By Istvan Novak, Jason R. Miller
Energy distribution networks (PDNs) are key parts in modern high-performance digital circuitry. They make sure that circuits have a continuing, reliable offer of energy. The complexities of designing PDNs were dramatically decreased through frequency-domain research. This ebook examines step by step how electric engineers can use frequency-domain recommendations to thoroughly simulate, degree, and version PDNs. It courses engineers in the course of the bits and bobs of those suggestions to make sure they boost the appropriate PDN for any kind of circuit. Circuit engineers achieve worthy perception from the book's top practices for measuring, simulating, and modeling. sensible examples illustrate each section in PDN improvement from fabric characterization and part layout to modeling the total community.
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Additional info for Frequency-Domain Characterization of Power Distribution Networks (Artech House Microwave Library)
As memory resources are strained, disk-swapping increases, which often increases the solution time dramatically. , mesh-refinement steps). Also, the maximum phase change, should also be verified for convergence. , by visually identifying local minima). Another approach is to plot the S-parameter values directly as a function of the number of passes; we would expect to see the S-parameters approach a final value with each subsequent pass. 1000 Max. Mag. Delta-S [-] 10 Max. 9 (a) Convergence of the maximum magnitude Delta-S.
17 Simulated self-impedance of a plane pair with an 8-µm-thick dielectric when solving inside the conductor and not solving inside. 18 Simulated self-impedance of a plane pair using a fixed dielectric constant and loss tangent at 1 MHz. The common dark trace on both plots shows measured results. Part (b) is an enlarged view of (a) showing correlation with the higher-order modes. 19 structure. Extracted dielectric constant and loss tangent from the measured plane pair test higher dielectric constant.
For example, in HFSS, the solver interpolates field quantities from both nodal values at vertices and on edges using 20 unknowns per tetrahedron. A low-order mode is available that instead interpolates the field quantities using the nodal values at vertices only, reducing the number of unknowns to six per tetrahedron. Using only six unknowns per tetrahedron solves much more rapidly, but can also introduce inaccuracy. 30 shows a test structure for measuring the impedance of a 0306 mounted decoupling capacitor along with the equivalent 3D model.
Frequency-Domain Characterization of Power Distribution Networks (Artech House Microwave Library) by Istvan Novak, Jason R. Miller