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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 吳宗霖 | |
dc.contributor.author | Chiu-Chih Chou | en |
dc.contributor.author | 周求致 | zh_TW |
dc.date.accessioned | 2021-07-09T15:53:40Z | - |
dc.date.available | 2022-08-23 | |
dc.date.copyright | 2019-08-23 | |
dc.date.issued | 2019 | |
dc.date.submitted | 2019-08-08 | |
dc.identifier.citation | [1] A. E. Ruehli, “Equivalent circuit models for three-dimensional multiconductor systems,” IEEE Trans. Microw. Theory Techn., vol. 22, no. 3, pp. 216-221, Mar. 1974.
[2] J. M. Jin, The Finite Element Method in Electromagnetics, 3rd ed., Hoboken, NJ: Wiley, 2014. [3] R. F. Harrington, Field Computation by Moment Methods, 1st ed., NY: Macmillan, 1968. [4] A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed., Norwood, MA: Artech House, 2005. [5] A. E. Ruehli, “Inductance calculations in a complex integrated circuit environment,” IBM J. Res. Develop., vol. 16, no. 5, pp. 470–481, Sept. 1972. [6] C.-W. Ho, A. E. Ruehli, and P. A. Brennan, “The modified nodal approach to network analysis,” IEEE Trans. Circuits and Systems, vol. cas-22, no. 6, pp. 504–509, June 1975. [7] L. O. Chua, C. A. Desoer, and E. S. Kuh, Linear and Nonlinear Circuits, NY: McGraw-Hill, 1987. [8] A. E. Ruehli and H. Heeb, “Circuit models for three-dimensional geometries including dielectric,” IEEE Trans. Microw. Theory Techn., vol. 40, no. 7, pp. 1507–1516, July 1992. [9] A. Ruehli, G. Antonini, J. Esch, J. Ekman, A. Mayo, and A. Orlandi, “Nonorthogonal PEEC formulation for time- and frequency-domain EM and circuit modeling,” IEEE Trans. Electromagn. Compat., vol. 45, no. 2, pp. 167-176, 2003. [10] A. E. Ruehli, G. Antonini, and L. Jiang. “Skin-effect loss models for time- and frequency-domain PEEC solver,” Proc. IEEE, vol. 101, no. 2, pp. 451-472, Feb. 2013. [11] J. D. Jackson, Classical Electrodynamics, 3rd ed., NY: Wiley, 1999. [12] R. F. Harrington, Time Harmonic Electromagnetic Fields, NY: Wiley-IEEE Press, 2001. [13] D. J. Griffiths, Introduction to Electrodynamics, 3rd ed., NJ: Prentice-Hall, 1999. [14] Y. Wang, V. Jandhyala, and C.-J. Shi,“Coupled electromagnetic-circuit simulation of arbitrarily-shaped conducting structures,” in Proc. IEEE Elect. Perf. Electron. Packag. Conf., Cambridge, MA, Oct. 2001, pp. 233–236. [15] A. E. Ruehli, G. Antonini, and L. Jiang. Circuit Oriented Electromagnetic Modeling Using the PEEC Techniques. Hoboken NJ: Wiley-IEEE Press 2017. [16] C. Wollenberg and A. Gurisch, “Analysis of 3-D interconnect structures with PEEC using SPICE,” IEEE Trans. Electromagn. Compat., vol. 41, no. 4, pp. 412-417, Nov. 1999. [17] H. Heeb and A. E. Ruehli, “Three-dimensional interconnect analysis using partial element equivalent circuits,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 39, no. 11, pp. 974-982, Nov 1992. [18] J. Nitsch, F. Gronnwald, and G. Wollenberg. Radiating Nonuniform Transmission-Line Systems and the Partial Element Equivalent Circuit Method. Hoboken NJ: Wiley, 2009. [19] Kochetov, S. V. “Time- and frequency-domain modeling of passive interconnection structures in field and circuit analysis.” Habilitation Dissertation, Otto-von-Guericke-University Magdeburg, Germany, 2008. [20] P. J. Restle, A. E. Ruehli, S. G. Walker and G. Papadopoulos, “Full-wave PEEC time-domain method for the modeling of on-chip interconnects,” IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 20, no. 7, pp. 877-886, Jul 2001. [21] A. E. Ruehli and A. C. Cangellaris, “Progress in the methodologies for the electrical modeling of interconnects and electronic packages,” Proc. IEEE, vol. 89, no. 5, pp. 740–771, May. 2001. [22] Y. Dou and K.-L. Wu, “A passive PEEC-based micromodeling circuit for high speed interconnection problems,” IEEE Trans. Microw. Theory Techn., vol. 66, no. 3, pp. 1201-1214, Mar. 2018. [23] B. P. Nayak, S. R. Vedicherla and D. Gope, “Nonorthogonal 2.5-D PEEC for Power Integrity Analysis of Package-Board Geometries,” IEEE Trans. Microw. Theory Techn., vol. 65, no. 4, pp. 1203-1214, April 2017. [24] H. Chen, Y. Du and M. Chen, “Lightning Transient Analysis of Radio Base Stations,” IEEE Trans. Power Del., vol. 33, no. 5, pp. 2187-2197, Oct., 2018. [25] J. Park, J. Lee, B. Seol and J. Kim, “Fast and Accurate Calculation of System-Level ESD Noise Coupling to a Signal Trace by PEEC Model Decomposition,” IEEE Trans. Microw. Theory Techn., vol. 65, no. 1, pp. 50-61, Jan. 2017. [26] S. Thamm, S. V. Kochetov, G. Wollenberg and M. Leone, “Alternative PEEC Modeling with Partial Reluctances and Capacitances for Power Electronics Applications,” 2007 7th International Symposium on Electromagnetic Compatibility and Electromagnetic Ecology, Saint-Petersburg, 2007, pp. 56-59. [27] L. K. Yeung and K.-L. Wu, “PEEC modeling of radiation problems for microstrip structures,” IEEE Trans. Antennas Propag., vol. 61, no. 7, pp. 3648–3655, July. 2013. [28] N. Xia, M. Tian, Y. Fu, Q. Zhou and J. Guo, “A Hybrid Meshing Technique for Ferromagnetic Structure Based on PEEC Method,” IEEE Trans. Magn., vol. 51, no. 11, pp. 1-4, Nov. 2015. [29] C.-C. Chou, W.-C. Lee, and T.-L. Wu, “A rigorous proof on the radiation resistance in generalized PEEC model,” IEEE Trans. Microw. Theory Techn., vol. 64, no. 12, pp. 4091-4097, Dec. 2016. [30] C.-C. Chou and T.-L. Wu, “Direct Simulation of the Full-Wave Partial Element Equivalent Circuit Using Standard SPICE [Application Notes],” IEEE Microwave Magazine, vol. 20, no. 6, pp. 22-34, June 2019. [31] G. Wollenberg and S. V. Kochetov, “Fast computation of radiated power distribution in coupled wire systems by the PEEC method,” 2003 IEEE Int. Symp. on Electromagn. Compat., 2003. EMC '03., Istanbul, 2003, pp. 1152-1155 Vol. 2. [32] Y. S. Cao, L. J. Jiang, and A. E. Ruehli, “Distributive radiation and transfer characterization based on the PEEC method,” IEEE Trans. Electromagn. Compat., vol. 57, no. 4, pp. 734–742, Aug. 2015. [33] L. K. Yeung and K.-L. Wu, “Generalized partial element equivalent circuit (PEEC) modeling with radiation effect,” IEEE Trans. Microw. Theory Techn., vol. 59, no. 10, pp. 2377–2384, Oct. 2011. [34] R. S. Elliott, Antenna Theory and Design, 2nd ed., Wiley-IEEE Press, 2003, pp. 64. [35] A. Ishimaru, Electromagnetic Wave Propagation, Radiation, and Scattering, NJ: Prentice Hall, 1991, pp. 279–281. [36] S. A. Schelkunoff, “Theory of antennas of arbitrary size and shape,” Proceedings of the IRE, vol. 29, no. 9, pp. 493-521, Sept, 1941. [37] G. Antonini, “SPICE equivalent circuits of frequency-domain responses,” IEEE Trans. Electromagn. Compat., vol. 45, no. 3, pp. 502-512, Aug. 2003. [38] A. Bellen, N. Guglielmi and A. E. Ruehli, “Methods for linear systems of circuit delay differential equations of neutral type,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 46, no. 1, pp. 212-215, Jan 1999. [39] S. V. Kochetov and G. Wollenberg, “Stability of full-wave PEEC models: reason for instabilities and approach for correction,” IEEE Trans. Electromagn. Compat., vol. 47, no. 4, pp. 738-748, Nov. 2005. [40] S. V. Kochetov and G. Wollenberg, “Stable and Effective Full-Wave PEEC Models by Full-Spectrum Convolution Macromodeling,” IEEE Trans. Electromagn. Compat., vol. 49, no. 1, pp. 25-34, Feb. 2007. [41] Synopsis, “HSPICE User Guide: Simulation and Analysis,” Version E-2010.12, Dec. 2010. [42] H. K. Khalil, Nonlinear Systems, 3rd ed., Upper Saddle River, NJ: Prentice-Hall, 2000. [43] G. F. Franklin, J. D. Powell, and A. Emami-Naeini, Feedback Control of Dynamic Systems, 2nd ed., MA: Addison-Wesley, 1993. [44] K. Gu, V. L. Kharitonov, and J. Chen, Stability of Time-Delay Systems, Birkhauser, 2003. [45] S. H. Friedberg, A. J. Insel, and L. E. Spence, Linear Algebra, 4th ed., NJ: Pearson Education, 2003. [46] D. Henry, “Linear autonomous neutral functional differential equations,” J. Differential Equations, vol. 15, pp. 106-128, 1974. [47] K. Gu, “A review of some subtleties of practical relevance for time-delay systems of neutral type,” ISRN Applied Mathematics, vol. 2012, article ID 725783, 2012. [48] R. Datko, “A procedure for determination of the exponential stability of certain differential-difference equations,” Quarterly of Applied Mathematics, vol. 36, pp. 279-292, Oct. 1978. [49] A. E. Ruehli, U. Miekkala and H. Heeb, “Stability of discretized partial element equivalent EFIE circuit models,” IEEE Trans. Antennas Propag., vol. 43, no. 6, pp. 553-559, June 1995. [50] J. E. Garrett, A. E. Ruehli and C. R. Paul, “Accuracy and stability improvements of integral equation models using the partial element equivalent circuit (PEEC) approach,” IEEE Trans. Antennas Propag., vol. 46, no. 12, pp. 1824-1832, Dec 1998. [51] D. Yue and Q.-L. Han, “A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model,” IEEE Trans. Circuits Systems II: Express Briefs, vol. 51, no. 12, pp. 685-689, Dec. 2004. [52] G. Antonini and P. Pepe, “Input-to-State Stability Analysis of Partial-Element Equivalent-Circuit Models,” IEEE Trans. Circuits Systems I: Regular Papers, vol. 56, no. 3, pp. 673-684, March 2009. [53] X.-M. Zhang and Q.-L. Han, “A New Stability Criterion for a Partial Element Equivalent Circuit Model of Neutral Type,” IEEE Trans. Circuits Systems II: Express Briefs, vol. 56, no. 10, pp. 798-802, Oct. 2009. [54] L. W. Johnson and R. D. Riess, Numerical Analysis, Addison-Wesley, 1977. [55] J. P. Montgomery, “On the Complete Eigenvalue Solution of Ridged Waveguide,” IEEE Trans. Microw. Theory Techn., vol. 19, no. 6, pp. 547-555, Jun. 1971. [56] M. R. Wohlers, Lumped and Distributed Passive Networks. NY: Academic Press, 1969. [57] J. Ekman, G. Antonini, A. Orlandi and A. E. Ruehli, “Impact of partial element accuracy on PEEC model stability,” IEEE Trans. Electromagn. Compat., vol. 48, no. 1, pp. 19-32, Feb. 2006. [58] J. Ekman, G. Antonini and A. E. Ruehli, “Toward improved time domain stability and passivity for full-wave PEEC models,” 2006 IEEE Int. Symp. Electromagn. Compat., Portland, OR, USA, 2006, pp. 544-549. [59] K. M. Coperich, A. E. Ruehli and A. Cangellaris, “Enhanced skin effect for partial-element equivalent-circuit (PEEC) models,” IEEE Trans. Microw. Theory Techn., vol. 48, no. 9, pp. 1435-1442, Sept. 2000. [60] A. E. Ruehli, G. Antonini and L. Ljiang, “Passivization of EM PEEC solutions in the frequency and time domain,” 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA), Torino, 2013, pp. 1273-1276. [61] G. Antonini, D. Deschrijver and T. Dhaene, “Broadband Macromodels for Retarded Partial Element Equivalent Circuit (rPEEC) Method,” IEEE Trans. Electromagn. Compat., vol. 49, no. 1, pp. 35-48, Feb. 2007. [62] M. Swaminathan and A. E. Engin, Power Integrity Modeling and Design for Semiconductors and Systems, MA: Pearson Education, 2008. [63] S. Grivet-Talocia and B. Gustavsen, Passive Macromodeling: Theory and Applications, Hoboken, NJ, USA: Wiley, 2016. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/76519 | - |
dc.description.abstract | 本論文針對部分元素等效電路法(partial element equivalent circuit,以下簡稱 PEEC)的三個面向進行探討。第一個面向為全波(full-wave) PEEC所具有的複數電感與複數電位係數之物理意義。經由理論推導,本論文嚴格的證明了此複數電感電位所引生的功率損耗,完全對應到該結構的總輻射功率;若該結構本身沒有電源,而是受入射波的激發,則此功率損耗對應該結構的總散射功率。因此,此複數電感電位,其虛部具有該結構之輻射電阻(radiation resistance)的物理意義。
第二個面向為全波PEEC之時域模擬方法。由於全波模型中,互感與互容的耦合皆帶有時間延遲(time delay),而一般的電路模擬軟體並不支援帶時延之互感,故傳統上必須自行撰寫程式來解全波模型之時延微分方程,因而限縮了全波PEEC與其他電路之整合性。本論文提出一種方法,利用電路模擬軟體中受控電源(controlled source)之時延功能,將全波PEEC模型實現成電路模擬軟體支援的形式,進而可用一般商用軟體來模擬時域響應。此法使得全波PEEC之模擬困難度大幅降低。又,透過此方法,我們得以模擬許多不同的模型,從中觀察到全波PEEC在時域上經常會出現不穩定的響應,因而啟發了本論文第三部分的研究。 第三個面向即為全波PEEC之穩定性(stability)分析。此穩定性問題又可分為三個部分:一、如何判斷一個模型穩定與否。二、若不穩定,是何原因導致其不穩定。三、如何改善其穩定性。對於第一個問題,本論文提出一套演算法,能將電路模型一部分的自然頻率(natural frequency)找出來,作為判斷穩定性的必要條件。第二個問題,本論文從被動性(passivity)的角度來分析,證明了標準的PEEC模型,其電感與電位矩陣,不具備被動性;相反的,其可產生大量的能量,以供應電路的發散響應。第三個問題,本論文先將文獻中的各種阻尼電路彙整,並做系統性的分析,再利用前述自然頻率的檢測,提出一個系統性的阻尼設計方法。最後,本論文再探討如何從被動性的角度來進行阻尼的設計。 | zh_TW |
dc.description.abstract | This dissertation studies three aspects of the partial element equivalent circuit (PEEC) method. The first one is the physical meaning of the complex inductance and potential coefficient occurred in full-wave (FW) PEEC model. Through rigorous derivation, we prove that the total power consumed in these complex coupling networks corresponds to the total radiated power of the circuit. If the circuit is not excited internally, but illuminated by an incident wave, then this power consumption corresponds to the total scattered power. Consequently, the imaginary parts of these complex couplings have the physical meaning of radiation resistance of the structure.
The second part deals with the time domain simulation method of FW PEEC. Due to the presence of time delay, the inductive and potential couplings are not supported by typical circuit simulators such as SPICE. Traditionally, researchers had to write their own differential equation solver in order to conduct transient simulation. In this dissertation, we exploit the time delay function of the controlled sources in typical SPICE and propose a method to cast the FW PEEC model into a fully SPICE-compatible form, which greatly eases the effort of conducting time domain simulation as well as the co-simulation with external linear or nonlinear lumped circuit. Also, from several simulation results, we observe that the time domain response of FW PEEC often suffers from unstable resonance. This then motivates the study of the third part. The third part of the dissertation focuses on the stability properties of FW PEEC. The stability problem can be further divided into three subparts: (a) how do we test if a given model is stable or not; (b) if it is unstable, what is the reason for its instability; and (c) what are the methods that we can apply to improve the stability. In part (a), we propose an algorithm that can efficiently obtain some of the natural frequencies of the circuit. Such information serves as a necessary-condition test for stability. In part (b), we show that the inductive and potential coupling matrices of general FW PEEC models are far from being passive. They are thus the energy sources that support the unstable resonances of the circuit. In part (c), we first summarize existing damping method in the literature. And then we present systematic analysis of various damping structures, and propose two design approaches based on stability and passivity. | en |
dc.description.provenance | Made available in DSpace on 2021-07-09T15:53:40Z (GMT). No. of bitstreams: 1 ntu-108-F00942009-1.pdf: 9289112 bytes, checksum: 4f2c583bb8bc363bd54eee9b5f883884 (MD5) Previous issue date: 2019 | en |
dc.description.tableofcontents | 口試委員會審定書
誌謝 中文摘要 ABSTRACT CONTENTS LIST OF FIGURES LIST OF TABLES GLOSSARY Chapter 1 Introduction…………………………………………………………..1 1.1 General Introduction……………………………………………………….1 1.2 Introduction to the PEEC Method…………………………………………3 1.3 Dissertation Outline………………………………………………………29 Chapter 2 Radiation Resistance in FW FD PEEC……………………………31 2.1 Literature Review and Motivation………………………………………..31 2.2 Proposed Proof…………………………………………………………....33 2.3 Verification………………………………………………………………38 2.4 Discussion…………………………………………………………………43 Chapter 3 Simulation of FW PEEC Using Standard SPICE…………………45 3.1 Review of Simulation Methods for FW PEEC…………………………46 3.2 Casting FW PEEC in SPICE……………………………………………49 3.3 Verification………………………………………………………………54 Chapter 4 Stability of FW PEEC………………………………………………57 4.1 Review of Stability Concepts………………………………………………60 4.2 Stability Test………………………………………………………………77 4.2.1 Review of Stability Tests for PEEC…………………………………79 4.2.2 Proposed Methodology………………………………………………85 4.2.3 Verification…………………………………………………………95 4.2.4 Examples and Discussion…………………………………………104 4.3 Sources of Instability……………………………………………………118 4.3.1 Literature Review…………………………………………………118 4.3.2 Passivity of FW PEEC……………………………………………125 4.4 Designs of Damping………………………………………………………137 4.4.1 Review of Damping Methods……………………………………139 4.4.2 Analysis of Damping Structures……………………………………154 4.4.3 Damping Design based on Stability………………………………165 4.4.4 Damping Design based on Passivity………………………………180 4.5 Summary…………………………………………………………………201 Chapter 5 Conclusion and Future Work……………………………………205 Appendix A The Strip Dipole Subcircuit………………………………………209 REFERENCE……………………………………………………………………217 PUBLICATION LIST………………………………………………………………226 | |
dc.language.iso | en | |
dc.title | 部分元素等效電路法輻射阻抗、時域模擬、及穩定性之研究 | zh_TW |
dc.title | On the Radiation Resistance, Transient Simulation, and Stability of the Partial Element Equivalent Circuit Method | en |
dc.type | Thesis | |
dc.date.schoolyear | 107-2 | |
dc.description.degree | 博士 | |
dc.contributor.oralexamcommittee | 吳瑞北,鄭士康,莊晴光,江衍偉,曹恒偉 | |
dc.subject.keyword | 部分元素等效電路,數值方法,穩定性,被動性, | zh_TW |
dc.subject.keyword | partial element equivalent circuit,numerical method,stability,passivity, | en |
dc.relation.page | 226 | |
dc.identifier.doi | 10.6342/NTU201902629 | |
dc.rights.note | 同意授權(全球公開) | |
dc.date.accepted | 2019-08-08 | |
dc.contributor.author-college | 電機資訊學院 | zh_TW |
dc.contributor.author-dept | 電信工程學研究所 | zh_TW |
dc.date.embargo-lift | 2022-08-23 | - |
顯示於系所單位: | 電信工程學研究所 |
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