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A Strategy for the Revival of Electric Machines and Drives Courses
Ned Mohan, Mahmoud Riaz, Paul Imbertson, Ted BrekkenDept. of ECE, University of Minnesota
Minneapolis, MN 55455 USAEmail: [email protected]
- Declining Student Enrollments
- New Opportunities
- Reversing the Trend Using A New Approach [1, 2, 3]
22-Page Article Audio
1
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Please click on the Audio button below. Make sure the speakers are turned on.
References
1. NSF-Sponsored Faculty Workshops on Teaching of Electric Drives and PowerElectronics, held at the University of Minnesota, 1994, 1997 and 1998.
2. N. Mohan, Electric Drives: An Integrative Approach, a textbook published by MNPERE, Minneapolis, 2001. This book is reviewed by Professor Marian P. Kazmierkowski, Warsaw University of Technology, Poland in the IEEE Industrial Electronics Newsletter, Vol. 47, No. 3, September 2000. http://sant.bradley.edu/ienews/00_3/edrives.html
3. NSF/NASA-Sponsored Project, “DSP-based, Software-ReconfigurableLaboratory to Nationally Revitalize Electric Drives and Power Electronics Curricula, University of Minnesota, June 1, 2000 – May 31, 2003.
1a
Opportunities
• Energy Conservation [4]
• Transportation
• Harnessing Renewable Wind Energy
• Factory Automation, Robotics
Audio
2
References
4. Turning Point Newsletter, Department of Energy, November 1998. http://www.oit.doe.gov/bestpractices/explore_library/pdfs/tpnov2.pdf
2a
Reversing the Trend of Declining Student Enrollments
PowerProcessing
UnitfixedformElectric Source
(utility)
Controller
Electric Drive
adjustableform
Sensors
input command(speed / position)
Motor
speed /position
Load
- Teaching Electric Drives in the First Course
- DSP-based Lab [3]
Audio
3
References
3. NSF/NASA-Sponsored Project, “DSP-based, Software-ReconfigurableLaboratory to Nationally Revitalize Electric Drives and Power ElectronicsCurricula, University of Minnesota, June 1, 2000 – May 31, 2003.
3a
Meeting the Challenge Using A New Approach
• Deleting Irrelevant Topics
• Discussion of the Power Processing Units
• Sticking to Fundamentals:
• Use of Space Vectors for Analyzing AC Machines
• A Quick Overview of Feedback Controller Design and Utility Interaction
- Discussed at NSF-Sponsored Faculty Workshops [1]
and eme B u f B i= =l l
Audio
4
References
1. NSF-Sponsored Faculty Workshops on Teaching of Electric Drives and PowerElectronics, held at the University of Minnesota, 1994, 1997 and 1998.
4a
A
B
A
B
CM
Vd
+
−
Vd
+
−
iaia
Discussion of Power Processing Units
Rectifier switch - modeconverter
M
controller
utility
−
+dV
PWM-IC
pole-A
( )triv t
, ( )c Av t
A
N
+
−
( )ANv t
( )Aq t
( )Ai t
currentport
voltageport
dV
+
−
+
−
dV
+
−
( )Ad t
tri
1
2V)
( )dAi t
( )ANv t
1
+
/1 2
, ( )c Av t
( )Ai t
Σ
+
M
Audio
5
dV
+
−Ci
Bi
Ai
IC
PWM
A
B
C
n
, ( )c Av t
, ( )c Bv t
, ( )c Cv t
( )Aq t
( )Bq t
( )Cq t
triv
1f
cV
Three Phase Inverter
/1 2
( )Cd t
tri
1
2V
( )Ai t
( )Bi t
( )Ci t
AB
Cn
( )Av t
Σ
( )Bv t ( )Cv t
( )dAi t ( )dBi t ( )dCi t
( )Bd t( )Ad t1
, ( )c Cv t
, ( )c Bv t
, ( )c Av t
dV
( )Ce t
( )Be t
( )Ae t
−
+
−
+
−
+
−
+
tri
1
2V
tri
1
2V+
+
Σ+
+
Σ+
+
1 1
N
,c Av ,c Bv
,c Cv
( )Av t
( )Bv t
( )Cv t
Audio
6
At time ‘t’( )sF t
u ur( )sF tθ
( )aF tu ur
( )bF tu ur
( )cF tu ur
axisc −
axisb −
axisa −
ci = −
bi = −
ai = +
( )aF tu ur
( )bF tu ur
( )cF tu ur
axisc −
axisb −
axisa −
AC Machines: Space Vectors to Represent Sinusoidal Field Distributions
ˆ( ) ( ) ( ) ( ) ( ) ( )s a b c s FsF t F t F t F t F t tθ= + + = ∠u ur u ur u ur u ur
• sinusoidally-distributed windings
Audio
7
ref
ˆma mI I α= ∠ −
α axisa −
ˆms msi I α= ∠ −
u u ur
@ t 0=
α
sI
at time t
magnetic axis of hypothetical winding
ˆwith current sI
axisa −
ˆ( ) ( ) ( ) ( ) ( ) ( )0 0 0s a b c s is
i t i t 0 i t 120 i t 240 I t tθ= ∠ + ∠ + ∠ = ∠ur
ˆ( ) ( ) ( ) ( ) ( ) ( )0 0 0s a b c s vs
v t v t 0 v t 120 v t 240 V t tθ= ∠ + ∠ + ∠ = ∠u ur
Space Vector Representation of Currents and Voltages
Steady State: Relating Phasors to Space Vectors
α
tω0 tω
ˆmI
t 0ω =
( )mbi t ( )mci t( )mai t
Audio
8
Using the Fundamentals
i
l
emf
B
{ {{[ ] [ ][ ] [ ]
emm ANm Tesla
f B i= l1 2 3
{ {{[ ] [ ][ / ][ ]V m m sTesla
e B u= l1 2 3
qf −
qf +
u
(into paper)B
−
+
in DC and AC MachinesE Tk k=
B
Audio
9
Introducing Transformers
• Needed in Power Systems & Power Electronics Courses
• Critical for Understanding of Induction Machines Operation and Control
m 2i i′+
mφ
1N 2N1v
−
+
2i
Load
§ Transformer Analogy
q Flux is unaffected by the loadmφ
Audio
10
Brush-less DC Motor Drives: Principle of Operation
PowerProcessing
UnitUtility
Controlinput
Sinusoidal
PMAC
motor
PositionsensorLoad
Controller
a
b
c
i
i
i
( )m tθ
rBu ur
mθ
axisa −
siur
N
S
sI
axisc −
axisa −
axisb −
N
S
bi
ai
ci
mθ
rBu ur
o90δ =
'a
a
siur
Audio
11
Torque Calculations
rBu ur
ξ
siur
NS
sI
dξ
.. .
ˆ ˆ( ) cos cossem r s
cond lengthfluxdensity atdiff no of cond at
NdT r B I d
2ξ
ξ
ξ ξ ξ ξ= ⋅ ⋅ ⋅ ⋅l14 2 4314 2 43
1 44 2 4 43
/
/
ˆ ˆ( )2
sem em r s
2
NT 2 dT r B I
2
ξ π
ξ π
ξ π=
= −
= × =
∫ l
ˆ ˆ, where the machine torque constant, T
sem s T r
NT k I k r B
2π⇒ = = l
Using emf Bli=
sR
aV
mL
sL6 4 4 4 4 7 4 4 4 4 8
lsL
, r
0E mma BE k 0ω= ∠u ur
−
+ , sma iE ur
aI
−
++ −
, sma iE ur
+
−
E Tk k=
Audio
12
Induction Motor: Induced Currents in Rotor
mω−− − −
−
+
+
+
+
msBu u u ur
synω
synω
axisa −
at t 0=
svuur
θ
( )bari θ
barR
back end-ring front
end-ring
θ + −
+ −+ −
+ −
+−
+−+−+−
+−
+ −
bare
msBu u u ur
synω
'ma rai i+
net flux = 0
, 'rm iφ
, rm iφ
svuur
axisa −
mω
at t 0=
axisa −sv
uur
msBu u u ur
msiu uur
rF ′u ur
rFu ur
'riu ur
at t 0=
siur
Click Here For Inclusion of Rotor Leakage Inductance
Audio
13
Including Rotor Leakage Inductance
maI'raI
aV
aI
+
−
(at )ωaV
+
−
lsj Lω
maImaE
'raIaIsR
'lrj Lω
'syn
rslip
Rω
ωmj Lω
rθ
rθ
m siu u uur
synω
synωaxisa −
msBu u uur
rFu ur
'rFu u ur ( )sv t
uur
at t 0=
'riu ur
ri′urrF ′
u ur
rFu ur
rθ
rθ
axisa −
msBu u uur
rBu ur
lrBu u ur
at t 0=
o90
o90
svuur
Audio
13a
Electromagnetic Torque
'rFu u ur
rFu ur
axisa −
'riu ur
at t 0=
l
svuur
msBu u u ur
(a)
ω m
Tem
f1
f2
f3
ω syn rated,
ω slip,1
frated
ω syn ,1
0
,syn ratedω
mω
,m ratedω
,em ratedT emT0
,slip ratedω
Click Here For Motoring vs. Reg. Braking
Audio
14
2ˆ ˆ ˆ 2
t
sem ms r e ms slip
k
NT r B I k B
ωπ ω′= =l14 2 43
Regen. (Braking) ModeMotoring Mode
m synω ω< m synω ω>
Motoring vs. Regenerative Braking
msBu u u ur
synω
'ma rai i+
net flux = 0
, 'rm iφ
, rm iφ
svuur
axisa −
mω
at t 0=
rFu ur
'rFu u ur
mω
synω
axisa −
msBu u u ur
Audio
14a
*position+
−
*speed *torque
torque(current)
SpeedPositioncontroller
torque
Torque ElectricalSystem
Mech position
speed
speed
position
1
scontroller+
−
+
−
controller System
Feedback Controller Design
Various Utility Interface
Optional Topics
Audio
15
Topics No. of LecturesIntroduction to Electric Drive Systems 1
Understanding Mechanical System Requirements 2
Review of Electric Circuits 1
Basic Understanding of Switch-Mode Power Electronics 4
Magnetic Circuits 4
Basic Principles of Electro-Mechanical Energy Conversion 3
DC-Motor and ECM Drives 5
Introduction to AC Machines and Space Vectors 5
Sinusoidal PMAC Drives and Synchronous Machines 4
Induction Machines: Steady State Analysis 5
Adjustable-Speed Induction-Motor Drives 3
Optional Topics
Feedback Controller Design
Power Quality Issues
Reluctance Drives
Approx. 40 Lecture Sequence
Audio
16
A DSP-Based Lab for the First Course
DC Power SupplyDSP Board
M
Active Load
Switching Signals Switching Signals
Data
Optical Encoder
Fig. 23 DSP-based Lab.
Audio
17
References
1. NSF-Sponsored Faculty Workshops on Teaching of Electric Drives and PowerElectronics, held at the University of Minnesota, 1994, 1997 and 1998.
2. N. Mohan, Electric Drives: An Integrative Approach, a textbook published byMNPERE, Minneapolis, 2001. This book is reviewed by Professor Marian P. Kazmierkowski, Warsaw University of Technology, Poland in the IEEE Industrial Electronics Newsletter, Vol. 47, No. 3, September 2000. http://sant.bradley.edu/ienews/00_3/edrives.html
3. NSF/NASA-Sponsored Project, “DSP-based, Software-ReconfigurableLaboratory to Nationally Revitalize Electric Drives and Power Electronics Curricula, University of Minnesota, June 1, 2000 – May 31, 2003.
4. Turning Point Newsletter, Department of Energy, November 1998. http://www.oit.doe.gov/bestpractices/explore_library/pdfs/tpnov2.pdf
continued…
18
References
5. N. Mohan and J. Ramsey, Comparative Study of Adjustable Speed Drives for Heat Pumps, EPRI Final Report EM-4704, Project 2033-4, August 1986.
6. N. Mohan, Advanced Electric Drives: Analysis, Control and Modeling using SIMULINK™, to be printed in August 2001 by MNPERE, Minneapolis, MN.
7. Instructor’s CD to accompany [2].
8. DSPACE GmbH, Technologiepark 25, 33100 Paderborn, Germany. http://www.dspaceinc.com
19