Power dissipation in fractal AC circuits

被引：10

作者：

Chen, Joe P. ^{[1
]}

Rogers, Luke G. ^{[2
]}

Anderson, Loren ^{[3
]}

Andrews, Ulysses ^{[2
]}

Brzoska, Antoni ^{[2
]}

Coffey, Aubrey ^{[4
]}

Davis, Hannah ^{[3
]}

Fisher, Lee ^{[5
]}

Hansalik, Madeline ^{[6
]}

Loew, Stephen ^{[7
]}

Teplyaev, Alexander ^{[2
]}

机构：

[1] Colgate Univ, Dept Math, Hamilton, NY 13346 USA

[2] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

[3] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[4] Agnes Scott Coll, Dept Math, Decatur, GA 30030 USA

[5] Appalachian State Univ, Dept Math Sci, Boone, NC 28608 USA

[6] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

[7] Coe Coll, Dept Math & Comp Sci, Cedar Rapids, IA 52402 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2017年 / 50卷 / 32期

基金：

美国国家科学基金会;

关键词：

AC circuit; complex impedances; harmonic functions; analysis on fractals; SELF-SIMILAR FRACTALS; GRAPH-DIRECTED FRACTALS; SIERPINSKI GASKET; RESOLVENT KERNEL; LAPLACIAN; SPECTRA; SPACES; FORMS;

D O I：

10.1088/1751-8121/aa7a66

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We extend Feynman's analysis of an infinite ladder circuit to fractal circuits, providing examples in which fractal circuits constructed with purely imaginary impedances can have characteristic impedances with positive real part. Using (weak) self-similarity of our fractal structures, we provide algorithms for studying the equilibrium distribution of energy on these circuits. This extends the analysis of self-similar resistance networks introduced by Fukushima, Kigami, Kusuoka, and more recently studied by Strichartz et al.

引用

页数：20

共 50 条

[1] Power dissipation in fractal Feynman-Sierpinski AC circuits
Ruiz, Patricia Alonso
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (07)
[2] ESTIMATING POWER DISSIPATION IN VLSI CIRCUITS
NAJM, FN
[J]. IEEE CIRCUITS & DEVICES, 1994, 10 (04): : 11 - 19
[3] POWER DISSIPATION IN PLANAR DIGITAL CIRCUITS
KEYES, RW
[J]. IEEE JOURNAL OF SOLID-STATE CIRCUITS, 1975, SC10 (03) : 181 - 181
[4] Research On Power Dissipation of ERSFQ Circuits
Chen, Liyun
Niu, Minghui
Li, Guanqun
Gao, Xiaoping
Xu, Wanning
Ying, Liliang
Ren, Jie
Wang, Zhen
[J]. IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2021, 31 (05)
[5] Determination of electric power in ac circuits
Kraftmakher, Y
[J]. EUROPEAN JOURNAL OF PHYSICS, 2006, 27 (03) : 621 - 624
[6] AC Circuits and Power Systems in Practice
Shea, John J.
[J]. IEEE ELECTRICAL INSULATION MAGAZINE, 2020, 36 (03) : 55 - 56
[7] ACCURATE SIMULATION OF POWER DISSIPATION IN VLSI CIRCUITS
KANG, SM
[J]. IEEE JOURNAL OF SOLID-STATE CIRCUITS, 1986, 21 (05) : 889 - 891
[8] Multifractal Behavior of the Power Dissipation of CMOS Circuits
Qiang, W.
Cao, H.
[J]. EDSSC: 2008 IEEE INTERNATIONAL CONFERENCE ON ELECTRON DEVICES AND SOLID-STATE CIRCUITS, 2008, : 41 - +
[9] Simulation of power dissipation in semiconductor devices of power electronic circuits
Janke, W
Pietrenko, W
[J]. ICECS 96 - PROCEEDINGS OF THE THIRD IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS, AND SYSTEMS, VOLS 1 AND 2, 1996, : 880 - 883
[10] Estimating Power Dissipation through Thermal Measurements in Power Circuits
Fodor, A.
Chindris, G.
[J]. 2020 IEEE 26TH INTERNATIONAL SYMPOSIUM FOR DESIGN AND TECHNOLOGY IN ELECTRONIC PACKAGING (SIITME 2020), 2020, : 372 - 375

← 1 2 3 4 5 →