用户名: 密码: 验证码:
基于传输线模型的填埋场渗漏检测方法研究
详细信息    本馆镜像全文|  推荐本文 |  |   获取CNKI官网全文
摘要
为解决危险废物填埋场两衬层之间没有粘土层的渗漏检测,本文以传输线模型为基础,将导电纤维横纵成网铺设在HDPE膜下的检测层上,以垃圾渗滤液会改变检测层局部电学参数为原理,分别用行波法和故障分析法推导了测距方程。针对现场环境复杂多变的特点,提出了利用线路两端电压、电流向量估算线路参数的算法。研究了渗漏、未渗漏区间的副电学参数随频率的变化规律,对影响定位精度的各因素进行分析。对故障分析法测距方程,利用拟牛顿算法和共轭梯度算法进行求解,以实验结果对比了两种算法的测距精度。以有限元和麦克斯韦方程组为基础,推导了渗漏区间为不均匀介质时,电磁波在稳态时电势和电流密度的分布。设计了传输线模型渗漏检测的实验室实验,记录了相关波形。
In order to solve the leakage detection of hazardous waste landfill which without clay between the two liners, The study laying the conductive fiber as transverse and longitudinal net on the detection layer which under the HDPE membrane based on the transmission line model, as the principle that leachate will change local electrical parameters of detection layer, using the traveling wave method and fault analysis method to deduct ranging equation respectively. Aiming at the complex and changeful characteristics of the scene environment, proposed the algorithm which using the voltage, current vector of two ends on the line to estimation circuit parameters. Study the changing law about the complex electrical parameters of leakage and non leakage interval with the frequency variation. Analysis the each influence factors on positioning accuracy. For the ranging equation of fault analysis method, use Quasi-Newton and conjugate gradient algorithm to solve them. Compare the ranging precision between the two algorithms as the experimental results. As the basic of finite element and Maxwell equations, derivation the electromagnetic wave potential and current density distribution in the steady-state when the leakage interval is inhomogeneous medium. Design laboratory experiment of leakage detection for the transmission line model and record the waveform.
引文
[1]王琪.危险废物及其鉴别管理[M].北京:中国环境科学出版社,2008:130-135
    [2]王琪.工业固体废物处理及回收利用[M].北京:中国环境科学出版社,2006:22-25
    [3]国家环境保护总局.全国环境统计公报:2007[Z]北京:国家环境保护总局,2008
    [4]石碧清,闾振华,周炳炎.国内外固体危险废物概念比较研究[J].环境科学与管理,2006,(5):55-57
    [5]何艳明,聂永丰.我国危险废物管理现状及发展趋势[J].环境污染治理技术与设备,2002,3(6):90-93
    [6]陈扬,扬艳,陈刚.我国危险废物污染控制技术现状及发展[J].中国环境保护产业,2004(11):16-17
    [7]陈磊.美国危险废物的产生与处置[J].世界环境,994,(3):66-68
    [8]HARRY FREEMAN M. Standard Handbook of Hazardous Waste Treatment and Disposal[J]. Health Physics,1965,13(3):287-292
    [9]VISVANATHAN C. Hazardous Waste Disposal [J]. Resources Conservation and Recycling, 1996,16(2):20!-212
    [10]CHAN, AGAMUTHU Y M, MAHALINGAM P. Solidification and Stabilization of Asbestos Waste from an Automobile Brake Manufacturing Facility Using Cement[J]. Journal of Hazardous Materials,2000,77(1):209-226
    [11]伯恩哈特.赖宁阁.欧洲和中国废物管理现状[J].沈阳航空工业学院学报,2002,19(3):71-74
    [12]ZHAO YOUCAI, SONG LIJIE,LI GUOJIAN. Chemical Stabilization of MSW Incinerator Fly Ashes[J]. Journal of Hazardous Materials,2002,102(5):108-110
    [13]LI XIAO DAN, Heavy Metal Speciation and Leaching Behaviors in Cement based Stabilized Waste Materials[J]. Journal of Hazardous Materials,2001,8(8):155-160
    [14]COSMO SANCILIO, LAINE DL. Collection and Recycling Spent Lead Batteries in Italy[J]. Journal of Power Source,1995,37(57):75-78
    [15]GIROUD J P. Review of Geotextile Filter Criteria[C]. Proceeding of First Indian Geotextiles Coference on Reinforced Soil and Geotextiles, Bombay, Indian,1980:1-6
    [16]李金惠,聂永丰.中国危险废物管理国家战略方案研究[J].环境保护,2000(3):3-5
    [17]刘育,夏北成.废电池的环境污染问题与防治对策[J].环境科学动态,2003,(1):12-14
    [18]PARK, JOO-YANG, BATCHELOR, BILL. General Chemical Equilibrium Model for Stabilized Solidified Wastes[J]. Journal of Environmental Engineering,2002,67(5):653-661
    [19]Qiying MA. In Situ Lead Immobilization by Appatite[J]. Environmental Science Technology, 1993,26(8):1803-1810
    [20]HARRY R H, HORTON J H. Bentonite as a Protective Cover for Buried Radioavtive Waste[J]. Healthy Physics,1965,13(3):287-292
    [21]李传红,朱文转.试议我国地方危险废物的管理和处理[J].环境保护,2000,(5):10-11
    [22]国家环保总局规划财务司,国家环保总局规划院.全国危险废物和医疗废物处理处置施建设规划实施工作简报[R].第1-9期
    [23]龙朝晖,杨芸,毕朝文.危险废物环境凤险评价探讨[J].·中国资源综合利用,2004,(11):21-23
    [24]CHARLIE W A, WARDWELL T E. Leachate Generation from Sludge Disposal Are[J]. Journal of Environmental Engineering,1979,105(5):947-960
    [25]HARR M E. Groundwater and Seepage[M]. New York:McGraw Press,1962:35-60
    [26]VAN HERCKP, VANDER BRUGGEN B, VOGELS G, et al. Application of Computer Modeling to Predict the Leaching Behaviour of Heavy Metals from MSWI Fly Ash and Comparison with a Sequential Extraction Method[J]. Waste Management,2000(20):203-210
    [27]中华人民共和国环境保护部,中华人民共和国国家统计局,中华人民共和国农业部.第一次全国污染源普查公报:2007[Z].北京:中华人民共和国环境保护部,中华人民共和国国家统计局,中华人民共和国农业部,2010
    [28]杨慧芬.固体废物处理技术及工程应用[M].北京:机械工业出版社,2003:30-35
    [29]刘长礼,张云,王秀艳,等.垃圾卫生填埋处置的理论方法和工程技术[M].北京:地质出版社,1999:10-20
    [30]公德华.浅谈固体废物最终处置的方法[J].环境科学与管理,2006,31(6):106-109
    [31]GODFREY L J. Monitoring for Hazardous Waste Leaks[J].Civil Engineering,1987, (57):48-49
    [32]LAMBE T W. The Structure of Compacted Clay[J]. Journal of Solid Mechanics and Foundation Engineering,1958,84(2):1-34
    [33]PENNER R H. WALTON T. Effects of Temperature and Pressure on Frost Heaving[C]. Int. Symp. of Ground Freezing. Bochum, Germany:Ruhr University,1978:102-110
    [34]SALVATO J A, WITKIE W G M, MEAD B E. Sanitary Landfill Leaching Prevention and Control[J]. Water Pollut Control,1971,43(10):385-389
    [35]程业勋,刘海生.城市垃圾污染的地球物理调查[J].工程地球物理学报,2004,(1):26-30
    [36]何伟才,宜亦农,卢乃宣.垃圾的焚烧处理[J].热能动力工程,1996(1):33-36
    [37]黄本生,刘清才‘,王里奥.垃圾焚烧飞灰综合利用研究进展[J].环境污染治理技术与设备,2003(9):12-15
    [38]马静颖.高浓度含盐邮寄废液焚烧技术[J].能源与环境,2005,13(8):13-20
    [39]宋玉,钱光人,吕毅斌.上海城市生活垃圾焚烧飞灰性质分析[J].化学工程帅,2004(8):49-51
    [40]孙大光.高浓度电子废液焚烧处理工艺研究[J].环境科学与技术,2005,2(28):17-20
    [41]Colucci P, Lavagnolo M C. Three Years Field Experience in Electrical Control of Synthetic Landfill Liners[C], Proceedings of the Fifth International Landfill Symposium,1995:437-451
    [42]MCHAEL J K. HOPPER D R, CAMPANELLA R G. Permeability of Compacted[J]. Journal of Soil Mechanics and Foundation Engireening,1995,91 (4):41-65
    [43]国家环境保护总局.GB 18597-2001危险废物贮存污染控制标准[S].北京:中国环境科学出版社,2002
    [44]国家环境保护总局.GB 16889-2008生活垃圾填埋场污染控制标准[S].北京:中国环境科学出版社,2008
    [45]国家环境保护总局.国家危险废物名录[M].北京:中国环境科学出版社,,2008:107-145
    [46]Peggs I.D. Designing for Geomemebrane electrical Liner Integrity and Leak-Location Surveys[C], in Proceedings of the Geosynthetics Conference,2006:44-45
    [47]Shaopeng Guan. Design of Real-time Leakage Detection System for Landfills[J]. AISS, 2011,3(5):87-93
    [48]Darilek G T, Parra J O. The Electrical Leak Location Method for Geomembrane Liners[J]. Journal of Hazardous Materials,1989,21 (2):177-187
    [49]Rollin, A.L., Marcotte, T., Forget, B.Saunier, P. Leak Location in Exposed Geomembrane Liners Using an Electrical Leak Detection Technique[C], Proceedings of Geosynthetics'99, Boston,1999:615-626
    [50]LAINE D L, BINLEY A M, DARILEK G T, et al. Locating Geomembrane Liner Leaks under Waste in a Landfill[C], Geosynthetics'97 Conference Proceeding. Long Beach California: IEEE Press,1997:11-13
    [51]Landreth R E. Locating and Repairing Leaks in Landfill Impoundment Flexible Membrane Liners[C]. Geosynthetics'89 Conf. Proceeding, Industrial fabrics Assoc. Int., Saint Paul,1989: 467-477
    [52]Parra J O, Owen T E. Model Studies of Electrical Leak Detection in Geomembrane Lined Impoundments[J]. Geophysics,1988,53(11):1453-1458
    [53]Darilek G T, Laine D L. Understanding Electrical Leak Location Systems of Geomembrane Liners and Avoiding Specifications Pitfalls[C]. Proceedings of the 10th National Conference. Superfund'89,Washington, D.C., Nov.1989:27-29
    [54]Laine D L. Analysis of Pinhole Seam Leaks Located in Geomembrane Liners Using the Electrical Leak Location Methods:case histories[C]. Geosynthetics'91 conference proceedings, Atlanta, Georgia, Feb.1991:26-28
    [55]BECK R W. INC. City of Honolulu Review of Plasma Arc Gasification and Vitrification Technology for Waste Disposal[R].2003:5-21
    [56]李金惠,聂永丰,王雷.中国固体废物法规体系框架分析[J].环境科学进展,1996,6(6):12-22
    [57]聂永丰.三废处理工程技术手册:固体废物卷[M].北京:高等教育出版社,1993:46-48
    [58]庄伟强.固体废物处理与处置[M].北京:化学工业出版社,2011:150-207
    [59]唐鸿寿,王如松.城市生活垃圾处理和管理[M].北京:气象出版社,2002:200-250
    [60]王斌,王琪,董路.垃圾填埋场防渗层渗漏检测方法的比较[J].环境科学研究,2002,(5):47-48
    [61]何文君.垃圾填埋场的设计与防渗处理技术研究[D].昆明:昆明理工大学,2007:7-15
    [62]程业勋,杨进.地下水污染环境地球物理勘查的进展[C].中国地球物理学会地下渗漏污染检测处置研讨会论文集.2005,12-18
    [63]徐建玲.固体废物处理(置)战略环境评价研究-以长春市固体废物处理(置)为例[D].长春:东北师范大学,2007:145-170
    [64]MINOCHA A K. Effect of Inorganic Materials on the Solidification of Heavy Sludge[J]. Cement and Concrete Research,2003(33):1695-1701
    [65]ASCE. American Society of Civil Engineers Design and Construction of Sanitary and Storm Sewers[M]. New York:Manual of Engineering Practice.1960:37-40
    [66]ANDERSLAND O B. ANDERSON D M. Gcolechnical Engineering for Gold Regions[M]. New York:Mc Grae Hill Book Co. Inc.,1978:88-90
    [67]BOUT WELL C H, HEDGES C. Evaluation of Waste-Retention Liners by Multivariate Statistics[C]. Proceedings of Second International Conference on Soil Mechanics and Foundation Engineering. Rio De Janeiro, Brazil ISSMFE,1989:815-818
    [68]BOYNTON S S, DANIEL D E. Hydraulic Conductivity Test on Compacted Clay[J]. Journal of Geotechnical Engineering,1995,3(4):465-478
    [69]POON C S. Pozzolanic Properties of Reject Fly Ash in Blended Cement Pastes[J], Cement and Concrete Research,2003,(33):1857-1865
    [70]王斌,王琪,董路,等.垃圾填埋场土工膜渗漏电学检测法的研究[J].环境科学究,2003,16(2):54-57
    [71]Darilek G T, Laine D L. Costs and Benefits of Geomembrane Liner Installation CQA. Industrial Fabrics Assoc.Int[C]. Geosynthetics' 2001 conference proceedings. Minn:Saint Paul,2001.65-75
    [72]赵由才,龙燕,张华.生活垃圾卫生填埋技术[M].北京:化学工业出版社,2004:140-144
    [73]董路,王琪,刘晓华,等.电极铺设方式对填埋场渗漏检测定位的影响[J].中国环境科学.2005,25(5):145-149
    [74]ROVERS F A. FARQUHAR G J. Infiltration and Landfill Behavior[J]. Journal of Environmental Engineering,1973,99(5):671-690
    [75]PARRA J O. Electrical Response of a Leak in a Geomembrane Liner[J]. Materials Science and Engineer,1988,53(11):1445-1452
    [76]Wait J R. Electromagnetism Location of Geomembrane[J]. Materials Science and Engineer, 1992,64(8):1068-1077
    [77]Darilek G T, Michael P M. Detection and Location in Geomembrane Liners Using an Electrical Method[C]. Case Histories Proceedings of the 10th National Conference. Superfund 89,Washington DC,USA,1989:27-29
    [78]能昌信.填埋场渗漏检测高压直流电法的研究[D].北京:中国矿业大学,2005:20-60
    [79]能昌信,董路,王琪,等.填埋场地电模型的电学特性[J].中国环境科学,2004,24(6):200-203
    [80]能昌信,王彦文,王琪,等.填埋场渗漏检测高压直流电法等效电路模型的建立[J].环境科学,2005,25(]):200-203
    [81]能昌信,董路王琪,等.土工膜渗漏检测系统的开发.环境科学研究[J],2005,18(4):108-110
    [82]能昌信,董路,姜文峰,等.土工膜渗漏检测系统的研究[J].环境科学与技术,2005,28(4):23-25
    [83]能昌信,董路,杨秀强,等.危险废物暂存库实时检测系统的设计[J].计算机工程与应用,2005,41(15):56-60
    [84]杨萍.危险废物填埋场渗漏检测高压直流电法的研究[D].北京:中国矿业业大学,2006:15-55
    [85]Yang Ping, Nai Changxin, Sun Jing. The Real Time Leakage Detection Network in Hazardous Waster Impoundments[C]. The Seventh International Conference on Electronic Measurement and Instrument,2005:309-410
    [86]YangPing, Yang Gongxun, Wang Yanwen. Comparison of Two Theoretical Models for Electric Leak Location at Landfill[J]. Journal of Shanghai University,2006,6(8)34-40
    [87]管绍朋.基于高压直流电法的填埋场渗漏检测原理的研究[D].北京:中国矿业大学(北京),2010:20-40
    [88]Shaopeng Guan. Comparision of Two Electrode Arrays for Liner Leakage Location at Landfills[c].4th IEEE Conference on Industrical Electronics'and Applications,2009:562-572
    [89]管绍朋,潘俊峰,能昌信,等.电法填埋场渗漏检测供电电极接地电阻研究[J].环境科学研究,2008,5(6):45-48
    [90]Shaopeng Guan. An Advanced Model for Electrical Landfill Leakage Detection[J]. Journal of Convergence Information Technology,2011,5(6):24-29
    [91]邱关源,罗先觉.电路[M].北京:高等教育出版社,2006:475-504
    [92]William H, John A,著,徐安士,周乐柱,译.工程电磁学[M].北京:电子工业出版社,2004:319-356
    [93]郑钧.电磁场与波[M]上海:上海交通大学出版社,1984:236-287
    [94]孙玉龙,郝振纯.TDR技术及其在土壤水分及土壤溶质测定方面的应用[J].灌溉排水,2000,19(]):37-41
    [95]A T Johns, S Jamal. Accurate Fault Location Technique for Power Transmission Lines[J]. Transmission and Distribution,]990,137(6):395-402
    [96]A M Ranjbar, A R Shirani, A F, Fathi. A new approach for Fault Location Problem on Power Lines[J]. IEEE Trans. on PWRD,1992,(7):146-151
    [97]T Takagi, Y Yamakosi M. Yamaura, et al. Developmet of a New Type Fault Locator Using the one Terminal Voltage and Current Data[J]. IEEE Tran on PAS,1982,101 (8):2892-2898
    [98]EUI J P. Suppression of EM Coupling Spikes by Line-shaping in High-Speed Coupled Lines[J]. Antennas and Propagation Society,2001,4(8):524-527
    [99]DAS B N, CHAKRABARTY S B, RAO K S R. Effect of Dielectric Support on the Inner Conductor of Eccentric Coaxial Line[J]. Trans on Electromagnetic Compatability, 1995,37(1):71-74
    [100]SAVAGE J S, SMITH W T. Capacitance Calculations for Cable Harnesses Using the Method of Moments[J].Trans on Electromagnetic Compatability,1995,37(1):131-137
    [101]陈晓飞,张玉龙,堀野治彦,等.应用TDR对土壤含水率及土壤冻结融解深的计测[J].灌溉排水,2002,21(3):71-74
    [102]黎颖,卢继平,李健.基于在线计算线路分布参数的故障定位方法[J].高压电技术,2007,33(11):185-189
    [103]A Wiszniewski. Accurate Fault Impedance Locating Algorithm[C]. IEE Conference Publication,1985:185-187
    [104]毛鹏,张兆宁,苗友忠,等.基于双端电气量的输电线路故障测距的新方法[J].继电器,2000,28(5):25-27
    [105]L Eriksson, M M Saha. GD Rockefeller. An Accurate Fault Locator with Compensation for Apparent Reactance in the Fault Resistance Resulting from Remaote Endlnfeed[J]. IEEE Trans.on PAS,1985,(104):424-436
    [106]冯伟,贺新民,刘宁,等.长线频域测试法研究[J].电了测量技术,2006,29(5):78-80
    [107]IVAN M, FLAVIO G C. Analysis of Crosstalk and Field Coupling to Lossy MTL in a SPICE Environment[J]. Electromagnetic Compatibility,1996,38(3):635-646
    [108]NOVAK I E, HATVANI L. Measurement and Sumulation of Crosstalk Reduction by Discrete Discontinuities Along Coupled PCB Traces[J]. Instrumentation and Measurement, 1993,43(5):170-175
    [109]CARLOS A, DIAS L. Developments in a Model to Describe Low-Frequency Electrical Polarization of Rocks [J]. Geophysics,2000,65(2):437-451
    [110]徐启峰,魏孝铭.高压输电线路故障测距的负距问题及修正方法[J].中国电机工程学报,1989,9(3):41-50
    [111]张哲,陈德树.高压输电线路故障测距中的伪根问题及改进方法[J].中国电机工程学报,1992,12(6):11-17
    [112]胡帆,刘沛,程时杰.高压输电线路故障测距仿真研究[J].中国电机工程学报,1995,15(1):67-72
    [113]李志民,陈学允.基于单侧信息的输电线路故障测距新方法[J].中国电机工程学报,1997,17(6):416-419
    [114]刘劲,孙扬生,罗毅.一种基于时间域的使用单侧电量故障测距方法[J].电力系统自动化,1994,18(5):52-56
    [115]杜兴忠,曹俊兴.用传输线模型法计算非均匀介质中的电场响应[J].地球物理学进展,2008,23(1):73-81
    [116]DIAS C A. A Non-Grounded Method for Measuring Electrical Induced Polarization and Conductivity[D]. California:University of California Berkeley,1968:25-78
    [117]Al-Mukhtar D, SitchJ E. Transmission-line Matrix Method with Irregularly Graded Space[J].IEEE Proc. part. H:Microwaves.Opt,1981,128(12):299-305
    [118]GOPINATH A, EASTER B. Moment Method of Calculating Discontinuity Inductance of Microchip Right-Angled Bends[J].Transactions on Microwave Theory and Techniques,1974,22(10):880-883
    [119]Q S Yang, I F Morison. Microprocessor based Algorithm for High Resistance Earth-Fault Distance Protection[J]. IEE Proceeding Generation, Transmission and Distribution, 1983,(130):306-310
    [120]CHELDAVI A. Exact Analysis of Coupled Nonuniform Transmission Lines with Exponential Power Law Characteristic Impedance[J]. Microwave Theory and Techniques, 2001,49(3):197-199
    [121]全玉生,王晓蓉,杨敏中等.工频双端故障测距算法的鲁棒性问题和新算法研究[J].电力系统自动化,2000,24(10):28-32
    [122]全玉生.高压架空输电线路故障测距新算法的研究[D].西安:西安交通大学,1999:20-90
    [123]吴必信.利用解二次方程法的故障测距仿真计算[J].东北电力学院学报,1995,15(4):46-52
    [124]蔡德礼.高压输电线路故障定位的一种新的计算机方法[J].重庆大学学报,1982,1(2):1-14
    [125]JACOBSEN O H, SCHJENNING P A. A Laboratory Calibration of Time Domain Reflectometry for Soil Water Measurement Including Effects of Bulk Density and Texture[J]. Journal of Hydrology,1993,151(1):147-157
    [126]Tamnun E Mursalin, Fajrana Zebin Eishita, Ahmed Ridwanul Islam, et al. Real Time Automated Fabric Defect Detection System Using Microcontroller[J]. JCIT, 2008,3(11):42-50
    [127]M S Sachdcv, R K Agarwal. A Technique for Estimating Transmission Fault Locations from Digital Impedance Relay Measurement[J]. IEEE Tran. on PWRD,1998,3(1):121-191
    [128]D Novosel, D GHart. Unsynchronized Two-terminal Fault Location Estimation[J]. IEEE Trans, on PWRD,1993,11(1):130-138
    [129]董新洲.利用GPS的输电线路行波故障测距研究[J].电力系统自动化,1996,20(12):37-40
    [130]J. E. Dennis JR, Robert B. Schnabe. Numerical Methods for Unconstrained Optimization and Nonlinear Equations. Prentice-Hall[J]. Englewood Cliffs,1983,2(5):36-50
    [131]S. Weerakoom, T. G. I Fernando. A variant of Newton's method with accelerated Third-order Convergence[J]. Appl. Math. Lett.,2000,(13):87-93
    [132]R. F.King. Tangent Method for Nonlinear Equations[J]. Numer Math.,1972,(18):298-304
    [133]王兴华,郭学萍Newton法及其各种变形收敛性的统一判定法则[J].高等学校计算数学学报,1999,(4):363-368
    [134]H. WozniaKowski. Generalized Information and Maximal Order of Iteration for Operator Equations[J]. Numer. Anal.,1975,(12):121-135
    [135]X. H. Wang. Convergence of Newton's Method and Inverse Function in Banach Spaces[J]. Math. Comp,1999,68(225):169-186
    [136]顾丽珍.现代应用数学手册.计算与数值分析卷[M].北京:清华大学出版社,2005:108-140
    [137]D. G. Luenberger. Introduction to Liner and Nonlinear Programming[J]. Addison Wesley, 1973,3(12):33-35
    [138]M. Avriel. Nonlinear Programming:Analysis and Methods[M], Prentice Hill Press,1976:5-9
    [139]赵凤治.线性规划计算方法[M].北京:科学出版社,1981:106-150
    [140]胡敏达.实用多目标最优化[M].上海:上海科技出版社.1990:89-105
    [141]刘豪睿.铬渣污染场地复电阻率法探测技术研究[D].北京:中国矿业大学(北京),2010:6-50
    [142]R. F. Harrington. Time-Harmonic Electromagnetic Fields[M]. New York:McGraw-Hill Press, 1961:45-49
    [143]A. Bayliss, M. Gunzburger, and E.Turkel. Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions[J]. SIAM J. Appl,1982,42(6):430-451
    [144]J. P. Webb and V. N. Kanellopoulos, Absorbing Boundary Conditions for the Finite Element Solution of the Vector Wave Equation[J]. Microwave Opt. Tech. Lett,1989,2(15):45-49
    [145]D. H. Norrie, G. de Vries. The Finite Element Method:Fundamentals and Applications[M]. New York:Academic Press,1973:108-150
    [146]H. C. Martin, G. F. Carey. Introduction to Finite Element Analysis:Theory and Application[M]. New York:McGraw-Hill Press,1973:44-68
    [147]R. Wait, A. R. Mitchell. Finite Element Analysis and Applications[M]. New York:Wiley Press, 1985:109-120
    [148]J. M. Jin, J. L. Volakis, V. V. Leipa. A Comparative Study of the OSRC Approach in Electromagnetic Scattering[J]. IEEE Trans. Antennas Propagat..1989.4(11):89-98
    [149]J. S. Wang, N. Ida. Eigenvalue and Analysis in Electromagnetic Cavities Using Divergence Free Finite Elements[J]. IEEE Trans. Magnetics,1991,27(6):3978-3981
    [150]R. Miniowitz, J. P. Webb. Covariant-projection Quadrilateral Elements for the Analysis of Waveguides with Sharp Edges[J]. IEEE Trans. Microwave Theory Tech, 1991,3(39):501-505
    [151]A. Bossavit, I. Mayergoyz. Edge-Elements for Scattering Problems[J]. IEEE Trans. Magnetics, 1989,6(25):2816-2821
    [152]R. F. Harrington. Field Computation by Moment Methods[M]. New York:Macmillan Press, 1968:56-90
    [153]P. P. Silvester, R. L. Ferrari. Finite Elements for Electrical Engineers[M]. Cambridge: Cambridge University Press,1990:68-105
    [154]J. M. Jin, V. V. Liepa. Simple Moment Method Program for Computing Scattering from Complex Cylindrical Obstacles[J]. IEE Proc. H,1989,3(136):321-329
    [155]P. Silvester. A Feneral High-Order Finite-Element Waveguide Analysis Program[J]. IEEE Trans. Microwave Theory Tech,1969,5(17):204-210
    [156]N. A. Demerdash, T. W. Nebl, F. A. Fouad. Three Dimensional Finite Element Vector Potential Formulation of Magnetic Fields in Electrical Apparatus[J]. IEEE Trans. Power Apparatus Syst.,1981,9(100):4104-4111
    [157]J. M. Jin, J. L.Volakis, V. V.Liepa. Fictitious Absorber for Truncating Finite Element Meshes in Scattering[J]. IEE Proc, H,1992,51(39):472-476
    [158]W. H. Press, B. P. Flannery, S. A. Teukolsky. Vetterling, "Numerical Recipes:The Art of Scientific Computing[M]. Cambridge:Cambridge University Press,1986:109-120
    [159]R. Mittra, O. Ramahi. Absorbing Boundary Conditions for the direct Solution of Partial Differential Equations Arising in Electromagnetic Scattering Problems[M]. New York: Elsevier Press,1990:200-205
    [160]M. F. Catedra, E. Gago, L. Nuno. RCS of Three-Dimensional Bodies of Resonant Size[J]. IEEE Trans. Antennas Propagat.1989,3(87):528-537
    [161]J. D. Angelo, I. D. Mayergoyz. Three Dimensional RF Scattering by the Finite Element Method[J]. IEEE Trans Magnetics.1991.3(27):3827-3832
    [162]J. M. Jin, J. L. Volakis. Electromagnetic Scattering by and Transmission through a Three-dimensional Slot in a Thick Conducting Plane[J]. IEEE Trans. Antennas Propagat, 1991,8(35):543-550
    [163]A. Chatterjee, J. M. Jin, J. L. Volakis. Computation of Cavity Resonances Using Edge-based Finite Elements[J]. IEEE Trans. Microwave Theory Tech,1992,3(40):2106-2109
    [164]K. Ise, K. Inoue, M. Koshiba. Three-Dimensional Finite-Element Method with Edge Elements for Electromagnetic Waveguide Discontinuities[J]. IEEE Trans. Microwave Theory Tech., 1991,3(39):1289-1295
    [165]谢处力,饶克谨.电磁场与电磁波[M].北京:高等教育出版社,2006:100-300
    [166]K. Sakiyama, H. Kotera, A. Ahagon.3-D Electromagnetic Field Mode Analysis Using Finite Element Method by Edge Element[J]. IEEE Trans. Magnetics,1990,3(26):1759-1761

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700