were introduced (1980s)

• AC motors used in high performance applications – elevators,

tractions, servos

• AC motors favorable than DC motors – however control is

complex hence expensive

• Cost of microprocessor/semiconductors decreasing –predicted

30 years ago AC motors would take over DC motors

Page 18: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Classification of IM drives (Buja, Kamierkowski, “Direct torque control of PWM inverter-fed AC motors - a survey”,

IEEE Transactions on Industrial Electronics, 2004.

Page 19: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Elementary principles of mechanics

M

v

Fm

Ff

dt

MvdFF fm

Newton’s law

Linear motion, constant M

• First order differential equation for speed

• Second order differential equation for displacement

Ma

dt

xdM

dt

vdMFF

2

2

fm

x

Page 20: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Elementary principles of mechanics

• First order differential equation for angular frequency (or velocity)

• Second order differential equation for angle (or position)

2

2m

ledt

dJ

dt

dJTT

With constant J,

Rotational motion

- Normally is the case for electrical drives

dt

JdTT m

le

Te , m

Tl

J

Page 21: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

dt

dJTT m

le

For constant J,

dt

dJ m Torque dynamic – present during speed transient

dt

d m Angular acceleration

Larger net torque and smaller J gives faster acceleration

0.19 0.2 0.21 0.22 0.23 0.24 0.25-200

-100

0

100

200

speed (

rad/s

)

0.19 0.2 0.21 0.22 0.23 0.24 0.25

0

5

10

15

20

torq

ue (

Nm

)

Elementary principles of mechanics

Page 22: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Elementary principles of mechanics

A drive system that require fast acceleration must have

• small overall moment of inertia

• large motor torque capability

As the motor speed increases, the kinetic energy also increases.

During deceleration, the dynamic torque changes its sign and thus

helps motor to maintain the speed. This energy is extracted from the

stored kinetic energy:

J is purposely increased to do this job !

Page 23: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Elementary principles of mechanics

dt

vdMFF le

Combination of rotational and translational motions

r r

Te,

Tl

Fl Fe

v

M

Te = r(Fe), Tl = r(Fl), v =r

dt

dMrTT 2

le

r2M - Equivalent moment inertia of the

linearly moving mass

Page 24: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Elementary principles of mechanics – effect of gearing

Motors designed for high speed are smaller in size and volume

Low speed applications use gear to utilize high speed motors

Motor

Te

Load 1,

Tl1

Load 2,

Tl2J1

J2

mm1

m2

n1

n2

Page 25: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Motor

Te

Load 1,

Tl1

Load 2,

Tl2J1

J2

mm1

m2

n1

n2

Motor

Te

Jequ

Equivalent

Load , Tlequ

m2

2

21equ JaJJ

Tlequ = Tl1 + a2Tl2

a2 = n1/n2=2/1

Elementary principles of mechanics – effect of gearing

Page 26: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Motor steady state torque-speed characteristic (natural

characteristic)

Synchronous mch

Induction mch

Separately / shunt DC mch

Series DC

SPEED

TORQUE

By using power electronic converters, the motor characteristic

can be change at will

Page 27: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Load steady state torque-speed characteristic

SPEED

TORQUE

Frictional torque (passive load) • Exist in all motor-load drive

system simultaneously

• In most cases, only one or two

are dominating

• Exists when there is motion

T~ C

Coulomb friction

T~

Viscous friction

T~ 2

Friction due to turbulent flow

Page 28: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

TL

Te

Vehicle drive

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Load steady state torque-speed characteristic

Constant torque, e.g. gravitational torque (active load)

SPEED

TORQUE

Gravitational torque

gM

FL

TL = rFL = r g M sin

Page 29: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Load steady state torque-speed characteristic

Hoist drive

Speed

Torque

Gravitational torque

Page 30: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Load and motor steady state torque

At constant speed, Te= Tl

Steady state speed is at point of intersection between Te and Tl of the

steady state torque characteristics

TlTe

Steady state

speed

r

Torque

Speedr2r3

r1

Page 31: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Torque and speed profile

10 25 45 60 t (ms)

speed

(rad/s)

100

The system is described by: Te – Tload = J(d/dt) + B

J = 0.01 kg-m2, B = 0.01 Nm/rads-1 and Tload = 5 Nm.

What is the torque profile (torque needed to be produced) ?

Speed profile

Page 32: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Torque and speed profile

10 25 45 60 t (ms)

speed

(rad/s)

100

0 < t <10 ms Te = 0.01(0) + 0.01(0) + 5 Nm = 5 Nm

10ms < t <25 ms Te = 0.01(100/0.015) +0.01(-66.67 + 6666.67t) + 5

= (71 + 66.67t) Nm

25ms < t< 45ms Te = 0.01(0) + 0.01(100) + 5 = 6 Nm

45ms < t < 60ms Te = 0.01(-100/0.015) + 0.01(400 -6666.67t) + 5

= -57.67 – 66.67t

le TBdt

dJT

Page 33: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Torque and speed profile

10 25 45 60

speed

(rad/s)

100

10 25 45 60

Torque

(Nm)

72.67

71.67

-60.67

-61.67

56

t (ms)

t (ms)

Speed profile

torque profile

Page 34: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Torque and speed profile

10 25 45 60

Torque

(Nm)

70

-65

6

t (ms)

For the same system and with the motor torque profile

given above, what would be the speed profile?

J = 0.001 kg-m2, B = 0.1 Nm/rads-1

and Tload = 5 Nm.

Page 35: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Unavoidable power losses causes temperature increase

Insulation used in the windings are classified based on the

temperature it can withstand.

Motors must be operated within the allowable maximum temperature

Sources of power losses (hence temperature increase):

- Conductor heat losses (i2R)

- Core losses – hysteresis and eddy current

- Friction losses – bearings, brush windage

Page 36: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Electrical machines can be overloaded as long their temperature

does not exceed the temperature limit

Accurate prediction of temperature distribution in machines is

complex – hetrogeneous materials, complex geometrical shapes

Simplified assuming machine as homogeneous body

p2p1

Thermal capacity, C (Ws/oC)

Surface A, (m2)

Surface temperature, T (oC)Input heat power

(losses)

Emitted heat power

(convection)

Ambient temperature, To

Page 37: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Power balance:

21 ppdt

dTC

Heat transfer by convection:

)TT(Ap o2

C

pT

C

A

dt

Td 1

Which gives:

/th e1A

pT

A

C

, where

With T(0) = 0 and p1 = ph = constant ,

, where is the coefficient of heat transfer

Page 38: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

t

T

t

/te)0(TT

T

/th e1A

pT

Heating transient

Cooling transient

A

ph

)0(T

Page 39: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

The duration of overloading depends on the modes of operation:

Continuous duty

Short time intermittent duty

Periodic intermittent duty

Continuous duty

Load torque is constant over extended period multiple

Steady state temperature reached

Nominal output power chosen equals or exceeds continuous load

T

t

A

p n1

p1n

Losses due to continuous load

Page 40: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Short time intermittent duty

Operation considerably less than time constant,

Motor allowed to cool before next cycle

Motor can be overloaded until maximum temperature reached

Page 41: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

t1

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Short time intermittent duty

A

p s1

maxTA

p n1

t

T

p1

p1n

p1s

Page 42: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

t1

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Short time intermittent duty

t

T

/ts1 e1A

pT

maxTA

p n1

/ts1n1 1e1A

p

A

p

/t

s1n11e1pp

1

/t

n1

s1

te1

1

p

p1

Page 43: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Periodic intermittent duty

Load cycles are repeated periodically

Motors are not allowed to completely cooled

Fluctuations in temperature until steady state temperature is reached

Page 44: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Periodic intermittent duty

p1

t

heating coollingcoolling

coolling

heating

heating

Page 45: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Periodic intermittent duty

Example of a simple case – p1 rectangular periodic pattern

pn = 100kW, nominal power

M = 800kg

= 0.92, nominal efficiency

T= 50oC, steady state temperature rise due to pn

kW911

pp n1

Also, C/W180

50

9000

T

pA o1

If we assume motor is solid iron of specific heat cFE=0.48 kWs/kgoC,

thermal capacity C is given by

C = cFE M = 0.48 (800) = 384 kWs/oC

Finally , thermal time constant = 384000/180 = 35 minutes

Page 46: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Thermal considerations

Periodic intermittent duty

Example of a simple case – p1 rectangular periodic pattern

For a duty cycle of 30% (period of 20 mins), heat losses of twice the nominal,

0 0.5 1 1.5 2 2.5

x 104

0

5

10

15

20

25

30

35

Page 47: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Torque-speed quadrant of operation

T

12

3 4

T +ve

+ve

Pm +ve

T -ve

+ve

Pm -ve

T -ve

-ve

Pm +ve

T +ve

-ve

Pm -ve

Page 48: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

4-quadrant operation

m

Te

Te

m

Te

m

Te

m

T

• Direction of positive (forward)

speed is arbitrary chosen

• Direction of positive torque will

produce positive (forward) speed

Quadrant 1

Forward motoringQuadrant 2

Forward braking

Quadrant 3

Reverse motoring

Quadrant 4

Reverse braking

Page 49: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Ratings of converters and motors

Torque

Speed

Power limit for

continuous torque

Continuous

torque limit

Maximum

speed limit

Power limit for

transient torque

Transient

torque limit

Page 50: ELECTRIC DRIVES...INTRODUCTION TO ELECTRIC DRIVES - MODULE 1 Electrical Drives • About 50% of electrical energy used for drives • Can be either used for fixed speed or variable

INTRODUCTION TO ELECTRIC DRIVES - MODULE 1

Steady-state stability