| A | B | C | D | E | F | G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V | W | X | Y | Z | AA | AB | AC | AD | AE | AF | AG | AH | AI | AJ | AK | AL | AM | AN | AO | AP | AQ | AR | AS | AT | AU | AV | AW | AX | AY | AZ | BA | BB | BC | BD | BE | BF | BG | BH | BI | BJ | BK | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
2 | mag | angle | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
3 | ES | 120.00 | -60 | volts | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
4 | Z1S | 2.00 | 80.00 | ohms | 0.347296355333861+1.96961550602442i | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
5 | Z2S | 2.00 | 80.00 | ohms | 0.347296355333861+1.96961550602442i | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
6 | Z0S | 6.00 | 80.00 | ohms | 1.04188906600158+5.90884651807325i | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
7 | ER | 120.00 | 0.00 | volts | 120 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
8 | Z1R | 2.00 | 80.00 | ohms | 0.347296355333861+1.96961550602442i | line to fault data points | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
9 | Z2R | 2.00 | 80.00 | ohms | 0.347296355333861+1.96961550602442i | 0.0000 | 0.0000 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
10 | Z0R | 6.00 | 80.00 | ohms | 1.04188906600158+5.90884651807325i | 0.6946 | 3.9392 | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||
11 | Z1L | 8.00 | 80.00 | ohms | 1.38918542133544+7.87846202409766i | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
12 | Z2L | 8.00 | 80.00 | ohms | 1.38918542133544+7.87846202409766i | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
13 | Z0L | 24.00 | 80.00 | ohms | 4.16755626400633+23.635386072293i | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
14 | m | 0.50 | unitless | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
15 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
16 | δ | (varies from -60 to +60 degrees) | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
17 | RF | (varies from 0 to 8 ohms) | deg := | 0.0175 | a := | -0.5+0.866025403784439i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||
18 | see next sheet "graph" | ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
19 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
20 | k0 mag | k0 ang | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
21 | k0 := | 0.666666666666665-6.66133814775094E-16i | 0.6667 | 0.0000 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
22 | Z1Sequiv := | 1.04188906600158+5.90884651807325i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
23 | Z2Sequiv := | 1.04188906600158+5.90884651807325i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
24 | Z0Sequiv := | 3.12566719800475+17.7265395542197i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
25 | Z1Requiv := | 1.04188906600158+5.90884651807325i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
26 | Z2Requiv := | 1.04188906600158+5.90884651807325i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
27 | Z0Requiv := | 3.12566719800475+17.7265395542197i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
28 | Z1thev := | 0.520944533000794+2.95442325903662i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
29 | Z2thev := | 0.520944533000794+2.95442325903662i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
30 | Z0thev := | 1.56283359900239+8.86326977710986i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
31 | Z1divide := | 0.5 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
32 | Z2divide := | 0.5 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
33 | Z0divide := | 0.5 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
34 | Zthevsum := | 2.60472266500398+14.7721162951831i | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
35 | variable1 := | 60 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
36 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
37 | δ = | -60 | ES := | 60-103.923048454133i | 3I0 at fault | IA at relay | VA at relay | apparent ZAG at relay | IB at relay | IC at relay | 3IA2 at relay | 3IA0 at relay | VB at relay | VC at relay | |||||||||||||||||||||||||||||||||||||||||||||||||
38 | RF | IF (1I0 at fault) | mag | ang | i1 | IA1 | IA2 | IA0 | IA1+IA2+IA0 | IA mag | IA ang | VA1 | VA2 | VA0 | VA1+VA2+VA0 | VA mag | VA ang | ZAG = VA/(IA+k0*IR) | ZA mag | ZA ang | R | X | RF*IF/IA | mag | ang | R | X | a^2*IA1+a*IA2+IA0 | IB mag | IB ang | a*IA1+a^2*IA2+IA0 | IC mag | IC mag | 3IA2 | 3IA2 mag | 3IA2 ang | 3IA0 | 3IA0 mag | 3IA0 ang | a^2*VA1+a*VA2+VA0 | VB mag | VB ang | a*VA1+a^2*VA2+VA0 | VC mag | VC ang | ||||||||||||||||||
39 | 0 | -2.36958506180819-6.510381450795i | 20.78 | -110.00 | -8.21213367695502+6.67539215865418i | -10.5817187387632+0.16501070785918i | -1.1847925309041-3.2551907253975i | -1.1847925309041-3.2551907253975i | -12.9513038005714-6.34537074293582i | 14.42 | -153.90 | 64-83.1384387633064i | -6.00000000000002+3.46410161513777i | -18+10.3923048454133i | 40-69.2820323027553i | 80.00 | -60.00 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0 | 0.00 | #DIV/0! | 0.00 | 0.00 | 7.66044443118979+6.42787609686542i | 10.00 | 40.00 | 1.73648177666932-9.8480775301221i | 10.00 | -80.00 | -3.5543775927123-9.7655721761925i | 10.39 | -110.00 | -3.5543775927123-9.7655721761925i | 10.39 | -110.00 | -122-10.392304845413i | 122.44 | -175.13 | 28.0000000000003+110.851251684408i | 114.33 | 75.82 | ||||||||||||||||||
40 | 1 | -1.05419377917641-6.49253376097033i | 19.73 | -99.22 | -8.86982931827091+6.66646831374187i | -9.92402309744732+0.17393455277154i | -0.527096889588205-3.24626688048517i | -0.527096889588205-3.24626688048517i | -10.9782168766237-6.3185992081988i | 12.67 | -150.08 | 63.7891612441648-84.4369455155004i | -6.21083875583532+2.16559486294369i | -18.6325162675059+6.49678458883106i | 38.9458062208236-75.7745660637256i | 85.20 | -62.80 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0.983450613596073+1.2081717061705i | 1.56 | 50.85 | 0.98 | 1.21 | 7.66044443118982+6.42787609686541i | 10.00 | 40.00 | 1.7364817766693-9.84807753012212i | 10.00 | -80.00 | -1.58129066876462-9.73880064145551i | 9.87 | -99.22 | -1.58129066876462-9.73880064145551i | 9.87 | -99.22 | -122.421677511671-12.9893183498014i | 123.11 | -173.94 | 27.5783224883296+108.25423818002i | 111.71 | 75.71 | ||||||||||||||||||
41 | 2 | 0.0234155855084294-6.078920148357i | 18.24 | -89.78 | -9.40863400061333+6.4596615074352i | -9.3852184151049+0.380741359078201i | 0.0117077927542147-3.0394600741785i | 0.0117077927542147-3.0394600741785i | -9.36180282959647-5.6981787892788i | 10.96 | -148.67 | 64.0093662342034-85.5700068226492i | -5.99063376579665+1.03253355579496i | -17.9719012973899+3.09760066738487i | 40.0468311710169-81.4398725994694i | 90.75 | -63.82 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 1.71936484024678+2.84948028835659i | 3.33 | 58.89 | 1.72 | 2.85 | 7.66044443118981+6.42787609686541i | 10.00 | 40.00 | 1.73648177666931-9.84807753012211i | 10.00 | -80.00 | 0.0351233782626441-9.1183802225355i | 9.12 | -89.78 | 0.0351233782626441-9.1183802225355i | 9.12 | -89.78 | -121.981267531594-15.2554409640988i | 122.93 | -172.87 | 28.018732468407+105.988115565723i | 109.63 | 75.19 | ||||||||||||||||||
42 | 3 | 0.784514373919333-5.47625855682814i | 16.60 | -81.85 | -9.78918339481878+6.15833071167072i | -9.00466902089945+0.68207215484258i | 0.392257186959667-2.73812927841407i | 0.392257186959667-2.73812927841407i | -8.22015464698012-4.79418640198556i | 9.52 | -149.75 | 64.4707086243516-86.4241938974032i | -5.52929137564841+0.178346481040861i | -16.5878741269452+0.535039443122579i | 42.353543121758-85.7108079732398i | 95.60 | -63.70 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 1.96839542108351+4.84777649099385i | 5.23 | 67.90 | 1.97 | 4.85 | 7.66044443118978+6.42787609686545i | 10.00 | 40.00 | 1.73648177666936-9.8480775301221i | 10.00 | -80.00 | 1.176771560879-8.21438783524221i | 8.30 | -81.85 | 1.176771560879-8.21438783524221i | 8.30 | -81.85 | -121.058582751297-16.963815113607i | 122.24 | -172.02 | 28.9414172487035+104.279741416214i | 108.22 | 74.49 | ||||||||||||||||||
43 | 4 | 1.26726871543451-4.83965130252564i | 15.01 | -75.33 | -10.0305605655764+5.84002708451947i | -8.76329185014189+1.00037578199383i | 0.633634357717255-2.41982565126282i | 0.633634357717255-2.41982565126282i | -7.49602313470738-3.83927552053181i | 8.42 | -152.88 | 65.0138149723476-87.0101598053268i | -4.98618502765241-0.407619426882766i | -14.9585550829572-1.2228582806483i | 45.069074861738-88.6406375128579i | 99.44 | -63.05 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 1.53637017363917+6.96065984516422i | 7.13 | 77.55 | 1.54 | 6.96 | 7.66044443118979+6.42787609686547i | 10.00 | 40.00 | 1.73648177666937-9.84807753012212i | 10.00 | -80.00 | 1.90090307315177-7.25947695378846i | 7.50 | -75.33 | 1.90090307315177-7.25947695378846i | 7.50 | -75.33 | -119.972370055305-18.1357469294542i | 121.34 | -171.40 | 30.0276299446954+103.107809600367i | 107.39 | 73.76 | ||||||||||||||||||
44 | 5 | 1.54663680618865-4.24934970110072i | 13.57 | -70.00 | -10.1702446109534+5.54487628380703i | -8.62360780476475+1.29552658270631i | 0.773318403094325-2.12467485055036i | 0.773318403094325-2.12467485055036i | -7.0769709985761-2.95382311839441i | 7.67 | -157.35 | 65.5466368061886-87.3877884644072i | -4.45336319381137-0.78524808596297i | -13.3600895814341-2.35574425788891i | 47.7331840309431-90.5287808082591i | 102.34 | -62.20 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0.409716567438302+8.83570319282127i | 8.85 | 87.35 | 0.41 | 8.84 | 7.66044443118978+6.4278760968654i | 10.00 | 40.00 | 1.73648177666931-9.84807753012207i | 10.00 | -80.00 | 2.31995520928298-6.37402455165108i | 6.78 | -70.00 | 2.31995520928298-6.37402455165108i | 6.78 | -70.00 | -118.906726387623-18.8910042476145i | 120.40 | -170.97 | 31.0932736123777+102.352552282207i | 106.97 | 73.10 | ||||||||||||||||||
45 | 6 | 1.69087439385842-3.73406226643213i | 12.30 | -65.64 | -10.2423634047883+5.28723256647272i | -8.55148901092988+1.55317030004059i | 0.84543719692921-1.86703113321607i | 0.84543719692921-1.86703113321607i | -6.86061461707146-2.18089196639155i | 7.20 | -162.37 | 66.0290492726301-87.619313483025i | -3.97095072736991-1.0167731045808i | -11.9128521821097-3.05031931374241i | 50.1452463631505-91.6864059013482i | 104.50 | -61.32 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | -1.20065864955716+10.1786256037778i | 10.25 | 96.73 | -1.20 | 10.18 | 7.66044443118977+6.42787609686542i | 10.00 | 40.00 | 1.73648177666933-9.84807753012208i | 10.00 | -80.00 | 2.53631159078763-5.60109339964821i | 6.15 | -65.64 | 2.53631159078763-5.60109339964821i | 6.15 | -65.64 | -117.94190145474-19.3540542848502i | 119.52 | -170.68 | 32.0580985452605+101.889502244972i | 106.81 | 72.53 | ||||||||||||||||||
46 | 7 | 1.74986619163637-3.29640607158199i | 11.20 | -62.04 | -10.2718593036773+5.06840446904772i | -8.52199311204093+1.77199839746573i | 0.874933095818185-1.648203035791i | 0.874933095818185-1.648203035791i | -6.77212692040456-1.52440767411627i | 6.94 | -167.31 | 66.449812668291-87.7534072635212i | -3.5501873317091-1.15086688507703i | -10.6505619951273-3.45260065523108i | 52.2490633414546-92.3568748038293i | 106.11 | -60.50 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | -2.97454979310571+10.8915492727456i | 11.29 | 105.28 | -2.97 | 10.89 | 7.66044443118984+6.4278760968654i | 10.00 | 40.00 | 1.73648177666928-9.84807753012213i | 10.00 | -80.00 | 2.62479928745456-4.944609107373i | 5.60 | -62.04 | 2.62479928745456-4.944609107373i | 5.60 | -62.04 | -117.100374663419-19.6222418458427i | 118.73 | -170.49 | 32.8996253365821+101.621314683979i | 106.81 | 72.06 | ||||||||||||||||||
47 | 8 | 1.75679964985347-2.92854670740569i | 10.25 | -59.04 | -10.2753260327858+4.88447478695955i | -8.51852638293233+1.95592807955386i | 0.878399824926735-1.46427335370285i | 0.878399824926735-1.46427335370285i | -6.76172673307886-0.97261862785184i | 6.83 | -171.81 | 66.8108794397656-87.8241134951556i | -3.18912056023447-1.22157311671134i | -9.56736168070339-3.66471935013403i | 54.0543971988277-92.710405962001i | 107.32 | -59.76 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | -4.64430243706522+11.0625967292446i | 12.00 | 112.77 | -4.64 | 11.06 | 7.6604444311898+6.42787609686537i | 10.00 | 40.00 | 1.73648177666928-9.84807753012208i | 10.00 | -80.00 | 2.63519947478021-4.39282006110855i | 5.12 | -59.04 | 2.63519947478021-4.39282006110855i | 5.12 | -59.04 | -116.378241120469-19.7636543091113i | 118.04 | -170.36 | 33.6217588795314+101.47990222071i | 106.90 | 71.67 | ||||||||||||||||||
48 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
49 | δ = | -30 | ES := | 103.923048454133-60i | 3I0 at fault | IA at relay | VA at relay | apparent ZAG at relay | IB at relay | IC at relay | 3IA2 at relay | 3IA0 at relay | VB at relay | VC at relay | |||||||||||||||||||||||||||||||||||||||||||||||||
50 | RF | IF (1I0 at fault) | mag | ang | i1 | IA1 | IA2 | IA0 | IA1+IA2+IA0 | IA mag | IA ang | VA1 | VA2 | VA0 | VA1+VA2+VA0 | VA mag | VA ang | ZAG = VA/(IA+k0*IR) | ZA mag | ZA ang | R | X | RF*IF/IA | mag | ang | R | X | a^2*IA1+a*IA2+IA0 | IB mag | IB ang | a*IA1+a^2*IA2+IA0 | IC mag | IC mag | 3IA2 | 3IA2 mag | 3IA2 ang | 3IA0 | 3IA0 mag | 3IA0 ang | a^2*VA1+a*VA2+VA0 | VB mag | VB ang | a*VA1+a^2*VA2+VA0 | VC mag | VC ang | ||||||||||||||||||
51 | 0 | -0.673487862634943-7.69800149519245i | 23.18 | -95.00 | -4.81993927860852+4.30015206985924i | -5.49342714124346-3.39784942533321i | -0.336743931317472-3.84900074759623i | -0.336743931317472-3.84900074759623i | -6.16691500387841-11.0958509205257i | 12.69 | -119.06 | 99.1384387633065-48i | -7.46410161513777+1.99999999999999i | -22.3923048454133+5.99999999999996i | 69.2820323027554-40.0000000000001i | 80.00 | -30.00 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0 | 0.00 | #DIV/0! | 0.00 | 0.00 | 2.96905011099371+4.24024299793308i | 5.18 | 55.00 | 2.18763309893228-4.6913943201961i | 5.18 | -65.00 | -1.01023179395242-11.5470022427887i | 11.59 | -95.00 | -1.01023179395242-11.5470022427887i | 11.59 | -95.00 | -111.53074360872-63.3205080756892i | 128.25 | -150.41 | -24.9282032302757+121.320508075689i | 123.86 | 101.61 | ||||||||||||||||||
52 | 1 | 0.738497105535742-7.29905252619686i | 22.01 | -84.22 | -5.52593176269386+4.10067758536143i | -4.78743465715812-3.19837494083543i | 0.369248552767871-3.64952626309843i | 0.369248552767871-3.64952626309843i | -4.04893755162238-10.4974274670323i | 11.25 | -111.09 | 99.2861381844136-49.4598105052394i | -7.31640219403061+0.540189494760615i | -21.9492065820918+1.62056848428184i | 70.0205294082912-47.2990525261969i | 84.50 | -34.04 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 1.74495338535301+0.884092663039602i | 1.96 | 26.87 | 1.74 | 0.88 | 2.9690501109937+4.2402429979331i | 5.18 | 55.00 | 2.18763309893229-4.69139432019609i | 5.18 | -65.00 | 1.10774565830361-10.9485787892953i | 11.00 | -84.22 | 1.10774565830361-10.9485787892953i | 11.00 | -84.22 | -111.235344766505-66.2401290861679i | 129.46 | -149.23 | -24.6328043880613+118.40088706521i | 120.94 | 101.75 | ||||||||||||||||||
53 | 2 | 1.78005987936881-6.54236676091637i | 20.34 | -74.78 | -6.04671314961038+3.72233470272113i | -4.26665327024157-2.82003205819524i | 0.890029939684405-3.27118338045819i | 0.890029939684405-3.27118338045819i | -2.48659339087276-9.36239881911162i | 9.69 | -104.87 | 99.8504627150539-50.6169467043666i | -6.75207766339024-0.616946704366555i | -20.2562329901707-1.85084011309967i | 72.842152061493-53.0847335218328i | 90.13 | -36.08 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 3.63346417913758+2.10579656677134i | 4.20 | 30.09 | 3.63 | 2.11 | 2.96905011099365+4.24024299793311i | 5.18 | 55.00 | 2.18763309893234-4.69139432019605i | 5.18 | -65.00 | 2.67008981905322-9.81355014137457i | 10.17 | -74.78 | 2.67008981905322-9.81355014137457i | 10.17 | -74.78 | -110.106695705225-68.5544014844221i | 129.70 | -148.09 | -23.5041553267805+116.086614666956i | 118.44 | 101.45 | ||||||||||||||||||
54 | 3 | 2.42605644789348-5.67337883786804i | 18.51 | -66.85 | -6.36971143387273+3.287840741197i | -3.94365498597925-2.38553809667104i | 1.21302822394674-2.83668941893402i | 1.21302822394674-2.83668941893402i | -1.51759853808577-8.05891693453908i | 8.20 | -100.66 | 100.594072632043-51.4040273027208i | -6.00846774640166-1.40402730272085i | -18.0254032392049-4.21208190816254i | 76.5602016464364-57.0201365136042i | 95.46 | -36.68 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 5.6261682597172+3.7688405282899i | 6.77 | 33.82 | 5.63 | 3.77 | 2.96905011099368+4.24024299793311i | 5.18 | 55.00 | 2.18763309893231-4.69139432019608i | 5.18 | -65.00 | 3.63908467184022-8.51006825680206i | 9.26 | -66.85 | 3.63908467184022-8.51006825680206i | 9.26 | -66.85 | -108.619475871248-70.1285626811312i | 129.29 | -147.15 | -22.0169354928037+114.512453470248i | 116.61 | 100.88 | ||||||||||||||||||
55 | 4 | 2.7623792828575-4.84817066656405i | 16.74 | -60.33 | -6.53787285135473+2.87523665554496i | -3.77549356849723-1.97293401101909i | 1.38118964142875-2.42408533328203i | 1.38118964142875-2.42408533328203i | -1.01311428563973-6.82110467758315i | 6.90 | -98.45 | 101.348342189592-51.8785365332512i | -5.25419818885175-1.87853653325126i | -15.7625945665552-5.63560959975377i | 80.3315494341851-59.3926826662562i | 99.90 | -36.48 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 7.63881651677185+5.99427035142635i | 9.71 | 38.12 | 7.64 | 5.99 | 2.96905011099364+4.24024299793311i | 5.18 | 55.00 | 2.18763309893235-4.69139432019605i | 5.18 | -65.00 | 4.14356892428625-7.27225599984609i | 8.37 | -60.33 | 4.14356892428625-7.27225599984609i | 8.37 | -60.33 | -107.110936756147-71.0775811421913i | 128.55 | -146.43 | -20.5083963777034+113.563435009187i | 115.40 | 100.24 | ||||||||||||||||||
56 | 5 | 2.89295117639159-4.1315624561659i | 15.13 | -55.00 | -6.60315879812178+2.51693255034593i | -3.71020762173019-1.61462990581997i | 1.4464755881958-2.06578122808295i | 1.4464755881958-2.06578122808295i | -0.81725644533859-5.74619236198587i | 5.80 | -98.09 | 102.031389939698-52.1315624561659i | -4.57115043874615-2.13156245616593i | -13.7134513162384-6.39468736849777i | 83.7467881847135-60.6578122808296i | 103.41 | -35.92 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 9.51852409140101+8.90560906874976i | 13.04 | 43.09 | 9.52 | 8.91 | 2.96905011099368+4.24024299793311i | 5.18 | 55.00 | 2.18763309893232-4.69139432019609i | 5.18 | -65.00 | 4.3394267645874-6.19734368424885i | 7.57 | -55.00 | 4.3394267645874-6.19734368424885i | 7.57 | -55.00 | -105.744841255936-71.5836329880209i | 127.70 | -145.90 | -19.1423008774924+113.057383163357i | 114.67 | 99.61 | ||||||||||||||||||
57 | 6 | 2.89959491073692-3.53477959468146i | 13.72 | -50.64 | -6.60648066529446+2.21854111960374i | -3.70688575455754-1.31623847507772i | 1.44979745536846-1.76738979734073i | 1.44979745536846-1.76738979734073i | -0.80729084382062-4.85101806975918i | 4.92 | -99.45 | 102.617952656191-52.2417355136177i | -3.98458772225343-2.24173551361778i | -11.9537631667603-6.72520654085333i | 86.6796017671773-61.2086775680888i | 106.11 | -35.23 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 11.0203148285248+12.5930901043595i | 16.73 | 48.81 | 11.02 | 12.59 | 2.96905011099371+4.2402429979331i | 5.18 | 55.00 | 2.1876330989323-4.69139432019611i | 5.18 | -65.00 | 4.34939236610538-5.30216939202219i | 6.86 | -50.64 | 4.34939236610538-5.30216939202219i | 6.86 | -50.64 | -104.571715822951-71.8039791029249i | 126.85 | -145.52 | -17.9691754445072+112.837037048454i | 114.26 | 99.05 | ||||||||||||||||||
58 | 7 | 2.83680927899835-3.04624111018362i | 12.49 | -47.04 | -6.57508784942516+1.97427187735475i | -3.73827857042681-1.07196923282887i | 1.41840463949918-1.52312055509181i | 1.41840463949918-1.52312055509181i | -0.90146929142845-4.11821034301249i | 4.22 | -102.35 | 103.109971753904-52.2647375542571i | -3.49256862454006-2.26473755425709i | -10.4777058736201-6.79421266277126i | 89.1396972557439-61.3236877712855i | 108.20 | -34.53 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 11.8016818326052+17.0491166720998i | 20.74 | 55.31 | 11.80 | 17.05 | 2.96905011099364+4.24024299793312i | 5.18 | 55.00 | 2.18763309893235-4.69139432019606i | 5.18 | -65.00 | 4.25521391849754-4.56936166527543i | 6.24 | -47.04 | 4.25521391849754-4.56936166527543i | 6.24 | -47.04 | -103.587677627524-71.8499831842031i | 126.07 | -145.25 | -16.9851372490801+112.791032967174i | 114.06 | 98.56 | ||||||||||||||||||
59 | 8 | 2.7380871906094-2.64792620818033i | 11.43 | -44.04 | -6.52572680523068+1.77511442635312i | -3.78763961462128-0.87281178182721i | 1.3690435953047-1.32396310409017i | 1.3690435953047-1.32396310409017i | -1.04955242401188-3.52073799000755i | 3.67 | -106.60 | 103.519378268281-52.2366819330885i | -3.08316211016271-2.23668193308854i | -9.24948633048811-6.7100457992656i | 91.1867298276302-61.1834096654426i | 109.81 | -33.86 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 11.4671058909835+22.0832738987037i | 24.88 | 62.56 | 11.47 | 22.08 | 2.96905011099366+4.24024299793311i | 5.18 | 55.00 | 2.18763309893233-4.69139432019607i | 5.18 | -65.00 | 4.1071307859141-3.97188931227051i | 5.71 | -44.04 | 4.1071307859141-3.97188931227051i | 5.71 | -44.04 | -102.768864598769-71.7938719418658i | 125.36 | -145.06 | -16.1663242203253+112.847144209511i | 114.00 | 98.15 | ||||||||||||||||||
60 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
61 | δ = | 0 | ES := | 120 | 3I0 at fault | IA at relay | VA at relay | apparent ZAG at relay | IB at relay | IC at relay | 3IA2 at relay | 3IA0 at relay | VB at relay | VC at relay | |||||||||||||||||||||||||||||||||||||||||||||||||
62 | RF | IF (1I0 at fault) | mag | ang | i1 | IA1 | IA2 | IA0 | IA1+IA2+IA0 | IA mag | IA ang | VA1 | VA2 | VA0 | VA1+VA2+VA0 | VA mag | VA ang | ZAG = VA/(IA+k0*IR) | ZA mag | ZA ang | R | X | RF*IF/IA | mag | ang | R | X | a^2*IA1+a*IA2+IA0 | IB mag | IB ang | a*IA1+a^2*IA2+IA0 | IC mag | IC mag | 3IA2 | 3IA2 mag | 3IA2 ang | 3IA0 | 3IA0 mag | 3IA0 ang | a^2*VA1+a*VA2+VA0 | VB mag | VB ang | a*VA1+a^2*VA2+VA0 | VC mag | VC ang | ||||||||||||||||||
63 | 0 | 1.38918542133546-7.87846202409767i | 24.00 | -80.00 | -0.694592710667729+3.93923101204883i | 0.694592710667731-3.93923101204884i | 0.69459271066773-3.93923101204884i | 0.69459271066773-3.93923101204884i | 2.08377813200319-11.8176930361465i | 12.00 | -80.00 | 112-1.77635683940025E-14i | -8.00000000000003-1.57651669496772E-14i | -24.0000000000001-5.15143483426073E-14i | 79.9999999999999-8.5043083686287E-14i | 80.00 | 0.00 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0 | 0.00 | #DIV/0! | 0.00 | 0.00 | -1.11022302462516E-16-4.44089209850063E-16i | 0.00 | -104.04 | -1.11022302462516E-16-4.44089209850063E-16i | 0.00 | -104.04 | 2.08377813200319-11.8176930361465i | 12.00 | -80.00 | 2.08377813200319-11.8176930361465i | 12.00 | -80.00 | -76.0000000000002-103.923048454133i | 128.75 | -126.18 | -76.0000000000001+103.923048454133i | 128.75 | 126.18 | ||||||||||||||||||
64 | 1 | 2.69427233544255-7.10117282315585i | 22.79 | -69.22 | -1.34713616772128+3.55058641157793i | 1.34713616772127-3.55058641157792i | 1.34713616772128-3.55058641157793i | 1.34713616772128-3.55058641157793i | 4.04140850316383-10.6517592347338i | 11.39 | -69.22 | 112.538854467089-1.42023456463118i | -7.46114553291152-1.4202345646312i | -22.3834365987345-4.2607036938936i | 82.694272335443-7.10117282315598i | 83.00 | -4.91 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 2+7.39048336573299E-16i | 2.00 | 0.00 | 2.00 | 0.00 | 9.99200722162641E-15+7.99360577730113E-15i | 0.00 | 38.66 | -2.22044604925031E-16-5.77315972805081E-15i | 0.00 | -92.20 | 4.04140850316384-10.6517592347338i | 11.39 | -69.22 | 4.04140850316384-10.6517592347338i | 11.39 | -69.22 | -74.9222910658233-106.763517583396i | 130.43 | -125.06 | -74.9222910658233+101.082579324871i | 125.82 | 126.55 | ||||||||||||||||||
65 | 2 | 3.53308176954459-6.06540115376046i | 21.06 | -59.78 | -1.76654088477229+3.03270057688023i | 1.7665408847723-3.03270057688023i | 1.7665408847723-3.03270057688023i | 1.7665408847723-3.03270057688023i | 5.2996226543169-9.09810173064069i | 10.53 | -59.78 | 113.413232707818-2.42616046150422i | -6.58676729218218-2.42616046150422i | -19.7603018765465-7.27848138451265i | 87.0661635390893-12.1308023075211i | 87.91 | -7.93 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 4-4.61468567228544E-15i | 4.00 | 0.00 | 4.00 | 0.00 | 5.77315972805081E-15i | 0.00 | 90.00 | 5.77315972805081E-15i | 0.00 | 90.00 | 5.2996226543169-9.09810173064069i | 10.53 | -59.78 | 5.2996226543169-9.09810173064069i | 10.53 | -59.78 | -73.1735345843645-108.775369377141i | 131.10 | -123.93 | -73.1735345843644+99.0707275311245i | 123.16 | 126.45 | ||||||||||||||||||
66 | 3 | 3.94623372585606-5.02331897186268i | 19.16 | -51.85 | -1.97311686292803+2.51165948593132i | 1.97311686292803-2.51165948593136i | 1.97311686292803-2.51165948593134i | 1.97311686292803-2.51165948593134i | 5.91935058878409-7.53497845779404i | 9.58 | -51.85 | 114.367740235514-3.01399138311763i | -5.63225976448638-3.01399138311764i | -16.8967792934591-9.04197414935289i | 91.8387011775685-15.0699569155882i | 93.07 | -9.32 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 5.99999999999999+8.0097461338207E-15i | 6.00 | 0.00 | 6.00 | 0.00 | -1.99840144432528E-14+9.32587340685131E-15i | 0.00 | 154.98 | 1.99840144432528E-14+8.88178419700125E-15i | 0.00 | 23.96 | 5.91935058878409-7.53497845779402i | 9.58 | -51.85 | 5.91935058878409-7.53497845779402i | 9.58 | -51.85 | -71.264519528973-109.951031220368i | 131.03 | -122.95 | -71.2645195289729+97.8950656878981i | 121.09 | 126.05 | ||||||||||||||||||
67 | 4 | 4.06144269773161-4.10799336853393i | 17.33 | -45.33 | -2.0307213488658+2.05399668426695i | 2.03072134886581-2.05399668426698i | 2.03072134886581-2.05399668426697i | 2.03072134886581-2.05399668426697i | 6.09216404659743-6.16199005280092i | 8.67 | -45.33 | 115.249154158185-3.28639469482717i | -4.75084584181473-3.28639469482717i | -14.2525375254442-9.8591840844815i | 96.2457707909261-16.4319734741358i | 97.64 | -9.69 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 7.99999999999997+6.24573220607098E-15i | 8.00 | 0.00 | 8.00 | 0.00 | -1.33226762955019E-14+7.99360577730113E-15i | 0.00 | 149.04 | 4.44089209850063E-15+3.10862446895044E-15i | 0.00 | 34.99 | 6.09216404659743-6.16199005280091i | 8.67 | -45.33 | 6.09216404659743-6.16199005280091i | 8.67 | -45.33 | -69.5016916836294-110.495837843787i | 130.54 | -122.17 | -69.5016916836294+97.3502590644783i | 119.61 | 125.52 | ||||||||||||||||||
68 | 5 | 4-3.35639852470911i | 15.66 | -40.00 | -2+1.67819926235456i | 2-1.67819926235455i | 2-1.67819926235456i | 2-1.67819926235456i | 6-5.03459778706367i | 7.83 | -40.00 | 116-3.35639852470913i | -4.00000000000001-3.35639852470913i | -12-10.0691955741274i | 100-16.7819926235457i | 101.40 | -9.53 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 9.99999999999999+5.21204491862074E-15i | 10.00 | 0.00 | 10.00 | 0.00 | 5.99520433297585E-15-1.99840144432528E-15i | 0.00 | -18.43 | -1.28785870856518E-14-7.105427357601E-15i | 0.00 | -151.11 | 6-5.03459778706368i | 7.83 | -40.00 | 6-5.03459778706368i | 7.83 | -40.00 | -68.0000000000001-110.635845503551i | 129.86 | -121.58 | -68+97.2102514047149i | 118.63 | 124.97 | ||||||||||||||||||
69 | 6 | 3.84673624855384-2.75783547997212i | 14.20 | -35.64 | -1.92336812427691+1.37891773998603i | 1.92336812427693-1.37891773998609i | 1.92336812427692-1.37891773998606i | 1.92336812427692-1.37891773998606i | 5.77010437283077-4.13675321995821i | 7.10 | -35.64 | 116.616083498265-3.30940257596657i | -3.38391650173539-3.30940257596656i | -10.1517495052062-9.92820772789967i | 103.080417491323-16.5470128798328i | 104.40 | -9.12 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 12+3.29850130704372E-14i | 12.00 | 0.00 | 12.00 | 0.00 | -3.61932706027801E-14+7.99360577730113E-15i | 0.00 | 167.55 | 1.50990331349021E-14+2.19824158875781E-14i | 0.00 | 55.52 | 5.77010437283076-4.13675321995818i | 7.10 | -35.64 | 5.77010437283076-4.13675321995818i | 7.10 | -35.64 | -66.7678330034711-110.541853606066i | 129.14 | -121.13 | -66.767833003471+97.3042433021998i | 118.01 | 124.46 | ||||||||||||||||||
70 | 7 | 3.65304712442255-2.2861203547949i | 12.93 | -32.04 | -1.82652356221128+1.14306017739748i | 1.82652356221127-1.14306017739742i | 1.82652356221128-1.14306017739745i | 1.82652356221128-1.14306017739745i | 5.47957068663383-3.42918053219232i | 6.46 | -32.04 | 117.114265974192-3.20056849671288i | -2.88573402580844-3.20056849671289i | -8.6572020774253-9.60170549013864i | 105.571329870958-16.0028424835644i | 106.78 | -8.62 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 14-6.07069317479961E-14i | 14.00 | 0.00 | 14.00 | 0.00 | 2.93098878501041E-14-9.99200722162641E-15i | 0.00 | -18.82 | -2.17603712826531E-14-1.99840144432528E-14i | 0.00 | -137.44 | 5.47957068663384-3.42918053219235i | 6.46 | -32.04 | 5.47957068663384-3.42918053219235i | 6.46 | -32.04 | -65.7714680516171-110.324185447559i | 128.44 | -120.80 | -65.7714680516171+97.5219114607071i | 117.63 | 124.00 | ||||||||||||||||||
71 | 8 | 3.44759687970853-1.91425795665054i | 11.83 | -29.04 | -1.72379843985426+0.957128978325267i | 1.72379843985427-0.957128978325273i | 1.72379843985427-0.95712897832527i | 1.72379843985427-0.95712897832527i | 5.17139531956281-2.87138693497581i | 5.92 | -29.04 | 117.516155007534-3.06281273064088i | -2.48384499246635-3.06281273064089i | -7.45153497739903-9.18843819192264i | 107.580775037669-15.3140636532044i | 108.67 | -8.10 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 16-2.07142335477194E-14i | 16.00 | 0.00 | 16.00 | 0.00 | -5.32907051820075E-15+1.01030295240889E-14i | 0.00 | 117.81 | -2.88657986402541E-15+1.01030295240889E-14i | 0.00 | 105.95 | 5.17139531956281-2.87138693497581i | 5.92 | -29.04 | 5.17139531956281-2.87138693497581i | 5.92 | -29.04 | -64.967689984933-110.048673915415i | 127.79 | -120.56 | -64.9676899849329+97.7974229928514i | 117.41 | 123.60 | ||||||||||||||||||
72 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
73 | δ = | 30 | ES := | 103.923048454133+60i | 3I0 at fault | IA at relay | VA at relay | apparent ZAG at relay | IB at relay | IC at relay | 3IA2 at relay | 3IA0 at relay | VB at relay | VC at relay | |||||||||||||||||||||||||||||||||||||||||||||||||
74 | RF | IF (1I0 at fault) | mag | ang | i1 | IA1 | IA2 | IA0 | IA1+IA2+IA0 | IA mag | IA ang | VA1 | VA2 | VA0 | VA1+VA2+VA0 | VA mag | VA ang | ZAG = VA/(IA+k0*IR) | ZA mag | ZA ang | R | X | RF*IF/IA | mag | ang | R | X | a^2*IA1+a*IA2+IA0 | IB mag | IB ang | a*IA1+a^2*IA2+IA0 | IC mag | IC mag | 3IA2 | 3IA2 mag | 3IA2 ang | 3IA0 | 3IA0 mag | 3IA0 ang | a^2*VA1+a*VA2+VA0 | VB mag | VB ang | a*VA1+a^2*VA2+VA0 | VC mag | VC ang | ||||||||||||||||||
75 | 0 | 3.26574314941389-7.00340878452473i | 23.18 | -65.00 | 3.05852274548914+5.68933749119468i | 6.32426589490303-1.31407129333005i | 1.63287157470695-3.50170439226237i | 1.63287157470695-3.50170439226237i | 9.59000904431693-8.31748007785479i | 12.69 | -40.94 | 99.1384387633065+48i | -7.46410161513777-2.00000000000003i | -22.3923048454133-6.00000000000008i | 69.2820323027554+39.9999999999999i | 80.00 | 30.00 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0 | 0.00 | #DIV/0! | 0.00 | 0.00 | -0.45115132226298-5.156683209926i | 5.18 | -95.00 | -4.24024299793311+2.96905011099368i | 5.18 | 145.00 | 4.89861472412085-10.5051131767871i | 11.59 | -65.00 | 4.89861472412085-10.5051131767871i | 11.59 | -65.00 | -24.9282032302758-121.320508075689i | 123.86 | -101.61 | -111.53074360872+63.3205080756891i | 128.25 | 150.41 | ||||||||||||||||||
76 | 1 | 4.28908351711367-5.95191635847558i | 22.01 | -54.22 | 2.54685256163926+5.16359127817006i | 6.83593607875293-0.78832508030552i | 2.14454175855684-2.97595817923779i | 2.14454175855684-2.97595817923779i | 11.1250195958666-6.7402414387811i | 13.01 | -31.21 | 99.9962554667292+46.8096167283048i | -6.60628491171501-3.19038327169515i | -19.818854735145-9.57114981508545i | 73.5711158198692+34.0480836415242i | 81.07 | 24.83 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 1.55735979782553-0.661461129809193i | 1.69 | -23.01 | 1.56 | -0.66 | -0.45115132226303-5.15668320992598i | 5.18 | -95.00 | -4.24024299793307+2.96905011099371i | 5.18 | 145.00 | 6.43362527567052-8.92787453771337i | 11.00 | -54.22 | 6.43362527567052-8.92787453771337i | 11.00 | -54.22 | -23.2125698234302-123.70127461908i | 125.86 | -100.63 | -109.815110201874+60.9397415322989i | 125.59 | 150.97 | ||||||||||||||||||
77 | 2 | 4.81276045624905-4.77582587614407i | 20.34 | -44.78 | 2.28501409207157+4.57554603700433i | 7.09777454832062-0.20027983913974i | 2.40638022812453-2.38791293807204i | 2.40638022812453-2.38791293807204i | 11.9105350045697-4.97610571528382i | 12.91 | -22.67 | 101.063542945806+46.0896696495423i | -5.53899743263814-3.91033035045766i | -16.6169922979144-11.730991051373i | 78.9075532152535+30.4483482477116i | 84.58 | 21.10 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 2.91992665540322-1.18593258264919i | 3.15 | -22.10 | 2.92 | -1.19 | -0.451151322263-5.15668320992599i | 5.18 | -95.00 | -4.24024299793309+2.9690501109937i | 5.18 | 145.00 | 7.21914068437359-7.16373881421612i | 10.17 | -44.78 | 7.21914068437359-7.16373881421612i | 10.17 | -44.78 | -21.0779948652765-125.141168776605i | 126.90 | -99.56 | -107.68053524372+59.4998473747738i | 123.03 | 151.08 | ||||||||||||||||||
78 | 3 | 4.93771593382482-3.70026197494001i | 18.51 | -36.85 | 2.22253635328368+4.03776408640227i | 7.1602522871085+0.337502111462261i | 2.46885796691241-1.85013098747001i | 2.46885796691241-1.85013098747001i | 12.0979682209333-3.36275986347776i | 12.56 | -15.53 | 102.101068323601+45.779842815036i | -4.50147205484285-4.22015718496404i | -13.5044161645285-12.6604715548921i | 84.0951801042297+28.8992140751799i | 88.92 | 18.97 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 4.12011778836484-1.60749232332219i | 4.42 | -21.31 | 4.12 | -1.61 | -0.451151322263027-5.15668320992598i | 5.18 | -95.00 | -4.24024299793308+2.96905011099371i | 5.18 | 145.00 | 7.40657390073723-5.55039296241003i | 9.26 | -36.85 | 7.40657390073723-5.55039296241003i | 9.26 | -36.85 | -19.0029441096857-125.760822445617i | 127.19 | -98.59 | -105.60548448813+58.8801937057608i | 120.91 | 150.86 | ||||||||||||||||||
79 | 4 | 4.81637596712447-2.81744931769824i | 16.74 | -30.33 | 2.28320633663386+3.5963577577814i | 7.09958230375833+0.77890844008316i | 2.40818798356224-1.40872465884912i | 2.40818798356224-1.40872465884912i | 11.9159582708828-2.03854087761508i | 12.09 | -9.71 | 102.991539537006+45.7460405458414i | -3.61100084143815-4.25395945415863i | -10.8330025243144-12.7618783624759i | 88.5475361712535+28.7302027292069i | 93.09 | 17.98 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 5.18402247699908-1.95045581347265i | 5.54 | -20.62 | 5.18 | -1.95 | -0.451151322263015-5.15668320992599i | 5.18 | -95.00 | -4.24024299793308+2.96905011099371i | 5.18 | 145.00 | 7.22456395068672-4.22617397654736i | 8.37 | -30.33 | 7.22456395068672-4.22617397654736i | 8.37 | -30.33 | -17.2220016828765-125.828426984006i | 127.00 | -97.79 | -103.82454206132+58.8125891673719i | 119.33 | 150.47 | ||||||||||||||||||
80 | 5 | 4.57115043874615-2.1315624561659i | 15.13 | -25.00 | 2.40581910082302+3.25341432701518i | 6.97696953956917+1.12185187084928i | 2.28557521937308-1.06578122808295i | 2.28557521937308-1.06578122808295i | 11.5481199783153-1.00971058531662i | 11.59 | -5.00 | 103.709589202053+45.8684375438341i | -2.89295117639159-4.13156245616593i | -8.67885352917475-12.3946873684978i | 92.1377844964867+29.3421877191704i | 96.70 | 17.66 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 6.13272412032333-2.23249848718082i | 6.53 | -20.00 | 6.13 | -2.23 | -0.451151322263058-5.15668320992596i | 5.18 | -95.00 | -4.24024299793303+2.96905011099373i | 5.18 | 145.00 | 6.85672565811924-3.19734368424885i | 7.57 | -25.00 | 6.85672565811924-3.19734368424885i | 7.57 | -25.00 | -15.7859023527835-125.583632988021i | 126.57 | -97.16 | -102.388442731227+59.0573831633576i | 118.20 | 150.02 | ||||||||||||||||||
81 | 6 | 4.27851265072298-1.61141147040454i | 13.72 | -20.64 | 2.5521379948346+2.99333883413455i | 6.83065064555758+1.38192736373001i | 2.13925632536149-0.80570573520227i | 2.13925632536149-0.80570573520227i | 11.1091632962806-0.22948410667453i | 11.11 | -1.18 | 104.272653944174+46.0663062355145i | -2.32988643427015-3.93369376448547i | -6.98965930281044-11.8010812934564i | 94.9531082070934+30.3315311775726i | 99.68 | 17.72 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 6.98336060617899-2.46668767630423i | 7.41 | -19.45 | 6.98 | -2.47 | -0.451151322263021-5.15668320992599i | 5.18 | -95.00 | -4.24024299793308+2.96905011099371i | 5.18 | 145.00 | 6.41776897608447-2.41711720560681i | 6.86 | -20.64 | 6.41776897608447-2.41711720560681i | 6.86 | -20.64 | -14.6597728685405-125.18789560466i | 126.04 | -96.68 | -101.262313246984+59.4531205467181i | 117.43 | 149.58 | ||||||||||||||||||
82 | 7 | 3.9798694563958-1.21971754797234i | 12.49 | -17.04 | 2.70145959199819+2.79749187291847i | 6.68132904839399+1.57777432494613i | 1.9899347281979-0.60985877398617i | 1.9899347281979-0.60985877398617i | 10.6611985047898+0.35805677697379i | 10.67 | 1.92 | 104.710256002261+46.2923954328387i | -1.89228437618361-3.7076045671613i | -5.67685312855082-11.1228137014839i | 97.1411184975266+31.4619771641935i | 102.11 | 17.95 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 7.74995542007994-2.66283312838318i | 8.19 | -18.96 | 7.75 | -2.66 | -0.451151322263004-5.15668320992599i | 5.18 | -95.00 | -4.2402429979331+2.96905011099369i | 5.18 | 145.00 | 5.9698041845937-1.82957632195851i | 6.24 | -17.04 | 5.9698041845937-1.82957632195851i | 6.24 | -17.04 | -13.7845687523676-124.735717210012i | 125.50 | -96.31 | -100.387109130812+59.9052989413669i | 116.90 | 149.17 | ||||||||||||||||||
83 | 8 | 3.69521616893467-0.924127768326059i | 11.43 | -14.04 | 2.84378623572876+2.64969698309534i | 6.53900240466343+1.72556921476928i | 1.84760808446734-0.46206388416303i | 1.84760808446734-0.46206388416303i | 10.2342185735981+0.80144144644322i | 10.27 | 4.48 | 105.050784633602+46.5213955706783i | -1.55175574484226-3.47860442932172i | -4.65526723452677-10.4358132879651i | 98.843761654233+32.6069778533915i | 104.08 | 18.26 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 8.44406326634419-2.82840243343421i | 8.91 | -18.52 | 8.44 | -2.83 | -0.451151322262996-5.156683209926i | 5.18 | -95.00 | -4.24024299793311+2.96905011099369i | 5.18 | 145.00 | 5.54282425340202-1.38619165248909i | 5.71 | -14.04 | 5.54282425340202-1.38619165248909i | 5.71 | -14.04 | -13.1035114896848-124.277716934333i | 124.97 | -96.02 | -99.7060518681286+60.3632992170458i | 116.55 | 148.81 | ||||||||||||||||||
84 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
85 | δ = | 60 | ES := | 60+103.923048454133i | 3I0 at fault | IA at relay | VA at relay | apparent ZAG at relay | IB at relay | IC at relay | 3IA2 at relay | 3IA0 at relay | VB at relay | VC at relay | |||||||||||||||||||||||||||||||||||||||||||||||||
86 | RF | IF (1I0 at fault) | mag | ang | i1 | IA1 | IA2 | IA0 | IA1+IA2+IA0 | IA mag | IA ang | VA1 | VA2 | VA0 | VA1+VA2+VA0 | VA mag | VA ang | ZAG = VA/(IA+k0*IR) | ZA mag | ZA ang | R | X | RF*IF/IA | mag | ang | R | X | a^2*IA1+a*IA2+IA0 | IB mag | IB ang | a*IA1+a^2*IA2+IA0 | IC mag | IC mag | 3IA2 | 3IA2 mag | 3IA2 ang | 3IA0 | 3IA0 mag | 3IA0 ang | a^2*VA1+a*VA2+VA0 | VB mag | VB ang | a*VA1+a^2*VA2+VA0 | VC mag | VC ang | ||||||||||||||||||
87 | 0 | 4.45336319381138-5.3073115853515i | 20.78 | -50.00 | 5.43376283428412+9.08153188954115i | 9.8871260280955+3.77422030418965i | 2.22668159690569-2.65365579267575i | 2.22668159690569-2.65365579267575i | 14.3404892219069-1.53309128116185i | 14.42 | -6.10 | 64+83.1384387633063i | -6.00000000000001-3.46410161513779i | -18-10.3923048454134i | 40+69.2820323027551i | 80.00 | 60.00 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0 | 0.00 | #DIV/0! | 0.00 | 0.00 | 1.73648177666929-9.84807753012215i | 10.00 | -80.00 | -9.39692620785911+3.42020143325672i | 10.00 | 160.00 | 6.68004479071707-7.96096737802725i | 10.39 | -50.00 | 6.68004479071707-7.96096737802725i | 10.39 | -50.00 | 28.0000000000002-110.851251684408i | 114.33 | -75.82 | -122+10.3923048454131i | 122.44 | 175.13 | ||||||||||||||||||
88 | 1 | 5.09560228234024-4.15922547376345i | 19.73 | -39.22 | 5.11264329001968+8.50748883374714i | 10.2082455723599+4.34826335998369i | 2.54780114117012-2.07961273688173i | 2.54780114117012-2.07961273688173i | 15.3038478547001+0.18903788622023i | 15.31 | 0.71 | 65.0191204564681+82.3065936685537i | -4.98087954353197-4.29594670989048i | -14.9426386305959-12.8878401296714i | 45.0956022823402+65.1228068289918i | 79.21 | 55.30 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 0.988664437009308-0.827541646838457i | 1.29 | -39.93 | 0.99 | -0.83 | 1.73648177666932-9.84807753012206i | 10.00 | -80.00 | -9.39692620785911+3.42020143325668i | 10.00 | 160.00 | 7.64340342351036-6.23883821064519i | 9.87 | -39.22 | 7.64340342351036-6.23883821064519i | 9.87 | -39.22 | 30.0382409129363-112.514941873914i | 116.46 | -75.05 | -119.961759087064+8.72861465590777i | 120.28 | 175.84 | ||||||||||||||||||
89 | 2 | 5.27620706880845-3.0191815822837i | 18.24 | -29.78 | 5.02234089678559+7.93746688800727i | 10.298547965594+4.91828530572357i | 2.63810353440423-1.50959079114185i | 2.63810353440423-1.50959079114185i | 15.5747550344025+1.89910372343987i | 15.69 | 6.95 | 66.1104828275235+81.9307661303929i | -3.88951717247663-4.67177424805127i | -11.6685515174299-14.0153227441538i | 50.552414137617+63.2436691381878i | 80.96 | 51.36 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 1.86307631342495-1.39027962942281i | 2.32 | -36.73 | 1.86 | -1.39 | 1.73648177666933-9.84807753012205i | 10.00 | -80.00 | -9.39692620785911+3.42020143325667i | 10.00 | 160.00 | 7.91431060321269-4.52877237342555i | 9.12 | -29.78 | 7.91431060321269-4.52877237342555i | 9.12 | -29.78 | 32.220965655047-113.266596950236i | 117.76 | -74.12 | -117.779034344954+7.97695957958622i | 118.05 | 176.13 | ||||||||||||||||||
90 | 3 | 5.13483621486475-2.05871990096587i | 16.60 | -21.85 | 5.09302632375743+7.45723604734834i | 10.2278625386222+5.39851614638247i | 2.56741810743238-1.02935995048294i | 2.56741810743238-1.02935995048294i | 15.362698753487+3.33979624541659i | 15.72 | 12.27 | 67.0809017289189+81.9032068227268i | -2.91909827108115-4.69933355571732i | -8.75729481324344-14.0980006671519i | 55.4045086445943+63.1058725998576i | 83.98 | 48.72 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 2.62204818075366-1.77609326433496i | 3.17 | -34.11 | 2.62 | -1.78 | 1.73648177666929-9.84807753012216i | 10.00 | -80.00 | -9.39692620785912+3.42020143325671i | 10.00 | 160.00 | 7.70225432229714-3.08807985144882i | 8.30 | -21.85 | 7.70225432229714-3.08807985144882i | 8.30 | -21.85 | 34.1618034578379-113.321715565567i | 118.36 | -73.22 | -115.838196542163+7.92184096425417i | 116.11 | 176.09 | ||||||||||||||||||
91 | 4 | 4.82489533116291-1.32233875027525i | 15.01 | -15.33 | 5.24799676560835+7.08904547200302i | 10.0728920967713+5.76670672172777i | 2.41244766558146-0.661169375137625i | 2.41244766558146-0.661169375137625i | 14.8977874279342+4.44436797145252i | 15.55 | 16.61 | 67.8599162649303+82.0805677630861i | -2.14008373506967-4.52197261535799i | -6.42025120520898-13.565917846074i | 59.2995813246517+63.9926773016541i | 87.24 | 47.18 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 3.27700126337354-2.04273719220799i | 3.86 | -31.94 | 3.28 | -2.04 | 1.73648177666927-9.84807753012211i | 10.00 | -80.00 | -9.39692620785914+3.42020143325675i | 10.00 | 160.00 | 7.23734299674438-1.98350812541287i | 7.50 | -15.33 | 7.23734299674438-1.98350812541287i | 7.50 | -15.33 | 35.7198325298609-112.966993684849i | 118.48 | -72.45 | -114.28016747014+8.27656284497262i | 114.58 | 175.86 | ||||||||||||||||||
92 | 5 | 4.45336319381136-0.785248085962947i | 13.57 | -10.00 | 5.43376283428412+6.82050013984689i | 9.88712602809548+6.03525205388394i | 2.22668159690568-0.392624042981474i | 2.22668159690568-0.392624042981474i | 14.3404892219068+5.25000396792099i | 15.27 | 20.11 | 68.4533631938114+82.3531906773434i | -1.54663680618863-4.24934970110073i | -4.63991041856589-12.7480491033022i | 62.2668159690569+65.3557918729405i | 90.27 | 46.39 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 3.84247854224951-2.22807941824574i | 4.44 | -30.11 | 3.84 | -2.23 | 1.73648177666931-9.84807753012212i | 10.00 | -80.00 | -9.39692620785907+3.4202014332567i | 10.00 | 160.00 | 6.68004479071704-1.17787212894442i | 6.78 | -10.00 | 6.68004479071704-1.17787212894442i | 6.78 | -10.00 | 36.906726387623-112.421747856334i | 118.32 | -71.83 | -113.093273612378+8.82180867348725i | 113.44 | 175.54 | ||||||||||||||||||
93 | 6 | 4.07922997897234-0.402690953526045i | 12.30 | -5.64 | 5.62082944170364+6.62922157362841i | 9.70005942067598+6.22653062010237i | 2.03961498948617-0.201345476763023i | 2.03961498948617-0.201345476763023i | 13.7792893996483+5.82383966657632i | 14.96 | 22.91 | 68.8950759747668+82.6552096190751i | -1.10492402523319-3.94733075936904i | -3.31477207569956-11.8419922781071i | 64.475379873834+66.865886581599i | 92.89 | 46.04 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 4.33247217064614-2.35716512682031i | 4.93 | -28.55 | 4.33 | -2.36 | 1.73648177666928-9.84807753012215i | 10.00 | -80.00 | -9.39692620785908+3.42020143325672i | 10.00 | 160.00 | 6.11884496845851-0.604036430289069i | 6.15 | -5.64 | 6.11884496845851-0.604036430289069i | 6.15 | -5.64 | 37.7901519495338-111.817709972871i | 118.03 | -71.33 | -112.209848050466+9.42584655695062i | 112.61 | 175.20 | ||||||||||||||||||
94 | 7 | 3.72970449499745-0.132774460610357i | 11.20 | -2.04 | 5.7955921836911+6.49426332717054i | 9.52529667868855+6.36148886656018i | 1.86485224749873-0.0663872303051785i | 1.86485224749873-0.0663872303051785i | 13.255001173686+6.22871440594982i | 14.65 | 25.17 | 69.2215862929964+82.9525545184518i | -0.778413707003562-3.64998585999229i | -2.33524112101068-10.9499575799769i | 66.1079314649822+68.3526110784826i | 95.09 | 45.96 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 4.75922168461282-2.44678185357379i | 5.35 | -27.21 | 4.76 | -2.45 | 1.73648177666925-9.84807753012208i | 10.00 | -80.00 | -9.39692620785911+3.42020143325674i | 10.00 | 160.00 | 5.59455674249619-0.199161690915535i | 5.60 | -2.04 | 5.59455674249619-0.199161690915535i | 5.60 | -2.04 | 38.4431725859931-111.223020174118i | 117.68 | -70.93 | -111.556827414007+10.020536355704i | 112.01 | 174.87 | ||||||||||||||||||
95 | 8 | 3.41459566970933+0.0571597724298778i | 10.25 | 0.96 | 5.95314659633515+6.39929621065043i | 9.36774226604448+6.45645598308031i | 1.70729783485467+0.0285798862149389i | 1.70729783485467+0.0285798862149389i | 12.7823379357538+6.51361575551019i | 14.35 | 27.00 | 69.4633530715349+83.2298943991942i | -0.536646928465062-3.37264597924998i | -1.60994078539518-10.1179379377499i | 67.3167653576747+69.7393104821943i | 96.93 | 46.01 | #ERROR! | #ERROR! | #ERROR! | #ERROR! | #ERROR! | 5.13300861374614-2.50835265054809i | 5.71 | -26.04 | 5.13 | -2.51 | 1.73648177666926-9.84807753012212i | 10.00 | -80.00 | -9.39692620785906+3.42020143325673i | 10.00 | 160.00 | 5.12189350456401+0.0857396586448167i | 5.12 | 0.96 | 5.12189350456401+0.0857396586448167i | 5.12 | 0.96 | 38.9267061430702-110.668340412633i | 117.31 | -70.62 | -111.073293856931+10.5752161171887i | 111.58 | 174.56 | ||||||||||||||||||
96 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
97 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
98 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
99 | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
100 |