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1 04/08/2023 document.xls
Basler ElectricSpreadsheet for Performing Complex Number, Sequence Component, and Other Basic Electric System Calculations
Disclaimer
Purpose of this Spreadsheet
Instructions, Notes
100+100i If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, see the instructions above.
Revision Notes:Rev. 1.0; 10/14/02; Initial version, consisting of the following sheets: ComplexCalc, ABC012, Basic Faults, Other Calcs, Graphs, Intermediate Calcs.Rev. 1.1; 09/03; ABC012 sheet: gave explanation of xfmr theory, added mag * & / 1.732 calc, revised a few default field views. Rev. 2.0: 10/18/04; Added more per unit calcs on "Other Calcs" sheet. Added the blank "User's Calcs" sheet. Added "Z,ABC<>012" sheet. Renamed some sheets.Rev. 3.0: 03/06; Added "Z=OHL" sheet using simplified Carson's equation from Wagner and Evans.
Basler Electric Company, P.O. Box 269, Highland, Illinois USA 62249Phone: 618/654-2341 - Fax: 618/654-2351 - Website: http://www.basler.com
This spreadsheet presents basic calculations associated with electrical power. In developing this software Basler Electric has attempted to develop accurate calculation methods, but Basler Electric does not warrant that the software is free from bugs, errors, or other program limitations. Users are encouraged to consult with a Basler Electric representative to determine the accuracy of the data and results for the specific use or purpose of the user.
By use of this program, the user agrees that Basler Electric disclaims all warranties of noninfringement of third party rights, quality, performance, merchantability, or fitness for a particular purpose. The user assumes the entire risk as to the quality and performance of the software. In no event will Basler Electric be liable for any indirect, special, or consequential damages. In the event of any litigation regarding this software, the user agrees that the venue shall be the State of Illinois.
This spreadsheet is intended to assist in the performance of various calculations associated with electric power flow. It is essentially a complex number and sequence components calculator and a shortcut to do a few other basic calculations.
=> See each sheet for instructions specific to that sheet.=> This spreadsheet is best viewed at 1024x768 or higher resolution. To fit everything on one screen some sheets use <100% zoom. If one has a higher resolution monitor, one might raise the zoom control to 100% for clearer viewing.=> This sheet uses complex number functions from the Excel Analysis ToolPak. Enable the Analysis ToolPak feature from the Excel menu "Tools/Add-Ins." If the Analysis ToolPak is not listed as an available Add-In, then likely only a partial installation of Excel has been done on your machine. The Analysis ToolPak is distributed with Excel, but it is an optional component that might not be installed in a partial installation of Excel. See test below to verify the complex number functions are working correctly.=> Though locking and protection is used in much of the the spreadsheet, there is no password protection. If one has obtained this spreadsheet from third party source, be aware of possible changes to calculations that may have been done, and keep a backup copy of the original spreadsheet in case one inadvertently changes a calculation for the worse.=> All macros re-enable protection; editing the macros is the only way to stop this. => Most calculations are done on the Intermediate Calcs sheet and macros are used to copy data to the various other sheets.=> Send comments on this spreadsheet to "[email protected]"
2 04/08/2023 document.xls
Basic Complex Number Calculator
Real Imaginary Rect<=>Polar Magnitude Degrees +/-, Conjugate, Clear Copy Data to:
Quantity 1 3.00000 4.00000 5.00000 53.130
Quantity 2 3.00000 4.00000 5.00000 53.130
Memory 1 3.00000 4.00000 5.00000 53.130
Memory 2
Memory 3
Memory 4
Calculate:
Calc Results: Real Imaginary Magnitude Degrees Copy results to:
Q1 / Q2 1.00000 0.00000 1.00000 0.000
100+100i
User Notes:
Instructions/Notes:=> Click on red arrows to convert between rectangular and polar formats, and click on M1/2/3/4 and Q1/2 to copy data from field to field as indicated. Click on Q1<=>Q2 to exchange Q1 and Q2 data.=> After entering rectangular Q1 and Q2 data, click on the indicated function boxes to see the appropriate information in the "Calc Results" field.=> Almost all calculations are done on the "Intermediate Calcs" sheet and macros involving calculations are simply copying data from the Intermediate Calcs page.
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.
Calculations use data in RECTANGULAR FORMAT. If Polar data is entered, click on the Polar to Rect. Conv. button before clicking on a Calculate button.
R<P R>P
Q1+Q2
M2
M2M1Q2
M2M1Q1
Q2Q1
Q2Q1
M1Q2Q1
Q1xQ2Q1-Q2
Q1<=>Q2
Q1/Q2 Q1^2 Sqrt Q1 1/Q1
Clear
Clear
Clear
Clear
+/- Conj.
+/- Conj.
Q1xQ2*
Clear
Q1 || Q2
Q2Q1Clear
Q2Q1Clear
M3
M3 M4
M4
M4M3
►►◄◄
►►◄◄
3 04/08/2023 document.xls
Basic Sequence Components Calculator and Converter
A-B-C Phase Quantities 0-1-2 Sequence Quantities
Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees Copy data to; Misc. functions:A-N 415.0000 425.0000 0
Vl-n B-N 415.0000 425.0000 1C-N 415.0000 425.0000 2
A-B 0 0.0000 0.0000 0.0000 0.000Vl-l B-C 1
C-A 0.0000 0.0000 0.000 0.000 2
A 0I B 1
C 2
A 0Mem 1 B 1
C 2A 0
Mem 2 B 1C 2
Voltage Xfmr Effects on V and I Current Xfmr Effects on I
Pri./Sec. ph./ph. voltage ratio: 1 CT ratio (N:1): 1
Pos.Seq. Phase shift; Pri.=>Sec. 30 for N:5 ratio, N= 5(NOTE: VT Calcs Use ABC-Rect. Data) (CT Calcs Use ABC-Rect. Data)
Secondary
Quantities Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees Copy to:A-N 0
Vl-n B-N 1C-N 2A-B 0
Vl-l B-C 1C-A 2A 0
I B 1C 2
100+100i
User Notes:
Instructions/Notes:=> The spreadsheet implements the classical phase to sequence and sequence to phase calculations (see cell H4 and O4 comments), along with polar/rectangular conversion.=> Green and yellow are user input fields. Yellow indicates a field used in the Transformer Effects calculations.=> Vca and Vll-Vo are not user inputs because: a) two Vl-l quantities define the third. Vca was selected as defined by equation. b) Vl-l has no ground reference and hence no Vo.=> Transformer effect calculations use ABC-Rectangular data in yellow fields.=> See notes in cell D28 for an explanation of the Voltage Xfmr Effects calculations.=> The spreadsheet accepts any voltage transformer phase shift, even one that is physically impossible. Use your good judgment when entering phase shifts.=> The calculations Mem1 = V x I* (= S) and Mem2 = I + Mem1 (= Isum, for differential applications) use ABC-Rectangular format data.=> CT secondary calculations for delta connections are for lines outside of the delta.
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.
A-B-C Phase Quantities 0-1-2 Sequence Quantites
M2M1
M2M1
Vl-lVl-n
+/-
+/-
Clear
All Other Xfmr Config.
(Vo & Io blocked)
Wye-Gnd / Wye-Gnd
Wye Sec.no phase
shift
Delta A-C Sec.I1,I2@-/+30deg
Io blocked
M2M1
Clear Secondary Data
M2M1
M2M1
I
Vl-lVl-n ClearI
M2M1 +/-
Delta A-B Sec. I1,I2@+/-30deg
Io blocked
Vl-n
Vl-l
I
Convert
ConvertConvertConvert
ConvertConvertConvert
Convert Convert Convert Convert
Convert
Mem2 = I + Mem1 (using ABC-Rect. data)
Mem1 = Vln x I* (using ABC-Rect. data)
Clear
Clear
Clear
Series Impedance of Medium Length Overhead Lines
Presently Selected Unit System: English
UnitsFrequency for impedance calculations: Hz 60
Total Line Length: mile(s) 1Ground Resistivity: Ohm-meters 100
Phase A Resistance per unit length (Ra) ohms/mile 0.11720Conductor Radius (Ds or GMR) feet 0.03730X Dimension; = 0 for A phase feet 0.00
Height above Ground (Y) feet 29.00Phase B Resistance per unit length (Ra) ohms/mile 0.11720
Conductor Radius (Ds or GMR) feet 0.03730
Horizontal Distance from Ph A (X) feet -5.00
Height above Ground (Y) feet 25.00Phase C Resistance per unit length (Ra) ohms/mile 0.11720
Conductor Radius (Ds or GMR) feet 0.03730
Horizontal Distance from Ph A (X) feet 0.00
Height above Ground (Y) feet 21.00Neutral 1 Resistance per unit length (Ra) ohms/mile 0.30000
Conductor Radius (Ds or GMR) feet 0.02000Horizontal Distance from Ph A (X) feet -2.50
Height above Ground (Y) feet 35.00Neutral 2 Resistance per unit length (Ra) ohms/mile 0.30000
Conductor Radius (Ds or GMR) feet 0.02000Horizontal Distance from Ph A (X) feet -2.00
Height above Ground (Y) feet 15.00
Instructions/Notes:
100+100i
User Notes:
Do you wish to enter data in miles and feet (English); or kilometers and meters (SI-MKS)?
Note 1: The equations use a simplified equation for the ground loop impedance that is a partial implementation of what is referred to as Carson's Equations. See referenced paper for discussion. If one expects results that mimic Carson's Equations then one should obtain a professionally written package that fully implements those equations.Note 2: This sheet was first provided in Rev 3 of this spreadsheet. The results have not been deeply checked against a professionally written software package. Use the results with caution.
=>This sheet calculates the series impedance of overhead lines using the processes described in the paper, "Zero Sequence Impedance of Overhead Transmission Lines" (see www.basler.com).=> The spreadsheet uses a simplifed equation for the ground loop reported by many texts. See the referenced paper for the equation. => If any wire (phase or ground) does not exist, either enter a very high resistance or 0 resistance for that wire. The spreadsheet checks if R<0.00001 per unit length, and if so, it uses R =1E+6 per unit length instead.=> The X position of A phase relative to the ground plane is the X reference, so XA is fixed at 0. The X position of B, C, and N1 and N2 can be positive or negative. The calculations and X and Y input accept any conductor orientation. There is no requirement on the order of conductors; e.g., phase A could be the lowest, highest, the farthest to the right or the left, or anywhere in between. The only limitation is that phase A is expected to be at X = 0 and is the reference against which the XB, XC, XN1, and XN2 coordinates are measured, and that Y is positive for all conductors.=> This sheet does not calculate the effective diameter of bundled conductors. This is an easy calculation (see referenced paper) and is left to the user to apply and then enter the appropriate value in the cells.=> The spreadsheet will not support more than 2 ground wires, nor does it calculate the mutual impedance with a parallel line, nor does it calculate the impedance of 2+ parallel lines.
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.
-6 -5 -4 -3 -2 -1 0
0
5
10
15
20
25
30
35
40
Conductor Locations
X Distance from Ph AH
eig
ht
Ab
ov
e G
rou
nd
English
SI-MKS
The impedance of the total line length in ohms:
Magnitude Degrees Magnitude Degrees0.9187 77.68 0.2946 74.96
ZABC = 0.2940 74.90 0.9350 78.080.2659 73.52 0.2940 74.92
The impedances in the above matrix refer to the ABC domain impedances below:
Resultant Symmetrical Component Domain Impedances in ohmsMagnitude Degrees Magnitude Degrees
1.4920 76.53 0.0161 -24.23Z012 = 0.0155 -150.77 0.6396 79.28
0.0153 -24.91 0.0132 23.31Z1, Z2 using K*ln(GMD/GMR) and phase A wire R, GMRThe impedances in the above matrix refer to the 012 domain impedances below.Z00, Z11, and Z22 are the values commonly referred to as Z0, Z1, and Z2.
Instructions/Notes:
The equations use a simplified equation for the ground loop impedance that is a partial implementation of what is referred to as Carson's Equations. See referenced paper for discussion. If one expects results that mimic Carson's Equations then one should obtain a professionally written package that fully implements those equations.
This sheet was first provided in Rev 3 of this spreadsheet. The results have not been deeply checked against a professionally written software package. Use the results with caution.
=>This sheet calculates the series impedance of overhead lines using the processes described in the paper, "Zero Sequence Impedance of Overhead Transmission Lines" (see www.basler.com).=> The spreadsheet uses a simplifed equation for the ground loop reported by many texts. See the referenced paper for the equation. => If any wire (phase or ground) does not exist, either enter a very high resistance or 0 resistance for that wire. The spreadsheet checks if R<0.00001 per unit length, and if so, it uses R =1E+6 per unit length instead.=> The X position of A phase relative to the ground plane is the X reference, so XA is fixed at 0. The X position of B, C, and N1 and N2 can be positive or negative. The calculations and X and Y input accept any conductor orientation. There is no requirement on the order of conductors; e.g., phase A could be the lowest, highest, the farthest to the right or the left, or anywhere in between. The only limitation is that phase A is expected to be at X = 0 and is the reference against which the XB, XC, XN1, and XN2 coordinates are measured, and that Y is positive for all conductors.=> This sheet does not calculate the effective diameter of bundled conductors. This is an easy calculation (see referenced paper) and is left to the user to apply and then enter the appropriate value in the cells.=> The spreadsheet will not support more than 2 ground wires, nor does it calculate the mutual impedance with a parallel line, nor does it calculate the impedance of 2+ parallel lines.
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.
-6 -5 -4 -3 -2 -1 0
0
5
10
15
20
25
30
35
40
Conductor Locations
X Distance from Ph A
He
igh
t A
bo
ve
Gro
un
d
Conductor X, Y coordinates
Magnitude Degrees X Y0.2658 73.51 A 0 290.2933 74.85 B -5 250.9167 77.63 C 0 21
The impedances in the above matrix refer to the ABC domain impedances below: N1 -2.5 35N2 -2 15
Separation between conductors (feet).dX dY Total
A-B 5.00 4.00 6.40A-C 0.00 8.00 8.00A-N1 2.50 -6.00 6.50
Resultant Symmetrical Component Domain Impedances in ohms A-N2 2.00 14.00 14.14Magnitude Degrees B-C -5.00 4.00 6.40
0.0162 -150.40 B-N1 -2.50 -10.00 10.310.0134 141.55 B-N2 -3.00 10.00 10.440.6396 79.28 C-N1 2.50 14.00 14.220.6441 79.52 C-N2 2.00 6.00 6.32
The impedances in the above matrix refer to the 012 domain impedances below. N1-N2 -0.50 20.00 20.01Z00, Z11, and Z22 are the values commonly referred to as Z0, Z1, and Z2. GMD, Phase Conductors, (feet). 6.90
Instructions/Notes:
The equations use a simplified equation for the ground loop impedance that is a partial implementation of what is referred to as Carson's Equations. See referenced paper for discussion. If one expects results that
=>This sheet calculates the series impedance of overhead lines using the processes described in the paper, "Zero Sequence Impedance of Overhead Transmission Lines" (see www.basler.com).
=> If any wire (phase or ground) does not exist, either enter a very high resistance or 0 resistance for that wire. The spreadsheet checks if R<0.00001 per unit length, and if so, it uses R =1E+6 per unit length instead.=> The X position of A phase relative to the ground plane is the X reference, so XA is fixed at 0. The X position of B, C, and N1 and N2 can be positive or negative. The calculations and X and Y input accept any conductor orientation. There is no requirement on the order of conductors; e.g., phase A could be the lowest, highest, the farthest to the right or the left, or anywhere in between. The only limitation is that phase A is expected to be at X =
=> This sheet does not calculate the effective diameter of bundled conductors. This is an easy calculation (see referenced paper) and is left to the user to apply and then enter the appropriate value in the cells.
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the
Blank unprotected sheet for user's work
11 04/08/2023 document.xls
Basic Fault Calculator
System Data:Magnitude Degrees
E prefault 0Magnitude Degrees
Z0Z1Z2ZfZn
Fault Calculations
Three Phase A phase to ground Phase B to Phase C
In Fault In Fault In Fault
Mag Degrees Mag Degrees Mag DegreesI-a I-a I-aI-b I-b I-bI-c I-c I-cI-0 I-0 I-0I-1 I-1 I-1I-2 I-2 I-2
Other side of Xfmr Other side of Xfmr Other side of XfmrMag Degrees Mag Degrees Mag Degrees
I-a I-a I-aI-b I-b I-bI-c I-c I-cI-0 I-0 I-0I-1 I-1 I-1I-2 I-2 I-2
and then converting to ABC quantities.
100+100i
User Notes:
Instructions:=> Enter in the appropriate info in the System Data fields, an then press the "Calculate" button.=> The spreadsheet is simply performing the classical fault calculations given below:
I-3ph: I1 = E/(Z1+Zf)
I-B to C: I1 = -I2 = E/(Z1+Z2+Zf)
I-A to Gnd: I1 = I2 = I0 = E/(Z1+Z2+Z0+3Zf+3Zn)
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.
Z-fault
E-prefault
Z-system
30o Lead
I-fault
Zn
Calculate
Clear All
12 04/08/2023 document.xls
Basic Voltage Drop & Load Flow Calculator Miscellaneous Other Calcs:
Given Es, Er:
Magnitude Degrees Magnitude Degrees
Es 0.0000 Z-line
Er
Given Es, I: Solution is for:
Magnitude Degrees
Es 0.0000 Watts VAR VA Power Fact.
I Ss Per Unit / Base CalculationsSr Three Phase
Given Er, I: Sline MVA base, 3phMagnitude Degrees Real Imaginary Mag. Degrees kV Base, L-L
Er 0.0000 Es Given Ohmic ValueI Er Given Current Value
Es-Er Given MVA ValueGiven Es, Ss: I KV, Line to Gnd
Magnitude Degrees I-baseEs 0.0000 Z-base
Watts VARs Coverted ValuesSs Ohms PU
Current PUGiven Er, Sr: MVA PU
Magnitude Degrees
Er 0.0000
Watts VARs
Sr
100+100i
User Notes:
X/R to Angle Converter:
VA/PF to Watt/VAR Converter
Add the Window's Scientific Calculator to your Excel Toolbar:1) Click through the Excel menu tree: Tools/Customize.2) Select the "Commands" tab, then in the "Categories" list click on "Tools." 3) In the scroll-down list of "Commands," there will be a few items that are simply named "Custom." Select the "Custom" command that has an icon that looks like a little calculator. Left click on it and drag it to somewhere in your toolbars.4) Click on Close.5) If you want to remove the icon later, repeat step 1, left click on the icon and drag it off the toolbar.
Instructions:=> Enter in the basic data in the appropriate fields, and then press the appropriate "Calculate" button.=> The load flow calculations are simple manipulations of S = E x I* and E = I x Z in complex number format. Macros just copy data from the Intermediate Calcs sheet to this sheet.=> Calculations are for balanced systems (i.e., single phase represents all three phases).=> Calculations use per unit voltages and currents, so that S = E x I* (e.g., the equation S = Sqrt(3) x El-l x I* is NOT used).=> Generally Es or Er is the reference angle against which other angles are measured and 0 is degrees would normally be used for Es (or Er), so the angle for Es and Er defaults to 0 degrees. However, the angle for Es and Er can be set to other than 0 and the entered angle will be used in the calculations.
If the Excel Analysis ToolPak is installed and working properly, the cell to the left should contain "100+100i." If it says "#NAME?" or any other message, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.
Z-line
Es
I, Ss
Er
I, Sr
Calculate
Calculate
Calculate
Calculate
Calculate
Clear Load Flow
13 04/08/2023 document.xls
Graphs
Graph Data Real Imaginary Graph Data Real Imaginary
Graph Data Real Imaginary Van 0.000 0.000 Phasor Origin (0) V0,ln 0.000 0.000 Phasor Origin (0)
Q1 0 0 Phasor Origin (0) 415.000 425.000 Phasor End Point 0.000 0.000 Phasor End Point
3 4 Phasor End Point Vbn 0.000 0.000 Phasor Origin (0) V1,ln 0.000 0.000 Phasor Origin (0)
Q2 0 0 Phasor Origin (0) 415.000 425.000 Phasor End Point 0.000 0.000 Phasor End Point
3 4 Phasor End Point Vcn 0.000 0.000 Phasor Origin (0) V2,ln 0.000 0.000 Phasor Origin (0)
Calc 0 0 Phasor Origin (0) 415.000 425.000 Phasor End Point 0.000 0.000 Phasor End Point
1 0 Phasor End Point Vab 0.000 0.000 Phasor Origin (0) V1,ll 0.000 0.000 Phasor Origin (0)
0.000 0.000 Phasor End Point 0.000 0.000 Phasor End Point
Vbc 0.000 0.000 Phasor Origin (0) V2,ll 0.000 0.000 Phasor Origin (0)
0.000 0.000 Phasor End Point 0.000 0.000 Phasor End Point
Vca 0.000 0.000 Phasor Origin (0) I0 0.000 0.000 Phasor Origin (0)
0.000 0.000 Phasor End Point 0.000 0.000 Phasor End Point
Ia 0.000 0.000 Phasor Origin (0) I1 0.000 0.000 Phasor Origin (0)
0.000 0.000 Phasor End Point 0.000 0.000 Phasor End Point
Ib 0.000 0.000 Phasor Origin (0) I2 0.000 0.000 Phasor Origin (0)
0.000 0.000 Phasor End Point 0.000 0.000 Phasor End Point
Ic 0.000 0.000 Phasor Origin (0)
0.000 0.000 Phasor End Point
Instructions; Setting graph plot ranges: Between limitations in the Excel plotting/graphing functions and the varieties of plots that might be desired, only a few starting point graphs are provided below. To use these graphs one task that will likely be needed is to adjust the min and max of the X and Y scales to be the same so the graphs will look "correct" for a polar type view. To set Xmax/min and Ymax/min, double left click on each axis (real and imaginary), and select the 'scale' tab on the screen that pops up, then set the min and max values.
-20 -15 -10 -5 0 5 10 15 20
-20
-15
-10
-5
0
5
10
15
20
Graph of Q1, Q2, Calc Results from Complex Calc Sheet
Q1 Q2 Calc
Real
Ima
gin
ary
-5 -4 -3 -2 -1 0 1 2 3 4 5
-5
-4
-3
-2
-1
0
1
2
3
4
5
Graph of Vln, Vll, I in ABC Format
Van Vbn Vcn Vab Vbc Vca
Ia Ib Ic
Real
Imag
inar
y
-5 -4 -3 -2 -1 0 1 2 3 4 5
-5
-4
-3
-2
-1
0
1
2
3
4
5
Graph of Vln, Vll, I in 012 format
V0,ln V1,ln V2,ln V1,ll V2,ll
I0 I1 I2
Real
Ima
gin
ary
14 04/08/2023 document.xls
This sheet contains intermediate calculations for display on other pages. Named Ranges Lista_1 =IMCalcs!$H$276
Complex Calc Sheet. Data to be copied when the appropriate macro is run. a_2 =IMCalcs!$H$277Rect. Conversion from polar data Polar Conversion from rect. Data abc_i.012 ='V&I,ABC<>012'!$K$16:$O$18Real Imaginary Magnitude Degrees abc_i.012.p ='V&I,ABC<>012'!$N$16:$O$18
Quantity 1 3.000000 4.000000 5.000000 53.130102 abc_i.012.r ='V&I,ABC<>012'!$K$16:$L$18abc_i.abc ='V&I,ABC<>012'!$D$16:$H$18
Quantity 2 3.000000 4.000000 5.000000 53.130102 abc_i.abc.p ='V&I,ABC<>012'!$G$16:$H$18abc_i.abc.r ='V&I,ABC<>012'!$D$16:$E$18
Real Imaginary Magnitude Angle abc_mem1.012 ='V&I,ABC<>012'!$K$21:$O$23Q1 + Q2 6.000000 8.000000 10.000000 53.130102 +/- Q1 -3.000000 -4.000000 5.000000 -126.869898 abc_mem1.12 ='V&I,ABC<>012'!$K$22:$O$23Q1 - Q2 0.000000 0.000000 0.000000 0.000000 Q1 Conjugate 3.000000 -4.000000 5.000000 -53.130102 abc_mem1.ab ='V&I,ABC<>012'!$D$21:$H$22Q1 x Q2 -7.000000 24.000000 25.000000 106.260205 +/- Q2 -3.000000 -4.000000 5.000000 -126.869898 abc_mem1.abc ='V&I,ABC<>012'!$D$21:$H$23Q1 / Q2 1.000000 0.000000 1.000000 0.000000 Q2 Conjugate 3.000000 -4.000000 5.000000 -53.130102 abc_mem2.012 ='V&I,ABC<>012'!$K$24:$O$26Q1^2 -7.000000 24.000000 25.000000 106.260205 New Q1 3.000000 4.000000 5.000000 53.130102 abc_mem2.12 ='V&I,ABC<>012'!$K$25:$O$26Sqrt(Q1) 2.000000 1.000000 2.236068 26.565051 Q1<=>Q2 abc_mem2.ab ='V&I,ABC<>012'!$D$24:$H$251/Q1 0.120000 -0.160000 0.200000 -53.130102 New Q2 3.000000 4.000000 5.000000 53.130102 abc_mem2.abc ='V&I,ABC<>012'!$D$24:$H$26Q1 x Q2* 25.000000 0.000000 25.000000 0.000000 abc_results.012 ='V&I,ABC<>012'!$K$35:$O$43Q1 || Q2 1.500000 2.000000 2.500000 53.130102 abc_results.abc ='V&I,ABC<>012'!$D$35:$H$43
abc_results.ix.012 ='V&I,ABC<>012'!$K$41:$O$43abc_results.ix.abc ='V&I,ABC<>012'!$D$41:$H$43abc_results.vx.vll.012 ='V&I,ABC<>012'!$K$38:$O$40abc_results.vx.vll.12 ='V&I,ABC<>012'!$K$39:$O$40abc_results.vx.vll.ab ='V&I,ABC<>012'!$D$38:$H$39
V&I,ABC<>012 Sheet. Data to be copied when the appropriate macro is run. abc_results.vx.vll.abc ='V&I,ABC<>012'!$D$38:$H$40Vl-n ABC rectangular conversions A-B-C Quantities 0-1-2 Sequence Quantities abc_results.vx.vln.012 ='V&I,ABC<>012'!$K$35:$O$37
Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees abc_results.vx.vln.abc ='V&I,ABC<>012'!$D$35:$H$37A-N 415.000000 425.000000 594.011784 45.682060 0 415.000000 425.000000 594.011784 45.682060 abc_vll.012 ='V&I,ABC<>012'!$K$11:$O$13
Vl-n B-N 415.000000 425.000000 594.011784 45.682060 1 0.000000 0.000000 0.000000 0.000000 abc_vll.12 ='V&I,ABC<>012'!$K$12:$O$13C-N 415.000000 425.000000 594.011784 45.682060 2 0.000000 0.000000 0.000000 0.000000 abc_vll.12.p ='V&I,ABC<>012'!$N$12:$O$13A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 abc_vll.12.r ='V&I,ABC<>012'!$K$12:$L$13
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 abc_vll.ab ='V&I,ABC<>012'!$D$11:$H$12C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 abc_vll.ab.p ='V&I,ABC<>012'!$G$11:$H$12
Vl-n ABC polar conversions A-B-C Quantities 0-1-2 Sequence Quantities abc_vll.ab.r ='V&I,ABC<>012'!$D$11:$E$12Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees abc_vll.abc ='V&I,ABC<>012'!$D$11:$H$13
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 abc_vln.012 ='V&I,ABC<>012'!$K$6:$O$8Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 abc_vln.012.p ='V&I,ABC<>012'!$N$6:$O$8
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 abc_vln.012.r ='V&I,ABC<>012'!$K$6:$L$8A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 abc_vln.abc ='V&I,ABC<>012'!$D$6:$H$8
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 abc_vln.abc.p ='V&I,ABC<>012'!$G$6:$H$8C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 abc_vln.abc.r ='V&I,ABC<>012'!$D$6:$E$8
Vl-n 012 rectangular conversions A-B-C Quantities 0-1-2 Sequence Quantities bf_all.results ='Basic Faults'!$B$16:$L$34Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees cc_m1 =ComplexCalc!$D$9:$H$9
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 cc_m2 =ComplexCalc!$D$10:$H$10Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 cc_m3 =ComplexCalc!$D$11:$H$11
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 cc_m4 =ComplexCalc!$D$12:$H$12A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 cc_q1 =ComplexCalc!$D$5:$H$5
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 cc_q1.polar =ComplexCalc!$G$5:$H$5C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 cc_q1.rect =ComplexCalc!$D$5:$E$5
Vl-n 012 polar conversions A-B-C Quantities 0-1-2 Sequence Quantities cc_q1q2 =ComplexCalc!$D$5:$H$7Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees cc_q2 =ComplexCalc!$D$7:$H$7
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 cc_q2.polar =ComplexCalc!$G$7:$H$7Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 cc_q2.rect =ComplexCalc!$D$7:$E$7
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 cc_results =ComplexCalc!$B$17:$H$17A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 cc_results.data.only =ComplexCalc!$D$17:$H$17
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.cc_1.over.q1 =IMCalcs!$B$18:$H$18C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.cc_plusminus.q1 =IMCalcs!$K$12:$O$12
Vl-l ABC rectangular conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.cc_plusminus.q2 =IMCalcs!$K$14:$O$14Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.cc_q1.conjugate =IMCalcs!$K$13:$O$13
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.divide.q2 =IMCalcs!$B$15:$H$15Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.minus.q2 =IMCalcs!$B$13:$H$13
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.over.q2 =IMCalcs!$B$18:$H$18A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.parallel.q2 =IMCalcs!$B$20:$H$20
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.plus.q2 =IMCalcs!$B$12:$H$12C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.polar.conv.from.rect =IMCalcs!$G$7:$H$7
Vl-l ABC polar conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.cc_q1.q2.exchange =IMCalcs!$K$16:$O$18Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.cc_q1.rect.conv.from.polar =IMCalcs!$D$7:$E$7
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.squared =IMCalcs!$B$16:$H$16Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.x.q2 =IMCalcs!$B$14:$H$14
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.cc_q1.x.q2conjugate =IMCalcs!$B$19:$H$19A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.cc_q2.conjugate =IMCalcs!$K$15:$O$15
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.cc_q2.polar.conv.from.rect =IMCalcs!$G$9:$H$9C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.cc_q2.rect.conv.from.polar =IMCalcs!$D$9:$E$9
Vl-l 012 rectangular conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.cc_sqrt.q1 =IMCalcs!$B$17:$H$17Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.complexcheck.i =IMCalcs!$D$730
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.complexcheck.r =IMCalcs!$C$730Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.fault_all.results =IMCalcs!$B$221:$L$239
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.i.012.p_012.p =IMCalcs!$N$108:$O$110A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.i.012.p_012.r =IMCalcs!$K$108:$L$110
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.i.012.p_abc.p =IMCalcs!$G$108:$H$110C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.i.012.p_abc.r =IMCalcs!$D$108:$E$110
Vl-l 012 polar conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.i.012.r_012.p =IMCalcs!$N$103:$O$105Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.i.012.r_012.r =IMCalcs!$K$103:$L$105
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.i.012.r_abc.p =IMCalcs!$G$103:$H$105Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.i.012.r_abc.r =IMCalcs!$D$103:$E$105
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.i.abc.p_012.p =IMCalcs!$N$98:$O$100A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.i.abc.p_012.r =IMCalcs!$K$98:$L$100
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.i.abc.p_abc.p =IMCalcs!$G$98:$H$100C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.i.abc.p_abc.r =IMCalcs!$D$98:$E$100
I ABC rectangular conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.i.abc.r_012.p =IMCalcs!$N$93:$O$95Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.i.abc.r_012.r =IMCalcs!$K$93:$L$95
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.i.abc.r_abc.p =IMCalcs!$G$93:$H$95Vl-n B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.i.abc.r_abc.r =IMCalcs!$D$93:$E$95
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.i_plusminus.012 =IMCalcs!$K$123:$O$125I ABC polar conversions A-B-C Quantities ic.i_plusminus.abc =IMCalcs!$D$123:$H$125
Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.isum3_012 =IMCalcs!$K$170:$O$172A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.isum3_abc =IMCalcs!$D$170:$H$172
I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.ix.dab_012 =IMCalcs!$K$155:$O$157C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.ix.dab_abc =IMCalcs!$D$155:$H$157
15 04/08/2023 document.xls
I 012 rectangular conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.ix.dac_012 =IMCalcs!$K$160:$O$162Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.ix.dac_abc =IMCalcs!$D$160:$H$162
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.ix.yy_012 =IMCalcs!$K$150:$O$152I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.ix.yy_abc =IMCalcs!$D$150:$H$152
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.lf_er.i =IMCalcs!$H$194:$L$203I 012 polar conversions A-B-C Quantities 0-1-2 Sequence Quantities ic.lf_er.sr =IMCalcs!$H$182:$L$191
Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.lf_es.er =IMCalcs!$B$182:$F$191A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.lf_es.i =IMCalcs!$B$206:$F$215
I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.lf_es.ss =IMCalcs!$B$194:$F$203C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.s3_012 =IMCalcs!$K$165:$O$167
+/- Vl-n A-B-C Quantities 0-1-2 Sequence Quantities ic.s3_abc =IMCalcs!$D$165:$H$167Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vll.012.p_vll.12.p =IMCalcs!$N$89:$O$90
A-N -415.000000 -425.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.012.p_vll.12.r =IMCalcs!$K$89:$L$90Vl-n B-N -415.000000 -425.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.012.p_vll.ab.p =IMCalcs!$G$88:$H$89
C-N -415.000000 -425.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll.012.p_vll.ab.r =IMCalcs!$D$88:$E$89+/- Vl-l A-B-C Quantities 0-1-2 Sequence Quantities ic.vll.012.p_vln.012.p =IMCalcs!$N$85:$O$87
Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vll.012.p_vln.012.r =IMCalcs!$K$85:$L$87A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.012.p_vln.abc.p =IMCalcs!$G$85:$H$87
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.012.p_vln.abc.r =IMCalcs!$D$85:$E$87C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll.012.r_vll.12.p =IMCalcs!$N$81:$O$82
+/- I A-B-C Quantities 0-1-2 Sequence Quantities ic.vll.012.r_vll.12.r =IMCalcs!$K$81:$L$82Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vll.012.r_vll.ab.p =IMCalcs!$G$80:$H$81
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.012.r_vll.ab.r =IMCalcs!$D$80:$E$81I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.012.r_vln.012.p =IMCalcs!$N$77:$O$79
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll.012.r_vln.012.r =IMCalcs!$K$77:$L$79Voltage Xfmr ic.vll.012.r_vln.abc.p =IMCalcs!$G$77:$H$79Wye-Wye Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vll.012.r_vln.abc.r =IMCalcs!$D$77:$E$79
A-N 415.000000 425.000000 594.011784 45.682060 0 415.000000 425.000000 594.011784 45.682060 ic.vll.abc.p_vll.12.p =IMCalcs!$N$73:$O$74Vl-n B-N 415.000000 425.000000 594.011784 45.682060 1 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vll.12.r =IMCalcs!$K$73:$L$74
C-N 415.000000 425.000000 594.011784 45.682060 2 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vll.ab.p =IMCalcs!$G$72:$H$73A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vll.ab.r =IMCalcs!$D$72:$E$73
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vln.012.p =IMCalcs!$N$69:$O$71C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vln.012.r =IMCalcs!$K$69:$L$71A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vln.abc.p =IMCalcs!$G$69:$H$71
I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.p_vln.abc.r =IMCalcs!$D$69:$E$71C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.r_vll.12.p =IMCalcs!$N$65:$O$66
Voltage Xfmr ic.vll.abc.r_vll.12.r =IMCalcs!$K$65:$L$66Other Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vll.abc.r_vll.ab.p =IMCalcs!$G$64:$H$65
A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.r_vll.ab.r =IMCalcs!$D$64:$E$65Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.r_vln.012.p =IMCalcs!$N$61:$O$63
C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.r_vln.012.r =IMCalcs!$K$61:$L$63A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.r_vln.abc.p =IMCalcs!$G$61:$H$63
Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vll.abc.r_vln.abc.r =IMCalcs!$D$61:$E$63C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vll_plusminus.12 =IMCalcs!$K$119:$O$120A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vll_plusminus.ab =IMCalcs!$D$118:$H$119
I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vln.012.p_vll.12.p =IMCalcs!$N$57:$O$58C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vln.012.p_vll.12.r =IMCalcs!$K$57:$L$58
Current Xfmr ic.vln.012.p_vll.ab.p =IMCalcs!$G$56:$H$57Wye Sec. Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vln.012.p_vll.ab.r =IMCalcs!$D$56:$E$57
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vln.012.p_vln.012.p =IMCalcs!$N$53:$O$55I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vln.012.p_vln.012.r =IMCalcs!$K$53:$L$55
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vln.012.p_vln.abc.p =IMCalcs!$G$53:$H$55Current Xfmr ic.vln.012.p_vln.abc.r =IMCalcs!$D$53:$E$55DAB Sec. Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vln.012.r_vll.12.p =IMCalcs!$N$49:$O$50
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vln.012.r_vll.12.r =IMCalcs!$K$49:$L$50I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vln.012.r_vll.ab.p =IMCalcs!$G$48:$H$49
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vln.012.r_vll.ab.r =IMCalcs!$D$48:$E$49Currrent Xfmr ic.vln.012.r_vln.012.p =IMCalcs!$N$45:$O$47DAC Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vln.012.r_vln.012.r =IMCalcs!$K$45:$L$47
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vln.012.r_vln.abc.p =IMCalcs!$G$45:$H$47I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vln.012.r_vln.abc.r =IMCalcs!$D$45:$E$47
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.p_vll.12.p =IMCalcs!$N$41:$O$42Mem1 = S = V x I* ic.vln.abc.p_vll.12.r =IMCalcs!$K$41:$L$42
Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vln.abc.p_vll.ab.p =IMCalcs!$G$40:$H$41A 0.000000 0.000000 0.000000 45.682060 0 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.p_vll.ab.r =IMCalcs!$D$40:$E$41
S B 0.000000 0.000000 0.000000 45.682060 1 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.p_vln.012.p =IMCalcs!$N$37:$O$39C 0.000000 0.000000 0.000000 45.682060 2 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.p_vln.012.r =IMCalcs!$K$37:$L$39
Mem2 = Isum = I + Mem1 ic.vln.abc.p_vln.abc.p =IMCalcs!$G$37:$H$39Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees ic.vln.abc.p_vln.abc.r =IMCalcs!$D$37:$E$39
A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.r_vll.12.p =IMCalcs!$N$33:$O$34Isum B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.r_vll.12.r =IMCalcs!$K$33:$L$34
C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0.000000 0.000000 0.000000 ic.vln.abc.r_vll.ab.p =IMCalcs!$G$32:$H$33ic.vln.abc.r_vll.ab.r =IMCalcs!$D$32:$E$33ic.vln.abc.r_vln.012.p =IMCalcs!$N$29:$O$31ic.vln.abc.r_vln.012.r =IMCalcs!$K$29:$L$31ic.vln.abc.r_vln.abc.p =IMCalcs!$G$29:$H$31ic.vln.abc.r_vln.abc.r =IMCalcs!$D$29:$E$31ic.vln_plusminus.012 =IMCalcs!$K$113:$O$115ic.vln_plusminus.abc =IMCalcs!$D$113:$H$115
Load Flow. Data to be copied when the appropriate macro is run ic.vx.other_012 =IMCalcs!$K$139:$O$147ic.vx.other_abc =IMCalcs!$D$139:$H$147
Given Es, Er Given Er, Sr ic.vx.yy_012 =IMCalcs!$K$128:$O$136Watts VAR VA Power Fact. Watts VAR VA Power Fact. ic.vx.yy_abc =IMCalcs!$D$128:$H$136
Ss 0 0 0 0 Ss 0 0 0 0 JJH =IMCalcs!$C$990Sr 0 0 0 0 Sr 0 0 0 0 lf_results ='Other Calcs'!$F$11:$J$20
Sline 0 0 0 0 Sline 0 0 0 0 m_30 =IMCalcs!$K$676Real Imaginary Mag. Degrees Real Imaginary Mag. Degrees p_30 =IMCalcs!$K$675
Es 0 0 0 0 Es 0 0 0 0 Print_Area =IMCalcs!$A$1:$R$731Er 0 0 0 0 Er 0 0 0 0 sqrt3 =IMCalcs!$K$276
Es-Er 0 0 0 0 Es-Er 0 0 0 0
I 0 0 0 0 I 0 0 0 0
Given Es, Ss Given Er, I
Watts VAR VA Power Fact. Watts VAR VA Power Fact.
Ss 0 0 0 0 Ss 0 0 0 0
Sr 0 0 0 0 Sr 0 0 0 0
Sline 0 0 0 0 Sline 0 0 0 0
Real Imaginary Mag. Degrees Real Imaginary Mag. Degrees
Es 0 0 0 0 Es 0 0 0 0
16 04/08/2023 document.xls
Er 0 0 0 0 Er 0 0 0 0
Es-Er 0 0 0 0 Es-Er 0 0 0 0
I 0 0 0 0 I 0 0 0 0
Given Es, I
Watts VAR VA Power Fact.
Ss 0 0 0 0
Sr 0 0 0 0
Sline 0 0 0 0
Real Imaginary Mag. Degrees
Es 0 0 0 0
Er 0 0 0 0
Es-Er 0 0 0 0
I 0 0 0 0
Fault Calc. Data to be copies when the appropriate macro is run.
Three Phase A phase to ground Phase B to Phase C
In Fault In Fault In Fault
Mag Degrees Mag Degrees Mag Degrees
I-a 0 0 I-a 0 0 I-a 0.000000 0.000000
I-b 0 0 I-b 0 0 I-b 0.000000 0.000000
I-c 0 0 I-c 0 0 I-c 0.000000 0.000000
I-0 0 0 I-0 0 0 I-0 0 0
I-1 0 0 I-1 0 0 I-1 0 0
I-2 0 0 I-2 0 0 I-2 0 0
Other side of Xfmr Other side of Xfmr Other side of Xfmr
Mag Degrees Mag Degrees Mag Degrees
I-a 0 0 I-a 0 0 I-a 0.000000 0.000000
I-b 0 0 I-b 0 0 I-b 0.000000 0.000000
I-c 0 0 I-c 0 0 I-c 0.000000 0.000000
I-0 0 0 I-0 0 0 I-0 0 0
I-1 0 0 I-1 0 0 I-1 0 0
I-2 0 0 I-2 0 0 I-2 0 0
Complex Calc sheet - calculations
Rectangular to Polar conversions Polar to Rectangular conversions
Complex format Mag Degrees Radians Radians Real Imaginary
Q1 3+4i 5.000000 53.130102 0.927295 0.927295 3.000000 4.000000
Q2 3+4i 5.000000 53.130102 0.927295 0.927295 3.000000 4.000000
Math calculations
Restating Data: Real Imaginary Complex Mag Degrees Radians
Q1 3.000000 4.000000 3+4i 5.000000 53.130102 0.927295
Q2 3.000000 4.000000 3+4i 5.000000 53.130102 0.927295
Q2 Conjugate 3.000000 -4.000000 3-4i 5.000000 -53.130102 -0.927295
Performing Calcs: Radians, basic calc Simplified Radians
Q1+Q2 6.000000 8.000000 6+8i 10.000000 53.130102 0.927295
Q1-Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000
Q1xQ2 -7.000000 24.000000 -7+24i 25.000000 106.260205 1.854590 1.854590
Q1/Q2 1.000000 0.000000 1 1.000000 0.000000 0.000000 0.000000
Q1^2 -7.000000 24.000000 -7+24i 25.000000 106.260205 1.854590 1.854590
Sqrt(Q1) 2.000000 1.000000 2+1i 2.236068 26.565051 0.463648 0.463648
1/Q1 0.120000 -0.160000 0.12-0.16i 0.200000 -53.130102 -0.927295 -0.927295
Q1xQ2conjugate 25.000000 0.000000 25 25.000000 0.000000 0.000000 0.000000
1/Q2 0.120000 -0.160000 0.12-0.16i 0.200000 -53.130102 -0.927295 -0.927295
1/Q1 + 1/ Q2 0.240000 -0.320000 0.24-0.32i 0.400000 -53.130102 -0.927295 -0.927295
Q1||Q2 = 1/[1/Q1 + 1/Q2] 1.500000 2.000000 1.5+2i 2.500000 53.130102 0.927295 0.927295
V&I,ABC<>012 sheet - calculations
Vll Vca Real Imaginary a1, a2 constants: Square Root 3
Vab 0.000000 0.000000 a_1 -0.5+0.866025403784439i sqrt3 1.73205080756888
Vca, rect. Vbc 0.000000 0.000000 a_2 -0.5-0.866025403784438i
Vca = -sum 0.000000 0.000000
Vab rectangular 0.000000 0.000000
Vca, polar Vac rectangular 0.000000 0.000000 Complex Format Magnitude Degrees Radians
Vca = -sum 0.000000 0.000000 -0 0.000000 0.000000 0.000000
V conversions, starting with Vln ABC rectangular
Given: Real Imaginary Complex Format Magnitude Degrees Radians
AN 415.000000 425.000000 415+425i 594.011784 45.682060 0.797302
Vl-n BN 415.000000 425.000000 415+425i 594.011784 45.682060 0.797302
CN 415.000000 425.000000 415+425i 594.011784 45.682060 0.797302
Calculated Line to Line, ABC format
AB 0.000000 0.000000 0 0.000000 0.000000 0.000000
Vl-l BC 0.000000 0.000000 0 0.000000 0.000000 0.000000
CA 0.000000 0.000000 0 0.000000 0.000000 0.000000
ABC to 012 conversion Cmplx ABC Data/3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AN 138.333333333333+141.666666666667i 0 414.999999999999+425.0 415.000000 425.000000 594.011784 45.682060 0.797302
Vl-n BN 138.333333333333+141.6 -191.85359886946 53.5202655361292-1 1 2.1316282072803e-13-3. 0.000000 0.000000 0.000000 0.000000 0.000000
CN 138.333333333333+141.6 -191.85359886946 53.5202655361292-1 2 1.98951966012828e-13-3 0.000000 0.000000 0.000000 0.000000 0.000000
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vln ABC polar
17 04/08/2023 document.xls
Given: Magnitude Angle Radians Real Imaginary Complex Format
AN 0.000000 0.000000 0 0 0 0
Vl-n BN 0.000000 0.000000 0.000000 0.000000 0.000000 0
CN 0.000000 0.000000 0.000000 0.000000 0.000000 0
Calculated Line to Line, ABC format
AB 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-l BC 0.000000 0.000000 0.000000 0.000000 0.000000 0
CA 0.000000 0.000000 0.000000 0.000000 0.000000 0
ABC to 012 conversion Cmplx ABC Data/3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AN 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n BN 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CN 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vln 012 rectangular
Given: Real Imaginary Complex Format Magnitude Degrees Radians
0 0.000000 0.000000 0 0.000000 0.000000 0.000000
Vl-n 1 0.000000 0.000000 0 0.000000 0.000000 0.000000
2 0.000000 0.000000 0 0.000000 0.000000 0.000000
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 AN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 0 -0 0 BN 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Calculated Line to Line, ABC format Magnitude Angle Radians Real Imaginary Complex Format
AB 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-l BC 0.000000 0.000000 0.000000 0.000000 0.000000 0
CA 0.000000 0.000000 0.000000 0.000000 0.000000 0
V Line to Line, ABC to 012 Conversion Cmplx ABC Data/3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vln 012 polar
Given: Magnitude Angle Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 AN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 0 -0 0 BN 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Calculated Line to Line, ABC format Magnitude Angle Radians Real Imaginary Complex Format
AB 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-l BC 0.000000 0.000000 0.000000 0.000000 0.000000 0
CA 0.000000 0.000000 0.000000 0.000000 0.000000 0
V Line to Line, ABC to 012 Conversion Cmplx ABC Data/3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vll ABC rectangular
Given: Real Imaginary Complex Format Magnitude Degrees Radians
AB 0.000000 0.000000 0 0.000000 0.000000 0.000000
Vl-l BC 0.000000 0.000000 0 0.000000 0.000000 0.000000
CA 0.000000 0.000000 -0 0.000000 0.000000 0.000000
ABC to 012 conversion Cmfplx ABC Data / 3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA -0 0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
Calculated Line-Line, 012 format Magnitude Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 Data *a_1 *a_2 Complex ABC data Real Imaginary Magnitude Degrees Radians
0 0 AN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 0 -0 0 BN 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CN 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vll ABC polar Comment: V0 was included in calculations in the next 4 conversions below as a check. It should always be zero.
Given: Magnitude Angle Radians Real Imaginary Complex Format
AB 0.000000 0.000000 0 0 0 0
Vl-l BC 0.000000 0.000000 0 0 0 0
CA 0.000000 0.000000 0 0 0 0
ABC to 012 conversion Cmplx ABC Data / 3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
Calculated Line-LIne, 012 format Magnitude Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 Data *a_1 *a_2 Complex ABC data Real Imaginary Magnitude Degrees Radians
0 0 AN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 0 -0 0 BN 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CN 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vll 012 rectangular
Given: Real Imaginary Complex Format Magnitude Degrees Radians
0 0.000000 0.000000 0 0.000000 0.000000 0.000000
Vl-l 1 0.000000 0.000000 0 0.000000 0.000000 0.000000
2 0.000000 0.000000 0 0.000000 0.000000 0.000000
Calculated Line to Neutral, 012 format Magnitude Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 AB 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l 1 0 -0 0 BC 0 0.000000 0.000000 0.000000 0.000000 0.000000
18 04/08/2023 document.xls
2 0 -0 0 CA 0 0.000000 0.000000 0.000000 0.000000 0.000000
0 0 AN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 0 -0 0 BN 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CN 0 0.000000 0.000000 0.000000 0.000000 0.000000
V conversions, starting with Vll 012 polar
Given: Magnitude Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-l 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
Calculated Line to Neutral, 012 format Magnitude Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 AB 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l 1 0 -0 0 BC 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CA 0 0.000000 0.000000 0.000000 0.000000 0.000000
0 0 AN 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 0 -0 0 BN 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CN 0 0.000000 0.000000 0.000000 0.000000 0.000000
I conversions, starting with ABC rectangular
Given: Real Imaginary Complex Format Magnitude Degrees Radians
A 0.000000 0.000000 0 0.000000 0.000000 0.000000
I B 0.000000 0.000000 0 0.000000 0.000000 0.000000
C 0.000000 0.000000 0 0.000000 0.000000 0.000000
ABC to 012 conversion Cmplx ABC Data / 3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
A 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
I B 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
C 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
I conversions, starting with ABC polar
Given: Magnitude Angle Radians Real Imaginary Complex Format
A 0.000000 0.000000 0.000000 0.000000 0.000000 0
I B 0.000000 0.000000 0.000000 0.000000 0.000000 0
C 0.000000 0.000000 0.000000 0.000000 0.000000 0
ABC to 012 conversion Cmplx ABC Data / 3 *a_1 *a_2 Complex Format 012 Data Real Imaginary Magnitude Degrees Radians
A 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
I B 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
C 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
I conversions, starting with 012 rectangular
Given: Real Imaginary Complex Format Magnitude Degrees Radians
0 0.000000 0.000000 0 0.000000 0.000000 0.000000
I 1 0.000000 0.000000 0 0.000000 0.000000 0.000000
2 0.000000 0.000000 0 0.000000 0.000000 0.000000
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n conversions, starting with 012 polar
Given: Magnitude Angle Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 Data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Transformer calculations. First copy in base ABC data, then convert to 012 formats again. Then do the Xfmr conversion math.
Restating Primary Data: Real Imaginary Complex format mag degrees radians
AN 415.000000 425.000000 415+425i 594.011784 45.682060 0.797302
Vl-n BN 415.000000 425.000000 415+425i 594.011784 45.682060 0.797302
CN 415.000000 425.000000 415+425i 594.011784 45.682060 0.797302
AB 0.000000 0.000000 0 0.000000 0.000000 0.000000
Vl-l BC 0.000000 0.000000 0 0.000000 0.000000 0.000000
CA 0.000000 0.000000 -0 0.000000 0.000000 0.000000
A 0.000000 0.000000 0 0.000000 0.000000 0.000000
I B 0.000000 0.000000 0 0.000000 0.000000 0.000000
C 0.000000 0.000000 0 0.000000 0.000000 0.000000
ABC to 012 conversion, rectangular format, then convert to polar
Cmplx ABC Data / 3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AN 138.333333333333+141.666666666667i 0 414.999999999999+425.0 415.000000 425.000000 594.011784 45.682060 0.797302
Vl-n BN 138.333333333333+141.6 -191.85359886946 53.5202655361292-1 1 2.1316282072803e-13-3. 0.000000 0.000000 0.000000 0.000000 0.000000
CN 138.333333333333+141.6 -191.85359886946 53.5202655361292-1 2 1.98951966012828e-13-3 0.000000 0.000000 0.000000 0.000000 0.000000
AB 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l BC 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CA -0 0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
A 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
I B 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
C 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
Voltage Transformer, Wye-Wye
Transformer Effect on: Magnitude Phase shift, degrees
Zero Sequence 1 0
Positve sequence 1 30
Negative sequence 1 -30
Secondary Sequence Quantities Seq. Mag. / VT ratio Degrees Radians Real Imaginary Complex Format
0 594.011784 45.682060 0.797302 415.000000 425.000000 414.999999999999+425.000000000001i
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 4.51404394376271e-13
2 0.000000 0.000000 0.000000 0.000000 0.000000 4.38526345880333e-13
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-l 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
19 04/08/2023 document.xls
I 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 414.999999999999+425.000000000001i AN 415+425.000000000001i 415.000000 425.000000 594.011784 45.682060 0.797302
Vl-n 1 4.51404394376271e-13 -2.2570219718813 -2.25702197188135e- BN 414.999999999999+425.0 415.000000 425.000000 594.011784 45.682060 0.797302
2 4.38526345880333e-13 -2.1926317294016 -2.19263172940166e- CN 414.999999999999+425.0 415.000000 425.000000 594.011784 45.682060 0.797302
0 0 AB 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l 1 0 -0 0 BC 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CA 0 0.000000 0.000000 0.000000 0.000000 0.000000
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Voltage Transformer, Other than wye-wye
Transformer Effect on: Magnitude Phase shift, degrees
Zero Sequence 0 0
Positve sequence 1 30
Negative sequence 1 -30
Secondary Sequence Quantities Mag. / VT Ratio Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-n 1 0.000000 0.000000 0.000000 0.000000 0.000000 4.51404394376271e-13
2 0.000000 0.000000 0.000000 0.000000 0.000000 4.38526345880333e-13
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
Vl-l 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 AN 8.89930740256604e-13 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-n 1 4.51404394376271e-13 -2.2570219718813 -2.25702197188135e- BN -4.44965370128301e-13-1 0.000000 0.000000 0.000000 0.000000 0.000000
2 4.38526345880333e-13 -2.1926317294016 -2.19263172940166e- CN -4.44965370128301e-13+ 0.000000 0.000000 0.000000 0.000000 0.000000
0 0 AB 0 0.000000 0.000000 0.000000 0.000000 0.000000
Vl-l 1 0 -0 0 BC 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 CA 0 0.000000 0.000000 0.000000 0.000000 0.000000
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Current Transformer, Wye secondary
Transformer Effect on: Magnitude Phase shift, degrees
Zero Sequence 1 0
Positve sequence 1 0
Negative sequence 1 0
Secondary Sequence Quantities Seq. Mag / CT Ratio Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex Format 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Current Transformer, DAB Secondary
Transformer Effect on: Magnitude Phase Angle, degrees
Zero Sequence 0 0
Positve sequence 1 30
Negative sequence 1 -30
Secondary Sequence Quantities Seq. Mag. / CT Ratio Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Current Transformer, DAC Secondary
Transformer Effect on: Magnitude Phase Angle, degrees
Zero Sequence 0 0
Positve sequence 1 -30
Negative sequence 1 30
Secondary Sequence Quantities Seq. Mag. / CT Ratio Degrees Radians Real Imaginary Complex Format
0 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 1 0.000000 0.000000 0.000000 0.000000 0.000000 0
2 0.000000 0.000000 0.000000 0.000000 0.000000 0
012 to ABC conversion Complex 012 data *a_1 *a_2 Complex ABC Data Real Imaginary Magnitude Degrees Radians
0 0 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I 1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Mem 1 = S = V x I* Real Imaginary Complex Format Magnitude Degrees Radians
AN 415 425 415+425i 594.011784 45.682060 0.797302
V BN 415 425 415+425i 594.011784 45.682060 0.797302
CN 415 425 415+425i 594.011784 45.682060 0.797302
A 0 0 0 0.000000 0.000000 0.000000
I* B 0 0 0 0.000000 0.000000 0.000000
C 0 0 0 0.000000 0.000000 0.000000
A 0 0 0 0.000000 45.682060 0.797302
S = V x I* B 0 0 0 0.000000 45.682060 0.797302
C 0 0 0 0.000000 45.682060 0.797302
ABC to 012 conversion Cmplx ABC Data / 3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
AN 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
S = V x I* BN 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
CN 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
Mem 2 = Isum = I + Mem1 Real Imaginary Complex Format Magnitude Degrees Radians
A 0 0 0 0.000000 0.000000 0.000000
I sum B 0 0 0 0.000000 0.000000 0.000000
C 0 0 0 0.000000 0.000000 0.000000
20 04/08/2023 document.xls
ABC to 012 conversion Cmplx ABC Data / 3 *a_1 *a_2 Complex 012 Data Real Imaginary Magnitude Degrees Radians
A 0 0 0 0.000000 0.000000 0.000000 0.000000 0.000000
I sum B 0 -0 0 1 0 0.000000 0.000000 0.000000 0.000000 0.000000
C 0 -0 0 2 0 0.000000 0.000000 0.000000 0.000000 0.000000
Load Flow Calculations
Given Es, Er * = conjugate in stated equations
Magnitude Degrees Radians Real Imaginary Complex
Es 0.000000 0.000000 0.000000 0.000000 0.000000 0
Er 0.000000 0.000000 0.000000 0.000000 0.000000 0
Z-line 0.000000 0.000000 0.000000 0.000000 0.000000 0
Esr = Es-Er 0.000000 0.000000 0.000000 0.000000 0.000000 0
I = Esr/Z 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Ss = Es x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sline = dE x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sr = Er x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Given Es, Ss
Magnitude Degrees Radians Real Imaginary Complex
Es 0.000000 0.000000 0.000000 0.000000 0.000000 0
Ss 0.000000 0.000000 0.000000 0.000000 0.000000 0
Z-line 0.000000 0.000000 0.000000 0.000000 0.000000 0
I* = Ss/Es 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I = (Ss/Es)* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Esr = I x Zline 0.000000 0.000000 0.000000 0.000000 0.000000 0
Er = Es-Esr 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sline = Esr x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sr = Er x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Given Es, I
Magnitude Degrees Radians Real Imaginary Complex
Es 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 0.000000 0.000000 0.000000 0.000000 0.000000 0
Zline 0.000000 0.000000 0.000000 0.000000 0.000000 0
I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Ss=Es x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Esr = I x Zline 0.000000 0.000000 0.000000 0.000000 0.000000 0
Er = Es-Esr 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sline = Esr x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sr = Er x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Given Er, Sr
Magnitude Degrees Radians Real Imaginary Complex
Er 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sr 0.000000 0.000000 0.000000 0.000000 0.000000 0
Z-line 0.000000 0.000000 0.000000 0.000000 0.000000 0
I* = Sr/Er 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I = (Ss/Es)* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Esr = I x Zline 0.000000 0.000000 0.000000 0.000000 0.000000 0
Es = Er+Esr 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sline = Esr x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Ss = Es x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Given Er, I
Magnitude Degrees Radians Real Imaginary Complex
Er 0.000000 0.000000 0.000000 0.000000 0.000000 0
I 0.000000 0.000000 0.000000 0.000000 0.000000 0
Zline 0.000000 0.000000 0.000000 0.000000 0.000000 0
I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sr=Er x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Esr = I x Zline 0.000000 0.000000 0.000000 0.000000 0.000000 0
Es = Er+Esr 0.000000 0.000000 0.000000 0.000000 0.000000 0
Sline = Esr x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Ss = Es x I* 0.000000 0.000000 0.000000 0.000000 0.000000 0
Fault Calculations
Magnitude Degrees Radians Real Imaginary Complex
Z0 0.000000 0.000000 0.000000 0.000000 0.000000 0 Add/subtract 30 degrees for Xfmr effect
Z1 0.000000 0.000000 0.000000 0.000000 0.000000 0 p_30 0.866025403784439+0.5i
Z2 0.000000 0.000000 0.000000 0.000000 0.000000 0 m_30 0.866025403784439-0.5i
Zf 0.000000 0.000000 0.000000 0.000000 0.000000 0
3Zf 0.000000 0.000000 0.000000 0.000000 0.000000 0
3Zn 0.000000 0.000000 0.000000 0.000000 0.000000 0
E prefault 0.000000 0.000000 0.000000 0.000000 0.000000 0
Three Phase Fault
Magnitude Degrees Radians Real Imaginary Complex
Ztotal 0.000000 0.000000 0.000000 0.000000 0.000000 0
Io 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
In Fault I-012, repeated *a_1 *a_2 Complex Real Imaginary Magnitude Degrees Radians
Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0.000000 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0.000000 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Across Xfmr I-012, w/xfmr effects *a1 *a2 Complex Real Imaginary Magnitude Degrees Radians
Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0.000000 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
A Phase to Ground
Magnitude Degrees Radians Real Imaginary Complex
Ztotal 0.000000 0.000000 0.000000 0.000000 0.000000 0
Io 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
21 04/08/2023 document.xls
I1 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
In Fault I-012, repeated *a_1 *a_2 Complex Real Imaginary Magnitude Degrees Radians
Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0.000000 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0.000000 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Across Xfmr I-012, w/xfmr effects *a1 *a2 Complex Real Imaginary Magnitude Degrees Radians
Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
B Phase to C Phase
Magnitude Degrees Radians Real Imaginary Complex
Ztotal 0.000000 0.000000 0.000000 0.000000 0.000000 0
Io 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0.000000 0.000000 0.000000 0.000000 0.000000 -0
In Fault I-012, repeated *a_1 *a_2 Complex Real Imaginary Magnitude Degrees Radians
Io 0.000 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0.000 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
I2 -0 0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Across Xfmr I-012, w/xfmr effects *a1 *a2 Complex Real Imaginary Magnitude Degrees Radians
Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000 0.000000
I1 0 -0 0 B 0 0.000000 0.000000 0.000000 0.000000 0.000000
I2 0 -0 0 C 0 0.000000 0.000000 0.000000 0.000000 0.000000
Cell Used to check for Analysis ToolPak Installation
100+100i 100 100