Characterization of Circuit Components Using S-Parameters Chapter 1.
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Transcript of Characterization of Circuit Components Using S-Parameters Chapter 1.
![Page 1: Characterization of Circuit Components Using S-Parameters Chapter 1.](https://reader036.fdocuments.us/reader036/viewer/2022062407/56649cb65503460f9497b797/html5/thumbnails/1.jpg)
Characterization of Circuit Components Using
S-Parameters
Chapter 1
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Topic• S-Parameters– S1P– S2P
• Y-Parameters• Components–Wires– Inductors– Resistors– Capacitors– S-parameter Extraction
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One-Port S-Parameter
Incident wave (V1+) is Vin/2 (as if Zin=RS)
Voltage at the input of the receiver is Zin/(Zin+RS)Vin
Vin=V1-+V1
+
V1-=Vin -V1
+
V1-= Zin/(Zin+RS)Vin- Vin/2
=(Zin-RS)/[2(Zin+RS)]VinV1
-/ V1+ =(Zin-RS)/(Zin+RS)
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One-Port S-Parameter
Series RLC with resonant frequency at
Resistance at resonant frequency: RL
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Design a Series RLC Resonant Circuit
RL=50 ΩL1=2.4 mHRS=50 Ωfres=1 MHz
What is C1?
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Design a Series RLC Resonant Circuit
RL=50 ΩL1=2.4 mHRS=50 Ωfres=1 MHz
What is C1?C1=1/(Lω2
res)
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One-Port S-parameter
Power delivered to the load
Power reflected to the source
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Two-Port S-parameter
Reflected wave
Incident Wave generated by Vin
Actual voltage measured at the input of the two-port network: V1
++V1-
Actual voltage measured at the output of the two-port network: V2
++V2-
Incident wave into the output port or wave reflected from RL
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S11
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S11
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S12
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S12
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S22
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S22
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S21
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S21
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Y-Parameters
Yo=1/Zo
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Calculate Y-Parameters Using ADS
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Wires
• In the AWG system, the diameter of a wire will roughly double every six wire gauges. E.g.
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Skin Effect (Eddy Current)
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Skin Depth
The skin depth is thus defined as the depth below the surface of the conductor at which the current density has fallen to about 37% of its surface current density.
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Inductance of a Straight Wire
• breadboard wire: 22 AWG or 25.3 mils in diameter.
• Each mil =25.4 um or 0.0643 cm.• 5 cm of a No. 22 copper wire produce about 50
nH of inductance.
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Resistors
• Carbon-composition resistor• Wirewound resistor• Carbon-film resistor
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Carbon-Composition Resistors
Carbon composition resistors consist of a solid cylindrical resistive element with embedded wire leads. The resistive element is made from a mixture of finelyground (powdered) carbon and an insulating material (usually ceramic). The resistance is determined by the ratio of the fill material (the powdered ceramic) to the carbon. Higher concentrations of carbon, a good conductor, result in lower resistance. The parasitic capacitance arisesout small capacitance between carbon fill. More expensive than carbon film resistor.
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Wirewound Resistors
• Wirewound resistors are commonly made by winding a metal wire around a ceramic core.
• The inductance is much larger than a carbon composition resistor
• Poor temperature drift coefficient• Too much L and C to be useable at high frequencies
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Carbon Film Resistor
• Less expensive than carbon-composition resistors• Can drift with temperature and vibration• A carbon film is deposited on an insulating
substrate, and a helix is cut in it to create a long, narrow resistive path.
(Partially exposed)
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Generic Resistor Model
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Example8.7 nH 8.7 nH10K
0.3 pF
At 200 MHz
Impedance associated inductor is negligible
A 10 Kohm resistor looks like a 2564.3 resistor at 200 MHz.
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Insert an Equation in ADS
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Impedance at 200 MHz
10 KohmAt DC
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Extract Resistance from Y11
R=1/(0.0001) =10 KΩ
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Extract Capacitance (1)
Slope is constant!
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Extract Capacitance (2)C=Y11imag_deriv/2/π=1.88 pF/2/3.1416=0.2992 pF
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Generic Equivalent Circuit for a Capacitor
L: inductance of the leadsRp: account for leakage current
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Quality Factor of a Simplified Capacitance Model
Quality factor= Im[Z]/Re[Z] =1/(ωRC)
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Generic Equivalent Circuit for an Inductor
Series resistance+skin resistance
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Extraction Example
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Parasitic Resistance of an Inductor
R=1/0.033=30.3 Ω
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Inductance Extraction
L=R/(2πfL) =29.73 nH
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Parasitic Capacitance of an Inductor
Capacitance: 117.14 fF
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Quality Factor of a Simplified Inductor Circuit Model
Q=Quality factor= Im[Z]/Re[Z] = (ωL) /(R)
Larger Q, better inductor
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Additional Slides
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Metal Film Resistor
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Thin-Film Chip Resistor