Two port impedance, negative inductance?

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SUMMARY

The discussion focuses on the extraction of inductance from complex impedance measurements using two-port network analysis in Mentor's HyperLynx software. The user successfully generated S-parameter files and converted them to normalized Z-parameters in MATLAB. However, they encountered a negative inductance value of -4.78e-10 H due to an error in the conversion process between S-parameters and Z-parameters, which inverted the imaginary component's polarity. The issue was identified as a conversion mistake, highlighting the importance of accurate parameter transformation in impedance analysis.

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  • Understanding of two-port network analysis
  • Familiarity with S-parameters and Z-parameters
  • Experience with Mentor HyperLynx for circuit simulations
  • Proficiency in MATLAB for data manipulation and analysis
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  • Review the process of converting S-parameters to Z-parameters accurately
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  • Explore advanced features of Mentor HyperLynx for impedance simulations
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Electrical engineers, circuit designers, and researchers involved in impedance measurement and analysis, particularly those working with decoupling capacitors and parasitic inductance in power distribution networks.

hadoque
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Hi
I'm doing simulations in preparation for experimental measurements of decoupling capacitor parasitic inductance. I've done simulations of two port measurements, in mentors hyperlynx, of parallel capacitors on small power planes. These have given me s2p files that I've converted to normalized z-parameters in matlab.
So, I want to extract inductance from the complex impedance. To do this I use
<br /> L = \frac{\Im(z12)}{2\pi f}<br />
Taking a measurement in f=1.326e8Hz, where inductance dominates, gives me L = -0.3982/(2*pi*1.326e8)=-4.78e-10H. So, negative inductance! What am I missing here? Figure 1 and 2 shows |z| and re(z) and im(z).
 

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OK, I found it, there is something wrong with my conversion between S and Z, causing imaginary part to become opposite polarity.
 

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