Masters Theses


Fan Zhou


"The first part in the thesis discussed the modeling of the mid-frequency inductance for Zpp type plane pairs in power distribution networks (PDN). It is a key step for the placement of the decoupling capacitors. This paper gives an efficient approach for the calculation of the inductance for different capacitor placements. The PEEC based formulations takes advantage of the opposite currents in the planes. This leads to compute time reductions and memory savings for both the element calculation and the matrix solve step. A formulation is used where placement of capacitors leads to only small changes in the circuit matrix. Comparisons with other models are made to validate our results. In the second part, the application of GMI probe to measure IC switching current. IC switching current is the main noise source of many power integrity issues in printed circuit boards. Accurate measurement of the current waveforms is critical for an effective power distribution network design. In this paper, using a giant magneto-impedance (GMI) probe for this purpose is studied. A side-band detection and demodulation system is built up to measure various time-domain waveforms using an oscilloscope. It is found that the GMI probes are potentially suitable for this kind of time-domain measurements, but probe designs and measurement setups need further improvements for this application. In the third part, the new "Sigma" rule to evaluate parameters of copper surface roughness in PCB layers is presented. This approach is based on taking SEM images of PCB cross-sections. The approach is automat [sic] zed [sic] by applying image processing tools and Matlab code to evaluate average roughness amplitude and period of roughness function. This information could be used in numerical and analytical modeling, as well as in the DERM method to separate rough conductor loss from dielectric loss"--Abstract, page iv.


Fan, Jun, 1971-

Committee Member(s)

Koledintseva, Marina
Ruehli, Albert E.
Drewniak, James L.


Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering


Missouri University of Science and Technology

Publication Date

Fall 2010

Journal article titles appearing in thesis/dissertation

  • Efficient mid-frequency plane inductance computation
  • Measuring IV switching current waveforms using a GMI probe for power integrity studies measuring IC
  • New rule for evaluating conductor surface roughness


xi, 70 pages


© 2010 Fan Zhou, All rights reserved.

Document Type

Thesis - Open Access

File Type




Subject Headings

Electric circuit analysis
Impedance (Electricity)
Surface roughness -- Evaluation

Thesis Number

T 9768

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