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Expert System EMC Analysis of Automobile Electronics U U M M R R E E M M C C L L a a b b o o r r a a t t o o r r y y D. Beetner 1 , T. Hubing 2 1 Missouri University of Science and Technology 2 Clemson University

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Page 1: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

1

Expert System EMC Analysis of Automobile Electronics

D. Beetner1, T. Hubing2

1 University of Missouri - Rolla2 Clemson University

UUMMRREEMMCC LLaabboorraattoorryy

D. Beetner1, T. Hubing2

1 Missouri University of Science and Technology

2 Clemson University

Page 2: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 2

Introduction

● Identifying EMC problems early increasingly important.

– Increasing complexity– “Late” fixes often expensive or

impractical

● Early identification is challenging

– Prototypes expensive and available too late

● Full-wave modeling often impractical – Lack of information– High system complexity– Long simulation time– Impact of specific components/structures difficult to assess

Page 3: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 3

Expert System Characteristics

● Expert system is being designed to– Apply simplifying approximations and rules of thumb– Rapidly perform an analysis and return results accurate

enough to determine significant problems and their cause even with incomplete information

– Help withWire harness routingPlacement of componentsRadiation and immunity issuesComponent groundingTest plan formation

– Assist the expert and the non-expertNot replace

Page 4: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 4

Design Flow with Expert System

Design Development

Design change?

Expert SystemProblem?

Non-Expert•Expert system suggestions

Expert•Experience•Numerical tools•Measurements

ConsultChangeDesign

ChangeDesign

No Problem

Page 5: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

5

Architecture

Page 6: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

Expert System Architecture

Crosstalk evaluation

Comn-Z coupling

Custom rule check

Classification algorithm

Dsgn database User Personality file Module library

Collect and parse raw input data

Inductive coupling

Capacitive coupling

Locate and evaluate total crosstalk

OUTPUTSTAGE

INPUT STAGE

Radiated Emissions

Field-to-hrns Coupling

Calculate the total noise voltage coupled at each frequency from DC to 10 GHz

Identify critical components, circuits and structures

Suggest design changes

Identify and prioritize potential problems

EVALUATION AND ESTIMATION Harness-

to-harness coupling

Intra-harness couplingConnctr coupling

Shielded-harness

coupling

BSM coupling

Power-bus noise

Page 7: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 7

Input Stage

• Automatically gather information required foranalysis

• Identify and classify circuits• Circuit characteristics determined from design database or

inferred from component characteristics or design defaults

Classification algorithm

Dsgn database User Personality file Module library

Collect and parse raw input data

Page 8: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 8

Evaluation Stage

Crosstalk evaluation

Common-Z coupling

Custom rule check

Inductive coupling

Capacitive coupling

Locate and evaluate total crosstalk

Radiated Emissions

Field to har-ness Coupling

Calculate the total noise voltage coupled at each frequency from DC to 10 GHz

Harness-to-harness coupling

Intra-harness couplingConncter coupling

Shielded-harness coupling

BSM coupling

Power-bus noise

Page 9: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 9

Output Stage

Identify critical components, circuits and structures

Suggest design changes

Identify and prioritize potential problems

Page 10: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

10

The Algorithms

Page 11: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 11

Crosstalk Algorithms

● Based on variations of lumped-element models and simplifications of transmission-line or antenna theory

● Worst-case assumptions

RG

L1RS

RLRFERNE

+

V1

-

L2Lm CM

CV

CG

Page 12: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 12

Calculation of Crosstalk

Page 13: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

15

Inductive and Capacitive Coupling (Low Frequency)

Page 14: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 16

Inductive and Capacitive Coupling

Capacitive or Inductive Coupling Algorithm

Harness-to-Harness Coupling Algorithm

Intra-Harness Coupling Algorithm

Twisted-pairBSM or wire return

Balanced-wireConnector

Page 15: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 17

Inductive Coupling (Low Frequency)

VNOISE = Iculprit* ω*MTOTAL*[ZL /( ZL+ Z S)]victim (continuous wave)

or

VNOISE = ∆Iculprit/trise/fall*MTOTAL*[ZL /( ZL+ Z S)]victim (transients)

M

L2

L1

ZS source

ZS victim

ZL source

ZL victim

VS

Page 16: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 18

Inductive Coupling Algorithm

● Identify circuits (loops)● Calculate inductive coupling if

– Culprit circuit is classified as R2 or R3 (high noise)– Victim circuit is classified as S2 or S3 (highly sensitive)– Impedance of culprit circuit < 400 ohms

● Calculate intra-harness inductive coupling for circuits that share the same harness

● Calculate harness-to-harness inductive coupling for circuits in different harnesses.

● Sum coupled noise from all sources● Evaluate result

Page 17: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 20

• Harness divided into 10 cm segments • Significant coupling assumed possible within 10X

distance to return

Identification of Segments

Culprit circuit10*A radius cylinder

Distance from segment to ground plane

Victim circuit

1 2M k L L=

Page 18: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 21

Harness to Harness Coupling (Low-Frequency)

AB

D

Configuration of wires above signal returnplane

Victim circuit wire Culprit

circuit wire

θ

D

10 cm segment

Angle calculated between segments and included in calculation of mutual inductance

Mutual inductance for segment is Msegment = θ *ln (1+ 4*A*B/D2) * (10 cm)0 * c o s

4μπ

Cross-section Top view

Page 19: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 23

Intra-Harness Coupling (BSM Return)

● Segment harness into 10 cm lengths● Determine the height of the circuits, A , above BSM.● Assume worst case coupling – the two circuits lie right next to

each other with spacing D = insulation thickness.● Mutual inductance for segment

Msegment = ln (1+ 4*A2/D2) *(10 cm)

A

D

4μπ

Page 20: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 24

Intra-Harness Coupling (Other Configurations)

Signal BSignal A

Return

Common wire return

Signal BSignal A

Return A Return B

Separate return wires

Signal BSignal A

Return A

Return B

Wire + body return

Algorithms generally assume worst-case wire positions

Page 21: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 26

Coupling to/from Twisted Pairs

● Wires are untwisted at connectors.● Coupling is assumed to be due to position of

wires/pins within connector, length of connector, and length of pigtail to connector

2*lc

dh

lp

( )ln2connector p c

hM l ld

μπ

⎛ ⎞≈ +⎜ ⎟⎝ ⎠

connector

Page 22: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 27

Capacitive Coupling

● Predicts noise due to electric field coupling– Calculate mutual capacitance

between circuits– Calculate capacitance to

ground– Calculations differ for:

intra-harness couplingharness-to-harness coupling

– Calculate noise voltage for transient and continuous signals

VS

C12

C2G ZLZS VN

Page 23: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 28

Validation

● Crosstalk was measured and predicted in passenger and engine compartment

– Used real and imposed load impedances

● Configurations:– Separate return wires– Shared return wire– Body surface metal (BSM) return– BSM and wire return– Combination of BSM and wire return– Twisted pair

Page 24: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 30

Inductive Coupling

● Low-frequency estimates reasonable to 10-20 MHz● Worst-case estimates overestimated measurements by a

few dB to 10-15 dB

104 105 106 107 108-60

-50

-40

-30

-20

-10

0

Frequency (Hz)

Cou

pled

Noi

se (d

B)

Each circuit with own return 2 shared return wires Shared return wire, Return AShared return wire. Return B

Measured Predicted

Page 25: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 31

Capacitive Coupling

● Worst-case estimates overestimated measurements by a few dB to 10-15 dB

Page 26: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 33

Twisted Pair

● Expert system algorithms overestimated results by a few dB to several dB

Page 27: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

37

High-Frequency Crosstalk

Page 28: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 39

Prediction at High Frequencies

Multi-conductor transmission-line models required when the circuit is electrically large, but calculations too complex for an expert system

VN

ZFEZNE Z0 Z0

Page 29: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 40

Prediction at High Frequencies

● Simplify crosstalk formulas by assuming:– Transmission line geometry is uniform along length– Homogeneous medium– Defining maximum crosstalk as:

2

1

MAX

MAX

VXV

=

Page 30: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 41

High-Frequency Coupling

VN

ZFEZNE Z0 Z0

VNZFE

ZLHS

Z0

x=0x=-x0

The maximum voltage on the culprit circuit will couple to victim at some location

The noise voltage will drive the victim’s transmission line

Page 31: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 42

Simplified formulas

Maximum crosstalk is approximately:

or

22

(1 )(1 )2(1 )

NE FEmMAX

m NE FE

CXC C

+ Γ + Γ=

+ − Γ Γ

11

(1 )(1 )2(1 )

NE FEmMAX

NE FE

lXl

+ Γ + Γ=

− Γ Γ

Page 32: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 43

Experimental setup

Wire length: 7.5 m Wire radii: 0.8 mm, 20#

Height : 1.5 cm Distance: 5 cm

Victim circuit

Culprit circuit

Near end

Far end

Page 33: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 44

Experimental results

RS = 50Ω RL = 0Ω RFE = 0Ω

The difference between the estimated and measured maximums are less than 6 dB

0 5 10 15 20 25 30 35 40-60

-50

-40

-30

-20

-10

0

10

Frequency [MHz]

Cro

ssta

lk [d

B]

Rne = 0Rne = 50Rne = 110Rne = 240

RS = 50Ω RL = 0Ω RFE = 10kΩ

Page 34: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 45

In-Vehicle Verification

The approximation did a reasonable job of predicting maximum crosstalk in the vehicle

Page 35: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

46

Radiated Emissions and Field-to-Harness Coupling

Page 36: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 47

Radiated Emissions and Field-To-Harness Coupling

● Predict radiated emissions from circuits and coupling to circuits from an external field– Gain of circuit estimated using transmission line and

antenna theory

x

zZS ZLoad

y

E

L o a d E x tV E G a in= ×

Page 37: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 48

Gain ( )

)]sin()cos(1([20 SjZSZ

DHZGain S

Load ββ +−=

)sin()()cos()( 2000 SZZZjSZZZZD LoadSLoadS ββ +++=

4λ<S

Where, H is the wire height over ground plane, S is thelength of the wire, Z0 is the characteristic impedance ofthe transmission line, ZS and Zload are source and loadimpedance respectively.

Page 38: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 49

Gain ( )

ZS < 300 ohms and ZLoad<300 ohms:

LoadS

Load

ZZHZGain

+=

4

LoadS

Load

ZZZHZZGain

+= 2

0

02

LoadS

SLoad

ZZZHZZGain

+= 2

0

2

4S λ≥

ZS < 300 ohms and ZLoad>300 ohms:

ZS > 300 ohms:

Page 39: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 50

Verification

Top view of circuit

Algorithms were verified experimentally and through simulation

Page 40: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

51

Accounting for Statistical Variation

Page 41: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 52

Accounting for Statistical Variation

● Statistical analysis may prevent over design, but must be fast for application in an expert system

● Evaluate simple statistical methods for expert system– Monty Carlo and

approximate methods

Pictures from S. Sun, J. Drewniak, and D. Pommerenke, “Common-mode radiation resulting from hand-assembled cable bundles on automotive platforms,” Proceedings of the 2006 IEEE International Symposium on EMC, vol. 2, pp. 298-303, Aug. 2006.

Page 42: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 53

Example

● Using Monte Carlo methods for 3 cm diameter harness, rw=0.5 mm– Average distance = 11 mm– Variance = 8.7 mm

● For two circuits sharing a return:

● Capacitance calculated similarly

rwG

rwR

rwo

dGR

dG dR

0

0

ln2

G Rm

GR w

d dld r

μπ

⎛ ⎞≈ ⎜ ⎟

⎝ ⎠

( )( )

( )( )

( )( )

2 2 2

G GRR

m

m d m dm dl

G R GR

d l d ld ld d d d d d

σ σσσ

⎡ ⎤ ⎡ ⎤ ⎡ ⎤≈ + +⎢ ⎥ ⎢ ⎥ ⎢ ⎥

⎣ ⎦ ⎣ ⎦ ⎣ ⎦

Page 43: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 54

Example (cont.)

● The approximate method gave about the same confidence interval as the Monte Carlo estimate

● Worst case was 5-12 dB outside confidence interval

Mutual Inductance Mutual Capacitance

Page 44: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 55

Comparison to Measurements

● Estimated values were typically near to the expected average, within the 80% confidence interval

Page 45: Expert System EMC Analysis of Automobile …. Expert System EMC Analysis of Automobile Electronics. D. Beetner. 1, T. Hubing. 2. 1. University of Missouri - Rolla. 2. Clemson University

UMR/MS&T ElectromagneticCompatibility Laboratory

Expert System EMC AnalysisAdvances in Automotive EMC Test and Design

D. Beetner 56

Conclusions

● An expert system can improve EMC early in the design– Fast– Works with limited information– Quantifies contribution of specific structures/modules/etc

● Based largely on “reasonable” worst-case estimates– Generally accurate to within a several dB to 10-30 MHz– Estimates maximum coupling within about 6 dB at higher

frequencies

● Simple methods can be used to apply statistical analysis