Efficient Sensitivity Calculations for Optimization of Power Delivery Network Impedance

This paper presents efficient algorithms for sensitivity calculations of power delivery network (PDN) impedance. The sensitivity algorithm is based on the adjoint system method. Efficient calculation of sensitivity is critical for optimization of complex PDNs. The frequency-domain design of a PDN is...

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Bibliographic Details
Published inIEEE transactions on electromagnetic compatibility Vol. 52; no. 2; pp. 332 - 339
Main Author Engin, A Ege
Format Journal Article
LanguageEnglish
Published New York IEEE 01.05.2010
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Algorithm design and analysis
Algorithms
Decoupling
Design engineering
Electromagnetic compatibility
ground bounce
Impedance
Integrated circuits
Mathematical analysis
Mathematical model
Networks
Noise
Optimization
power delivery network (PDN)
power integrity optimization
Sensitivity
simultaneous switching noise
target impedance
Woodbury formula
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Summary:This paper presents efficient algorithms for sensitivity calculations of power delivery network (PDN) impedance. The sensitivity algorithm is based on the adjoint system method. Efficient calculation of sensitivity is critical for optimization of complex PDNs. The frequency-domain design of a PDN is a multiobjective optimization problem, which is formulated as a minimax problem in this paper. The design variables are typically the decoupling capacitors (decaps). The objective function is the input impedance of the PDN calculated at relevant frequencies. This paper also presents an efficient algorithm for large-change sensitivity calculations. Based on this method, what-if scenarios can be simulated efficiently, such as the addition, modification, or relocation of a few decaps or a small change in the geometry.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0018-9375
1558-187X
DOI:10.1109/TEMC.2010.2042059