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["DISCLAIMER"]
["This tool was developed by an observer participating with the Protection System Response to Power Swings Standard Drafting Team (PSRPS SDT) as a standard development aid for understanding how the PRC-026-1 - Attachment B criteria (i.e., lens) is applied under the draft PRC-026-1 standard. This tool is provided entirely for demonstration purposes, is not to be relied on for actual calculations, and is not intended to be used for compliance with any NERC Reliability Standard."]
[]
["PRC-026-1  Stable Power Swings"]
["LINE and SYSTEM INPUT DATA (yellow background cells)"]
["Enter the case identifier in cell A2, (e.g. Station and Line Names)."]
["System Nominal Voltage (e.g. 230 kV, cell D5)."]
["Weak bus equivalent voltage ratio, default = 0.7 based on PRC-026-1 - Attachment B Criteria (cell D6)."]
["Maximum stable power swing angle, default is 120° based on PRC-026-1 - Attachment B Criteria (cell D7)."]
["Enter the line impedance R + j X in primary ohms (cells B10 and C10)."]
["Enter the Source (cells B17 and C17) and Receiving (cells E17 and F17) bus 3-phase fault duty contributions at the terminal in primary amps and angle. These fault values are obtained from a fault modeling program and may be calculated based on saturated (transient or sub-transient) reactance based on PRC-026-1 - Attachment B Criteria."]
["If desired (not required by PRC-026-1), the user may enter the system transfer resistance and reactance in primary ohms between the source and receiving ends of the line (cells I17 and J17).  The preferred impedances per the PRC-026-1 Application Guidelines are infinite (>> than line impedance)."]
["RELAY INPUT DATA   (yellow background cells)"]
["The user may select either MHO or QUAD characteristics, depending on their specific relay characteristics (cel B23)."]
["The user may enter the characteristics for up to two impedance zones (cells B26 - C33). Depending on the specific characteristic shape, not all of these cells will need data entries."]
["SPREAD SHEET RESULTS"]
["The spreadsheet tab \"PRC-026-1\" allows data entry for the user and calculates the power swing stability lens characteristic per the PRC-026-1 Application Guidelines. The results are plotted in the chart \"PRC-026-1 Chart\" tab along with relay impedance element characteristics, scaled in primary ohms."]
["Distance protection systems which may be susceptible to tripping in response to a stable power swings will have at least part of the relay protection element outside of the 120° lens characteristic as calculated by the spreadsheet. Relay impedance characteristics contained completely inside the lens will meet the PRC-026-1 - Attachment B Criteria are expected to not trip on a stable ower swing."]

{"sheet":"PRC-026-1","index":1,"n_rows":124,"n_cols":20,"rows_kept":124,"cut":false,"hidden":false,"merged":[[1,0,1,1],[60,31,60,32],[79,4,79,6],[105,4,105,6],[60,28,60,29],[2,15,2,17],[2,18,2,20],[60,25,60,26]]}
["PRC-026-1  Stable Power Swings",null,null,null,null,null,null,null,"Input System and Settings Data",null,"Pirad =",{"$f":"180/PI()","v":57.295779513082323}]
["California Sub 101 Line",null,null,null,null,null,null,null,"Plotted Data"]
[]
[null,null,null,null,null,null,null,null,"Drop-Down Menus",null,null,null,"CHART LABELS"]
[null,null,"V base =",120,"kV",null,null,null,"E53,Q53","B64-E64",null,null,"Weak Equivalent voltage ratio, Eq: =",{"$f":"\"Equivalent Source\nVoltage Ratios = \" & ROUND($D$6,2)","v":"Equivalent Source\nVoltage Ratios = 0.7"}]
[null,null,"Weak Bus Equivalent Voltage Ratio =",0.7,"for source / receiving  or  receiving / source system",null,null,null,"Mho","F",null,null,"Label 11 =",{"$f":"B25 & IF(B26=0,\"Not Used\",\"  (\" & B32 & \")\")","v":"Zone 1  (F)"}]
[null,null,"Stable Power Swing Limit Angle =",120,"degrees, default = 120",null,null,null,"Quad","R",null,null,"Label 12 =",{"$f":"C25 & IF(C26=0,\"Not Used\",\"  (\" & C32 & \")\")","v":"Zone 2  (F)"}]
[]
["Line Impedance (input RL + j XL in primary ohms)"]
["\"RL + j XL =\"",5.3250000000000002,15.227,"primary Ώ"]
["\"Line Z =\"",{"$f":"SQRT(B10^2+C10^2)","v":16.131247750871601},{"$f":"Pirad*ATAN2(B10,C10)","v":70.724872155550315},"MAG / ANGLE"]
[]
[]
["System Equivalents and Transfer Impedances.  Fault duties are in primary amps /angle.  Transfer impedances are in primary ohms, R + j X."]
["(N)","Maximum Generation, System Intact"]
[null,"Source End Fault Duty (A pri)",null,"Receiving End Fault Duty (A pri)",null,null,"System Transfer Impedance (input R + j X in primary ohms)",null,null,null,"MAG","Angle"]
["I f / ang =",6609,-84,"I f / ang =",2686,-76,null,"Rtr + j Xtr =",99999,999999,{"$f":"SQRT(I17^2+J17^2)","v":1004986.4675715788},{"$f":"Pirad*ATAN2(I17,J17)","v":84.28945791820108},"primary Ώ"]
["Z f =",{"$f":"1000*V_base/(SQRT(3)*B17)","v":10.482982645295065},{"$f":"-C17","v":84},"\"Z f \"",{"$f":"1000*V_base/(SQRT(3)*E17)","v":25.793757372581943},{"$f":"-F17","v":76},null,"ZL + Ztr =",{"$f":"(B$10+I17)","v":100004.325},{"$f":"(C$10+J17)","v":1000014.227},{"$f":"SQRT(I18^2+J18^2)","v":1005002.148863928},{"$f":"Pirad*ATAN2(I18,J18)","v":84.289242221780228},"primary Ώ"]
["Rf + j Xf =",{"$f":"B18*COS(C18/Pirad)","v":1.0957700663741738},{"$f":"B18*SIN(C18/Pirad)","v":10.425555769511563},"Rf + j Xf =",{"$f":"E18*COS(F18/Pirad)","v":6.2400746782129275},{"$f":"E18*SIN(F18/Pirad)","v":25.027572543216234},null,"ZT =",{"$f":"K19*COS(L19/Pirad)","v":5.3248595898318012},{"$f":"K19*SIN(L19/Pirad)","v":15.226782455566916},{"$f":"B11*K17/K18","v":16.130996051099391},{"$f":"C11+L17-L18","v":70.725087851971182},"primary Ώ"]
[]
[]
[null,null,"Distance Protection Zone Shape ="]
[null,"Mho"]
[]
[null,"Zone 1","Zone 2"]
[{"$f":"IF(B23=\"Mho\",\"Mho\",\"Quad\") & \" Fwd Reach\"","v":"Mho Fwd Reach"},13,19.309999999999999,"primary Ώ",null,"R","X","Diameter"]
[{"$f":"IF(B23=\"Mho\",\"Forward\",\"Quad Right\") & \" MTA\"","v":"Forward MTA"},75,{"$f":"B27","v":75},null,"1F",{"$f":"B26*COS(B27/Pirad)","v":3.3646475863327696},{"$f":"B26*SIN(B27/Pirad)","v":12.557035741757888},{"$f":"SQRT((F27-F28)^2+(G27-G28)^2)","v":13}]
[{"$f":"IF(B23=\"Mho\",\"Mho\",\"Quad\") & \" Rev Reach\"","v":"Mho Rev Reach"},0,0,null,"1R",{"$f":"-B28*COS(B29/Pirad)","v":0},{"$f":"-B28*SIN(B29/Pirad)","v":0},null,null,null,null,null,null,{"$f":"D7&\"º Full Lens Characteristic\"","v":"120º Full Lens Characteristic"}]
[{"$f":"IF(B23=\"Mho\",\"Reverse\",\"Quad Left\") & \" MTA\"","v":"Reverse MTA"},75,{"$f":"B29","v":75},null,"2F",{"$f":"C26*COS(C27/Pirad)","v":4.9977957609296748},{"$f":"C26*SIN(B27/Pirad)","v":18.652027705641906},{"$f":"SQRT((F29-F30)^2+(G29-G30)^2)","v":19.309999999999999},null,null,null,null,"Angles","R max/min","X max/min"]
[{"$f":"IF(B23=\"Mho\",\"Not Used\",\"Quad Right Blinder\")","v":"Not Used"},4,6,null,"2R",{"$f":"-C28*COS(C29/Pirad)","v":0},{"$f":"-C28*SIN(C29/Pirad)","v":0},null,null,null,null,"Upper Right",{"$f":"(M36-M41)/5","v":12.000000000000002},{"$f":"S32*COS(S34/Pirad)","v":11.565266265675353},{"$f":"S32*SIN(S34/Pirad)","v":40.254939568587361}]
[{"$f":"IF(B23=\"Mho\",\"Not Used\",\"Quad Left Blinder\")","v":"Not Used"},0,0,null,null,null,null,null,null,null,null,"Lower Right",{"$f":"(M42-M47)/5","v":12.000000000000005},{"$f":"S33*COS(S35/Pirad)","v":-1.0958093145463645},{"$f":"S33*SIN(S35/Pirad)","v":-10.425551644287747}]
["Forward / Reverse","F","F",null,null,null,null,null,null,null,null,"Upper Left",{"$f":"(M59-M54)/5","v":-12.000000000000011},"XX","XX",null,null,"Forward Reach =",{"$f":"SQRT(A68^2+B68^2)","v":41.883356401637499},{"$f":"8*(S32-S33)","v":418.93071237546053}]
["Zone Timers (sec)",0,0.3,null,null,null,null,null,null,null,null,"Lower Left",{"$f":"(M53-M48)/5","v":-12},"Radius =",{"$f":"SQRT((N30-S44)^2+(O30-T44)^2)/(2*COS(D7/2/Pirad))","v":30.159658621113937},null,null,"Reverse Reach  =",{"$f":"-B18","v":-10.482982645295065},{"$f":"-T32","v":-418.93071237546053}]
[null,null,null,null,null,null,null,null,{"$f":"D7&\"º Stable Swing Characteristic\"","v":"120º Stable Swing Characteristic"},null,null,"Right Lens","XX",{"$f":"S44-O33*COS((S36-90)/Pirad)","v":-9.3954691466434497},{"$f":"T44-O33*SIN((S36-90)/Pirad)","v":18.569631659385404},null,null,"Forward RCA =",{"$f":"Pirad*ATAN2(A68,B68)","v":73.970612460207576}]
[null,null,null,null,null,null,null,null,"R","X",null,"Left Lens","XX",{"$f":"S42+(O33-S41)*COS((S36-90)/Pirad)","v":19.864926097772436},{"$f":"S43+(O33-S41)*SIN((S36-90)/Pirad)","v":11.259756264914209},null,null,"Reverse RCA =",{"$f":"Pirad*ATAN2(-A65,-B65)","v":83.999784303579133}]
[null,null,null,null,null,null,null,null,{"$f":"H97","v":17.781750093336409},{"$f":"I97","v":5.4927909658462752},null,null,{"$f":"Pirad*ATAN2(N30-N34,O30-O34)","v":45.973383430981237},{"$f":"N$34+O$33*COS(M36/Pirad)","v":11.565266265675355},{"$f":"O$34+O$33*SIN(M36/Pirad)","v":40.254939568587361},null,null,"Lens Characteristic RCA =",{"$f":"Pirad*ATAN2((N30-N31),(O30-O31))","v":75.973383430981229}]
[null,null,null,null,null,null,null,null,{"$f":"I36-0.2*(I$36-I$41)","v":12.167256302338766},{"$f":"SQRT(J$78^2-(I37-H$78)^2)+I$78","v":7.9203166192146597},null,"Upper",{"$f":"M36-M$30","v":33.973383430981237},15.615852939838209,35.423081621586235]
["Center",{"$f":"IF(B32=\"F\",1,-1)*(F27+F28)/2","v":1.6823237931663848},{"$f":"IF(B32=\"F\",1,-1)*(G27+G28)/2","v":6.278517870878944},{"$f":"IF(C32=\"F\",1,-1)*(F29+F30)/2","v":2.4988978804648374},{"$f":"IF(C32=\"F\",1,-1)*(G29+G30)/2","v":9.3260138528209531},null,null,null,{"$f":"I37-0.2*(I$36-I$41)","v":6.5527625113411219},{"$f":"SQRT(J$78^2-(I38-H$78)^2)+I$78","v":9.7887262555653649},null,null,{"$f":"M37-M$30","v":21.973383430981237},18.573324821182705,29.854647039411418,null,null,null,"Lens","m+1/m"]
["          Angle","R1","X1","R2","X2",null,null,null,{"$f":"I38-0.2*(I$36-I$41)","v":0.93826872034347808},{"$f":"SQRT(J$78^2-(I39-H$78)^2)+I$78","v":11.160686353512673},null,null,{"$f":"M38-M$30","v":9.9733834309812348},20.308426196969467,23.79300313361766,null,null,"m =tan (Char MTA)",{"$f":"TAN(S36/Pirad)","v":4.0028582794375538},{"$f":"S39+1/S39","v":4.2526797645340757}]
[0,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A40/Pirad))/2,B56)","v":8.1823237931663844},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A40/Pirad))/2,C56)","v":6.278517870878944},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A40/Pirad))/2,D56)","v":12.153897880464836},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A40/Pirad))/2,E56)","v":9.3260138528209531},null,null,null,{"$f":"I39-0.2*(I$36-I$41)","v":-4.6762250706541657},{"$f":"SQRT(J$78^2-(I40-H$78)^2)+I$78","v":12.064907645655893},null,"Right",{"$f":"M39-M$30","v":-2.026616569018767},20.745324811136463,17.503072829882758,null,null,"P1-P2 =",{"$f":"SQRT((N30-N31)^2+(O30-O31)^2)","v":52.238061070702059}]
[30,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A41/Pirad))/2,B56)","v":7.3114889177652369},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A41/Pirad))/2,C56)","v":9.5285178708789431},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A41/Pirad))/2,D56)","v":10.860373154003593},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A41/Pirad))/2,E57)","v":14.153513852820952},null,null,null,{"$f":"H98","v":-10.290718861651808},{"$f":"I98","v":11.751777832819098},null,"of",{"$f":"Pirad*ATAN2(S56-N34,T56-O34)","v":-14.026616569018771},19.864926097772454,11.259756264914206,null,null,"Po-P  =",{"$f":"S40/(2*TAN(D7/(2*Pirad)))","v":15.079829310556978}]
[60,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A42/Pirad))/2,B57)","v":4.9323237931663861},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A42/Pirad))/2,C57)","v":11.907682995477796},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A42/Pirad))/2,D57)","v":7.326397880464838},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A42/Pirad))/2,E57)","v":17.687489126359708},null,null,null,{"$f":"H98","v":-10.290718861651808},{"$f":"I98","v":11.751777832819098},null,"MTA",{"$f":"Pirad*ATAN2(S57-N34,T57-O34)","v":-14.026616569018771},19.864926097772454,11.259756264914206,null,null,"Ro =",{"$f":"(N30+N31)/2","v":5.2347284755644941}]
[90,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A43/Pirad))/2,B57)","v":1.6823237931663853},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A43/Pirad))/2,C57)","v":12.778517870878943},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A43/Pirad))/2,D57)","v":2.4988978804648379},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A43/Pirad))/2,E57)","v":18.981013852820951},null,null,null,{"$f":"N$35-SQRT(O$33^2-(J43-O$35)^2)","v":-10.140776400882093},{"$f":"J42-0.2*(J$41-J$47)","v":14.303245332476244},null,"Line",{"$f":"M42-M$31","v":-26.026616569018778},17.705707705273181,5.3359163313578826,null,null,"Xo =",{"$f":"(O30+O31)/2","v":14.914693962149807}]
[120,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A44/Pirad))/2,B31)","v":-1.5676762068336139},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A44/Pirad))/2,0)","v":11.907682995477796},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A44/Pirad))/2,C31)","v":-2.3286021195351605},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A44/Pirad))/2,0)","v":17.687489126359708},null,null,null,{"$f":"N$35-SQRT(O$33^2-(J44-O$35)^2)","v":-9.771225291250115},{"$f":"J43-0.2*(J$41-J$47)","v":16.854712832133391},null,null,{"$f":"M43-M$31","v":-38.026616569018785},14.362037838470247,-9.5467399520146046E-3,null,null,"R r + J X r =",{"$f":"S42+S41*COS((90-S36)/Pirad)","v":19.864926097772454},{"$f":"S43+S41*SIN((S36-90)/Pirad)","v":11.259756264914206}]
[150,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A45/Pirad))/2,B58)","v":-3.9468413314324668},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A45/Pirad))/2,C58)","v":9.5285178708789431},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A45/Pirad))/2,D58)","v":-5.8625773930739173},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A45/Pirad))/2,E58)","v":14.153513852820952},null,null,null,{"$f":"N$35-SQRT(O$33^2-(J45-O$35)^2)","v":-9.1736823927312088},{"$f":"J44-0.2*(J$41-J$47)","v":19.406180331790537},null,null,{"$f":"M44-M$31","v":-50.026616569018792},9.9800509152511054,-4.5430105624215571,null,null,"R L + J X L =",{"$f":"S42-S41*COS((90-S36)/Pirad)","v":-9.3954691466434674},{"$f":"S43-S41*SIN((S36-90)/Pirad)","v":18.569631659385408}]
[180,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A46/Pirad))/2,B58)","v":-4.8176762068336156},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A46/Pirad))/2,C58)","v":6.2785178708789449},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A46/Pirad))/2,D58)","v":-7.156102119535162},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A46/Pirad))/2,E58)","v":9.3260138528209549},null,null,null,{"$f":"N$35-SQRT(O$33^2-(J46-O$35)^2)","v":-8.3336576285926931},{"$f":"J45-0.2*(J$41-J$47)","v":21.957647831447684},null,"Lower",{"$f":"M45-M$31","v":-62.026616569018799},4.7512607912666045,-8.0663410130358457,null,null,"B r/L =",{"$f":"S43-S42*TAN((S36-90)/Pirad)","v":16.222441603992383}]
[210,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A47/Pirad))/2,B59)","v":-3.9468413314324677},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A47/Pirad))/2,C59)","v":3.0285178708789458},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A47/Pirad))/2,D59)","v":-5.8625773930739191},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A47/Pirad))/2,E59)","v":4.4985138528209561},null,null,null,{"$f":"H124","v":-7.2286062019718091},{"$f":"I124","v":24.50911533110483},null,null,{"$f":"Pirad*ATAN2(N31-N34,O31-O34)","v":-74.026616569018799},-1.0958093145463614,-10.425551644287747,null,null,null,"Left","Right"]
[240,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A48/Pirad))/2,B59)","v":-1.5676762068336179},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A48/Pirad))/2,C59)","v":0.64935274628009498},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A48/Pirad))/2,D59)","v":-2.3286021195351667},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A48/Pirad))/2,E59)","v":0.96453857928220188},null,null,null,{"$f":"H124","v":-7.2286062019718091},{"$f":"I124","v":24.50911533110483},null,null,{"$f":"IF(Pirad*ATAN2(N31-N35,O31-O35)>0,Pirad*ATAN2(N31-N35,O31-O35)-360,Pirad*ATAN2(N31-N35,O31-O35))","v":-134.02661656901876},{"$f":"N$35+O$33*COS(M48/Pirad)","v":-1.0958093145463579},{"$f":"O$35+O$33*SIN(M48/Pirad)","v":-10.425551644287751},null,null,"r=",{"$f":"N35-O33*COS((S36-90)/Pirad)","v":-9.3954691466434674},{"$f":"N34-O33*COS((S36-90)/Pirad)","v":-38.655864391059353}]
[270,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A49/Pirad))/2,B30)","v":1.6823237931663837},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A49/Pirad))/2,0)","v":-0.22148212912105603},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A49/Pirad))/2,C30)","v":2.4988978804648356},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A49/Pirad))/2,0)","v":-0.32898614717904628},null,null,null,{"$f":"I47-0.2*(I$47-I$53)","v":-1.6340576323244367},{"$f":"-SQRT(J$104^2-(I49-H$104)^2)+I$104","v":21.884759874167273},null,"Lower",{"$f":"M48+M$32","v":-146.02661656901876},-5.146395988709223,-5.5936936972866178,null,null,"x=",{"$f":"TAN((S36-90)/Pirad)*S48+S46","v":18.569631659385408},{"$f":"TAN((S36-90)/Pirad)*T48+S46","v":25.879507053856603}]
[300,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A50/Pirad))/2,B56)","v":4.9323237931663861},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A50/Pirad))/2,C56)","v":0.64935274628009321},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A50/Pirad))/2,D56)","v":7.326397880464838},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A50/Pirad))/2,E56)","v":0.96453857928219833},null,null,null,{"$f":"I49-0.2*(I$47-I$53)","v":3.9604909373229358},{"$f":"-SQRT(J$104^2-(I50-H$104)^2)+I$104","v":20.027916246130701},null,null,{"$f":"M49+M$32","v":-158.02661656901876},-8.1038678700537154,-2.5259115111808228E-2,null,null,"B blinder=",{"$f":"-S39*#REF!","v":{"$error":"#REF!"}},{"$f":"-S39*#REF!","v":{"$error":"#REF!"}}]
[330,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A51/Pirad))/2,B56)","v":7.3114889177652334},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A51/Pirad))/2,C56)","v":3.0285178708789413},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A51/Pirad))/2,D56)","v":10.860373154003589},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A51/Pirad))/2,E56)","v":4.498513852820949},null,null,null,{"$f":"I50-0.2*(I$47-I$53)","v":9.5550395069703082},{"$f":"-SQRT(J$104^2-(I51-H$104)^2)+I$104","v":18.663720955359778},null,null,{"$f":"M50+M$32","v":-170.02661656901876},-9.8389692458404774,6.0363847906819421,null,null,"a=",{"$f":"1+S39^2","v":17.022874405261774},{"$f":"1+S39^2","v":17.022874405261774}]
[360,{"$f":"IF($B$23=\"Mho\",$B$38+($H$27*COS($A52/Pirad))/2,B56)","v":8.1823237931663844},{"$f":"IF($B$23=\"Mho\",$C$38+($H$27*SIN($A52/Pirad))/2,C56)","v":6.2785178708789422},{"$f":"IF($B$23=\"Mho\",$D$38+($H$29*COS($A52/Pirad))/2,D56)","v":12.153897880464836},{"$f":"IF($B$23=\"Mho\",$E$38+($H$29*SIN($A52/Pirad))/2,E56)","v":9.3260138528209513},null,null,null,{"$f":"I51-0.2*(I$47-I$53)","v":15.149588076617681},{"$f":"-SQRT(J$104^2-(I52-H$104)^2)+I$104","v":17.763844613362537},null,"Left",{"$f":"M51+M$32","v":-182.02661656901876},-10.275867860007477,12.326315094416854,null,null,"b=",{"$f":"-2*(N35+S39*(T33*S39+O35))","v":13295.076108423231},{"$f":"-2*(N34+S39*(T32*S39+O34))","v":-13554.820647172162}]
[null,null,null,null,null,null,null,null,{"$f":"H123","v":20.744136646265055},{"$f":"I123","v":17.47000863752363},null,"of",{"$f":"IF(Pirad*ATAN2(S59-N35,T59-O35)>0,Pirad*ATAN2(S59-N35,T59-O35)-360,Pirad*ATAN2(S59-N35,T59-O35))","v":-194.02661656901876},-9.395469146643471,18.569631659385401,null,null,"c=",{"$f":"N35^2+T33*S39*(T33*S39+2*O35)+O35^2-O33^2","v":2773909.9591051475},{"$f":"N34^2+T32*S39*(T32*S39+2*O34)+O34^2-O33^2","v":2873864.6783018676}]
["Zone Distance Quad Relay Characteristics",null,null,null,null,null,null,null,{"$f":"H123","v":20.744136646265055},{"$f":"I123","v":17.47000863752363},null,"MTA",{"$f":"IF(Pirad*ATAN2(S58-N35,T58-O35)<0,Pirad*ATAN2(S58-N35,T58-O35),Pirad*ATAN2(S58-N35,T58-O35)-360)","v":-194.02661656901876},-9.395469146643471,18.569631659385401,null,null,null,{"$f":"S52^2-4*S51*S53","v":-12120634.65264079},{"$f":"T52^2-4*T51*T53","v":-11952587.128798157}]
["Blinder X Int'cpt L/R =",{"$f":"-B31*TAN(B29/Pirad)","v":0},{"$f":"-B30*TAN(B27/Pirad)","v":-14.928203230275511},{"$f":"-C31*TAN(C29/Pirad)","v":0},{"$f":"-C30*TAN(C27/Pirad)","v":-22.392304845413264},null,null,null,{"$f":"N$34+SQRT(O$33^2-(J55-O$34)^2)","v":20.560991223531857},{"$f":"J54-0.2*(J$53-J$59)","v":15.07456510318816},null,"Line",{"$f":"M54+M$33","v":-206.02661656901876},-7.2362507541441978,24.493471592941717,null,null,"Blinder-Mho Circle Intersections","R outer","X outer"]
["Q1 =",{"$f":"(B26-C55)/TAN(B27/Pirad)","v":7.4833395016045952},{"$f":"B26","v":13},{"$f":"(C26-E55)/TAN(C27/Pirad)","v":11.174098905844978},{"$f":"C26","v":19.309999999999999},null,null,null,{"$f":"N$34+SQRT(O$33^2-(J56-O$34)^2)","v":20.183356033127712},{"$f":"J55-0.2*(J$53-J$59)","v":12.67912156885269},null,null,{"$f":"M55+M$33","v":-218.02661656901876},-3.8925808873412677,29.838934664251617,null,null,"Upper Right",{"$f":"IF(T54<0,S44,(-T52+SQRT(T52^2-4*T51*T53))/(2*T51))","v":19.864926097772454},{"$f":"IF(T54<0,T44,S39*S56+T50)","v":11.259756264914206}]
["Q2 =",{"$f":"(B26-B55)/TAN(B29/Pirad)","v":3.4833395016045947},{"$f":"B26","v":13},{"$f":"(C26-D55)/TAN(C29/Pirad)","v":5.1740989058449784},{"$f":"C26","v":19.309999999999999},null,null,null,{"$f":"N$34+SQRT(O$33^2-(J57-O$34)^2)","v":19.603633954464112},{"$f":"J56-0.2*(J$53-J$59)","v":10.283678034517219},null,null,{"$f":"M56+M$33","v":-230.02661656901876},0.48940603587785603,34.372398486721153,null,null,"Lower Right",{"$f":"IF(T54<0,S44,(-T52-SQRT(T52^2-4*T51*T53))/(2*T51))","v":19.864926097772454},{"$f":"IF(T54<0,T44,S39*S57+T50)","v":11.259756264914206}]
["Q3 =",{"$f":"-(B28+B55)/TAN(B29/Pirad)","v":0},{"$f":"-B28","v":0},{"$f":"-(C28+D55)/TAN(C29/Pirad)","v":0},{"$f":"-C28","v":0},null,null,null,{"$f":"N$34+SQRT(O$33^2-(J58-O$34)^2)","v":18.809366659818682},{"$f":"J57-0.2*(J$53-J$59)","v":7.8882345001817482},null,"Upper",{"$f":"M57+M$33","v":-242.02661656901876},5.7181961598623552,37.895728937335448,null,null,"Upper Left",{"$f":"IF(S54<0,S45,(-S52+SQRT(S52^2-4*S51*S53))/(2*S51))","v":-9.3954691466434674},{"$f":"IF(S54<0,T45,S39*S58+S50)","v":18.569631659385408}]
["Q4 =",{"$f":"-(B28+C55)/TAN(B27/Pirad)","v":4},{"$f":"-B28","v":0},{"$f":"-(C28+E55)/TAN(C27/Pirad)","v":5.9999999999999991},{"$f":"-C28","v":0},null,null,null,{"$f":"H97","v":17.781750093336409},{"$f":"I97","v":5.4927909658462752},null,null,{"$f":"Pirad*ATAN2(N30-N35,O30-O35)-360","v":-254.02661656901881},11.565266265675357,40.254939568587361,null,null,"Lower Left",{"$f":"IF(S54<0,S45,(-S52-SQRT(S52^2-4*S51*S53))/(2*S51))","v":-9.3954691466434674},{"$f":"IF(S54<0,T45,S39*S59+S50)","v":18.569631659385408}]
[]
[]
["System Impedance Loci",null,null,null,null,null,"System Swing Locus:"]
[{"$f":"A62 & \": \" & B15 & \", Es = Er\"","v":"System Impedance Loci: Maximum Generation, System Intact, Es = Er"},null,null,null,null,null,{"$f":"G62 & \" \" & B15 & \", Es = Er\"","v":"System Swing Locus: Maximum Generation, System Intact, Es = Er"}]
["RL1","XL1","Z slope","Swing slope","Swing Intercept",null,"RS1","XS1"]
[{"$f":"-B11*B18*COS((C11+C18-L19)/Pirad)/K19","v":-1.0958264129917417},{"$f":"-B11*B18*SIN((C11+C18-L19)/Pirad)/K19","v":-10.42571431923762},{"$f":"(B68-B65)/(A68-A65)","v":4.0028657221045174},{"$f":"-1/C65","v":-0.24982102059477712},{"$f":"H65-D$65*G65","v":16.222355699201398},null,{"$f":"3*MIN(N36:N59)","v":-30.82760358002243},{"$f":"H66+D65*(G65-G66)","v":23.923739088053807}," - swing locus"]
[0,0,"slope ang",{"$f":"180*ATAN(C65)/PI()","v":75.973408481548418},{"$f":"Pirad*ATAN(D66)","v":89.245887842287402},null,{"$f":"(A65+A68)/2","v":5.2347199263418069},{"$f":"(B65+B68)/2","v":14.91461262467487},"Swing locus midpoint"]
[{"$f":"B10","v":5.3250000000000002},{"$f":"C10","v":15.227},"Zsw120=",{"$f":"C71/2/SQRT(3)","v":15.079876066895981},null,null,{"$f":"3*MAX(N36:N59)","v":62.235974433409389},{"$f":"H66+D65*(G67-G66)","v":0.67450104853660697}," + swing locus"]
[{"$f":"A67+B11*E18*COS((C11+F18-L19)/Pirad)/K19","v":11.565266265675355},{"$f":"B67+B11*E18*SIN((C11+F18-L19)/Pirad)/K19","v":40.254939568587361},"R-",{"$f":"G66-D67*SIN(PI()*D66/180)","v":-9.3955246560791945}]
[null,null,"R+",{"$f":"G66+D67*SIN(PI()*D66/180)","v":19.86496450876281}]
[null,"R + j X =",{"$f":"A68-A65","v":12.661092678667096},{"$f":"B68-B65","v":50.680653887824981}]
[null,"Z N =",{"$f":"SQRT(C70^2+D70^2)","v":52.238223039411537},{"$f":"ATAN2(C70,D70)*Pirad","v":75.973408481548418},{"$f":"B65-C65*A65","v":-6.0392683332962296}]
[null,"Xn =",{"$f":"B65-A65*C65","v":-6.0392683332962296},null,{"$f":"(E65-E71)/(C65-D65)","v":5.2347199263418061}]
[]
["Weak Source End Swing Locus and intersections with the Lens Characteristics (Es < Er, circular excitation model)"]
["E(S)/E(R) =",{"$f":"$D$6","v":0.7},null,"Re (kZtF)","Im (kZtF)","R1 (seg)","X1 (seg)","Δ R","Δ X","Radius"]
["Z (R) =",{"$f":"C71","v":52.238223039411537},{"$f":"D71","v":75.973408481548418},{"$f":"IF($B$75<1,$B$75/($B$75-1),1)*B$76*COS(C$76/Pirad)","v":-29.542549583556546},{"$f":"IF($B$75<1,$B$75/($B$75-1),1)*B$76*SIN(C$76/Pirad)","v":-118.2548590715916},{"$f":"D76+$B$78","v":-30.638375996548287},{"$f":"E76+$C$78","v":-128.68057339082921},{"$f":"F76-F77","v":-34.755940686537116},{"$f":"G76-G77","v":-139.12336361363717},{"$f":"SQRT(H76^2+I76^2)/2","v":71.699521818800136}]
[null,{"$f":"C70","v":12.661092678667096},{"$f":"D70","v":50.680653887824981},{"$f":"B75*B77/(B75+1)","v":5.2133911029805686},{"$f":"B75*C77/(B75+1)","v":20.868504542045581},{"$f":"D77+$B$78","v":4.1175646899888267},{"$f":"E77+$C$78","v":10.442790222807961}]
["- Rs - j Xs =",{"$f":"A65","v":-1.0958264129917417},{"$f":"B65","v":-10.42571431923762},null,null,null,"ES < ER Swing Locus Center and Radius",{"$f":"(F77+F76)/2","v":-13.260405653279729},{"$f":"(G77+G76)/2","v":-59.118891584010626},{"$f":"J76","v":71.699521818800136}]
[]
[null,null,null,{"$f":"\"Swing Locus, Es/Er = \"&B75","v":"Swing Locus, Es/Er = 0.7"},"Power Swing Vulnerability Full Lens"]
["Δ θ","θ","R-S","X-S","crossing","slope","Intercept"]
[{"$f":"(B88-B82)/6","v":12.892960229248217},{"$f":"Pirad*ACOS(MAX(-1,MIN(1,(2*ABS(G65)-$H$78)/$J$78)))","v":0},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B82/Pirad),C83)","v":58.439116165520403},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B82/Pirad),D83)","v":-59.118891584010626},{"$f":"(C82-$N$34)^2+(D82-$O$34)^2-$O$33^2","v":9727.4326000707897},{"$f":"IF(E82/E83<0,(D82-D83)/(C82-C83),0)","v":0},{"$f":"IF(F82<>0,D82-F82*C82,0)","v":0}]
[null,{"$f":"B$88-5*A$82","v":12.892960229248217},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B83/Pirad),C84)","v":56.631472056106077},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B83/Pirad),D84)","v":-43.120552317047483},7255.6307554953473,0,0]
[null,{"$f":"B$88-4*A$82","v":25.785920458496435},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B84/Pirad),C85)","v":51.299686144001242},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B84/Pirad),D85)","v":-27.928893569082028},4936.4097160357633,0,0]
["Right",{"$f":"B$88-3*A$82","v":38.678880687744652},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B85/Pirad),C86)","v":42.712601823197602},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B85/Pirad),D86)","v":-14.309920795977469},2886.7110217208178,0,0]
[null,{"$f":"B$88-2*A$82","v":51.571840916992869},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B86/Pirad),C87)","v":31.303203637965158},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B86/Pirad),D87)","v":-2.9503402765230078},1209.8861504087945,-0.6244248234483063,16.596157128479767]
[null,{"$f":"B$88-1*A$82","v":64.464801146241086},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B87/Pirad),#REF!)","v":17.64678500444742},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B87/Pirad),#REF!)","v":5.5770665176474665},-9.5147496076370999,0,0]
[null,{"$f":"180+Pirad*ATAN2(H78,I78)","v":77.357761375489304},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B88/Pirad),#REF!)","v":2.4319403252949989},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B88/Pirad),#REF!)","v":10.84232414823137},{"$f":"MIN((C88-$N$34)^2+(D88-$O$34)^2-$O$33^2,(C88-$N$35)^2+(D88-$O$35)^2-$O$33^2)","v":-710.00611195329543},0,0]
[null,{"$f":"B$88-1*A$94","v":94.464801146241086},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B89/Pirad),#REF!)","v":-18.841972434907984},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B89/Pirad),#REF!)","v":12.363046983062532},{"$f":"(C89-$N$35)^2+(D89-$O$35)^2-$O$33^2","v":589.83623628583757},{"$f":"IF(E88/E89<0,(D88-D89)/(C88-C89),0)","v":-7.1482987261091493E-2},11.016166507524167]
[null,{"$f":"B$88-2*A$94","v":111.57184091699287},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B90/Pirad),C89)","v":-39.621993333711217},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B90/Pirad),D89)","v":7.5586018002754969},2642.7871196768106,0,0]
["Left",{"$f":"B$88-3*A$94","v":128.67888068774465},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B91/Pirad),C90)","v":-58.069376441312883},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B91/Pirad),D90)","v":-3.1458841075332913},5371.6729786518381,0,0]
[null,{"$f":"B$88-4*A$94","v":145.78592045849643},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B92/Pirad),C91)","v":-72.551782176834593},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B92/Pirad),D91)","v":-18.803211024374235},8535.0249624085136,0,0]
[null,{"$f":"B$88-5*A$94","v":162.89296022924822},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B93/Pirad),C92)","v":-81.787716901284767},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B93/Pirad),D92)","v":-38.027920952869906},11852.929946076116,0,0]
[{"$f":"(B88-B94)/6","v":-17.107039770751783},{"$f":"Pirad*ACOS(MAX(-1,MIN(1,(-2*ABS(G67)-$H$78)/$J$78)))","v":180},{"$f":"IF($B$101>1,$H$78+$J$78*COS(B94/Pirad),C93)","v":-84.959927472079869},{"$f":"IF($B$101>1,$I$78+$J$78*SIN(B94/Pirad),D93)","v":-59.118891584010619},15031.798990841817,0,0]
[]
["Weak Source + Mho","m","B","a","b","c","SQRT()","R","X"]
["Right Lens",{"$f":"SUM(F82:F87)","v":-0.6244248234483063},{"$f":"SUM(G82:G87)","v":16.596157128479767},{"$f":"B97^2+1","v":1.3899063601384485},{"$f":"2*(B97*(C97-O$34)-N$34)","v":21.255511264367861},{"$f":"N$34^2+O$34^2-$O$33^2+C97^2-2*C97*O$34","v":-817.43556593247013},{"$f":"E97^2-4*D97*F97","v":4996.4323274813187},{"$f":"IF(OR(G97<0,AND(B97=0,C97=0)),0,(-E97+SQRT(G97))/(2*D97))","v":17.781750093336409},{"$f":"IF(OR(G97<0,AND(B97=0,C97=0)),0,B97*H97+C97)","v":5.4927909658462752}]
["Left Lens",{"$f":"SUM(F89:F94)","v":-7.1482987261091493E-2},{"$f":"SUM(G89:G94)","v":11.016166507524167},{"$f":"B98^2+1","v":1.0051098174677693},{"$f":"2*(B98*(C98-O$35)-N$35)","v":-39.695027148495981},{"$f":"N$35^2+O$35^2-$O$33^2+C98^2-2*C98*O$35","v":-514.93038330226659},{"$f":"E98^2-4*D98*F98","v":3645.9415145980315},{"$f":"IF(OR(G98<0,AND(B98=0,C98=0)),0,(-E98-SQRT(G98))/(2*D98))","v":-10.290718861651808},{"$f":"IF(OR(G98<0,AND(B98=0,C98=0)),0,B98*H98+C98)","v":11.751777832819098}]
[]
["Weak Receive End Swing Locus and intersections with the Lens Characteristics (Es > Er, circular excitation model)"]
["E(R)/E(S) =",{"$f":"1/$D$6","v":1.4285714285714286},null,"Re (kZtF)","Im (kZtF)","R1 (seg)","X1 (seg)","Δ R","Δ X","Radius"]
["Z (S) =",{"$f":"C71","v":52.238223039411537},{"$f":"D71","v":75.973408481548418},{"$f":"IF($B$101>1,$B$101/($B$101-1),1)*B$102*COS(C$102/Pirad)","v":42.203642262223632},{"$f":"IF($B$101>1,$B$101/($B$101-1),1)*B$102*SIN(C$102/Pirad)","v":168.93551295941657},{"$f":"D102+$B$104","v":41.107815849231891},{"$f":"E102+$C$104","v":158.50979864017896},{"$f":"F102-F103","v":34.755940686537109},{"$f":"G102-G103","v":139.12336361363717},{"$f":"SQRT(H102^2+I102^2)/2","v":71.699521818800136}]
[null,{"$f":"C70","v":12.661092678667096},{"$f":"D70","v":50.680653887824981},{"$f":"B101*B103/(B101+1)","v":7.4477015756865264},{"$f":"B101*C103/(B101+1)","v":29.8121493457794},{"$f":"D103+$B$104","v":6.3518751626947845},{"$f":"E103+$C$104","v":19.386435026541779}]
["- Rs - j Xs =",{"$f":"A65","v":-1.0958264129917417},{"$f":"B65","v":-10.42571431923762},null,null,null,"ES > ER Swing Locus Center and Radius",{"$f":"(F103+F102)/2","v":23.729845505963336},{"$f":"(G103+G102)/2","v":88.948116833360373},{"$f":"J102","v":71.699521818800136}]
[]
[null,null,null,{"$f":"\"Swing Locus, Er/Es = \"&B75","v":"Swing Locus, Er/Es = 0.7"},"Power Swing Vulnerability Full Lens"]
["Δ θ","θ","R-R","X-R","crossing","slope","Intercept"]
[{"$f":"(B108-B114)/6","v":-12.510393346353519},{"$f":"360-Pirad*ACOS(MIN(1,MAX(-1,(-2*ABS(G67)-$H$104)/$J$104)))","v":180},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B108/Pirad),C109)","v":-47.969676312836796},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B108/Pirad),D109)","v":88.948116833360388},{"$f":"(C108-$N$35)^2+(D108-$O$35)^2-$O$33^2","v":9727.4096438762008},{"$f":"IF(E108/E109<0,(D108-D109)/(C108-C109),0)","v":0},{"$f":"IF(F108<>0,D108-F108*C108,0)","v":0}]
[null,{"$f":"B$114+5*A$108","v":192.51039334635351},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B109/Pirad),C110)","v":-46.267295158645254},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B109/Pirad),D110)","v":73.41680240657746},7327.3640652225058,0,0]
[null,{"$f":"B$114+4*A$108","v":205.02078669270705},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B110/Pirad),C111)","v":-41.240991889160611},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B110/Pirad),D111)","v":58.62301638470629},5067.6066140587427,0,0]
["Left",{"$f":"B$114+3*A$108","v":217.53118003906056},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B111/Pirad),C112)","v":-33.129448262480153},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B111/Pirad),D112)","v":45.269264499554268},3055.4453560545153,0,0]
[null,{"$f":"B$114+2*A$108","v":230.04157338541407},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B112/Pirad),C113)","v":-22.317853430530509},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B112/Pirad),D113)","v":33.989670242334711},1386.4308700122178,0,0]
[null,{"$f":"B$114+1*A$108","v":242.55196673176761},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B113/Pirad),#REF!)","v":-9.3196126384729219},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B113/Pirad),#REF!)","v":25.319862532273717},139.81888135471547,-0.38773061001453069,21.70636343885948]
[null,{"$f":"180+Pirad*ATAN2(H104,I104)","v":255.06236007812112},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B114/Pirad),#REF!)","v":5.2480326147055756},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B114/Pirad),#REF!)","v":19.671540551783536},{"$f":"MIN((C114-$N$34)^2+(D114-$O$34)^2-$O$33^2,(C114-$N$35)^2+(D114-$O$35)^2-$O$33^2)","v":-693.95866110035422},0,0]
[null,{"$f":"B$114+1*A$120","v":262.87437396940743},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B115/Pirad),#REF!)","v":14.835857287868137},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B115/Pirad),#REF!)","v":17.802362198097839},{"$f":"(C115-$N$34)^2+(D115-$O$34)^2-$O$33^2","v":-321.85912494004788},{"$f":"IF(E114/E115<0,(D114-D115)/(C114-C115),0)","v":0},0]
[null,{"$f":"B$114+2*A$120","v":270.6863878606938},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B116/Pirad),C115)","v":24.588765738475008},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B116/Pirad),D115)","v":17.253739891519402},247.05478372950722,-5.6252174349519242E-2,18.636911428879582]
["Right",{"$f":"B$114+3*A$120","v":278.49840175198017},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B117/Pirad),C116)","v":34.325731532870762},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B117/Pirad),D116)","v":18.03585676255608},1002.2232963567068,0,0]
[null,{"$f":"B$114+4*A$120","v":286.31041564326648},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B118/Pirad),C117)","v":43.866024153455498},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B118/Pirad),D117)","v":20.134195723450659},1929.6295211249171,0,0]
[null,{"$f":"B$114+5*A$120","v":294.12242953455279},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B119/Pirad),C118)","v":53.03256358785373},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B119/Pirad),D118)","v":23.509808923865563},3012.0596143618059,0,0]
[{"$f":"(B120-B114)/6","v":7.812013891286341},{"$f":"360-Pirad*ACOS(MAX(-1,MIN(1,(2*ABS(G65)-$H$104)/$J$104)))","v":301.93444342583916},{"$f":"IF($B$101>1,$H$104+$J$104*COS(B120/Pirad),C119)","v":61.655207160044881},{"$f":"IF($B$101>1,$I$104+$J$104*SIN(B120/Pirad),D119)","v":28.10004067271484},4229.4222914570209,0,0]
[]
["Weak Receive + Mho","m","B","a","b","c","SQRT()","R","X"]
["Right Lens",{"$f":"SUM(F115:F120)","v":-5.6252174349519242E-2},{"$f":"SUM(G115:G120)","v":18.636911428879582},{"$f":"B123^2+1","v":1.0031643071190488},{"$f":"2*(B123*(C123-O$34)-N$34)","v":18.783369026639335},{"$f":"N$34^2+O$34^2-$O$33^2+C123^2-2*C123*O$34","v":-821.32564108921997},{"$f":"E123^2-4*D123*F123","v":3648.5132226404176},{"$f":"IF(OR(G123<0,AND(B123=0,C123=0)),0,(-E123+SQRT(G123))/(2*D123))","v":20.744136646265055},{"$f":"IF(OR(G123<0,AND(B123=0,C123=0)),0,B123*H123+C123)","v":17.47000863752363}]
["Left Lens",{"$f":"SUM(F108:F113)","v":-0.38773061001453069},{"$f":"SUM(G108:G113)","v":21.70636343885948},{"$f":"B124^2+1","v":1.15033502594224},{"$f":"2*(B124*(C124-O$35)-N$35)","v":-47.830790939816815},{"$f":"N$35^2+O$35^2-$O$33^2+C124^2-2*C124*O$35","v":-405.85811782544704},{"$f":"E124^2-4*D124*F124","v":4155.2757959188793},{"$f":"IF(OR(G124<0,AND(B124=0,C124=0)),0,(-E124-SQRT(G124))/(2*D124))","v":-7.2286062019718091},{"$f":"IF(OR(G124<0,AND(B124=0,C124=0)),0,B124*H124+C124)","v":24.50911533110483}]