GIS中球形金属颗粒与电极碰撞的法向恢复系数计算方法
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摘要
法向恢复系数对计算GIS中金属颗粒的运动具有重要影响。基于球形金属颗粒与电极的法向碰撞物理过程,提出了碰撞时法向恢复系数的计算方法,实验验证了该方法的准确性。在此基础上,研究了球形金属颗粒直径、初始碰撞速度对法向恢复系数的影响规律,结果表明:颗粒直径对法向恢复系数基本无影响;随着初始碰撞速度的增大,法向恢复系数减少,并指出由初始碰撞速度增大引发的塑性形变能量损耗占整个碰撞过程总能量的比值增加是导致法向恢复系数减少的原因。为满足金属颗粒运动研究需求,给出了铜球、不锈钢球、铝球分别与铜电极、不锈钢电极、铝电极碰撞时的法向恢复系数与初始碰撞速度之间的经验关系式。
Normal restitution coefficient has important influence on the calculation of movement of metal particles inGIS. Based on the normal collision physics process between spherical metal particles and electrode,calculationmethod of normal restitution coefficient of collision is proposed. The accuracy of this way is verified by experiment.And on this basis,diameter of spherical metal particles and rule of the influence of initial impact velocity on normalrestitution coefficient are studied. The results show that the particle diameter has no effect on normal restitution coef-ficient basically;with the increase of the initial impact velocity,normal restitution coefficient decreases,which iscaused by the increase the ratio of the total energy in the collision process when the increase of initial impact velocityleads to the energy loss of plastic deformation. To meet the demand of metal particles movement research,the empiri-cal formulas between normal restitution coefficient and initial impact velocity when copper,stainless steel and aluminum ball collides with their corresponding electrodes are listed.
Normal restitution coefficient has important influence on the calculation of movement of metal particles inGIS. Based on the normal collision physics process between spherical metal particles and electrode,calculationmethod of normal restitution coefficient of collision is proposed. The accuracy of this way is verified by experiment.And on this basis,diameter of spherical metal particles and rule of the influence of initial impact velocity on normalrestitution coefficient are studied. The results show that the particle diameter has no effect on normal restitution coef-ficient basically;with the increase of the initial impact velocity,normal restitution coefficient decreases,which iscaused by the increase the ratio of the total energy in the collision process when the increase of initial impact velocityleads to the energy loss of plastic deformation. To meet the demand of metal particles movement research,the empiri-cal formulas between normal restitution coefficient and initial impact velocity when copper,stainless steel and aluminum ball collides with their corresponding electrodes are listed.
引文
[1]律方成,金虎,王子建,等.基于组合核多特征融合的GIS局部放电检测与识别[J].电工技术学报,2014,29(10):334-340.LYU Fangcheng,JIN Hu,WANG Zijian,et al. GIS partialdischarge detection and recognition based on the kernelcombination and multiple feature fusion method[J]. Trans-actions of China Electrotechnical Society,2014,29(10):334-340.
[2]范建斌,李鹏,李金忠,等.特高压直流GIL关键技术研究[J].中国电机工程学报,2008,28(13):1-7.FAN Jianbin,LI Peng,LI Jinzhong,et al. Study on keytechnology of±800 kV UHVDC GIL[J]. Proceedings of theCSEE,2008,28(13):1-7.
[3] ASANO K,YATSUZUKA K,HIGASHIYAMA Y. The mo-tion of charged metal particles within parallel and tiltedelectrodes[J]. Journal of Electrostatics,1993(30):65-74.
[4] SAKAI K,TSURU S,ABELLA D L,et al. Conducting parti-cle motion and particle-initiated breakdown in dc electricfield between diverging conducting plates in atmosphericair[J]. IEEE Transactions on Dielectrics and Electrical Insu-lation,1999,6(1):122-130.
[5] SAKAI K,ABELLA D L,KHAN Y,et al. Theoretical andexperimental studies for spherical free-conducting particlebehavior between non-parallel plane electrodes with ac volt-ages in air[J]. IEEE Transactions on Dielectrics and Electri-cal Insulation,2003,10(3):404-417.
[6] METWALLY I A. Dynamic analysis of motion of sphericalmetallic particles in non-uniform electric field[J]. IEEETransactions on Dielectrics and Electrical Insulation,2002,9(2):282-293.
[7] MORCOS M M,ZHANG S,GUBANSKI S M,et al. Perfor-mance of particle contaminated GIS with dielectric coatedelectrodes[C]//Conference Record of the 2000 IEEE Indus-try Applications Conference.[S.l.]:IEEE,2000:725-731.
[8] MORCOS M M,ZHANG S,SRIVASTAVA K D,et al. Dy-namics of metallic particle contaminants in GIS with dielec-tric-coated electrodes[J]. IEEE Transactions on Power De-livery,2000,15(2):455-460.
[9] PRAKASH K S,SRIVASTAVA K D,MORCOS M M. Move-ment of particles in compressed SF6 GIS with dielectriccoated enclosure[J]. IEEE Transactions on Dielectrics andElectrical Insulation,1997,4(3):344-347.
[10] JACKSON R L,GREEN I,MARGHITU D B. Predictingthe coefficient of restitution of impacting elastic-perfectly plastic spheres[J]. Nonlinear Dynamics,2010,60(3):217-229.
[11] JACKSON R L,GREEN I. A finite element study ofelasto-plastic hemispherical contact against a rigid flat[J].Journal of Tribology-Transactions of the ASME,2005,127(2):343-354.
[12] GREEN I. Poisson ratio effects and critical valus in spheri-cal and cylindrical hertzian contacts[J]. Applied Mechanicsand Engineering,2005,10(3):451-462.
[13] ETSION I,KLIGERMAN Y,KADIN Y. Unloading of anelastic-plastic loaded spherical contact[J]. InternationalJournal of Solids and Structures,2005,42(13):3716-3729.
[14] REED J. Energy losses due to elastic wave propagation dur-ing an elastic impact[J]. Journal of Physics D-AppliedPhysics,1985,18(12):2329-2337.
[15] DAHNEKE B. The capture of aerosol particles by surfac-es[J]. Journal of Colloid and Interface Science,1971,37(2):342-353.
[16] THORNTON C. Coefficient of restitution for collinear colli-sions of elastic-perfectly plastic spheres[J]. Journal of Ap-plied Mechanics,1997,64(2):383-386.
[17]黄小毛,查显涛,潘海兵,等.油菜籽粒点面接触碰撞中恢复系数的测定及分析[J].农业工程学报,2014,30(24):22-29.HUANG Xiaomao,ZHA Xiantao,PAN Haibing,et al. Mea-surement and analysis of rapeseeds’restitution coefficientin point-to-plate collision model[J]. Transactions of theChinese Society of Agricultural Engineering,2014,30(24):22-29.
[18] LABOUS L,ROSATO A D,DAVE R N. Measurements ofcollisional properties of spheres using high-speed videoanalysis[J]. Physical Review E,1997,56(5):5717-5725.
[19] LECONTE M,GARRABOS Y,PALENCIA F,et al. Inelas-tic ball-plane impact:An accurate way to measure the nor-mal restitution coefficient[J]. Applied Physics Letters,2006,89(24):243518.
[20] KHARAZ A H,GORHAM D A. A study of the restitutioncoefficient in elastic-plastic impact[J]. Philosophical Maga-zine Letters,2000,80(8):549-559.
[21] ROGERS L N,REED J. The adhesion of particles undergo-ing an elastic-plastic impact with a surface[J]. Journal ofPhysics D-Applied Physics,1984,17(4):677-689.
[22] SRIVASTAVA K D,MORCOS M M. A review of some criti-cal aspects of insulation design of GIS/GIL systems[C]//Transmission and Distribution Conference and Exposition.[S.l.]:IEEE,2001:787-792.
[23] MCDONALD,JOHN D. Electric power substations engineer-ing[M]. U.S.A.:CRC Press,2012:2-4.
[2]范建斌,李鹏,李金忠,等.特高压直流GIL关键技术研究[J].中国电机工程学报,2008,28(13):1-7.FAN Jianbin,LI Peng,LI Jinzhong,et al. Study on keytechnology of±800 kV UHVDC GIL[J]. Proceedings of theCSEE,2008,28(13):1-7.
[3] ASANO K,YATSUZUKA K,HIGASHIYAMA Y. The mo-tion of charged metal particles within parallel and tiltedelectrodes[J]. Journal of Electrostatics,1993(30):65-74.
[4] SAKAI K,TSURU S,ABELLA D L,et al. Conducting parti-cle motion and particle-initiated breakdown in dc electricfield between diverging conducting plates in atmosphericair[J]. IEEE Transactions on Dielectrics and Electrical Insu-lation,1999,6(1):122-130.
[5] SAKAI K,ABELLA D L,KHAN Y,et al. Theoretical andexperimental studies for spherical free-conducting particlebehavior between non-parallel plane electrodes with ac volt-ages in air[J]. IEEE Transactions on Dielectrics and Electri-cal Insulation,2003,10(3):404-417.
[6] METWALLY I A. Dynamic analysis of motion of sphericalmetallic particles in non-uniform electric field[J]. IEEETransactions on Dielectrics and Electrical Insulation,2002,9(2):282-293.
[7] MORCOS M M,ZHANG S,GUBANSKI S M,et al. Perfor-mance of particle contaminated GIS with dielectric coatedelectrodes[C]//Conference Record of the 2000 IEEE Indus-try Applications Conference.[S.l.]:IEEE,2000:725-731.
[8] MORCOS M M,ZHANG S,SRIVASTAVA K D,et al. Dy-namics of metallic particle contaminants in GIS with dielec-tric-coated electrodes[J]. IEEE Transactions on Power De-livery,2000,15(2):455-460.
[9] PRAKASH K S,SRIVASTAVA K D,MORCOS M M. Move-ment of particles in compressed SF6 GIS with dielectriccoated enclosure[J]. IEEE Transactions on Dielectrics andElectrical Insulation,1997,4(3):344-347.
[10] JACKSON R L,GREEN I,MARGHITU D B. Predictingthe coefficient of restitution of impacting elastic-perfectly plastic spheres[J]. Nonlinear Dynamics,2010,60(3):217-229.
[11] JACKSON R L,GREEN I. A finite element study ofelasto-plastic hemispherical contact against a rigid flat[J].Journal of Tribology-Transactions of the ASME,2005,127(2):343-354.
[12] GREEN I. Poisson ratio effects and critical valus in spheri-cal and cylindrical hertzian contacts[J]. Applied Mechanicsand Engineering,2005,10(3):451-462.
[13] ETSION I,KLIGERMAN Y,KADIN Y. Unloading of anelastic-plastic loaded spherical contact[J]. InternationalJournal of Solids and Structures,2005,42(13):3716-3729.
[14] REED J. Energy losses due to elastic wave propagation dur-ing an elastic impact[J]. Journal of Physics D-AppliedPhysics,1985,18(12):2329-2337.
[15] DAHNEKE B. The capture of aerosol particles by surfac-es[J]. Journal of Colloid and Interface Science,1971,37(2):342-353.
[16] THORNTON C. Coefficient of restitution for collinear colli-sions of elastic-perfectly plastic spheres[J]. Journal of Ap-plied Mechanics,1997,64(2):383-386.
[17]黄小毛,查显涛,潘海兵,等.油菜籽粒点面接触碰撞中恢复系数的测定及分析[J].农业工程学报,2014,30(24):22-29.HUANG Xiaomao,ZHA Xiantao,PAN Haibing,et al. Mea-surement and analysis of rapeseeds’restitution coefficientin point-to-plate collision model[J]. Transactions of theChinese Society of Agricultural Engineering,2014,30(24):22-29.
[18] LABOUS L,ROSATO A D,DAVE R N. Measurements ofcollisional properties of spheres using high-speed videoanalysis[J]. Physical Review E,1997,56(5):5717-5725.
[19] LECONTE M,GARRABOS Y,PALENCIA F,et al. Inelas-tic ball-plane impact:An accurate way to measure the nor-mal restitution coefficient[J]. Applied Physics Letters,2006,89(24):243518.
[20] KHARAZ A H,GORHAM D A. A study of the restitutioncoefficient in elastic-plastic impact[J]. Philosophical Maga-zine Letters,2000,80(8):549-559.
[21] ROGERS L N,REED J. The adhesion of particles undergo-ing an elastic-plastic impact with a surface[J]. Journal ofPhysics D-Applied Physics,1984,17(4):677-689.
[22] SRIVASTAVA K D,MORCOS M M. A review of some criti-cal aspects of insulation design of GIS/GIL systems[C]//Transmission and Distribution Conference and Exposition.[S.l.]:IEEE,2001:787-792.
[23] MCDONALD,JOHN D. Electric power substations engineer-ing[M]. U.S.A.:CRC Press,2012:2-4.