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1Sanaa.Zangui,
Modeling the near-field coupling of EMC filter components #Systems Simulation#TH-PM-2
MODELING THE NEAR-FIELD
COUPLING OF EMC FILTER
COMPONENTS July 29, 2010
Sanâa.ZanguiLaboratoire Ampère
Lyon, [email protected]
2
Outline
• Introduction• Aims• Equivalent model• Validation• Summary• Questions
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
3
Introduction
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
• In Power electronic
=> noises
• Low pass filter => reduce conducted noises(HF)
Power electronic
systemFilter Motor
by conduction
by radiation
Mag
nitu
de (
dB) Low pass filter
Frequency
4
Introduction
• Magnetic Coupling Analysis (Low voltage/ high current)
• Near-field Approximation. - Distance between
components<< wavelenght λ - Maximum frequency (100MHz)
=> λmax= 3meters
• Parasitic parameters and EMC Filter Performances:
- Self-parasitic
- Filter components coupling.
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
Mag
nitu
de (
dB)
1MHz30MHz
Mutuals inductances
Frequency
The self-parasitics of components
1 2
Cy2
LDM
Cy1
EPC
EPR
LDM
Cy2
ESR2
ESL2
ESR1
Cy1
ESL1
MM 2 1
M3
5
AimsTaking into account the effects of parasitic parameters in the first step of designer a filter
• Equivalent Model Components :– Model the magnetic near-field produced by filter components– Take into account the near electromagnetic environment– Integrated in an electrical circuit software
• Compute Coupling Effects
– Using the equivalent model of components– According to their geometric placement.
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
6
Equivalent model(Multipolar expansion)
• 3D EM fields : multipolar expansion
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
• The field is computed outside the sphere that contains the equivalent source.
n=1 m=0 (dipole) n=2 m=0 (quadrupole)
7
Equivalent model (Equivalent model)
• The expression of the magnetic field :
• Qnm are functions of H
• Computing H by using 3D numerical model or measurement
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
n: degree, m: azimuthal order, Ynm : The spherical harmonics functions
Qnm are parameters which need to be identified => equivalent model of the radiated field component
)),(Y)1(
(Q4
1H nm2nm
nr
n
8
Equivalent model (Mutual inductance)
• Using the equivalent radiated field source model.
• The spheres which contain each of the sources don’t intersect
• The expression of the mutual inductance is:
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
Sphere 2 Sphere 1Z21
r2 r1
r
L2 L1
H
Z
X
Y
The coefficients of the multipolar expansion of sources 1 and 2 must be expressed in the same reference => translation.
)Q*Q()1(11
2nmm1n,
max
10
02
12
21
N
n
n
nm
m
kiijM
9
Equivalent model (Computing method)
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
Component 1 Component 2
H1 field by numerical modeling
or measurement
H2 field by numerical modeling
or measurement
Q1nm Computation Q2nm Computation
Equivalent model 1 Equivalent model 2
Rotation + translation in the reference1 of Q2nm => Q’2nm
Computation of the mutual inductance M in fonction of Q1nm and Q’2nm
The translation is based on the“Addition Theorem for Vector Spherical Harmonics”
10
Equivalent model (Numerical modeling)
• H field by FEM method(Flux3D®)
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
Infinite box
Sphere of validity
Element to modeling
Normal component of H => Qnm => equivalent model => mutual inductance
To result this case :
- Flux3D => 2000 unknows
- Multipolar expansion :
For n=Nmax=3 =>15unknows For n=Nmax=5 => 35unknows
11
Validation(case 1)
• Our result was compared to the numerical result computed by FEM(Flux3D cedrat).
• Two loops, C1 and C2 with a radius “Rspire” of 10 cm, separated by r
• At r =0.2m the error is greater for Nmax=3 than Nmax=5
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
0.2 0.4 0.6 0.8 10
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6x 10
-8
2*Rspire r 1 (m)
Mut
ual i
nduc
tanc
e (H
)
Nmax = 3 Nmax = 5Flux3D
0.2 0.4 0.6 0.8 10
2
4
6
8
10
12
2*Rspire r 1m
Rel
ativ
e er
ror
com
pare
d to
Flu
x3D
(%
)
Nmax=3Nmax=5
X
Y
Sphere 2
Sphere 1
r
C1
C2
Z
a1
a2
Relative error (%)Mutual inductance(H)
12
Validation(case 2)
• For the same previous loops C1 and C2
• For a rotation of 45° around the y axis of the loop C2
• The results are similar to the previous case
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
0.2 0.4 0.6 0.8 10
0.2
0.4
0.6
0.8
1
1.2
1.4x 10
-8
2*Rspire r 1 (m)
Mut
ual i
nduc
tanc
e (H
)
Nmax = 3 Nmax = 5Flux3D
0.2 0.4 0.6 0.8 10
1
2
3
4
5
6
7
8
9
2*Rspire r 1m
Rel
ativ
e er
ror
com
pare
d to
Flu
x3D
(%
)
Nmax=3Nmax=5
X
Y
Sphere 2
Sphere 1r
C1
C2
Z
a1
a2
Z2
= 45°
Mutual inductance(H)Relative error (%)
13
Summary
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components
• The method is validated :– Using multipolar expansion => equivalent model of the radiated field of
components.– Using the equivalent model to compute the coupling (Mutual inductance) between
components.
• Apply this method to more complex components. • Measurement system that measures Qnm components .
• Couple this method with Partial Element Equivalent Circuit (PEEC)=> filter modeling including all coupling (track/track, components/components, components/track).
• The cylindrical harmonics can be considered for modeling components such as capacitors or cables.
• Provide component libraries including models of coupling between power electronic components.
14
Questions
Sanaa.Zangui, Modeling the near-field coupling of EMC filter components