Doctoral Dissertations


Dazhao Liu

Keywords and Phrases

Antenna-mode Current; Cable Harness


"In the Section 1, it introduces a methodology to simulate the currents and fields during an air discharge ESD into a product by combining a linear description of the behavior of the DUT with a non-linear arc resistance equation. The most commonly used test standard IEC 61000-4-2 requires using contact mode discharges to metallic surfaces and air discharge mode to non-conducting surfaces. This paper proposes a method that combines the linear ESD generator full wave model and the non-linear arc model to simulate currents and fields in air discharge mode. In Section 2, when simulating surface and thin wire structures, full wave MoM method is accurate, but time consuming. On the other hand, conventional Mulit-conductor Transmission Line Theory (MTL) provides a very simple model, but can only deal with Transmission Line (TL-) mode current. A proposed Multi-Scattering method by hybrid of MTL and surface MoM can be used to calculate interactions between surface and thin wire structures. After only a few scattering, the wire current value can match the result obtained by full wave MoM method. In Section 3, a fast method to calculate the admittance matrix of Through Silicon Vias (TSVs) is proposed. The silicon dioxide layers are equivalently modeled using the positive bound charge on the conductor surfaces as well as the equal amount negative bound charge on the dielectric interface between the silicon dioxide and the silicon regions. Unknown densities of both the free and bound surface charge are expanded using the axial harmonics. Galerkin's method is then applied to obtain the capacitance and conductance matrices"--Abstract, page iii.


Fan, Jun, 1971-

Committee Member(s)

Pommerenke, David
Drewniak, James L.
Beetner, Daryl G.
Dubroff, Richard E.
OKeefe, Matt


Electrical and Computer Engineering

Degree Name

Ph. D. in Electrical Engineering


Missouri University of Science and Technology

Publication Date

Fall 2013


xi, 113 pages

Note about bibliography

Includes bibliographical references (pages 104-112).


© 2013 Dazhao Liu, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Electronic circuits -- Computer simulation
Electric discharges
Moments method (Statistics)
Multiconductor transmission lines

Thesis Number

T 10406

Electronic OCLC #