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CHAPTER 1:
ELECTRICAL DRIVES
By
Mr. Harshal Vaidya
Assistant Professor
Department of Electrical Engineering
DIT, Pune
Definition of Electrical Drives
 Drives – system employed
for motion control
 Motion control requires
prime movers
 Electrical Drives – Drives
that employ Electric Motors
as prime movers Electrical Drives -> Electric
Motor as Prime Mover
Prime Mover
Drives -> Motion Control
2
Advantages of Electrical Drives
 Flexible control characteristic
 particularly when power electronic converters are employed
 Wide range of speed, torque and power
 High efficiency – low no load losses
 Low noise
 Low maintenance requirements, cleaner operation
 Electric energy easily transported
 Adaptable to most operating conditions
 Available operation in all four torque-speed quadrants
3
Conventional Electric Drives
 Ward-Leonard system –
introduced in 1890s
 Disadvantage :
 Bulky
 Expensive
 Inefficient
 Complex
4
Modern Electric Drives
 Small (compact)
 Efficient
 Flexible
 Interdisciplinary
5
feedback
Electric Drives Application
 Line Shaft Drives
 Oldest form
 Single motor,
multiple loads
 Common line
shaft or belt
 Inflexible
 Inefficient
 Rarely used
6
Electric Drives Application
 Single-Motor, Single-
Load Drives
 Most common
 Eg: electric saws, drills,
fans, washers, blenders,
disk-drives, electric cars.
7
Electric Drives Application
 Multi-motor
Drives
 Several motors,
single
mechanical
load
 Complex drive
functions
 Eg: assembly
lines, robotics,
military
airplane
actuation.
8
Basic Components of Electric Drives
 Power Source
 Motor
 Power Processing Unit (Electronic Converter)
 Control Unit
 Mechanical Load
9
feedback
Basic Components of Electric Drives -
Motor
• Obtain power from electrical sources
• DC motors - Permanent Magnet or wound-field (shunt,
separately excited, compound, series)
• AC motors – Induction, Synchronous (wound –rotor, IPMSM,
SPMSM), brushless DC
• Selection of machines depends on many factors, e.g.:
10
Electrical
energy
Mechanical
energy
Motor
• application
• cost
• efficiency
• environment
• type of source available
Basic Components of Electric Drives –
Power Source
• Provides energy to electric motors
• Regulated (e.g: utility) or Unregulated (e.g. : renewable energy)
• Unregulated power sources must be regulated for high efficiency – use
power electronic converters
• DC source
• batteries
• fuel cell
• photovoltaic
• AC source
• single- or three- phase utility
• wind generator
11
Basic Components of Electric Drives –
Power Processing Unit
• Provides a regulated power supply to motor
• Enables motor operation in reverse, braking and variable speeds
• Combination of power electronic converters
 Controlled rectifiers, inverters –treated as ‘black boxes’ with certain
transfer function
 More efficient – ideally no losses occur
 Flexible - voltage and current easily shaped through
switching control
 Compact
Several conversions possible: AC-DC , DC-DC, DC-AC, AC-AC
12
Basic Components of Electric Drives –
Power Processing Unit
 DC to AC:
13
Basic Components of Electric Drives –
Power Processing Unit
 DC to DC:
14
Basic Components of Electric Drives –
Power Processing Unit
 AC to DC:
15
Basic Components of Electric Drives –
Power Processing Unit
 AC to AC:
16
Basic Components of Electric Drives –
Control Unit
• Supervise operation
• Enhance overall performance and stability
• Complexity depends on performance requirement
• Analog Control – noisy, inflexible, ideally infinite bandwidth
• Digital Control – immune to noise, configurable, smaller
bandwidth (depends on sampling frequency)
• DSP/microprocessor – flexible, lower bandwidth, real-time
• DSPs perform faster operation than microprocessors
(multiplication in single cycle), complex estimations and
observers easily implemented
17
Basic Components of Electric Drives
– Component Selection
• Several factors affecting drive selection:
• Steady-state operation requirements
• nature of torque-speed profile, speed regulation, speed range, efficiency,
quadrants of operations, converter ratings
• Transient operation requirements
• values of acceleration and deceleration, starting, braking and reversing
performance
• Power source requirements
• Type, capacity, voltage magnitude, voltage fluctuations, power factor, harmonics
and its effect on loads, ability to accept regenerated power
• Capital & running costs
• Space and weight restrictions
• Environment and location
• Efficiency and reliability
18
DC or AC Drives?
DC Drives
AC Drives
(particularly Induction Motor)
Motor • requires maintenance
• heavy, expensive
• limited speed (due to mechanical
construction)
• less maintenance
• light, cheaper
• high speeds achievable (squirrel-
cage IM)
• robust
Control Unit Simple & cheap control even for
high performance drives
• decoupled torque and flux
control
• Possible implementation using
single analog circuit
Depends on required drive
performance
• complexity & costs increase with
performance
• DSPs or fast processors required in
high performance drives
Performance Fast torque and flux control Scalar control – satisfactory in some
applications
Vector control – similar to DC drives
19
Torque Equation for Rotating Systems
 Motor drives a load through a transmission system (eg. gears,
V-belts, crankshaft and pulleys)
 Load may rotate or undergo translational motion
 Load speed may be different from motor speed
 Can also have multiple loads each having different speeds,
some may rotate and some have translational motion
20
Motor Load
Te , m TL
Represent motor-
load system as
equivalent
rotational system
Torque Equation for Rotating Systems
21
• First order differential equation for angular frequency (or velocity)
• Second order differential equation for angle (or position)
 
2
2
dt
d
J
dt
d
J
T
T m
L
e





With constant inertia J,
 
dt
J
d
T
T m
L
e




Te , m
TL
Torque equation for equivalent motor-load system:
where:
J = inertia of equivalent motor-load system, kgm2
m = angular velocity of motor shaft, rads-1
Te = motor torque, Nm
TL = load torque referred to motor shaft, Nm
(1)
(2)
Torque Equation for Rotating Systems
with Gears
 Low speed applications
use gears to utilize high
speed motors
 Motor drives two loads:
 Load 1 coupled
directly to motor
shaft
 Load 2 coupled via
gear with n and n1
teeth
 Need to obtain
equivalent motor-load
system
22
Motor
Te
Load 1,
TL0
Load 2,
TL1
J0
J1
m
m
m1
n
n1
TL
0 TL1
Motor
Te
J
Equivalent
Load , TL
m
TL
Torque Equation for Rotating Systems
with Gears
 Gear ratio a1 =
 Neglecting losses in the transmission:
 Hence, equivalent motor-load inertia J is:
23
Kinetic energy due
to equivalent inertia
=  kinetic energy of moving parts
1
2
1
0 J
a
J
J 

(3)
(4)
Torque Equation for Rotating Systems
with Gears
 If 1 = transmission efficiency of the gears:
 Hence, equivalent load torque TL is:
24
Power of the equivalent
motor-load system
=  power at the loads
1
1
1
0

L
L
L
T
a
T
T 
 (5)
Torque Equation for Rotating Systems
with Belt Drives
 By neglecting slippage,
equations (4) and (5) can
still be used.
 However,
where:
Dm = diameter of wheel driven by
motor
DL = diameter of wheel mounted
on load shaft
25
L
m
D
D
a 
1 (6)
Torque Equation for Rotating Systems
with Translational Motion
 Motor drives two loads:
 Load 1 coupled
directly to motor
shaft
 Load 2 coupled
via transmission
system converting
rotational to
linear motion
 Need to obtain
equivalent motor-load
system
26
Motor
Te
J
Equivalent
Load , TL
m
TL
Torque Equation for Rotating Systems
with Translational Motion
 Neglecting losses in the transmission:
 Hence, equivalent motor-load inertia J is:
27
Kinetic energy due
to equivalent inertia
=  kinetic energy of moving parts
2
1
1
0 









m
v
M
J
J

(7)
Torque Equation for Rotating Systems
with Translational Motion
 If 1 = transmission efficiency of the transmission
system:
 Hence, equivalent load torque TL is:
28
Power of the equivalent
motor-load system
=  power at the loads and motor










m
L
L
v
F
T
T


1
1
1
0
(8)
Relation between Translational and
Rotational Motions
 The relationship between the torques and linear forces are:
 Relationship between linear and angular velocity:
 Hence, assuming the mass M is constant:
29
1
1 rF
T  m
m rF
T 

r
v 
dt
dv
M
F
Fm 
 1
dt
d
Mr
T
Tm

2
1 

Components of Load Torque
• Load torque can be divided into:
• Friction torque – present at motor shaft and in various parts of
load.
• Viscous friction torque TV – varies linearly with speed (Tv
 m). Exists in lubricated bearings due to laminar flow of
lubricant
• Coulomb friction torque TC – independent of speed. Exists in
bearings, gears coupling and brakes.
• Windage torque Tw – exists due to turbulent flow of air or liquid.
• Varies proportional to speed squared (Tw  m
2).
• Mechanical Load Torque TL - torque to do useful mechanical
work.
30
Mechanical Load Torque
• Torque to do useful mechanical work TL –
depends on application.
• Load torque is function of speed
• where k = integer or fraction
• Mechanical power of load:
• and
31
k
m
L
T 

m
L
T
P 
 m
m n
60
2
 
Angular speed
in rad/s
Speed
in rpm
Torque-Speed Characteristics of
Load
32
1) Torque independent of speed
2) Linear rising Torque-Speed
3) Non-Linear rising Torque-Speed
4) Non-Linear falling Torque-Speed
Mechanical Load Torque
 Torque independent
of speed , k = 0
 Hoist
 Elevator
 Pumping of water
or gas against
constant pressure
33
Mechanical Load Torque
 Torque
proportional to
square of speed ,
k = 2
Fans
Centrifugal
pumps
Propellers
34
Mechanical Load Torque
 Torque inversely
proportional to
speed , k = -1
Milling
machines
Electric drill
Electric saw
35
Classification of Electrical Drives
36
• Group Drive(Shaft Drive)
• Individual Drive
• Multi-Motor Drive
Classification of Electrical Drives
37
Group Drive(Shaft Drive)
“If Several groups of Mechanisms or Machines are organized on one
shaft & driven by one motor, the system is called a group drive (Shaft
Drive)”
Disadvantages
• There is no flexibility, Addition of an extra machine to the main shaft is
difficult.
• The efficiency of the drive is low, because of the losses occurring in
several transmitting mechanisms.
• The complete drive system requires shutdown if the motor, requires
servicing or repair.
• The system is not very safe to operate
• The noise level at the work spot is very high.
Classification of Electrical Drives
38
Individual Drive
“If a single motor is used to drive a given mechanism &
it does all the jobs connected with load, the drive is
called an individual drive”
Examples
• Single Spindle drilling machine
• Lathe machines
Classification of Electrical Drives
39
Multi-Motor Drive
“In a Multi-Motor drive, each operation of the mechanism is
taken care of by a separate drive motor. The system contains
several individual drives, each of which is used to operate its
own mechanism”
Examples
• Metal cutting machine tool
• Rolling mills
• Travelling cranes
Dynamic Conditions of a
drive system
40
• Dynamic conditions occur in a electric drive system
when operating point changes from one steady state
condition to another, following a change introduced in
the system variables. This variables may be mechanical
such as speed, torque etc. or electrical such as
voltage, current etc.
• These conditions generally exist during starting,
braking and speed reversal of the drive.
• The dynamic conditions arise in a variable speed drive
when transition from one speed to another is required.
Dynamic Conditions of a
drive system
41
• The drive may also have transient behavior if there are
sudden changes of load, supply, voltage or frequency.
• The dynamic behavior of a drive has a close relation
to its stability. A drive is said to be stable if it can go
from one state of equilibrium to another following a
disturbance in one of the parameters of the system.
• Stability can be identified as either steady-state or
transient.
Dynamic Conditions of a drive
system
42
• The condition of stability depend on the operating
point.
The dynamics of the drive can be investigated using
the Torque balanceequation given by
Dynamic Conditions of a drive system
43
Dynamic Conditions of a drive system
44
Dynamic Conditions of a drive
system
45
Dynamic Conditions of a drive
system
46
Dynamic Conditions of a drive system
47
The load torque occurring in mechanical system may be
Passiveoractive.
Passive torque
If the torque always opposes the direction of motion of
drive motor it is called a passive torque.
Active torque
Load torque which have the potential to drive the motor
under equilibrium condition are called active load
torque.
Motor T- characteristic – variation of motor torque with speed
with all other variables (voltage and frequency) kept constant.
Loads will have their own T- characteristics.
Steady State Operating Speed
48
Synchronous motor
Induction motor
Separately excited
/ shunt DC motor
Series DC motor
SPEED
TORQUE
Steady State Operating Speed
• At constant
speed, Te= TL
• Steady state
speed is at point
of intersection
between Te and
TL of the steady
state torque
characteristics
49
TL
Te
Steady state
Speed, r
Torque
Speed
r2
r3
r1
By using power electronic converters, the
motor characteristic can be varied
Steady State Stability
 Drives operate at steady-state speed (when Te = TL) only
if the speed is of stable equilibrium.
 A disturbance in any part of drive causes system speed to
depart from steady-state point.
 Steady-state speed is of stable equilibrium if:
 system will return to stable equilibrium speed when
subjected to a disturbance
 Steady-state stability evaluated using steady-state T-
characteristic of motor and load.
 Condition for stable equilibrium:
50
m
e
m
L
d
dT
d
dT


 (9)
Steady State Stability
 Assume a disturbance causes speed drop to r’
 At the new speed r’,
51
Te’ > TL’
motor accelerates
operation restored to steady-state
point
Steady-state speed is of
stable equilibrium
Te TL
Steady-state point A
at speed = r
r
r’
Te’
TL’
m
T
m
e
m
L
d
dT
d
dT



 
dt
d
J
T
T m
L
e



Evaluated using steady-state T-
characteristic of motor and load.
Steady State Stability
 Let’s look at a different condition!
 Assume a disturbance causes speed drop to r’
 At the new speed r’,
52
Te’ < TL’
motor decelerates
operation point moves away
from steady-state point
Point B is at UNSTABLE
equilibrium
Te
TL
Steady-state point B
at speed = r
r
r’
TL’
Te’
m
T
m
e
m
L
d
dT
d
dT



 
dt
d
J
T
T m
L
e



Torque-Speed Quadrant of Operation
53
•Direction of positive
(forward) speed is
arbitrary chosen
•Direction of positive
torque will produce
positive (forward)
speed
m
Te
Te
m
Te
m
Te
m

T
Quadrant 1
Forward motoring
Quadrant 2
Forward braking
Quadrant 3
Reverse motoring
Quadrant 4
Reverse braking
P = +ve
P = -ve
P = -ve
P = +ve
m
e
T
P 

Electrical energy
Mechanical energy
MOTOR
P = + ve
54
55
56
57
58

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Chapter 1-Electrical Drives.pptx

  • 1. CHAPTER 1: ELECTRICAL DRIVES By Mr. Harshal Vaidya Assistant Professor Department of Electrical Engineering DIT, Pune
  • 2. Definition of Electrical Drives  Drives – system employed for motion control  Motion control requires prime movers  Electrical Drives – Drives that employ Electric Motors as prime movers Electrical Drives -> Electric Motor as Prime Mover Prime Mover Drives -> Motion Control 2
  • 3. Advantages of Electrical Drives  Flexible control characteristic  particularly when power electronic converters are employed  Wide range of speed, torque and power  High efficiency – low no load losses  Low noise  Low maintenance requirements, cleaner operation  Electric energy easily transported  Adaptable to most operating conditions  Available operation in all four torque-speed quadrants 3
  • 4. Conventional Electric Drives  Ward-Leonard system – introduced in 1890s  Disadvantage :  Bulky  Expensive  Inefficient  Complex 4
  • 5. Modern Electric Drives  Small (compact)  Efficient  Flexible  Interdisciplinary 5 feedback
  • 6. Electric Drives Application  Line Shaft Drives  Oldest form  Single motor, multiple loads  Common line shaft or belt  Inflexible  Inefficient  Rarely used 6
  • 7. Electric Drives Application  Single-Motor, Single- Load Drives  Most common  Eg: electric saws, drills, fans, washers, blenders, disk-drives, electric cars. 7
  • 8. Electric Drives Application  Multi-motor Drives  Several motors, single mechanical load  Complex drive functions  Eg: assembly lines, robotics, military airplane actuation. 8
  • 9. Basic Components of Electric Drives  Power Source  Motor  Power Processing Unit (Electronic Converter)  Control Unit  Mechanical Load 9 feedback
  • 10. Basic Components of Electric Drives - Motor • Obtain power from electrical sources • DC motors - Permanent Magnet or wound-field (shunt, separately excited, compound, series) • AC motors – Induction, Synchronous (wound –rotor, IPMSM, SPMSM), brushless DC • Selection of machines depends on many factors, e.g.: 10 Electrical energy Mechanical energy Motor • application • cost • efficiency • environment • type of source available
  • 11. Basic Components of Electric Drives – Power Source • Provides energy to electric motors • Regulated (e.g: utility) or Unregulated (e.g. : renewable energy) • Unregulated power sources must be regulated for high efficiency – use power electronic converters • DC source • batteries • fuel cell • photovoltaic • AC source • single- or three- phase utility • wind generator 11
  • 12. Basic Components of Electric Drives – Power Processing Unit • Provides a regulated power supply to motor • Enables motor operation in reverse, braking and variable speeds • Combination of power electronic converters  Controlled rectifiers, inverters –treated as ‘black boxes’ with certain transfer function  More efficient – ideally no losses occur  Flexible - voltage and current easily shaped through switching control  Compact Several conversions possible: AC-DC , DC-DC, DC-AC, AC-AC 12
  • 13. Basic Components of Electric Drives – Power Processing Unit  DC to AC: 13
  • 14. Basic Components of Electric Drives – Power Processing Unit  DC to DC: 14
  • 15. Basic Components of Electric Drives – Power Processing Unit  AC to DC: 15
  • 16. Basic Components of Electric Drives – Power Processing Unit  AC to AC: 16
  • 17. Basic Components of Electric Drives – Control Unit • Supervise operation • Enhance overall performance and stability • Complexity depends on performance requirement • Analog Control – noisy, inflexible, ideally infinite bandwidth • Digital Control – immune to noise, configurable, smaller bandwidth (depends on sampling frequency) • DSP/microprocessor – flexible, lower bandwidth, real-time • DSPs perform faster operation than microprocessors (multiplication in single cycle), complex estimations and observers easily implemented 17
  • 18. Basic Components of Electric Drives – Component Selection • Several factors affecting drive selection: • Steady-state operation requirements • nature of torque-speed profile, speed regulation, speed range, efficiency, quadrants of operations, converter ratings • Transient operation requirements • values of acceleration and deceleration, starting, braking and reversing performance • Power source requirements • Type, capacity, voltage magnitude, voltage fluctuations, power factor, harmonics and its effect on loads, ability to accept regenerated power • Capital & running costs • Space and weight restrictions • Environment and location • Efficiency and reliability 18
  • 19. DC or AC Drives? DC Drives AC Drives (particularly Induction Motor) Motor • requires maintenance • heavy, expensive • limited speed (due to mechanical construction) • less maintenance • light, cheaper • high speeds achievable (squirrel- cage IM) • robust Control Unit Simple & cheap control even for high performance drives • decoupled torque and flux control • Possible implementation using single analog circuit Depends on required drive performance • complexity & costs increase with performance • DSPs or fast processors required in high performance drives Performance Fast torque and flux control Scalar control – satisfactory in some applications Vector control – similar to DC drives 19
  • 20. Torque Equation for Rotating Systems  Motor drives a load through a transmission system (eg. gears, V-belts, crankshaft and pulleys)  Load may rotate or undergo translational motion  Load speed may be different from motor speed  Can also have multiple loads each having different speeds, some may rotate and some have translational motion 20 Motor Load Te , m TL Represent motor- load system as equivalent rotational system
  • 21. Torque Equation for Rotating Systems 21 • First order differential equation for angular frequency (or velocity) • Second order differential equation for angle (or position)   2 2 dt d J dt d J T T m L e      With constant inertia J,   dt J d T T m L e     Te , m TL Torque equation for equivalent motor-load system: where: J = inertia of equivalent motor-load system, kgm2 m = angular velocity of motor shaft, rads-1 Te = motor torque, Nm TL = load torque referred to motor shaft, Nm (1) (2)
  • 22. Torque Equation for Rotating Systems with Gears  Low speed applications use gears to utilize high speed motors  Motor drives two loads:  Load 1 coupled directly to motor shaft  Load 2 coupled via gear with n and n1 teeth  Need to obtain equivalent motor-load system 22 Motor Te Load 1, TL0 Load 2, TL1 J0 J1 m m m1 n n1 TL 0 TL1 Motor Te J Equivalent Load , TL m TL
  • 23. Torque Equation for Rotating Systems with Gears  Gear ratio a1 =  Neglecting losses in the transmission:  Hence, equivalent motor-load inertia J is: 23 Kinetic energy due to equivalent inertia =  kinetic energy of moving parts 1 2 1 0 J a J J   (3) (4)
  • 24. Torque Equation for Rotating Systems with Gears  If 1 = transmission efficiency of the gears:  Hence, equivalent load torque TL is: 24 Power of the equivalent motor-load system =  power at the loads 1 1 1 0  L L L T a T T   (5)
  • 25. Torque Equation for Rotating Systems with Belt Drives  By neglecting slippage, equations (4) and (5) can still be used.  However, where: Dm = diameter of wheel driven by motor DL = diameter of wheel mounted on load shaft 25 L m D D a  1 (6)
  • 26. Torque Equation for Rotating Systems with Translational Motion  Motor drives two loads:  Load 1 coupled directly to motor shaft  Load 2 coupled via transmission system converting rotational to linear motion  Need to obtain equivalent motor-load system 26 Motor Te J Equivalent Load , TL m TL
  • 27. Torque Equation for Rotating Systems with Translational Motion  Neglecting losses in the transmission:  Hence, equivalent motor-load inertia J is: 27 Kinetic energy due to equivalent inertia =  kinetic energy of moving parts 2 1 1 0           m v M J J  (7)
  • 28. Torque Equation for Rotating Systems with Translational Motion  If 1 = transmission efficiency of the transmission system:  Hence, equivalent load torque TL is: 28 Power of the equivalent motor-load system =  power at the loads and motor           m L L v F T T   1 1 1 0 (8)
  • 29. Relation between Translational and Rotational Motions  The relationship between the torques and linear forces are:  Relationship between linear and angular velocity:  Hence, assuming the mass M is constant: 29 1 1 rF T  m m rF T   r v  dt dv M F Fm   1 dt d Mr T Tm  2 1  
  • 30. Components of Load Torque • Load torque can be divided into: • Friction torque – present at motor shaft and in various parts of load. • Viscous friction torque TV – varies linearly with speed (Tv  m). Exists in lubricated bearings due to laminar flow of lubricant • Coulomb friction torque TC – independent of speed. Exists in bearings, gears coupling and brakes. • Windage torque Tw – exists due to turbulent flow of air or liquid. • Varies proportional to speed squared (Tw  m 2). • Mechanical Load Torque TL - torque to do useful mechanical work. 30
  • 31. Mechanical Load Torque • Torque to do useful mechanical work TL – depends on application. • Load torque is function of speed • where k = integer or fraction • Mechanical power of load: • and 31 k m L T   m L T P   m m n 60 2   Angular speed in rad/s Speed in rpm
  • 32. Torque-Speed Characteristics of Load 32 1) Torque independent of speed 2) Linear rising Torque-Speed 3) Non-Linear rising Torque-Speed 4) Non-Linear falling Torque-Speed
  • 33. Mechanical Load Torque  Torque independent of speed , k = 0  Hoist  Elevator  Pumping of water or gas against constant pressure 33
  • 34. Mechanical Load Torque  Torque proportional to square of speed , k = 2 Fans Centrifugal pumps Propellers 34
  • 35. Mechanical Load Torque  Torque inversely proportional to speed , k = -1 Milling machines Electric drill Electric saw 35
  • 36. Classification of Electrical Drives 36 • Group Drive(Shaft Drive) • Individual Drive • Multi-Motor Drive
  • 37. Classification of Electrical Drives 37 Group Drive(Shaft Drive) “If Several groups of Mechanisms or Machines are organized on one shaft & driven by one motor, the system is called a group drive (Shaft Drive)” Disadvantages • There is no flexibility, Addition of an extra machine to the main shaft is difficult. • The efficiency of the drive is low, because of the losses occurring in several transmitting mechanisms. • The complete drive system requires shutdown if the motor, requires servicing or repair. • The system is not very safe to operate • The noise level at the work spot is very high.
  • 38. Classification of Electrical Drives 38 Individual Drive “If a single motor is used to drive a given mechanism & it does all the jobs connected with load, the drive is called an individual drive” Examples • Single Spindle drilling machine • Lathe machines
  • 39. Classification of Electrical Drives 39 Multi-Motor Drive “In a Multi-Motor drive, each operation of the mechanism is taken care of by a separate drive motor. The system contains several individual drives, each of which is used to operate its own mechanism” Examples • Metal cutting machine tool • Rolling mills • Travelling cranes
  • 40. Dynamic Conditions of a drive system 40 • Dynamic conditions occur in a electric drive system when operating point changes from one steady state condition to another, following a change introduced in the system variables. This variables may be mechanical such as speed, torque etc. or electrical such as voltage, current etc. • These conditions generally exist during starting, braking and speed reversal of the drive. • The dynamic conditions arise in a variable speed drive when transition from one speed to another is required.
  • 41. Dynamic Conditions of a drive system 41 • The drive may also have transient behavior if there are sudden changes of load, supply, voltage or frequency. • The dynamic behavior of a drive has a close relation to its stability. A drive is said to be stable if it can go from one state of equilibrium to another following a disturbance in one of the parameters of the system. • Stability can be identified as either steady-state or transient.
  • 42. Dynamic Conditions of a drive system 42 • The condition of stability depend on the operating point. The dynamics of the drive can be investigated using the Torque balanceequation given by
  • 43. Dynamic Conditions of a drive system 43
  • 44. Dynamic Conditions of a drive system 44
  • 45. Dynamic Conditions of a drive system 45
  • 46. Dynamic Conditions of a drive system 46
  • 47. Dynamic Conditions of a drive system 47 The load torque occurring in mechanical system may be Passiveoractive. Passive torque If the torque always opposes the direction of motion of drive motor it is called a passive torque. Active torque Load torque which have the potential to drive the motor under equilibrium condition are called active load torque.
  • 48. Motor T- characteristic – variation of motor torque with speed with all other variables (voltage and frequency) kept constant. Loads will have their own T- characteristics. Steady State Operating Speed 48 Synchronous motor Induction motor Separately excited / shunt DC motor Series DC motor SPEED TORQUE
  • 49. Steady State Operating Speed • At constant speed, Te= TL • Steady state speed is at point of intersection between Te and TL of the steady state torque characteristics 49 TL Te Steady state Speed, r Torque Speed r2 r3 r1 By using power electronic converters, the motor characteristic can be varied
  • 50. Steady State Stability  Drives operate at steady-state speed (when Te = TL) only if the speed is of stable equilibrium.  A disturbance in any part of drive causes system speed to depart from steady-state point.  Steady-state speed is of stable equilibrium if:  system will return to stable equilibrium speed when subjected to a disturbance  Steady-state stability evaluated using steady-state T- characteristic of motor and load.  Condition for stable equilibrium: 50 m e m L d dT d dT    (9)
  • 51. Steady State Stability  Assume a disturbance causes speed drop to r’  At the new speed r’, 51 Te’ > TL’ motor accelerates operation restored to steady-state point Steady-state speed is of stable equilibrium Te TL Steady-state point A at speed = r r r’ Te’ TL’ m T m e m L d dT d dT      dt d J T T m L e    Evaluated using steady-state T- characteristic of motor and load.
  • 52. Steady State Stability  Let’s look at a different condition!  Assume a disturbance causes speed drop to r’  At the new speed r’, 52 Te’ < TL’ motor decelerates operation point moves away from steady-state point Point B is at UNSTABLE equilibrium Te TL Steady-state point B at speed = r r r’ TL’ Te’ m T m e m L d dT d dT      dt d J T T m L e   
  • 53. Torque-Speed Quadrant of Operation 53 •Direction of positive (forward) speed is arbitrary chosen •Direction of positive torque will produce positive (forward) speed m Te Te m Te m Te m  T Quadrant 1 Forward motoring Quadrant 2 Forward braking Quadrant 3 Reverse motoring Quadrant 4 Reverse braking P = +ve P = -ve P = -ve P = +ve m e T P   Electrical energy Mechanical energy MOTOR P = + ve
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