Design and Realization of 5th Order Asymmetric Cross Coupled ...
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Transcript of Design and Realization of 5th Order Asymmetric Cross Coupled ...
Design and Realization of 5th Order
Asymmetric Cross Coupled Coaxial Resonator
Filter
By Muhammad Latif
Manager
Satellite Research and Development
Center SUPARCO Lahore
1. Filter Synthesis Process
2. Filter Realization by Full-wave Simulation
3. Low-pass Prototype Filter design
4. Low-pass to Bandpass Filter transformation
5. Filter Topology
6. Electrical Circuit of multiple Coupled Resonators
7. coupling matrix Synthesis and Reconfiguration
8. Verification of Coupling matrix with Ansoft Designer
9. Coaxial Resonator Design
10. HFSS structure for Input and output Design
11. HFSS structure for Inter-resonator Iris Design
12. HFSS structure for Inter-resonator Loop Design
13. HFSS structure of complete Filter
14. Initial Results of Filter
15. Tolerance Analysis of Coupling Matrix
16. Final Results of Filter
17. Comparison of Initial Design and Optimized Design
18. Conclusion
Contents
Filter Specifications Selection of Filter Technology Type
Select Filter Topology
Polynomial Generation
Rejection Lobe Optimization
Group Delay Equalization
Synthesis of Coupling Matrix
Reconfiguration of Coupling Matrix
Conform Specifications
3
Coupling Matrix Resonator Design Input Coupling
Design
Inter-resonator Couplings Design
Resonator Loading Integration of Sub-
structures
Fine tuning of full structure
Manufacturing Post-manufacturing
Tuning
4
Specification Value
Center Frequency 2.04GHz
Bandwidth 50MHz
Insertion Loss ≤1dB
Return Loss ≥20dB
Out of band rejection ≥80dB @(2.19-2.240)GHz
Filter Design Specifications
TZ1= 1.7j; TZ2= 2.7j; TZ3=5.8j; TZ4=∞; TZ5=∞
Ps = 1.0000i*S^3+ 10.2000*S^2 -30.1100i*S -26.6220
Fs = 1.0000*S^5 - 0.6041i*S^4+ 1.1051*S^3 - 0.5865i*S^2+ 0.2049*S - 0.0668i
Es = 1.0000*S^5+ (2.2480 - 0.6041i) *S^4+ (3.6319 - 1.4792i) *S^3+
(3.3579 - 2.3855i) *S^2+( 1.7621 - 2.1248i) *S+(0.2747 - 0.8660i)
Low-pass Prototype Filter design
-4 -2 0 2 4 6 8-180
-160
-140
-120
-100
-80
-60
-40
-20
0Frequency Response of prototype Chebyshev Filter
Frequency (rad/s)
Retu
rn/I
nsert
ion L
oss
num2str(RL)dB
ReturnLoss
InsertionLoss
Return Loss line
Low-pass Prototype Filter design-continued
1.6 1.7 1.8 1.9 2 2.1 2.2 2.3 2.4 2.5-120
-100
-80
-60
-40
-20
0
Frequency (GHz)
Retlos&
Inslo
s (
dB
)
Insertion Loss and Return loss of a filter
X: 2.04
Y: -0.522
X: 2.18
Y: -89.61
X: 2.25
Y: -81.5
Retlos
Inslos
Low-pass to Bandpass Filter
transformation Qu=2000; IL=0.52dB; RL=22dB; rejection (82-89)dB
Load
5
4
3 2
1
Source
3 2
4
5
1
(c)
(b) (a)
(d)
Filter Topology
Electrical Circuit of multiple Coupled
Resonators
Coupling Matrix Generation
(a)
(b)
coupling matrix Reconfiguration to the
desired topology
0 0 0 0 0
Port1
Port2
c1
L4
04
c1
C4
05Q
u
R4
06 Q
u
R4
07 C
2
C4
08 C
2
L4
09
Qu
R4
10 C
3
C4
11 C
3
L4
12
Qu
R4
13 C
4
C4
14 C
4
L4
15
JIN
V
JINV
JINV
JINV JINV
JINV
Qu
R4
38 C
5
C4
39 C
5
L4
40
JINV
JINV
JINV
1.90 1.95 2.00 2.05 2.10 2.15 2.20 2.25 2.30F [GHz]
-120.00
-100.00
-80.00
-60.00
-40.00
-20.00
0.00
Y1
Ansoft LLC FilterAnalysisXY Plot 1 ANSOFT
m1 m2m3
m4
m5
Curve Info
dB(S(Port1,Port1))LinearFrequency
dB(S(Port1,Port2))LinearFrequency
Name X Y
m1 2.0150 -0.6272
m2 2.0400 -0.5239
m3 2.0650 -1.4977
m4 2.1900 -96.3931
m5 2.2400 -82.5586
(a)
(b) (c)
Verification of Coupling matrix with Circuit
Simulator
(a) (b)
Coaxial Resonator Design
Electrical length=63.28deg
Physical length=25.85mm
Box size=30*30*31.85mm
Unloaded Q=3750(Aluminum)
================== Number of Passes Completed : 20 Maximum : 20 Minimum : 1 ================== Criterion : Max Delta Freq. % Target : 0.01 Current : 0.022749 Target Consecutive Passes : 1 Current Consecutive Passes : 0 Converged : No ================== Pass Number|Total Tetrahedra|Max Delta Freq. %| 1| 1036| N/A| 2| 1183| 1.1723| 3| 1373| 0.52748| 4| 1560| 0.38407| 5| 1794| 0.29837| 6| 2164| 0.8101| 7| 2322| 0.077498| 8| 2825| 0.6717| 9| 3450| 0.23441| 10| 3758| 0.096755| 11| 4111| 0.043633| 12| 4570| 0.11315| 13| 5005| 0.056083| 14| 5485| 0.038865| 15| 5945| 0.049899| 16| 6567| 0.036722| 17| 7163| 0.03336| 18| 7932| 0.032606| 19| 8695| 0.026919| 20| 9710| 0.022749| Frequency= 2.03700011347 + 0.000271174147375 j GHz Q=3755
Coaxial Resonator Design-continued
2.000 2.020 2.040 2.060 2.080 2.100Freq [GHz]
2.00
4.00
6.00
8.00
10.00
12.00
Gro
up
De
lay(
1,1
)*1
e9
Ansoft LLC IOCouplingXY Plot 2
m1Curve Info max XAtYMax
GroupDelay(1,1)*1e9Setup1 : Sw eep1
11.6330 2.0570
Name X Y
m1 2.0570 11.6330
(a)
(b) (c)
Input and output Coupling Design
Design Values Physical
Dimensions
Simulation
Results
Design
Requirement
F0(GHz)
Connector
Displacement
5.25mm 11.32 ns 11.335ns 2.082
Coupling Mij Coupling Bandwidth
(MHz)
M12 45.070
M23 21.4200
M34 25.1050
M45 45.7500
M14 7.3400
M24 20.92
M15 0.7
Design Values Physical Dimensions Simulation Results F0(GHz)
a_m12 16.95mm 45.107 MHz 2.0097
a_m23 11.85mm 21.45MHz 2.023
a_m34 12.73 mm 25.25 MHz 2.021
a_m45 17.1 mm 45.8500 MHz 2.010
a_m14 W=9.1
h(depth)=15mm
7.37 2.032
(a)
(b)
Inter-resonator Coupling Iris Design
(a) (b)
1.950 1.975 2.000 2.025 2.050Freq [GHz]
-87.50
-75.00
-62.50
-50.00
-37.50
-25.00
-12.50
0.00
Y1
Ansoft LLC M24XY Plot 2
m1
m2
Curve Info
dB(S(1,1))Setup1 : Sw eep2
dB(S(2,1))Setup1 : Sw eep2
Name X Y
m1 1.9975 -16.7557
m2 2.0230 -6.7911
Name Delta(X) Delta(Y) Slope(Y) InvSlope(Y)
d(m1,m2) 0.0255 9.9646 390.7682 0.0026
(c)
Inter-resonator Loop Design
Design
Values
Physical Dimensions Simulation
Coupling
bandwidth
(MHz)
Design
Coupling
bandwidth
(MHz)
F0(GHz)
M24 Probe length=18.6mm
Diameter=2.5mm
Depth from top=14.77mm
Aperture depth=20mm, width=5.88
20.92 21. 2.025
M15 Aperture depth=5mm
width=6mm
length=8.6mm
Probe length=13.5mm
Diameter=1.5mm
Depth from top=14.2mm
0.8MHz 0.7MHz 2.02
Inter-resonator Loop Design-continued
Required Resonator
frequency (MHz)
Tuning screw
penetration.(mm)
M11=0.0547 ;F11=2.0386 5.89
M22=-0.0613;F22=2.0415 4.85
M33=-0.7117 ;F33=2.0579 4.99
M44=0.0746 ;F44=2.0381 4.82
M55=0.0525 ;F55=2.0387 5.9
(a)
Resonator Tuning for given Frequency
Complete Filter structure Simulation
Large Computational problem; almost 450,000 tetrahedral elements;45minutes for
one simulation on HPC
Filter Size Length=100mm, width =68mm, height=48(Assumptions: wall
thickness=3mm, screw-bed =2mm, screw height on top=4mm
wi=(-mii*w0*BWF+sqrt((mii*w0*BWF)^2+4*w0^2))/2;
1.90 2.00 2.10 2.20 2.30 2.40 2.50 2.60Freq [GHz]
-100.00
-80.00
-60.00
-40.00
-20.00
0.00
Y1
Ansoft LLC CompleteFilterV5XY Plot 2
m1
m4
m5Curve Info
dB(S(1,1))Setup1 : Sw eep2
dB(S(2,1))Setup1 : Sw eep2
Name X Y
m1 2.0800 -32.6629
m2 2.6150 -92.7610
m3 2.8100 -99.0697
m4 2.0500 -6.2307
m5 2.0450 -0.8075
(a)
(b)
Initial Results of Filter
-6 -4 -2 0 2 4 6-160
-140
-120
-100
-80
-60
-40
-20
0
Frequency (GHz)
Retlos&
Inslo
s (
dB
)
Insertion Loss and Return loss of a filter
Retlos
Inslos
(a )Analysis of M14 at .1468,.155,.16
-6 -4 -2 0 2 4 6-160
-140
-120
-100
-80
-60
-40
-20
0
Frequency (GHz)
Retlos&
Inslo
s (
dB
)
Insertion Loss and Return loss of a filter
Retlos
Inslos
(b)Analysis of M15 at .014,.01,.005
-6 -4 -2 0 2 4 6-160
-140
-120
-100
-80
-60
-40
-20
0
Frequency (GHz)
Ret
los&
Insl
os (
dB)
Insertion Loss and Return loss of a filter
Retlos
Inslos
(c)Analysis of M24 at .422,.48,.55
Tolerance Analysis of Coupling Matrix
1.95 2.00 2.05 2.10 2.15 2.20 2.25 2.30 2.35Freq [GHz]
-140.00
-120.00
-100.00
-80.00
-60.00
-40.00
-20.00
0.00
Y1
Ansoft LLC CompleteFilterV7XY Plot 2 ANSOFTm1 m2
m3
m6
m7
m8
m5m4
Curve Info
dB(S(1,1))Setup1 : Sw eep2
dB(S(2,1))Setup1 : Sw eep2
Name X Y
m1 2.0150 -0.1992
m2 2.0650 -0.0461
m3 2.0150 -13.8186
m4 2.0650 -20.1650
m5 2.0260 -17.0211
m6 2.0970 -48.3485
m7 2.1900 -97.1355
m8 2.2400 -86.2095
Final Results of Filter
Conclusion
1. Filter was synthesized as per specifications
2. Filter was realized utilizing full-wave EM Simulator
3. Now filter is on the course of manufacturing and post-
manufacturing tuning will be performed soon.