DC Machines - Slide Set
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Transcript of DC Machines - Slide Set
7/29/2019 DC Machines - Slide Set
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2012/05/0
DC-machines
Wildi
Chapter 5
Introduction (1)
Background – Chapter 4 - DC-generators
Armature
Commutator
FieldBrushes
Brush holders
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Introduction (2)
Applications – Pumps,fans, cars etc.
Three typesShunt
Series
Compound
Only used for torque-speed characteristicsvarying over wide range with highefficiency
Introduction (3)
Maintenance of dc-motor vs. inductionmotors
Direct current from ac – requires rectifiers
- lawnmower motor? Control – more simple than ac-motors
DC-motor can operate as dc-generator
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DC motor operation
B
J
ω, Td
Counter-electromotiveforce
Also called back-emf
Motor action = powerconnected and armatureturns
Moving conductors in magneticfield experience voltage inducedin them = back-emf
Z = Constant (# turns etc.)
n = Speed of rotation
φ = Flux per pole
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Acceleration of the motor Net voltage across armature
= Es – E0
Armature current limited onlyby resistance:
Motor at rest (E0 = 0) and startingcurrent is:
Starting current could be 20 to 30times full-load current of motor(Fuses?)
Example 5.1
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Mechanical power and torque (1)
Counter emf induced in lap woundarmature
Electrical power suppliedto armature
But
Thus
Mechanical power and torque (2)
I2R represent heat dissipated in machine
Mechanical power:P = mechanical power developed (W)
E0 = induced voltage in armature (V)
I = Total current supplied to armature (A)
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Mechanical power and torque (3)
Mechanical power: P = Tω = T *n*(2π /60)
Thus:
and
T = Torque (N.m.)
Z = # conductors on armature
φ= effective flux per pole (Wb)
I = Armature current (A)
6.28 = 2π = constant+ Example 5.2
Torque vs. speed
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Example 5.2
Speed of rotation
For dc-motor driving load between no-loadand full-load IR voltdrop small comparedto supply voltage
This means cemf is very nearly equal to Es
=
n = speed of rotation (r/min)
Es = armature voltage (V)
Z = # armature conductors
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Speed control Armature speed control – DIY
+ Example 5.3
Ward-Leonard
Modern electronic converters
Rheostat speed control
Field speed control - DIY
Example 5.3
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Shunt motor under load DC-motor under no-load – Ia is low
Load suddenly increased – armaturecurrent too small to provide enough torque
Motor slows down
Back-emf decreases
Current increases
Torque increases
Example 5.4
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Series motor (1)
Identical constructionto shunt motor exceptfor field being connectedin series with the armature
Ia = If Field conductors thicker
and fewer turns
Series motor (2)
Properties different tothat of shunt motor
Shunt motor – field constant (connected to ownsupply)
Series motor – field is function of armaturecurrent (thus function of load)
Low speed – low back-emf – high current – hightorque
Light / no-load will cause excessive speed!
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Series motor speed control Low value shunt resistor in parallel with
field (reduces field current and increasesspeed)
External series resistor – Increases IR-drop across resistor and field thusreducing the armature voltage (reduces
speed)
Example 5.5
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Compound motor (1)
Both series and shunt field present
Cumulative compound motor
Mmf of two fields add
Differential compound motor
Total mmf decreases with increased load
Speed increases as load increases –
instability!
Compound motor (2)
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Selfstudy Reversing direction of rotation
Starting a shunt motor
Face-plate starter
Stopping a motor
Dynamic braking (1)
Dynamic braking – energy dumped into R
Motoring mode Open-circuit armaturegenerating E0
1. 2.
3.
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Dynamic braking (2)
Armature current reverses direction
Reverse torque decelerates motor
Choose R with initial braking current =2*rated motor current
Exponential drop in speed
Plugging (1)
Suddenly reverse armature current byreversing terminals of source
Normal motoring:(R0 = armatureresistance)
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Plugging (2)
Reverse terminals
Voltage acting on armature = (E0 + Es)
Enormous reverse current generated!
Prevent damage by inserting external resistor R(design same as dynamic braking)
Open armature circuit as soon as speed is zero
to prevent rotation in opposite direction
Dynamic braking vs. Plugging
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Dynamic braking and mechanical
time constant (1)
Exponential decrease in speed
T = time for speed to reach 36.8% of initialvalue
T0 = time for speed to decrease to 50% ofinitial value
Relationship between conventional timeconstant and half-time constant:
Dynamic braking and mechanicaltime constant (2)
Mechanical time constant:
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Examples 5.6 and 5.7
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Regenerative braking
Armature reaction and fluxdistortion
No-load flux distribution Flux created by full-loadarmature current
Resultant flux distribution ofmotor running at full-load
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Self study Commutating poles
Poles between main poles
Improve armature reaction
Improve commutation
Compensating windings
Slots cut in main pole faces
Further improves armature reaction
Basics of variable speed control (1)
Constant torque region Constant power region
Base speed (design
speed, V and I)
(P can increase through V) (V and I constant)
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2
Basics of variable speed control (2)
Permanent magnet motors
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Brushless dc-motors