sesnic-analiticko modeliranje tankozicanih struktura-pregledintranet.fesb.hr/portals/0/docs/dani...

Silvestar ŠesnićFakultet elektrotehnike, strojarstva i brodogradnje

Sveučilište u Splitu

Uvod

Radovi objavljeni u 2012. godiniEMC Europe 2012SoftCOM 2012

Radovi pripremljeni u 2012. godiniIEEE Transactions on EMCEngineering Analysis with Boundary Elements

Istraživanja u tijeku…

Silvestar Šesnić: Analitičko modeliranje tankožičanih struktura – pregled rada u protekloj godini

Fakultet elektrotehnike, strojarstva i brodogradnje, Seminar znanstvenih novaka/asistenata ‐ Dani FESB‐a 2013

EMC Europe 2012, International Symposium on Electromagnetic Compatibility



EMC Europe 2012



( ) ( ) ( ) ( )( )cos4, 1, cos

2

excz

k h zI z E

Lj z k

πω ωωμ ω

⎡ ⎤⎢ ⎥−⎢ ⎥= −

Ψ ⎛ ⎞⎢ ⎥⎜ ⎟⎢ ⎥⎝ ⎠⎣ ⎦

( )

( )

22

22

22

22

2 2ln

2 2

2 2ln 1

2 2

Fr Frref ref

L Lz h z h az

L Lz h z h a

L Lz h z h ajkL

L Lz h z h a

ψ

⎛ ⎞⎛ ⎞⎜ ⎟− + + − + +⎜ ⎟⎜ ⎟⎝ ⎠= +⎜ ⎟⎛ ⎞⎜ ⎟− − + − − +⎜ ⎟⎜ ⎟⎝ ⎠⎝ ⎠

⎛ ⎞⎛ ⎞⎜ ⎟+ + + + + +⎜ ⎟⎜ ⎟⎝ ⎠Γ ⋅ − + Γ⎜ ⎟⎛ ⎞⎜ ⎟+ − + + − +⎜ ⎟⎜ ⎟⎝ ⎠⎝ ⎠

EMC Europe 2012



−0.5 −0.4 −0.3 −0.2 −0.1 0 0.1 0.2 0.3 0.4 0.50

0.5

1

1.5

2

2.5x 10

−3

Re(

I) [A

]

x [m]

GB−IBEMAnalytical

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2

x 108

0

0.001

0.002

0.003

0.004

0.005

0.006

0.007

0.008

0.009

0.01

AB

S(I

) [A

]

f [Hz]

GB−IBEMAnalytical

L=1 m, h=2 m, σ=1 mS/m, εr=10, E0=1 V/m, f=168.2 MHz

L=1 m, h=1 m, σ=1 mS/m, εr=10, E0=1 V/m

SoftCOM 2012, Symposium on Environmental Electromagnetic Compatibility



SoftCOM 2012



2a

d

( ) ( )( )

00

1

12

wL

w w

J ajZa J a

γωμωπ σ γ

=

( ) ( )( )( )

sinh,

sinheq

geq

L xI x I

L

γω ω

γ

⎡ ⎤−⎣ ⎦=

( ) ( ) ( )( )1 1

1

1, ,N

j ij i N

iI x t I x

Nω ω− − −

=

= ∑

SoftCOM 2012



L=10 m, σ=1 mS/m,1/10 μs pulse

L=5 m, σ=1 mS/m,0.1/1 μs pulse

Engineering Analysis with Boundary elements



EABE 2013



( ) ( ) ( )( )

sinh,

sinhg

L xI x I

Lγ

ω ωγ−⎡ ⎤⎣ ⎦=

( ) ( )( ) ( ) ( )

0

, cosh , ' '4 sinh

Lgsct

eff

IV x L x g x x dx

j Lγ ω

ω γπωε γ

= −⎡ ⎤⎣ ⎦∫2a

d

EABE 2013



L=30 m, σ=0.19 mS/m,1/10 μs pulse


IEEE Transactions on Electromagnetic Compatibility



IEEE TEMC 2013



( )

12 2

2 20

1

0 0

', '4

', ' 04

g

g

RvL

Rvt L

MITref

R eI x t dxx t t v R

R eI x t dx dv R

τ

τ

μμσ μεπ

μ τ τ τπ

∗

−

−∗

∗

⎡⎛ ⎞∂ ∂ ∂ ⎢ ⎛ ⎞− − ⋅ −⎜ ⎟ ⎜ ⎟⎢∂ ∂ ∂ ⎝ ⎠⎝ ⎠ ⎢

⎣⎤⎥⎛ ⎞

− Γ − − =⎥⎜ ⎟⎝ ⎠ ⎥

⎦

∫

∫ ∫

( ) ( ) ( )

1,2 1,2

102 2

1

1,2 1,2

12, sin4

n n

n

n n

s t s tt t

n n

n n L xII x tL Lb c

e e e es s

α β

ππμε

α β

−∞

=

− −

− −=

± −

⎛ ⎞− −⋅ −⎜ ⎟⎜ ⎟+ +⎝ ⎠

∑

IEEE TEMC 2013




L=50 m, 0.1/1 μs pulse

IEEE TEMC 2013



L=10 m, σ=1 mS/m, 0.1/1 μs pulse

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sesnic-analiticko modeliranje tankozicanih struktura-pregledintranet.fesb.hr/portals/0/docs/dani...

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