Basler Advanced Electric Calculators

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Purpose of this Spreadsheet

DisclaimerThis spreadsheet presents basic calculations associated with electrical power. In developing this software Basler Electric has attempted to develop accurate calculation methods, but Basler Electricdoes 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 andresults for the specific use or purpose of the user.

Basler Electric

Rev. 1.0; 10/14/02; Initial version, consisting of the following sheets: ComplexCalc, ABC012, Basic Faults, Other Calcs, Graphs, Intermediate Calcs.

Spreadsheet for Performing Complex Number, Sequence Component, and Other Basic Electric System Calculations

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. Theuser 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 litigationregarding this software, the user agrees that the venue shall be the State of Illinois.

Revision Notes:

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.100+100i

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 ashortcut to do a few other basic calculations.

Phone: 618/654-2341 - Fax: 618/654-2351 - Website: http://www.basler.com

Instructions, Notes=> 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 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 tocalculations 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]"

Basler Electric Company, P.O. Box 269, Highland, Illinois USA 62249

Rev. 2.0: 10/18/04; Added more per unit calcs on "Other Calcs" sheet. Added the blank "User's Calcs" sheet. Added "Z,ABC012" sheet. Renamed some sheets.Rev. 3.0: 03/06; Added "Z=OHL" sheet using simplified Carson's equation from Wagner and Evans.

Rev. 1.1; 09/03; ABC012 sheet: gave explanation of xfmr theory, added mag * & / 1.732 calc, revised a few default field views.

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Real Imaginary RectPolar Magnitude Degrees +/-, Conjugate, Clear Copy Data to:

Quantity 1

Quantity 2

Memory 1

Memory 2

Memory 3

Memory 4

Calculate:

Calc Results: Real Imaginary Magnitude Degrees Copy results to:

User Notes:

Basic Complex Number Calculator

100+100i

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 Q1Q2 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 othermessage, or you see "#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.

Q1+Q

M

MMQ

MMQ

QQ

QQ

MQQ

Q1xQ2Q1-Q2

Q1Q

Q1/Q2 Q1^2 Sqrt 1/Q1

Cle

Cle

Cle

Cle

+/- Co

+/- Co

Q1xQ2

Cle

Q1 ||

QQCle

QQCle

M

M M

M

MM

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

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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 0

Vl-n B-N 1

C-N 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 0

I B 1

C 2

A 0

Mem 1 B 1

C 2

A 0

Mem 2 B 1

C 2

oltage Xfmr Effects on V and I Current Xfmr Effects on I

1 CT ratio (N:1): 1

30 for N:5 ratio, N= 5

NOTE: VT Calcs Use ABC-Rect. Data) (CT Calcs Use ABC-Rect. Data)

econdary

uantities Real Imaginary Magnitude Degrees Real Imaginary Magnitude Degrees Copy to:

A-N 0

Vl-n B-N 1

C-N 2

A-B 0

Vl-l B-C 1

C-A 2

A 0

I B 1

C 2

ser Notes:

Basic Sequence Components Calculator and Converter

Pos.Seq. Phase shift; Pri.=>Sec.

Pri./Sec. ph./ph. voltage ratio:

nstructions/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.

100+100iIf 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 theInstructions Sheet for details on enabling Excel's Analysis ToolPak.

M2M1

M2M1

Vl-lVl-n

+/-

+/-

Clear

All Other XfmrConfig.

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.

Mem1 = Vln x I* (using ABC-Rect. data)

Clear

Clear

Clear

A-B-C Phase Quantities 0-1-2 Sequence Quantites

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Series Impedance of Medium Length Overhead Lines

Presently Selected Unit System:

Units

Frequency for impedance calculations: Hz 60

Total Line Length: mile(s) 1Ground Resistivity: Ohm-meters 100

Phase A ohms/mile 0.11720

feet 0.03730

feet 0.00

feet 29.00

Phase B ohms/mile 0.11720

feet 0.03730feet -5.00

feet 25.00

Phase C ohms/mile 0.11720

feet 0.03730

feet 0.00

feet 21.00

Neutral 1 ohms/mile 0.30000

feet 0.02000

feet -2.50

feet 35.00

Neutral 2 ohms/mile 0.30000

feet 0.02000feet -2.00

feet 15.00

100+100i

User Notes:

Horizontal Distance from Ph A (X)

Height above Ground (Y)

Resistance per unit length (Ra)

Conductor Radius (Ds or GMR)Horizontal Distance from Ph A (X)

=>This sheet calculates the series impedance of overhead lines using the processes described i=> The spreadsheet uses a simplifed equation for the ground loop reported by many texts. See t=> If any wire (phase or ground) does not exist, either enter a very high resistance or 0 resistanc

=> The X position of A phase relative to the ground plane is the X reference, so XA is fixed at 0.orientation. There is no requirement on the order of conductors; e.g., phase A could be the loweand is the reference against which the XB, XC, XN1, and XN2 coordinates are measured, and th=> This sheet does not calculate the effective diameter of bundled conductors. This is an easy c=> The spreadsheet will not support more than 2 ground wires, nor does it calculate the mutual i

If the Excel Analysis ToolPak is installed and working properly, the cell to the l

Conductor Radius (Ds or GMR)Horizontal Distance from Ph A (X)


Instructions/Notes:

Note 1: The equations use a simplified equation for the ground loop impedance that is a partial i

Carson's Equations then one should obtain a professionally written package that fully implement

Note 2: This sheet was first provided in Rev 3 of this spreadsheet. The results have not been de

Conductor Radius (Ds or GMR)

Horizontal Distance from Ph A (X)



Conductor Radius (Ds or GMR)



Do you wish to enter data in miles and feet(English); or kilometers and meters (SI-MKS)?

English


Conductor Radius (Ds or GMR)X Dimension; = 0 for A phase



1

1

2

2

3

3

4

HeightAboveGround

English

SI-MKS


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The impedance of the total line length in ohms:

Magnitude Degrees Magnitude Degrees

0.9187 77.68 0.2946 74.96

ZABC = 0.2940 74.90 0.9350 78.08

0.2659 73.52 0.2940 74.92The impedances in the above matrix refer to the ABC domai

Resultant Symmetrical Component Domain Impedances in o


1.4920 76.53 0.0161 -24.23Z012 = 0.0155 -150.77 0.6396 79.28

0.0153 -24.91 0.0132 23.31

Z1, Z2 using K*ln(GMD/GMR) and phase A wire R, GMR

The impedances in the above matrix refer to the 012 domainZ00, Z11, and Z22 are the values commonly referred to as Z

the paper, "Zero Sequence Impedance of Overhead Transmission Lines" (see www.basler.com).e referenced paper for the equation.for that wire. The spreadsheet checks if R


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Conductor X, Y coordinates

Magnitude Degrees X Y

0.2658 73.51 A 0 29

0.2933 74.85 B -5 25

0.9167 77.63 C 0 21impedances below: N1 -2.5 35

N2 -2 15

Separation between conductors (feet).dX dY Total

A-B 5.00 4.00 6.40

A-C 0.00 8.00 8.00

A-N1 2.50 -6.00 6.50hms A-N2 2.00 14.00 14.14

Magnitude 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 10.44

0.6396 79.28 C-N1 2.50 14.00 14.22

0.6441 79.52 C-N2 2.00 6.00 6.32

impedances below. N1-N2 -0.50 20.00 20.01, Z1, and Z2. GMD, Phase Conductors, (feet). 6.90

th instead.

pt any conductorxpected to be at X = 0

ells.

n this sheet, see the

ects results that mimic


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Blank unprotected sheet for user's work


11/20

System Data:

Magnitude DegreesE prefault 0

Magnitude DegreesZ0

Z1

Z2ZfZn

Fault Calculations

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 I-a I-a

I-b I-b I-bI-c I-c I-c

I-0 I-0 I-0

I-1 I-1 I-1I-2 I-2 I-2

Other side of Xfmr Other side of Xfmr Other side of Xfmr Mag Degrees Mag Degrees Mag Degrees

I-a I-a I-aI-b I-b I-b

I-c I-c I-cI-0 I-0 I-0

I-1 I-1 I-1I-2 I-2 I-2

User Notes:

and then converting to ABC quantities.

Basic Fault Calculator

100+100i

I-3ph:

I1 = E/(Z1+Zf)

I-B to C:

I1 = -I2 = E/(Z1+Z2+Zf)

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-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.

Calculate

Clear All

Z-fault

E-prefault

Z-system

30o Lead

I-fault

Zn

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Given Es, Er:


Es 0.0000 Z-line

Er

Given Es, I: Solution is for:

Magnitude Degrees

Es 0.0000 Watts VAR VA Power Fact.I Ss

Sr

Given Er, I: Sline

Magnitude Degrees Real Imaginary Mag. Degrees

Er 0.0000 Es

I Er

Es-Er

Given Es, Ss: I

Magnitude Degrees

Es 0.0000

Watts VARs Coverted Values

Ss

Given Er, Sr:

Magnitude Degrees

Er 0.0000

Watts VARs

Sr

User Notes:

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 C=> 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 fdegrees. 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 a"#VALUE!" messages on this sheet, see the Instructions Sheet for details on enabling Excel's Analysis ToolPak.

Z-base

Ohms PU

Current PUMVA PU

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 anddrag 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.

KV, Line to Gnd

Miscellaneous

X/R to Angle

Converter:

VA/PF to

Watt/VAR

Per Unit / Base Cal

Given Current Value

Given Ohmic Value

Given MVA Value

Basic Voltage Drop & Load Flow Calculator

100+100i

I-base

kV Base, L-L

Three Ph

MVA base, 3ph

Z-line

Es

I, Ss

Er

I, Sr

Calculate

Calculate

Calculate

Calculate

Calculate

Clear Load Flow

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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

Q1 0 0 Phasor Origin (0) 0.000 0.000 Phasor End Point 0.000 0.000 Phasor End P

0 0 Phasor End Point Vbn 0.000 0.000 Phasor Origin (0) V1,ln 0.000 0.000 Phasor Origin

Q2 0 0 Phasor Origin (0) 0.000 0.000 Phasor End Point 0.000 0.000 Phasor End P

0 0 Phasor End Point Vcn 0.000 0.000 Phasor Origin (0) V2,ln 0.000 0.000 Phasor Origin

Calc 0 0 Phasor Origin (0) 0.000 0.000 Phasor End Point 0.000 0.000 Phasor End P

0 0 Phasor End Point Vab 0.000 0.000 Phasor Origin (0) V1,ll 0.000 0.000 Phasor Origin

0.000 0.000 Phasor End Point 0.000 0.000 Phasor End P

Vbc 0.000 0.000 Phasor Origin (0) V2,ll 0.000 0.000 Phasor Origin


Vca 0.000 0.000 Phasor Origin (0) I0 0.000 0.000 Phasor Origin


Ia 0.000 0.000 Phasor Origin (0) I1 0.000 0.000 Phasor Origin


Ib 0.000 0.000 Phasor Origin (0) I2 0.000 0.000 Phasor Origin


Ic 0.000 0.000 Phasor Origin (0)

0.000 0.000 Phasor End Point

GraphsInstructions; 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 n

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 selectab on the screen that pops up, then set the min and max values.

-20

-15

-10

-5

0

5

10

15

20

-20 -10 0 10 20Imaginary

Real

Graph of Q1, Q2, Calc Results from Complex Calc Sheet

Q1 Q2 Calc

-5

-4

-3

-2

-1

0

1

2

3

4

5

-5 -3 -1 1 3 5Imaginary

Real

Graph of Vln, Vll, I in ABC Format

Van Vbn Vcn Vab Vbc

Vca Ia Ib Ic

-5

-4

-3

-2

-1

0

1

2

3

4

5

-5 -3 -1 1 3Imaginary

Real

Graph of Vln, Vll, I in 012 format

V0,ln V1,ln V2,ln

V2,ll I0 I1

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Complex Calc Sheet. Data to be copied when the appropriate macro is run.

Rect. Conversion from polar data Polar Conversion from rect. Data

Real Imaginary Magnitude Degrees

Quantity 1 0.000000 0.000000 0.000000 0.000000

Quantity 2 0.000000 0.000000 0.000000 0.000000

Real Imaginary

Q1 + Q2 0.000000 0.000000 0.000000 0.000000 +/- Q1 0.000000 0

Q1 - Q2 0.000000 0.000000 0.000000 0.000000 Q1 Conjugate 0.000000 0

Q1 x Q2 0.000000 0.000000 0.000000 0.000000 +/- Q2 0.000000 0

Q1 / Q2 0.000000 0.000000 0.000000 0.000000 Q2 Conjugate 0.000000 0

Q1^2 0.000000 0.000000 0.000000 0.000000 New Q1 0.000000 0

Sqrt(Q1) 0.000000 0.000000 0.000000 0.000000 Q1Q2

1/Q1 0.000000 0.000000 0.000000 0.000000 New Q2 0.000000 0

Q1 x Q2* 0.000000 0.000000 0.000000 0.000000

Q1 || Q2 0.000000 0.000000 0.000000 0.000000

V&I,ABC012 Sheet. Data to be copied when the appropriate macro is run.

Vl-n ABC rectangular conversions A-B-C Quantities

Real Imaginary Magnitude Degrees Real Imaginary

A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-n ABC polar conversions A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-n 012 rectangular conversions A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-n 012 polar conversions A-B-C Quantities Real Imaginary Magnitude Degrees Real Imaginary

A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-l ABC rectangular conversions A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-l ABC polar conversions A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-l 012 rectangular conversions A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Vl-l 012 polar conversions A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

I ABC rectangular conversions A-B-C Quantities


A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

I ABC polar conversions A-B-C Quantities


A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

I 012 rectangular conversions A-B-C Quantities


A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

This sheet contains intermediate calculations for display on other pages.

14 8/5/2012


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C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

I 012 polar conversions A-B-C Quantities


A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

+/- Vl-n A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

+/- Vl-l A-B-C Quantities


A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

+/- I A-B-C Quantities


A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Voltage Xfmr

Wye-Wye Real Imaginary Magnitude Degrees Real Imaginary

A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Voltage Xfmr

Other Real Imaginary Magnitude Degrees Real Imaginary

A-N 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Vl-n B-N 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-N 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A-B 0.000000 0.000000 0.000000 0.000000 0 0.000000 0Vl-l B-C 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C-A 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Current Xfmr

Wye Sec. Real Imaginary Magnitude Degrees Real Imaginary

A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Current Xfmr

DAB Sec. Real Imaginary Magnitude Degrees Real Imaginary

A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Currrent Xfmr

DAC Real Imaginary Magnitude Degrees Real Imaginary

A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

I B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Mem1 = S = V x I*


A 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

S B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Mem2 = Isum = I + Mem1

Real Imaginary Magnitude Degrees Real ImaginaryA 0.000000 0.000000 0.000000 0.000000 0 0.000000 0

Isum B 0.000000 0.000000 0.000000 0.000000 1 0.000000 0

C 0.000000 0.000000 0.000000 0.000000 2 0.000000 0

Load Flow. Data to be copied when the appropriate macro is run

Given Es, Er Given Er, Sr

Watts VAR VA Power Fact. Watts VAR VA Power Fa

Ss 0 0 0 0 Ss 0 0 0

Sr 0 0 0 0 Sr 0 0 0

Sline 0 0 0 0 Sline 0 0 0

Real Imaginary Mag. Degrees Real Imaginary Mag. Degrees

Es 0 0 0 0 Es 0 0 0

Er 0 0 0 0 Er 0 0 0

Es-Er 0 0 0 0 Es-Er 0 0 0

I 0 0 0 0 I 0 0 0

Given Es, Ss Given Er, I

Watts VAR VA Power Fact. Watts VAR VA Power Fa

Ss 0 0 0 0 Ss 0 0 0

Sr 0 0 0 0 Sr 0 0 0

Sline 0 0 0 0 Sline 0 0 0

Real Imaginary Mag. Degrees Real Imaginary Mag. Degrees

Es 0 0 0 0 Es 0 0 0

Er 0 0 0 0 Er 0 0 0

Es-Er 0 0 0 0 Es-Er 0 0 0

I 0 0 0 0 I 0 0 0

Given Es, I

Watts VAR VA Power Fact.

Ss 0 0 0 015 8/5/2012


16/20

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 De

I-a 0 0 I-a 0 0 I-a 0.000000

I-b 0 0 I-b 0 0 I-b 0.000000

I-c 0 0 I-c 0 0 I-c 0.000000

I-0 0 0 I-0 0 0 I-0 0

I-1 0 0 I-1 0 0 I-1 0

I-2 0 0 I-2 0 0 I-2 0

Other side of Xfmr Other side of Xfmr Other side of Xfmr

Mag Degrees Mag Degrees Mag De

I-a 0 0 I-a 0 0 I-a 0.000000

I-b 0 0 I-b 0 0 I-b 0.000000

I-c 0 0 I-c 0 0 I-c 0.000000

I-0 0 0 I-0 0 0 I-0 0

I-1 0 0 I-1 0 0 I-1 0

I-2 0 0 I-2 0 0 I-2 0

Complex Calc sheet - calculations

Rectangular to Polar conversions Polar to Rectangular conversions

Complex format Mag Degrees Radians Radians Real Imaginary

Q1 0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

Q2 0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

Math calculations

Restating Data: Real Imaginary Complex Mag Degrees Radians

Q1 0.000000 0.000000 0 0.000000 0.000000 0.000000

Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000

Q2 Conjugate 0.000000 0.000000 0 0.000000 0.000000 0.000000Performing Calcs: Radians, basic calc Simplified Radians

Q1+Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000

Q1-Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000

Q1xQ2 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

Q1/Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

Q1^2 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

Sqrt(Q1) 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

1/Q1 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

Q1xQ2conjugate 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

1/Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

1/Q1 + 1/ Q2 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

Q1||Q2 = 1/[1/Q1 + 1/Q2] 0.000000 0.000000 0 0.000000 0.000000 0.000000 0.000000

V&I,ABC012 sheet - calculations

Vll Vca Real Imaginary a1, a2 constants: Square Root 3

Vab 0.000000 0.000000 a_1 -0.5+0.866025403784439i sqrt3 1.732050808

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

Given: Real Imaginary Complex Format Magnitude Degrees Radians

AN 0.000000 0.000000 0 0.000000 0.000000 0.000000

Vl-n BN 0.000000 0.000000 0 0.000000 0.000000 0.000000

CN 0.000000 0.000000 0 0.000000 0.000000 0.000000

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

AN 0 0 0 0.000000 0.000000 0.000000

Vl-n BN 0 0 0 1 0 0.000000 0.000000 0.000000

CN 0 0 0 2 0 0.000000 0.000000 0.000000

AB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 0.000000 0.000000 0.000000

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

AN 0 0 0 0.000000 0.000000 0.000000

Vl-n BN 0 0 0 1 0 0.000000 0.000000 0.000000

CN 0 0 0 2 0 0.000000 0.000000 0.000000

V conversions, starting with Vln ABC polar

V conversions, starting with Vln ABC rectangular

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AB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 0.000000 0.000000 0.000000


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 Magnitude0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 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

AB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 0.000000 0.000000 0.000000


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

0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 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 MagnitudeAB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 0.000000 0.000000 0.000000


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

AB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 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

0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 0.000000 0.000000 0.000000

Comment: V0 was included in calculations in the next 4


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

AB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 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

0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 0.000000 0.000000 0.000000


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


0 0 AB 0 0.000000 0.000000 0.000000

Vl-l 1 0 0 0 BC 0 0.000000 0.000000 0.000000

2 0 0 0 CA 0 0.000000 0.000000 0.000000

0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 0.000000 0.000000 0.000000

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


0 0 AB 0 0.000000 0.000000 0.000000

V conversions, starting with Vln 012 rectangular

V conversions, starting with Vll 012 polar

V conversions, starting with Vln 012 polar

V conversions, starting with Vll ABC rectangular

V conversions, starting with Vll ABC polar

V conversions, starting with Vll 012 rectangular

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Vl-l 1 0 0 0 BC 0 0.000000 0.000000 0.000000

2 0 0 0 CA 0 0.000000 0.000000 0.000000

0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 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 0.000000C 0.000000 0.000000 0 0.000000 0.000000 0.000000


A 0 0 0 0.000000 0.000000 0.000000

I B 0 0 0 1 0 0.000000 0.000000 0.000000

C 0 0 0 2 0 0.000000 0.000000 0.000000


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 Dat Real Imaginary Magnitude

A 0 0 0 0.000000 0.000000 0.000000 I B 0 0 0 1 0 0.000000 0.000000 0.000000

C 0 0 0 2 0 0.000000 0.000000 0.000000


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


0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000


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

0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000

Restating Primary Data: Real Imaginary Complex format mag degrees radians

AN 0.000000 0.000000 0 0.000000 0.000000 0.000000

Vl-n BN 0.000000 0.000000 0 0.000000 0.000000 0.000000

CN 0.000000 0.000000 0 0.000000 0.000000 0.000000

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

AN 0 0 0 0.000000 0.000000 0.000000

Vl-n BN 0 0 0 1 0 0.000000 0.000000 0.000000

CN 0 0 0 2 0 0.000000 0.000000 0.000000

AB 0 0 0 0.000000 0.000000 0.000000

Vl-l BC 0 0 0 1 0 0.000000 0.000000 0.000000

CA 0 0 0 2 0 0.000000 0.000000 0.000000

A 0 0 0 0.000000 0.000000 0.000000

I B 0 0 0 1 0 0.000000 0.000000 0.000000

C 0 0 0 2 0 0.000000 0.000000 0.000000

Transformer Effect on: Magnitude hase 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 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

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


0 0 AN 0 0.000000 0.000000 0.000000

Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 0.000000 0.000000 0.000000

0 0 AB 0 0.000000 0.000000 0.000000

Vl-l 1 0 0 0 BC 0 0.000000 0.000000 0.000000

2 0 0 0 CA 0 0.000000 0.000000 0.000000

0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000


Zero Sequence 0 0

Positve 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

I conversions, starting with ABC polar

I conversions, starting with 012 rectangular

Vl-n conversions, starting with 012 polar

Voltage Transformer, Other than wye-wye

Voltage Transformer, Wye-Wye

Transformer calculations. First copy in base ABC data, then convert to 012 formats again. Then do the Xfmr conversion math.

I conversions, starting with ABC rectangular

18 8/5/2012


19/20

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

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


0 0 AN 0 0.000000 0.000000 0.000000 Vl-n 1 0 0 0 BN 0 0.000000 0.000000 0.000000

2 0 0 0 CN 0 0.000000 0.000000 0.000000

0 0 AB 0 0.000000 0.000000 0.000000

Vl-l 1 0 0 0 BC 0 0.000000 0.000000 0.000000

2 0 0 0 CA 0 0.000000 0.000000 0.000000

0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000


Zero Sequence 1 0

Positve sequence 1 0Negative 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

0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000

Transformer Effect on: Magnitude hase Angle, degrees

Zero Sequence 0 0Positve 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


0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000

Transformer Effect on: Magnitude hase 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


0 0 A 0 0.000000 0.000000 0.000000

I 1 0 0 0 B 0 0.000000 0.000000 0.000000

2 0 0 0 C 0 0.000000 0.000000 0.000000

Real Imaginary Complex Format Magnitude Degrees Radians

AN 0 0 0 0.000000 0.000000 0.000000

V BN 0 0 0 0.000000 0.000000 0.000000

CN 0 0 0 0.000000 0.000000 0.000000

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 0.000000 0.000000

S = V x I* B 0 0 0 0.000000 0.000000 0.000000

C 0 0 0 0.000000 0.000000 0.000000


AN 0 0 0 0.000000 0.000000 0.000000

S = V x I* BN 0 0 0 1 0 0.000000 0.000000 0.000000

CN 0 0 0 2 0 0.000000 0.000000 0.000000

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


A 0 0 0 0.000000 0.000000 0.000000

I sum B 0 0 0 1 0 0.000000 0.000000 0.000000

C 0 0 0 2 0 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


Es 0.000000 0.000000 0.000000 0.000000 0.000000 0

Ss 0.000000 0.000000 0.000000 0.000000 0.000000 0

Current Transformer, Wye secondary

Current Transformer, DAB Secondary

Current Transformer, DAC Secondary

Mem 1 = S = V x I*

Mem 2 = Isum = I + Mem1

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20/20

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 ComplexEs 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


Er 0.000000 0.000000 0.000000 0.000000 0.000000 0Sr 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


Er 0.000000 0.000000 0.000000 0.000000 0.000000 0

I 0.000000 0.000000 0.000000 0.000000 0.000000 0Zline 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


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


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 0.000000I2 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

Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000

I1 0.000000 0 0 B 0 0.000000 0.000000 0.000000 0.000000

I2 0.000000 0 0 C 0 0.000000 0.000000 0.000000 0.000000

Across Xfmr I-012, w/xfmr effects *a1 *a2 Complex Real Imaginary Magnitude Degrees

Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000

I1 0 0 0 B 0 0.000000 0.000000 0.000000 0.000000

I2 0.000000 0 0 C 0 0.000000 0.000000 0.000000 0.000000

A Phase to Ground


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


Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000

I1 0.000000 0 0 B 0 0.000000 0.000000 0.000000 0.000000

I2 0.000000 0 0 C 0 0.000000 0.000000 0.000000 0.000000


Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000

I1 0 0 0 B 0 0.000000 0.000000 0.000000 0.000000

I2 0 0 0 C 0 0.000000 0.000000 0.000000 0.000000

B Phase to C Phase


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


Io 0.000 A 0 0.000000 0.000000 0.000000 0.000000

I1 0.000 0 0 B 0 0.000000 0.000000 0.000000 0.000000

I2 0 0 0 C 0 0.000000 0.000000 0.000000 0.000000


Io 0.000000 A 0 0.000000 0.000000 0.000000 0.000000

I1 0 0 0 B 0 0.000000 0.000000 0.000000 0.000000

I2 0 0 0 C 0 0.000000 0.000000 0.000000 0.000000

Cell Used to check for Analysis ToolPak Installation

Date post:	05-Apr-2018
Category:	Documents
Upload:	ramakrishna
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Basler Advanced Electric Calculators

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