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1 www.cst.com | European User Group Meeting 2009; © CST 2009; Commercial in Confidence
EMC/I Simulations with
CST MICROSTRIPES™
Paul DuxburySenior Sales and Applications Engineer
CST UK [email protected]
+44 (0)7799 648 044
2
Introduction
The last few years have seen a significant development in, and
maturing of, modelling software specifically for EMC applications
Such that it is now being seen by many organisations as a vital
part of the electronics design process
CST MICROSTRIPES™ uses the TLM (transmission line matrix)
method for solving Maxwell’s equations
Johns P B & Beurle R L; ‘Numerical Solution of two-dimensional scattering
problems using transmissions-line matrix’, Proc IEE 118, p1203-1208, 1971
This presentation will overview
The TLM technique
Some typical EMC applications
Some of the key features of CST MICROSTRIPES™ which make it
especially suited to EMC modelling
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3
Transmission Line Matrix
3D Time domain solution
TLM uses an analogy between transmission line
propagation and wave propagation
Basis functions are pulses traveling along the transmission-
lines and scattering at nodes
All 6 field components are co-located which simplifies the
definition of boundary conditions and improves the
accuracy
Time-domain response can be Fourier transformed giving
wideband high-fidelity frequency-domain results, or
convolved with transient waveforms (pulse train,
lightning, EMP etc.)
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4
Transmission Line Matrix
Boundary conditions are modeled by pulse reflections and
transmissions
Each cell can have different material properties
The TLM grid can be non-uniform enabling cells to be
crowded around areas of detail
Octree-TLM enables complex problems to be solved
efficiently
Wire and circuit models (and other transmission-line
models) are easily integrated into TLM
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5
Transmission Line Matrix
V7V12
V4
V2
V3
V6V11
V10
V8
V9
V1V5
z
y
x
Johns P. B., ‘A symmetrical condensed
node for the TLM method’, IEEE Trans.
Microwave Theory and Techniques, Vol.
MTT-35, No. 4, pp. 370-377, 1987
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6
SAR of 3 Layered Sphere
TLM (thick) and analytic (thin)
results for SAR through a
layered sphere;
70mm radius muscle, 5mm
fat, 3mm skin
TLM (left) and analytic (right)
results for SAR through a
layered sphere at 200MHz
(above) and 1GHz (below)
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7
Octree Meshing in TLM
TLM method provides
interface between coarse and
fine cells
Enables localised meshing
around detail
Grid is refined close to
surfaces
Cells are progressively lumped
into bigger cells away from the
surface
This is an automatic process in
CST MICROSTRIPESTM
In many cases the cell count
can drop by over 90% as a
result of the lumping process
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8
Octree Meshing in TLM
~95% of the mesh is unnecessary
No Lumping
Cells in
Basic Grid
(k)
Cells in
Solver
Model (k)
Computing
Time (mins)
Required
Memory
(MB)
Manual
Lumping
Automatic
Lumping4346.5
896.7
4326.3
304.6 9
30
38.8
103.8
152 421.34346.5
4346.5
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9
Aircraft EMP analysis
Coupling into internal cables
Robotic vehicle shielding
2U server emissions (3m scan)
Automotive control system
emissions (CISPR-25 model)
Card cage ESD analysis
Lightning strike
etc…
Sample EMC / EMI Applications
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Compact Models In EMC applications, detail in the
geometry can be important
Slots, seams, wires
We could use an extremely fine
mesh to capture the detail but this
would lead to
Long simulation times
High memory requirements
Compact models are a more
efficient approach
Equivalent electrical model of
coupling
Allowing electrically important
but, geometrically small features
to be included in the model
without having to use a very fine
mesh to represent them
Field-Wire
Interactions
Scattering process models
coupling through apertures and
diffusion through thin panels
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11
Compact models:
Seams and slots
Vents and screens
Composite panels
Conductive coatings
Absorbers (Ferrite, RAM)
Wires and cables
Sources
Considerable reduction in
computer memory and run-time
Ideal for simulating coupling into
enclosures, cabling, emissions etc…
Compact Models
transfer
impedance
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12
Comparison19 in. rack shielding analysis
Solution technique CPU time and RAM
Fine mesh used to capture
seams/vents
30 hours
529 MBytes
Fine mesh with cell-
lumping (octree mesh)
220 minutes
101 MBytes
Coarser mesh using
compact seams/vents
1.5 minutes
13 MBytes
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13
Electronics System Emissions
Note; Results
shown are for a
different modelPeak E-field distribution on 3m
radius and height cylinder at 3GHz
E-field distribution at
10GHz – vent leakage
E-field distribution at
3GHz – seam leakage
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Vents
Heatsinks
Slots /
Seams
Fans
Enclosure
14
Wire Radius; 1.75mm
Wire Loss; 2/m
Max Freq; 500MHz
Mesh; 20%, +Z 40%
3nS 100nS
1V/m
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15
Direct; 126 sec
Indirect; 122 sec
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16
CISPR 25 Simulation
The ultimate end-game is a virtual anechoic
chamber CISPR 25 radiated emissions simulation.
Model the ECM, cable harness, load box on the
copper table top in free space.
Ground plane
beyond mesh
Monitor point 1m
from harness
Image courtesy Continental Automotive, USA
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17
The cable resonates when its length
is equivalent to an integer number of
half-wavelengths
CISPR 25 Simulation
690 MHz
90 MHz
Adding return paths directly around the
microprocessor reduces the common-
mode current on the PCB and cables
Baseline
With 4 return pins
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18
CISPR 25 Simulation
Vertical
polarization
Horizontal
polarization
Counter-intuitively, the vertical polarization is stronger than the
horizontal (interaction between the cable and ground plane causes this)
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19
Aim: to measure current induced in test wire
as a result of exciting parallel plate via a wire
injected with a double exponential pulse
(peak current 1400A)
Drive
n w
ire
(d
ou
ble
exp
on
en
tia
l tr
an
sie
nt)
50
Shielded Wire Compact Model
Model courtesy of BAe Systems
Shielded cables are modeled using a compact sub-cell representation.
Details of cable and shield do not need to be meshed.
Shielded cable characterized by a transfer impedance:
Zt = R + jM12
Transfer Impedance Calculator computes voltage coupled to cable at the terminations.
I
VZT = V/I
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20
Baseline (Aperture); Current in BNC Screen.
-50
-40
-30
-20
-10
0
10
20
30
40
50
60
70
80
90
100
0 50 100 150 200 250
Time (us)
Cu
rren
t A
mp
litu
de
(A)
Cu
rrent in
ca
ble
scre
en
Baseline (Aperture); Voltage on BNC Inner.
-0.5
0
0.5
1
1.5
0 50 100 150 200 250
Time (us)
Ind
uced
Vo
ltag
e (
V)
Modelling Result Measured Result
Voltage o
n
ca
ble
in
ne
rShielded Wire Compact Model
Model courtesy of BAe Systems
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21
CST CABLE STUDIO™
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22
Current Field Source Excitation
E-field on surface
Surface current
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23
EMP Test Problem
Carbon fiber reinforced front panel 70cm size box
M. D’Amore et. al, IEEE trans. On EMC,
Vol. 42, No. 1, February 2000
E(t) = k Eo(e-t/a – e-t/b)
Eo = 50,000 V/m
K = 1.13
a = 200 nS
b = 5 nS
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24
EMP Test Problem
Modelled Measured
E F
ield
H F
ield
M. D’Amore et. al, IEEE trans. On EMC,
Vol. 42, No. 1, February 2000
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25
Humvee EMP Application
Coax cable current
E field
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26
Fighter Aircraft EMPBuild Model TLM Model
Time
Animation of
EMP
Coupling
Transient source used to
model the MIL-STD-464
double-exponential
waveform with peak E
field 50 KV/m
Effect of angle of
incidence and
polarization can be
investigated
Compact slots/seams
defined in the fuselage
Thin film used to model
composite panels
Aim of the analysis is to
predict coupling into
internal cabling
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27
Lightning Test Problem
13.2m sized metal box with interchangeable lid and front panel;
Side walls are perfect electrical conductors (PEC)
Top can be PEC or 1.2mm thick Aluminum
Front panel can be closed or contain a slot
Lightning current driven into conductor
Magnetic field calculated inside the box
Lightning conductor
Slot aperture (12 x 0.01)
PML
M. Sarto, IEEE trans. On EMC,
Vol. 43, No. 3, August 2001
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28
Simulated Magnetic Field
Lightning
waveform (source)
Curre
nt in
Conducto
r
Diffusion through
walls slows responseHz
Hx
Hy
Al Box
HzHx
Hy
PEC S
ide W
alls,
Al L
id
Magnetic field reduced
with PEC side walls
PEC S
ide W
alls,
Al
Lid
, Slo
tted F
ront
Panel
Faster response
with slot present
Hz
Hx
Hy
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29
Current Distribution
100kHz; Diffusion dominates 10 MHz; Slot leakage dominates
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30
Fighter Aircraft Lightning Analysis
Surface and wire currents Magnetic field
Nose to tail lightning strike
simulated using MIL-STD-464 A
waveform
(200kA peak current)
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31
Ferrite Tile Model
Allows thin ferrite tiles with conductor backing to be modeled
without the need to mesh the tile thickness.
Fully frequency dependant ferrite model.
Validated accuracy for anechoic chamber modeling.
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32
PCB Simulation
Complexity:
PCBs often have many layers, thousands of traces and
components
Enclosure may be geometrically complex and contain EMC-
critical detail such as seams, vents, connectors and cabling
Huge disparity in dimensions (um to meters)
Computer requirements:
Memory and solve-time increases with model complexity and
frequency
Analysis needs to be fast enough to influence design process
Impractical to simulate the entire problem in full detail
Replace the complex PCB with an equivalent radiating source,
or Compact Source
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33
PCB Simulation
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PCB Layout
CST PCB STUDIO™
CST MICROSTRIPES™ or
CST MICROWAVE STUDIO®
34
PCB in Free Space
Electric field
500mm above
the PCB
Radiated
power from
the PCB
Compact Model
>90% quicker
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35
PCB in Enclosure
Electric field
3000mm in front
of enclosure
Radiated
power from
the enclosure
Compact Model
>80% quicker
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36
Compact source generated from MS near-field scan data
Compact Antenna Source
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CST MICROSTRIPES™ 2009
Key EMC Technology
Time domain analysis
Transient sources, broadband analysis
Efficient meshing
Octree based, lumped cells
Compact models
Slots, seam, vents, cables, …
Lumped circuits
R, L, C, sources, outputs
Broadband compact source
Output beyond mesh and emissions scans
Ground plane beyond mesh
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38
EMC/I Simulations with
CST MICROSTRIPES™
Paul DuxburySenior Sales and Applications Engineer
CST UK [email protected]
+44 (0)7799 648 044
www.cst.com | European User Group Meeting 2009; © CST 2009; Commercial in Confidence