定日镜(带镜面偏心距和其它角度误差)的一般方位-俯仰跟踪角度公式的一些性质-郭明焕

1定日镜（带镜面偏心距和其它角度误差）的定日镜（带镜面偏心距和其它角度误差）的一般方位一般方位--俯仰跟踪角度公式的一些性质俯仰跟踪角度公式的一些性质PropertiesofageneralazimuthPropertiesofageneralazimuth--elevationelevationtrackingangleformulaforaheliostatwithatrackingangleformulaforaheliostatwithamirrormirror--pivotoffsetandotherangularerrorspivotoffsetandotherangularerrors中国科学院电工研究所InstituteofElectricalEngineering(IEE),ChineseAcademyofSciences(CAS)郭明焕博士Dr.MinghuanGUO2013年8月12-14日，三亚August12-14,2013SanyanCSPforum2报告提纲outlines1.方位-俯仰跟踪定日镜的典型几何误差Typicalgeometricalerrorsforanazimuth-elevationtrackingheliostat2.镜面偏心定日镜镜面中心的准确法向量Accuratemirror-surface-centrenormalvectorforaheliostatwithamirror-pivotoffset3.含镜面偏心距和其它角度误差定日镜的准确方位-俯仰跟踪公式Generalandaccurateazimuth-elevationtrackingangleformulaforaheliostatwithamirror-pivotoffsetandotherangularerrors4.一般方位-俯仰跟踪角度公式的一些性质Propertiesofthegeneralazimuth-elevationtrackingangleformula31.方位-俯仰跟踪定日镜的典型几何误差Typicalgeometricalerrorsforanazimuth-elevationtrackingheliostat4(1)(2)(3)(4)(1)自旋-俯仰(spinning-elevation;target-oriented)(2)方位-俯仰(azimuth-altitude;azimuth–elevation)(3)俯仰-倾斜(pitch-roll)(4)极轴式(polar)定日镜的4种典型双轴跟踪方式/fourtypicalheliostatdual-axistrackingmodes5sv()sssssαγαγαsin,sincos,coscos=OS=()3212,,OTOT/tttt==r2321cos2),,(tststsnnnvvvvvv++=+=θ0nr=ON0=()00000sin,sincos,coscosαααAA=0nr)cos/arccos()()arcsin(012030ααnnsignAn==理想定日镜的方位-俯仰跟踪公式Azimuth–elevationtrackingangleformulaforanidealheliostatwithoutgeometricerrorsθθSTN0O6定日镜跟踪的典型几何误差(typicalgeometricalerrors)镜面偏心距（mirror-pivotoffset）、立柱倾斜（pedestaltilt）、两轴非正交(non-orthogonalitybetweenthetwoheliostatrotationalaxes)、镜面平面相对俯仰轴的不平行偏角(non-paralleldegreebetweenthemirrorsurfaceplaneandthealtitudeaxis)、旋转轴的零位误差(encoderreferenceerrors)定日镜的准确方位-俯仰跟踪公式?Accurateazimuth–elevationtrackingangleformula?72.镜面偏心定日镜镜面中心的准确法向量Accuratemirror-surface-centrenormalvectorforaheliostatwithamirror-pivotoffset8LHz()ssssssαγαγαsin,sincos,coscos=v()3212,,tttt==OTOT/r镜面中心的准确法向(accuratemirror-centrenormal)⎪⎪⎩⎪⎪⎨⎧+=−=′=•=τθθτθθθτθ*),/()arccos(5.0HzLftsrr9镜面中心主太阳光线的准确入射角修正角度(Accurateincidentanglecorrectionofthecentralsolarrayattheheliostatsurfacecentre)MinghuanGuoetal.Trackingformulasandstrategiesforareceiverorienteddual-axistrackingtoroidalheliostat.SolarEnergy84(2010)939–947.⎩⎨⎧=+=zHLbb/sincoscossincossin200τθτθττ⎩⎨⎧==−+−+−τθθθcos0coscos4)41(cos442022030420ttbtbtbtb⎩⎨⎧−−−===])cos,cos4),41(,cos4,4([),,,,(cos202002044θθθτbbbbrootedcbaroott10镜面中心主太阳光线的准确入射角修正角度(Accurateincidentanglecorrectionofthecentralsolarrayattheheliostatsurfacecentre)()()()()().cos/245.0),4/()3/()cos2(3/25.03/)4arctan(884,83872272792123201302132322223120vSuSqpSvabuaApSAadaabcbqabacpaceadebbcdcaebdc++=−−−=−=Δ+−=ΔΔ+Δ−+=+−=−=−++−=Δ+−=Δτπ⎩⎨⎧−−−===])cos,cos4),41(,cos4,4([),,,,(cos202002044θθθτbbbbrootedcbaroott11镜面中心主太阳光线的准确入射角修正角度(Accurateincidentanglecorrectionofthecentralsolarrayattheheliostatsurfacecentre)⎩⎨⎧=+=zHLbb/sincoscossincossin200τθτθττ1cos=τ⎟⎟⎠⎞⎜⎜⎝⎛−=θθτcos2sinarcsinzzHLH123.含镜面偏心距和其它角度误差定日镜的准确方位-俯仰跟踪公式Generalandaccurateazimuth-elevationtrackingangleformulaforaheliostatwithamirror-pivotoffsetandotherangularerrors13一般方位-俯仰跟踪角度公式generalazimuth-elevationtrackingangleformula()()()μτψψαγαγ,,,,,,,,,,1321tazssHttt=Γ=OT()ματγψψ,,,,,12,tanormalΓ=)2sin(sinsin*θθθtsnvvv+′=()()zssnormalHttt,,,,,3211,αγ=Γ=OT14()()),,,,,,,,,(,1321μτψψαγαγtazssHttt=Γ=OT15方位-俯仰跟踪定日镜的激光束跟踪实验Laserbeamtestingonanazimuth-elevationtrackingheliostat164.一般方位-俯仰跟踪角度公式的一些性质Propertiesofthegeneralazimuth-elevationtrackingangleformula17①镜面中心法向的鲁棒表达式Robustexpressionformirror-surface-centernormal)2sin(sinsin*θθθtsnvvv+′=)2sin()sin()sin(θτθτθ++−=tsvv()()θθτθτθτθτθcossin2sincoscossinsincoscossin++−=tsvv()()θθτθτθcossin2sincoscossintstsvvvv−−+=2sinsin2coscossttsvvvv−⋅++⋅=θτθτ2cos22coscosstHLHtszzvvvv−⋅−++⋅=θθτθθτcos2sinsinzzHLH−=18②一般方位-俯仰跟踪角度公式的角度参数性质Parametricpropertiesofthegeneralazimuth-elevationtrackingangleformula()()()μτψψαγαγ,,,,,,,,,,1321tazssHttt=Γ=OT()ματγψψ,,,,,12,tanormalΓ=19②一般方位-俯仰跟踪角度公式的角度参数性质Parametricpropertiesofthegeneralazimuth-elevationtrackingangleformula20③一般方位-俯仰跟踪角度公式的角度参数性质Parametricpropertiesofthegeneralazimuth-elevationtrackingangleformula()()()μτψψαγαγ,,,,,,,,,,1321tazssHttt=Γ=OT()()05.0022cos2xabbax−+++=βα()()0222012cosβα−⎟⎟⎠⎞⎜⎜⎝⎛+−+=−abbaxx丝杠俯仰驱动定日镜的线性运动与俯仰跟踪角度的对应关系Elevationrotationgeometryofaheliostatwithlinearscrewmotioncorrespondingtotheelevationtrackinganglexα.21Thankyou！Tel：[phone]Fax：[phone]E-mail:[e-mail](IEE),ChineseAcademyofSciences(CAS)22参考资料(reference)1.MinghuanGuoetal.Trackingformulasandstrategiesforareceiverorienteddual-axistrackingtoroidalheliostat.SolarEnergy84(2010)939–947.2.MinghuanGuoetal.Accuratealtitude-azimuthtrackingangleformulasforaheliostatwithmirror-pivotoffsetandotherfixedgeometricalerrors.SolarEnergy2011,85(5):1091-1100.3.MinghuanGuoetal.OntheanalysisofanellipticalGaussianfluximageanditsequivalentcircularGaussianfluximages.SolarEnergy2011,85(5):1144-1163.共20页4.MinghuanGuoetal.Determinationoftheangularparametersinthegeneralaltitude-azimuthtrackingangleformulasforaheli