In this short lecture, I explain the fundamentals of electromagnetic compatibility (EMC), the basic coupling model and the coupling paths via cables, electric fields, magnetic fields as well as wave fields. Also some examples of electromagnetic interference will be shown and discussed. The talk continues with the fundamentals of the calculation in decibels using figures and levels. Finally, the basic ideas of useful measurements environments for radiated EMC tests in anechoic and reverberant conditions will be introduced.
Electromagnetic Compatibility Measurements in Reverberation Chambers
1. Electromagnetic Compatibility Measurements
in Reverberation Chambers
Mathias Magdowski
Chair for Electromagnetic Compatibility
Institute for Medical Engineering
Otto von Guericke University Magdeburg
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Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 1 / 70
2. Some words about myself
Personal background:
born in 1984
live in Magdeburg, Germany
married, two children
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 2 / 70
3. Some words about myself
Personal background:
born in 1984
live in Magdeburg, Germany
married, two children
Educational background:
2003 – 2008: studied “Electrical Engineering” at the Otto-von-Guericke-University in
Magdeburg
since 2008: Scientific co-worker at the Chair for EMC
2012: Ph. D. (Dr.-Ing.) with the dissertation “Comparison of the Coupling of
Deterministic and Stochastic Electromagnetic Field to Transmission Lines”
since 2015: teaching as flying faculty
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 2 / 70
4. Faculty for Electrical Engineering and Information Technology
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 3 / 70
5. Cathedral of Magdeburg seen from the river “Elbe”
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 4 / 70
6. Location of Magdeburg inside Germany
Magdeburg
Hannover Berlin
Dresden
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 5 / 70
10. What is EMC?
Intermediate overview
1 What is EMC?
2 Examples
3 Calculation in dB
Figures
Levels
4 Radiated EMC Measurements
5 Reverberation Chambers
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 7 / 70
11. What is EMC?
What is electromagnetic compatibility?
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 8 / 70
12. What is EMC?
What is electromagnetic compatibility?
Survey: Have you heard of
EMC before?
https://www.menti.com/123456
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 8 / 70
13. What is EMC?
What is electromagnetic compatibility?
Survey: Have you heard of
EMC before?
https://www.menti.com/123456
Electromagnetic compatibility . . .
. . . is the ability of electrical equipment and
systems to function acceptably in their
electromagnetic environment, by limiting the
unintentional generation, propagation and
reception of electromagnetic energy which
may cause unwanted effects such as
electromagnetic interference (EMI) or even
physical damage in operational equipment.
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 8 / 70
14. What is EMC?
What is electromagnetic compatibility?
Survey: Have you heard of
EMC before?
https://www.menti.com/123456
Electromagnetic compatibility . . .
. . . is the ability of electrical equipment and
systems to function acceptably in their
electromagnetic environment, by limiting the
unintentional generation, propagation and
reception of electromagnetic energy which
may cause unwanted effects such as
electromagnetic interference (EMI) or even
physical damage in operational equipment.
Aspects:
Immunity
Emission
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 8 / 70
15. What is EMC?
What is electromagnetic compatibility?
Coupling model:
Source Coupling path Victim
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 9 / 70
16. What is EMC?
What is electromagnetic compatibility?
Coupling model:
Source Coupling path Victim
Example:
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 9 / 70
17. What is EMC?
Coupling paths
(a) conducted (b) electric fields
(c) magnetic fields (d) wave fields
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 10 / 70
18. Examples
Intermediate overview
1 What is EMC?
2 Examples
3 Calculation in dB
Figures
Levels
4 Radiated EMC Measurements
5 Reverberation Chambers
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 11 / 70
24. Examples
Electrostatic discharge
Countermeasures:
protective elements in electronic devices
testing of devices with standard pulses from ESD guns
caution while handling unprotected modules
ESD-safe packaging
(a) Conducting wrist straps for dissipation of
the triboelectricity
(b) ESD-safe packing material of a network
card made of conductive plastic
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 17 / 70
25. Examples
Examples of real-life EMC problems
USS Forrestal fire in 1967:
aircraft carrier USS Forrestal (CVA-59)
before North Vietnam
electrical anomaly discharged a Zuni rocket
on the flight deck
deck contained fueled aircraft, loaded with
1000-pound bombs, as well as air-to-air and
air-to-ground missiles
devastating fire and series of chain-reaction
explosions
134 sailors killed and 161 injured
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 18 / 70
26. Examples
USS Forrestal fire in 1967
Problem:
RF voltage across the contacts of a shielded connector by the ship’s high-power
search radar
power surge when the pilot transferred his systems from external to internal power
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 19 / 70
27. Examples
Examples of real-life EMC problems
Military aircraft crash near a large radio transmitter station:
medium wave transmitter station Radio Free Europe
power of 150 kW with an antenna gain of 8
Tornado IDS aircraft passing the mean beam of the antenna
problem in the control system, ejection seats fail, two pilots dead
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 20 / 70
29. Examples
Mobile phone radiation
Active principle:
Amplitude-
modulated signal
Antenna Active speaker
with diodes
Envelope after
demodulation
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 22 / 70
31. Calculation in dB
Intermediate overview
1 What is EMC?
2 Examples
3 Calculation in dB
Figures
Levels
4 Radiated EMC Measurements
5 Reverberation Chambers
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 24 / 70
32. Calculation in dB
Decibel experience
How large is your experience with
using decibels?
excellent
good
okay
very small
no experience at all
https://www.menti.com/123456
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 25 / 70
33. Calculation in dB
Motivation
Measurement result of a spectrum analyzer:
A
TRG
RBW 10 MHz
VBW 10 MHz
SWT 50 µs
Att 20 dB
Ref −10 dBm
Center 800 MHz 5 µs/
*
1 PK
VIEW
*
2 PK
AVG
PRN
−70
−65
−60
−55
−50
−45
−40
−35
−30
−25
−20
−15
−10
SWP 4144 of 10000
1
Marker 1 [T1 ]
−24.68 dBm
51.025000 µs
2
Delta 2 [T1 ]
−23.29 dB
5.600000 µs
3
Marker 3 [T1 ]
−56.17 dBm
80.525000 µs
RBW 10 MHz
VBW 10 MHz
SWT 50 µs
Att 20 dB
Ref −10 dBm
Delta 2 [T1 ]
−23.29 dB
5.600000 µs
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 26 / 70
34. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r > 0 and b ̸= 1
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
35. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r > 0 and b ̸= 1
Product:
logb(x · y) = logb x + logb y (1)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
36. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r > 0 and b ̸= 1
Product:
logb(x · y) = logb x + logb y (1)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
37. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r > 0 and b ̸= 1
Product:
logb(x · y) = logb x + logb y (1)
Quotient:
logb
x
y
= logb x − logb y (2)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
38. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r 0 and b ̸= 1
Product:
logb(x · y) = logb x + logb y (1)
Quotient:
logb
x
y
= logb x − logb y (2)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
39. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r 0 and b ̸= 1
Product:
logb(x · y) = logb x + logb y (1)
Quotient:
logb
x
y
= logb x − logb y (2)
Power:
logb (xr
) = r logb x (3)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
40. Calculation in dB
Reminder of the logarithmic identities
Preconditions: x, y, b, r 0 and b ̸= 1
Product:
logb(x · y) = logb x + logb y (1)
Quotient:
logb
x
y
= logb x − logb y (2)
Power:
logb (xr
) = r logb x (3)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 27 / 70
41. Calculation in dB Figures
Definition of gain figures
Definition for power quantities:
P1: input power
P2: output power
GP = 10 · lg
P2
P1
dB (4)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 28 / 70
42. Calculation in dB Figures
Definition of gain figures
Definition for power quantities:
P1: input power
P2: output power
GP = 10 · lg
P2
P1
dB (4)
Definition for root power quantities (like a voltage):
U1: input voltage
U2: output voltage
GU = 10 · lg
P2
P1
dB = 10 · lg
U2
2/R
U2
1/R
dB = 20 · lg
U2
U1
dB (5)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 28 / 70
43. Calculation in dB Figures
Not to be confused with:
Figure: “Figure” of Otto von Guericke in Magdeburg
source: http://commons.wikimedia.org/wiki/File:Magdeburg_Guericke.jpg#/media/File:Magdeburg_Guericke.jpg
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 29 / 70
44. Calculation in dB Figures
Origin of the unit name bel
Alexander Graham Bell
(1847–1922)
speech therapist, engineer
and inventor
made the telephone
commercially successful
after his death all telephones
in the US were silenced for
one minute Figure: Alexander Graham Bell
(ca. between 1914–1919)
source: https:
//commons.wikimedia.org/w/index.php?curid=1559
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 30 / 70
45. Calculation in dB Figures
Some numbers to bear in mind
Table: Conversion dB – linear values
Figure Power ratio Voltage ratio
in dB approx. exact approx. exact
0 1 1 1 1
3 2 1.995 1.4 1.412
6 4 3.98 2 1.995
10 10 10 3 3.162
20 100 100 10 10
40 10 000 10 000 100 100
60 1 000 000 1 000 000 1000 1000
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 31 / 70
46. Calculation in dB Figures
Some numbers to bear in mind
Table: Conversion dB – linear values
Figure Power ratio Voltage ratio
in dB approx. exact approx. exact
0 1 1 1 1
−3 0.5 0.501 0.7 0.708
−6 0.25 0.25 0.5 0.501
−10 0.1 0.1 0.3 0.316
−20 0.01 0.01 0.1 0.1
−40 0.0001 0.0001 0.01 0.01
−60 0.000 001 0.000 001 0.001 0.001
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 32 / 70
47. Calculation in dB Levels
Definition of levels
Definition for power quantities:
P: power
P0: reference value
LP (re P0) = LP/P0
= 10 · lg
P
P0
dB (6)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 33 / 70
48. Calculation in dB Levels
Definition of levels
Definition for power quantities:
P: power
P0: reference value
LP (re P0) = LP/P0
= 10 · lg
P
P0
dB (6)
Definition for root power quantities:
U: voltage
U0: reference value
LU (re U0) = LU/U0
= 20 · lg
U
U0
dB (7)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 33 / 70
49. Calculation in dB Levels
Not to be confused with:
Figure: “Level” of the river Elbe in Magdeburg
source: https://commons.wikimedia.org/wiki/File:Pegelhaus_Magdeburg.jpg
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 34 / 70
50. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB =
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
51. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
52. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Sum of figure and level gives a level:
0 dB (mW) + 50 dB =
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
53. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Sum of figure and level gives a level:
0 dB (mW) + 50 dB = 50 dB (mW) (9)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
54. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Sum of figure and level gives a level:
0 dB (mW) + 50 dB = 50 dB (mW) (9)
Difference of two levels gives a figure:
50 dB (mW) − 0 dB (mW) =
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
55. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Sum of figure and level gives a level:
0 dB (mW) + 50 dB = 50 dB (mW) (9)
Difference of two levels gives a figure:
50 dB (mW) − 0 dB (mW) = 50 dB (10)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
56. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Sum of figure and level gives a level:
0 dB (mW) + 50 dB = 50 dB (mW) (9)
Difference of two levels gives a figure:
50 dB (mW) − 0 dB (mW) = 50 dB (10)
Sum of two levels does not make sense:
20 dB (mW) + 30 dB (mW)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
57. Calculation in dB Levels
Summary of calculation rules
Sum or difference of two figures is again a figure:
20 dB + 30 dB = 50 dB (8)
Sum of figure and level gives a level:
0 dB (mW) + 50 dB = 50 dB (mW) (9)
Difference of two levels gives a figure:
50 dB (mW) − 0 dB (mW) = 50 dB (10)
Sum of two levels does not make sense:
20 dB (mW) + 30 dB (mW) wrong! (11)
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 35 / 70
58. Radiated EMC Measurements
Intermediate overview
1 What is EMC?
2 Examples
3 Calculation in dB
Figures
Levels
4 Radiated EMC Measurements
5 Reverberation Chambers
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 36 / 70
59. Radiated EMC Measurements
How to verify the electromagnetic compatibility?
Verification of devices by:
Calculations
Simulations
Measurements
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 37 / 70
60. Radiated EMC Measurements
How to verify the electromagnetic compatibility?
Verification of devices by:
Calculations
Simulations
Measurements
Certification by the CE mark:
Conformité Européenne China Export
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 37 / 70
61. Radiated EMC Measurements
Open area test site
Figure: Open area test site at the Technical University in Dresden
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 38 / 70
70. Reverberation Chambers
Carl Baum: The Microwave-Oven Theorem
Question:
What is the difference
between a microwave oven
and a mode-stirred
chamber?
Answer:
The former cooks chicken
and the latter cooks
electronics.
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 45 / 70
98. Reverberation Chambers
Vibrating intrinsic reverberation chamber
(a) Demonstration with neon tubes (b) In-situ testing on a ship
Source: Prof. Frank Leferink, University of Twente and THALES, Netherlands
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 67 / 70
99. Reverberation Chambers
Pros and cons of EMC measurements in reverberation chambers
Advantages:
high field strength with small input power
relatively small costs
robust tests
Disadvantages:
no information about directivity or polarization
statistical electrodynamics
coupling between generator and EUT
comparability with established test environments
Mathias Magdowski (Chair for EMC) EMC Measurements in Reverb Chambers 68 / 70