Two port impedance, negative inductance?

AI Thread Summary
The discussion focuses on simulations of decoupling capacitor parasitic inductance using two-port measurements in Mentor's HyperLynx. The user converted S-parameters to normalized Z-parameters in MATLAB to extract inductance. They calculated a negative inductance value, which raised questions about the accuracy of their results. Upon further investigation, they identified an error in the conversion process from S to Z parameters, leading to an incorrect polarity in the imaginary part. This highlights the importance of accurate parameter conversion in impedance measurements.
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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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