Development of Dynamic Phasors for the Modelling of...
Transcript of Development of Dynamic Phasors for the Modelling of...
The Science powering Clean Sky 6/3/2016
Development of Dynamic Phasors for the Modelling
of Aircraft Electrical Power Systems
Tao Yang, Serhiy Bozhko, Greg Asher, Pat Wheeler
The University of Nottingham
- Within Clean Sky SGO WP2.4 and WP2.3.0.7
Nottingham
Manchester
Liverpool
London Bristol
180km
City of Nottingham
Population 300,000
The city famous for the legend of
Robin Hood and Brian Clough
[one time manager of the
Nottingham Forest football team]
Nottingham
•
PEMC Group & My PhD
Main campus UK
Power Electronics, Machine and Control Group - A world leading research group
Aerospace (More Electric Aircraft)
• Future electricity networks
• Renewable energy
• High-energy physics applications
• Automotive, marine and industrial applications
Application Areas
Underlying scientific research
• Power device packaging and cooling
• New actuator topologies
• New cooling methodologies & thermal integration
• New modelling methods
• High density power converters for power distribution,
actuator drives, ECS etc.
• Aircraft electrical power systems (AC/DC/Hybrid)
• Advanced actuator designs
• Solid state switching (fault isolation, re-configuration)
• Diagnostics and Prognostics (system and device level)
• Electromagnetic compatibility and wireless systems
More-Electric Aircraft Research Themes:
2,200m2 laboratories with own 1MVA supply
Motor rigs 1kW to 750kW, voltage supplies to
13kV
Electrical Machine/Actuator manufacture
Machine and Power Systems testing to 800kW
Environmental testing chambers
Facilities for multi-layer power plane, surface
mount & FPGA
Aircraft Electric Power Systems Validation
Infrastructure
Group Facilities
> 120 Researchers/Academics
45 Contract Research Fellows
75 PhD students
4 Visiting Scholars
Electrical and
Electronic
Engineering
Mechanical,
Materials and
Manufacturing
Engineering
Engineering Faculty
Applied
Optics PEMC
Group
Institute
Electro-
magnetics
Heat
Transfer
Research
Research Council
29%
European Commission
33%
Knowledge Transfer
Partnerships
15% Industry
16% TSB/Industry
4%
Overseas Industry 4%
Current Research Grants € 34M EURO
16 Academic Staff
6 Full Professors
3 Associate Professors
7 Assistant Professors (I am here)
Power Electronics, Machine and Control Group - A world leading research group
Dynamic Phasors Modelling of Aircraft Electrical
Power Systems
• More-Electric Aircraft
• Novel on-board electrical loads
including power electronic
converters, machine drive
• Electrical Power System (EPS)
stabilities, system behaviour etc.
• Novel architectures
• Optimization problems
Issues
Background
Fast and accurate models
for aircraft EPS studies
The Science powering Clean Sky 6/3/2016
Multi-layer modelling concept
• Component level
Cover high frequency up to MHz
e.g. Electromagnetic interference (EMI) studies
• Behavioural level
Up to hundreds of KHz
e.g. Switching behaviour of converters
• Functional level
No Switching behaviour in models
System performance: stabilities, transient responses, fault conditions
• Architecture level
Power flow, weight, cost and cabling studies
Architectural
level
Functional level
Behavioural level
Component level
Leve
l of d
eta
ils incre
ase
s
Model c
om
ple
xity
incr
ease
s
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35-0.3
-0.2
-0.1
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
time(s)
Cure
nt
K=1,Imag partK=1,Re part
DC part
I(t)
T
jk
kdex
Tx n
0
)(1
k
tjk
k
nextx
)(
Fourier Coefficient
Dynamic Phasor Concept
)(X
0
02003
02 03
)(kX
0
To DPs)(1 X )(3 X )(1
X)(3 X
t
Tt
jk
kdex
Ttx n
)(1
)(
k
tjk
k
netxtx
)()(
Dynamic phasors
0
T
t-T
t
DP index A0+ A1sin(ωt+φ1)
+A3 sin(3ωt+φ3)
k=0 A0
k=1 0.5j A1e-jφ1
k=3 0.5j A3e-jφ3
The Science powering Clean Sky 6/3/2016
Dynamic Phasors Modelling Concept
• A better way to represent periodic signals
• Constant complex variables during the steady-state
• Can handle transient and unbalanced conditions
i LR
v+ -
‹i›k LR
+ -
jkωL‹i›k
+ -‹v›k
Time domain
DP domain
0 0.2 0.4 0.6 0.8 10
0.02
0.04
0.06
Time(s)
CP
U ti
me
(s)
0.08 0.081 0.082 0.083 0.084 0.085-20
-10
0
10
20
Cur
rent
s (A
)
DP model
Time-domain model
iL in DPs
Time-domain iL
The Science powering Clean Sky 6/3/2016
Dynamic Phasors Model library
A dynamic phasor library has been developed and tested
• Controlled synchronous generator,
• Generator control units
• Controlled rectifier units,
• Auto-transformer rectifiers
• Electromagnetic actuators
• Cables
• etc
SG1
GCU
SATRU1
PMM
PMM
WIP
S
TSL
SATRU2
SACL
Other AC
load
PMM
Other DC
loadECS1
SG2
GCU
SHVB
HV
AC
1
230V
HV
AC
2
230V
HV
DC
1
540V
Other DC
load
HV
DC
2
570
V
*
Tv
ωe2
*
Tv
EMA1
ωe1
*
1EMA
*
1EMAT
EMA2*
2EMA
*
2EMAT
1, EMAdcv
+
-
SECS1
PMM
ECS2
SECS2
*
1ECST
*
2ECST
SWIP
SESS
iSG1
iSG2
SSG1
SSG2
AC
ES
S
230V
SEMA1
SEMA2
PE
PD
C1
EE
PD
C1
PE
PD
C3
ATRU1
ATRU2
1, EMAdci
1, ECSdci
2, ECSdci
System simulation
• MOET aircraft EPS
architectures
• EMAs, eWIPS, ECS
• A twin-generator
system
• Comparison between
different models: DP,
DQ0 and ABC
ia
Simulation results – balanced conditions
Phase A currents of ATRU1
0 0.2 0.4 0.6 0.8 1 1.2-200
-100
0
100
200
i AT
RU
1(A
)
0.99 1 1.01 1.02 1.03-150
-50
50
150
Time(s)
i AT
RU
1(A
)
ABC DPABC DQ0 |DP|
SATRU1
closes Impact of ECS1 DC demands
ECS1 speed up Loads on ECS1 WIPS onWIPS changes
SGs connect
SGs disconnectedmagnitude of DPs (|<x>|)
0.787 0.7875 0.788 0.7885 0.789 0.7895
-60
-40
-20
0
20
40
60
Computation time
0 0.2 0.4 0.6 0.8 1 1.20
2000
4000
6000
8000
Co
mp
uta
tio
n t
ime(s
)
0 0.2 0.4 0.6 0.8 1 1.20
20
40
60
Time(s)C
om
pu
tati
on
tim
e(s
)
ABC DQ0 DPABC
DPABC DQ0
ABC
Remove SG1
SG1 and SG2 connected
DPABC
DQ0
y=15.44
y=42.97
y=7983
Model ABC DQ0 DP
Time (s) 7983.0 15.44 42.97
Acceleration 1 517 185
The Science powering Clean Sky 6/3/2016
Simulation results – unbalanced conditions
1.19 1.2 1.21 1.22 1.23 1.24 1.25-600
-300
0
300
600
vS
G2a(V
)
1.19 1.2 1.21 1.22 1.23 1.24 1.25-600
-300
0
300
600
vS
G2b
(V)
1.19 1.2 1.21 1.22 1.23 1.24 1.25-600
-300
0
300
600
Time(s)
vS
G2c(V
)
ABC DQ0 DPABC
0 0.2 0.4 0.6 0.8 1 1.2 1.40
1000
2000
3000
4000
5000
6000
7000
Time (s)C
alc
ula
tio
n t
ime
(s)
ABC model
DP model
DQ model
Fault occurs
DP model is the fastest one under unbalanced conditions (150 times faster than DQ0 model)
Aircraft Electrical Power Systems
Innovations Laboratory
115Vac BusHVDC 1
WIPS1
ECS1
GT
PM
PM
PM
BAT HV
PM
PM
PM
PM
PM
HVDC 2
HVDC ESS 2
HVDC ESS 1
Cable 20m
Cable 20m
Cable 10m
Representative Loads
Representative Loads
Representative Loads
“AFT” bus 1
WIPS2
AC grid
AC grid
90kW<1200V, <290A
GSS
90kW<1200V, <290A
GSS
GSS 2x90kW 4-Qactive front-end
converters
DRIVE150kW
35,000rpm4-Q
45kW 32,000rpm PMM Starter/Generator
DRIVETEST RIG
AC grid 50Hz
MX-45
HVAC-1
90kVA, 360-900Hz
AC grid 50Hz
MX-45 90kVA, 360-900Hz
HVAC-2
Cable
HVAC-1-1
Feeders VF
Feeders VF
Cable
HVAC-2-1
Feeders VF
Feeders VF
AC grid 50Hz
AC grid 50Hz
415V/50Hz, 2 x 800A utility grid feeders
Cable ?
“AFT” bus 2 PMM S/G 4kW (like APU driven)
Further plans • Validate models in a
system level
• High-level control ,
monitoring and data
logging
ENGINE EMULATOR
WITH LP and HP
shafts
HP
LP
To feed HVDC 1
To feed HVDC 2
ENGINE EMULATOR (2 shafts: HP and LP) (to be completed 1st Q 2016)
Engine emulator
The Science powering Clean Sky 6/3/2016
Conclusion
• The DP modelling technique has been successfully implemented in
modelling aircraft EPS
• High efficiency and accuracy of the DP models under both balanced
and unbalanced conditions
• 21 journal and conference publications.
• The DP model is included in the SAE Aerospace Information
ReportAIR6326“AircraftElectricPowerSystem.Modellingand
Simulation.BasicDefinitions”.
The Science powering Clean Sky 6/3/2016
• Sincere thanks to the EU FP7 funding via the Clean Sky JTI –
Systems for green Operations ITD to support this PhD research
• Sincere thanks to Dr. Hitendra Hirani, UNOTT EU Programme
Manager for his support during this Award Applications
End of presentation
Thank you!
Q&A