XfrmDiffAnalysis_R03

8/14/2019 XfrmDiffAnalysis_R03

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Basler Electric Company, 12570 State Route 143, Highland, Illinois 62249-1074 USA

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

Revision Notes:

Rev. D.1; 03/26/03; Request for comments

Rev. D.2; DDAB calc error fixed.

Rev. 0.1; Initial release, including a couple formatting updates relative to rev 0 as used at Megger Confe

Rev. 0.2; Fixed "Iop>MPU?" check, cells G31/G32, 87T-Diff Calcs-Isec sheet; revised disclaimer wordin

Rev. 0.3; Added BE1-11twhere applicable and dual slope support. 9/20/12

=> See each sheet for instructions specific to that sheet.=> The spreadsheets have data already entered in. This is for information only, so one can see the type

=> On common 1024x768 screens, most sheets are best viewed at 75% zoom. If one has a higher resol

=> See papers on the Basler Electric Web site for additional information and transformer differential theo

=> Send comments on this spreadsheet to "[email protected]"

By use of this program, the user agrees that Basler Electric disclaims all warranties of noninfringement o

user assumes the entire risk as to the quality and performance of the software. In no event will Basler El

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

Purpose of this Spreadsheet

This spreadsheet is intended to assist in the analysis of Basler Differential Relays in both commissioning1) Introduction

2) 87T-Testing == For testing the relay with two single phase current sources.

3) 87T-Diff Calc-Isec == For determining relay response to an arbitrary injected current.

4) CDS - BE1-11tTesting == For testing the CDS220, 240 or BE1-11twith two single phase current so

5) CDS220-Diff Calcs-Isec == For determining relay response to an arbitrary injected current.

6) CDS220-BE1-11t-Diff Calcs-Ipri == For determining relay response to an arbitrary primary current. I

7) BE1-11t-Diff Calcs-Isec == For determining relay response to an arbitrary injected current..

8) CDS240-Diff Calcs-Isec == For determining relay response to an arbitrary injected current.

9) Dual Slope Testing - For testing and graphing the % restrained dual slope characteristic.

10) User == A blank sheet for the user to keep job notes and calcs on.

Spreadsheet for Testing and Analysis of the Basler Current

Disclaimer

This spreadsheet presents basic calculations associated with current distribution in electric power transf

purported to be complete or comprehensive. In developing this software Basler Electric has attempted to

free from bugs, errors, or other program limitations. Users are encouraged to use good judgment with th

and results for the specific use or purpose of the user.

Instructions, Notes


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ence, 06/27/05

. 11/22/05

of information expected. Update all information and settings appropriately.

ution monitor, one might raise the zoom control to 100% for clearer viewing.

ry

f third party rights, quality, performance, merchantability, or fitness for a particular purpose. The

ctric be liable for any indirect, special, or consequential damages. In the event of any litigation

testing and post fault event analysis. The sheets and their purpose are:

urces.

cludes CT connection and ratio effects.

Differential Relays, BE1-87T, BE1-CDS2x0 and BE1-11t

rmers, but users should be aware the specific applications were intended, so the results cannot

develop accurate calculation methods, but Basler Electric does not warrant that the software is

results, and consult with a Basler Electric representative to determine the accuracy of the data


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This sheet predicts targets on BE1-87T when testing with two single phase test sets, with the relay set at user's final settings.

RELAY SETTINGS (Red range cell flags bad data)

Nominal Amp Rating of Inputs 5% Slope 25%

Minimum Pick-Up (MPU) 0.35

Input 1 Tap 2

Input 1 Compensation Jumper d1Input 2 Tap 6

Input 2 Compensation Jumper y

MULTIPLES OF TAP (MOT) FOR TEST 0.87

INITIAL CURRENT INJECTION VALUE

Initially inject into Input 1 (amps): 1.74 < 0


TEST SET CONNECTIONS AND EXPECTED TARGETS

Intermediate CalculatioTest # 1 (87PH-A) Relay Ph A Pol Relay Ph B Pol Relay Ph C Pol Relay NonPol When increasing input 1

Relay Input 1: Test Set 1 Polarity N.C. N.C. Test Set 1 NonPol. When decreasing input

Relay Input 2: Test Set 2 Polarity Test Set 2 NonPol. N.C. N.C. When increasing input 2

Phases that give targets at trip level: Phase A Phase B When decreasing input

Test # 2 (87PH-B) Relay Ph A Pol Relay Ph B Pol Relay Ph C Pol Relay NonPol When increasing input 1

Relay Input 1: N.C. Test Set 1 Polarity N.C. Test Set 1 NonPol. When decreasing Input

Relay Input 2: N.C. Test Set 2 Polarity Test Set 2 NonPol. N.C. When increasing input 2

Phases that give targets at trip level: Phase B Phase C When decreasing Input

Test # 3 (87PH-C) Relay Ph A Pol Relay Ph B Pol Relay Ph C Pol Relay NonPol

Relay Input 1: N.C. N.C. Test Set 1 Polarity Test Set 1 NonPol.

Relay Input 2: Test Set 2 NonPol. N.C. Test Set 2 Polarity N.C.

Phases that give targets at trip level: Phase A Phase C

TRIP OCCURS AT THESE CURRENTS: Nominal +/- Test

Increasing Input 1 current: 2.44 0.246 2.19 2.69

Decreasing Input 1 current: 1.04 0.162 0.88 1.20

Increasing Input 2 current: 7.32 0.539 6.78 7.86

Decreasing Input 2 current: 3.12 0.287 2.83 3.41

BE1-87T, 3 Phase, Testing With 2 Single Phase Current Sources

-- Enter data in yellow fields only. Range cell becomes red if out of range data is entered.

-- Input "1" and "2" are used for reference, but each can refer to any of the relay's 3 phase inputs. There up to three 3 phase inputs on a BE1-87T.

-- This sheet does not support back to back delta compensation (e.g., DAB-DAC and DAC-DAB compensation jumper configurations).

Range

5 or 115-60, steps of 5

Normally 0.35

Connect polarity/non-polarity of the two test set sources to the indicated phase on relay, or the relay common non-polarity as

Range

Suggest repeating test at 0, 1, 3, and 5 MOT. Selecting 0 MOT means the spreadsheet gives min. pickup. Higher MOT

might be tested but max. continuous rating of relay is 20A.

2.0-8.9 or 0.4-1.78

Y, D1, D22.0-8.9 or 0.4-1.78

Y, D1, D2


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RELAY SETTINGS (Red range cell flags bad data) Range Current Inputs, Per Unit of Tap: Mag. Angle

Nominal Amp Rating of Inputs 5 5 or 1 Input 1, Ph A 0.550 0

% Slope 25% 15-60, steps of 5 Input 1, Ph B 0.550 -120

Minimum Pickup (MPU), per unit 0.35 See Cell Comment Input 1, Ph C 0.550 120

Input 1 Tap 2 2.0-8.9 or 0.4-1.78 Input 2, Ph A 0.500 150

Input 1 Compensation Jumper Y Y, D1, D2 Input 2, Ph B 0.500 30

Input 2 Tap 6 2.0-8.9 or 0.4-1.78 Input 2, Ph C 0.500 -90

Input 2 Compensation Jumper d2 Y, D1, D2 Restraint, with Compensation Jumper Effects

Input 1, A Comparator 0.550 0

Input 1, B Comparator 0.550 -120INJECTED CURRENT AT INPUT 1 Input 1, C Comparator 0.550 120

(Single phase entry sufficient) Mag. Angle Input 2, A Comparator 0.866 180

Current @ Input 1, Ph A 1.1 0 Input 2, B Comparator 0.866 60

Current @ Input 1, Ph B 1.1 -120 Input 2, C Comparator 0.866 -60

Current @ Input 1, Ph C 1.1 120 Effective Restraint (Largest Restraint x Slope)

A Comparator 0.217

Mag. Angle B Comparator 0.217

Current @ Input 2, Ph A 3 150 C Comparator 0.217

Current @ Input 2, Ph B 3 30 Mag. Operate Current (Restraint 1 - Restraint 2)

Current @ Input 2, Ph C 3 -90 A Comparator 0.316

B Comparator 0.316

C Comparator 0.316

Trip? (I Op>MPU? & I Op>Restraint?)

A Comparator No

B Comparator No

C Comparator No

BE1-87T, 3 Phase, Differential Calculations, Arbitrary Isec.

This sheet predicts tripping of a BE1-87T for a set of two user-defined CT secondary current inputs

INJECTED CURRENTS AT INPUT 2

-- Enter data in yellow fields only. Blue cells are calculated by the spreadsheet.

-- Input 1 and 2 are used for reference; each can refer to any of the relay's 3-phase inputs. There up to three 3-phase inputs on a BE1-87T.

-- The spreadsheet reproduces the differential calculations of the BE1-87T to assist in determining if a trip should occur for a given test current.

-- Range cells will be green normally, but turn red to flag out-of-range settings.-- Recall the relay expects current reversal across the xfmr, so balanced currents are shifted by 150, 180, or -150 degrees in most applications. For

instance, for balanced 3 phase current, current at Input 2 should be shifted by 180deg if jumpers are Y-Y, +150deg if jumpers are Y-D1, and -150deg if

jumpers are Y-D2.


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This sheet predicts targets on the BE1-CDS2x0 or BE1-11t when testing with two single phase test sets, with the relay set at u

In

RELAY SETTINGS 87

Nominal Amp Rating of Inputs 5 87

Use Max. or Avg. Restraint? M In

87Phase Min Pickup (MPU), per unit 0.35 In

Phase % Slope 1 15% Tr

Phase % Slope 2, 60% W

2nd Slope Pickup (MPU), (0 = disable) 4 W

Input 1 Tap 2 W

Input 1 Compensation Y W

Input 1 "Ground Source" selected? N W

Input 2 Tap 2.887 W

Input 2 Compensation dab W

Input 2 "Ground Source" selected? n W

87Gnd Min Pickup (MPU), per unit 0.5 87

87Gnd % Slope 20% P

Which input # is Ig is compared to? 2 Tr

Phase CT Ratio for Input 2 300 W

Ground CT Ratio 100 W

87N Tap, Ig Input side 6.00 W87N Ta , Phase In ut side 2.00 WMULTIPLES OF TAP (MOT) FOR TEST 5 W

87PHASE TEST WW

W

INITIAL CURRENT INJECTION VALUE FOR PHASE TEST


Initially inject into Input 2 (amps): 25.000 < 180 PHASE DIFFEREN

TEST SET CONNECTIONS AND EXPECTED TARGETS TRIP OCCURS AT

Test # 1 (87PH-A) Relay Ph A Pol. Relay Ph B Pol. Relay Ph C Pol. Relay NonPol. Increasing Input 1 cRelay Input 1: Test Set 1 Pol. N.C. Test Set 1 NonPol. N.C. Decreasing Input 1

Relay Input 2: Test Set 2 Pol. N.C. N.C. Test Set 2 NonPol. Increasing Input 2 c

Phases that give targets at trip level: Phase A Phase C Decreasing Input 2 c

Test # 2 (87PH-B) Relay Ph A Pol. Relay Ph B Pol. Relay Ph C Pol. Relay NonPol. GROUND DIFFERERelay Input 1: Test Set 1 NonPol. Test Set 1 Pol. N.C. N.C. TRIP OCCURS AT

Relay Input 2: N.C. Test Set 2 Pol. N.C. Test Set 2 NonPol.

Phases that give targets at trip level: Phase A Phase B Increasing Input Ig c

Test # 3 (87PH-C) Relay Ph A Pol. Relay Ph B Pol. Relay Ph C Pol. Relay NonPol. Decreasing Input IgRelay Input 1: N.C. Test Set 1 NonPol. Test Set 1 Pol. N.C. Increasing Input 2 c

Relay Input 2: N.C. N.C. Test Set 2 Pol. Test Set 2 NonPol. Decreasing Input 2

Phases that give targets at trip level: Phase B Phase C

87N TEST INITIAL CURRENT INJECTION VALUE AND TEST SET CONNECTION

Initially inject into Input Ig (amps): 30.00

Initially inject into Input 2, any phase, but 180 degrees out of phase with Ig: 10.00

15-60, steps of 1

0.1-20

Messages appear below if certain

unsupported settings are selected

Y, N

0.10-1.00

15-60, steps of 1

N to 1

N to 1

1 or 2

Jumper non-polarities on each relay input together. Connect polarity/non-polarity of the two test set sources to the indicated

See cell notes above

BE1-CDS, BE1-11t Testing With 2 Single Phase Current Sources

Range

5 or 1

See cell notes

2.0-20 or 0.4-4

Y, DAB, DAC

BE CAREFU

-- Enter data in yellow fields only. Range cells become red if bad data is entered. Blue cells are calculated by the spreadsheet.

-- While most directly applicable to the CDS220 and BE1-11t, this spreadsheet can be used to analyze the CDS240 if one mentally compensates for th

-- The spreadsheet expects one to understand compensation that the relay is using and enter net compensation, not the Xfmr or CT configuration. Ref

M or A

0.10-1.00

15-60, steps of 1

2.0-20 or 0.4-4

Y, DAB, DAC

Y, N

Suggest repeating test at 0, 1, 3, and 5 MOT. Selecting 0 MOT means the spreadsheet gives min. pickup. Higher MOT

might be tested but max. continuous rating of relay is 20A.


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This sheet predicts tripping of a BE1-CDS220 for a set of arbitrary user-defined CT secondary current inputs

RELAY SETTINGS Range CURRENTS AT RELAY INPUT 1

Nominal Amp Rating of Inputs 5 5 or 1 Mag. AngleRestr. = Max. or Avg. Mult. of Tap? M M or A Input 1, Ph A 8 0.0 A Comparator

87Phase Min Pickup (MPU), per unit 0.25 0.10-1.00 Input 1, Ph B 0 0.0 B Comparator

Phase % Slope 35% 15-60, steps of 1 Input 1, Ph C 8 180.0 C Comparator

Input 1 Tap 4 2.0-20 or 0.4-4 CURRENTS AT RELAY INPUT 2 Gnd Comparator

Input 1 Compensation (see IM Chpt 3) y Y, DAB, DAC Mag. AngleInput 1 "Ground Source" selected? n Y, N Input 2, Ph A 7.62 180.0Input 2 Tap 2.2 2.0-20 or 0.4-4 Input 2, Ph B 0 30.0Input 2 Compensation (see IM Chpt 3) dab Y, DAB, DAC Input 2, Ph C 0 0.0 A Comparator

Input 2 "Ground Source" selected? n Y, N CURRENT AT RELAY INPUT IG B Comparator

87Gnd Min Pickup (MPU), per unit 0.2 0.10-1.00 Mag. Angle C Comparator

87Gnd % Slope 20% 15-60, steps of 1 Current @ Input Ig 15.24 0.0 Gnd ComparatorWhich input # is Ig compared to? 2 1, 2. Input Current/Tap ( = current in MOT)Phase CT Ratio for Input 2 400 N to 1 Mag. AngleGround CT Ratio 200 N to 1 Input 1, Ph A 2.000 0.0

87N Tap, Ig Input side 4.00 See cell notes Input 1, Ph B 0.000 0.0 A Comparator

87N Tap, Phase Input side 2.00 See above Input 1, Ph C 2.000 180.0 B Comparator

Input 2, Ph A 2.000 180.0 C Comparator

Input 2, Ph B 0.000 0.0 Gnd Comparator

Input 2, Ph C 2.000 0.0

Input Ig / 87N Ig tap 3.810 0.0

3Io, Input 2 / 87N Ph tap 3.810 180.0

Phase Currents after delta/wye compensation 87Ph-A

Mag. Angle 87Ph-B

Input 1, A Comparator 2.000 0.0 87Ph-C

Input 1, B Comparator 0.000 0.0 87NInput 1, C Comparator 2.000 180.0

Input 2, A Comparator 2.000 180.0

Input 2, B Comparator 0.000 0.0

Input 2, C Comparator 2.000 0.0

BE1-CDS220 Differential Calculations for Arbitrary Isec

Trip? (Op>MPU?

Effective Restrain

Mag. Operate Cur

-- Enter data in yellow fields only, entering only data listed in the "Range" cell. Range cells become red if bad data is entered.

-- The spreadsheet expects one to understand compensation that the relay is using and enter net compensation, not the Xfmr configuration. See IM chapte

-- This sheet is for analyzing the effect of CT secondary currents being injected into the relay. This is not analyzing effect of primary current on relay. Note

entered in this spreadsheet (except for the purpose of calculating the 87N Tap).

-- This sheet supports DAC, DAB, and "Ground Source" compensations of the CDS220.

-- Recall the relay expects current reversal across the xfmr, so balanced currents are shifted by 150, 180, or -150 degrees in most applications. For instanphase current, current at Input 2 should be shifted by 180deg if xfmr is Y-Y, +150deg for a DAB-Y xfmr, and -150deg for a DAC-Y xfmr.

Mag. Restraint Cu


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This sheet predicts tripping of a BE1-CDS220 for a set of arbitrary user-defined primary (i.e., line) current inputs

RELAY SETTINGS Range PRIMARY CURRENTS AT INPUT 1

Nominal Amp Rating of Inputs 5 5 or 1 Mag. AngleRestr. = Max. or Avg. Mult. of Tap? M M or A Input 1, Ph A 120 0.0 A Comparator

87Phase Min Pickup (MPU), per unit 0.25 0.10-1.00 Input 1, Ph B 120 -120.0 B Comparator

Phase % Slope 35% 15-60, steps of 1 Input 1, Ph C 120 120.0 C ComparatorInput 1 CT Ratio 40 N to 1, Incr. of 1 PRIMARY CURRENTS AT INPUT 2 Gnd Comparator

Input 1 CT Connection y Y, DAB, DAC Input 2, Ph A 1200 150.0Input 1 Tap 2.67 2.0-20 or 0.4-4 Input 2, Ph B 1200 30.0Input 1 Compensation (see IM Chpt 3) Y Y, DAB, DAC Input 2, Ph C 1200 -90.0Input 1 "Ground Source" selected? n Y, N CURRENT AT IG (GROUND INPUT) A ComparatorInput 2 CT Ratio 240 N to 1, Incr. of 1 Current @ Input Ig 0 150.0 B Comparator

Input 2 CT Connection y Y, DAB, DAC CT Secondary Currents C Comparator

Input 2 Tap 4.44 2.0-20 or 0.4-4 Input 1, Ph A 3.000 0.0 Gnd ComparatorInput 2 Compensation (see IM Chpt 3) dab Y, DAB, DAC Input 1, Ph B 3.000 -120.0

Input 2 "Ground Source" selected? n Y, N Input 1, Ph C 3.000 120.087Gnd Min Pickup (MPU), per unit 0.2 0.10-1.00 Input 2, Ph A 5.000 150.0

87Gnd % Slope 20% 15-60, steps of 1 Input 2, Ph B 5.000 30.0 A Comparator

Which input # is Ig compared to? 2 1, 2 Input 2, Ph C 5.000 -90.0 B ComparatorGround CT Ratio 80 N to 1, Incr. of 1 Input Ig 0 150.0 C Comparator

87N Tap, Ig Input side 6.00 See cell notes Input Current/Tap ( = current in MOT) Gnd Comparator

87N Tap, Phase Input side 2.00 See above Input 1, Ph A 1.124 0.000

Input 1, Ph B 1.124 -120.000

Input 1, Ph C 1.124 120.000

Input 2, Ph A 1.126 150.000 87Ph-A

Input 2, Ph B 1.126 30.000 87Ph-B

Input 2, Ph C 1.126 -90.000 87Ph-C

Input Ig / 87N Ig tap 0.000 150.0 87N

3Io, Input 6 / 87N Ph tap 0.000 0.0

Phase Currents after delta/wye comp.


Input 1, B Comparator 1.124 -120.000

Input 1, C Comparator 1.124 120.000


Input 2, B Comparator 1.126 60.000

Input 2, C Comparator 1.126 -60.000

Trip? (Op>MPU? &

BE1-CDS220 3 Phase, Differential Calculations for Arbitrary Primary Currents

-- This sheet can also be used for the CDS240 in cases where the CDS240 is configured without ABC Swap, DDAB, or Polarity Reversal compensation.

-- Enter data in yellow fields only, entering only data listed in the "Range" cell. Range cells become red if bad data is entered.

-- The spreadsheet expects one to understand compensation that the relay is using and enter net compensation, not the Xfmr configuration. See IM chap

-- This sheet is for analyzing primary line currents. This sheet includes the effect of the CT connections.

-- Recall the relay expects current reversal across the xfmr, so balanced currents are shifted by 150, 180, or -150 degrees in most applications. For insta

phase current, current at Input 2 should be shifted by 180deg if xfmr is Y-Y, +150deg for a DAB-Y xfmr, and -150deg for a DAC-Y xfmr.

Effective Restrainted

Mag. Operate Curren

Mag. Restraint Curre


8/38

This sheet predicts tripping of a BE1-11tfor a set of arbitrary user-defined CT second

RELAY SETTINGS Range CURRENTS AT RELAY IN

Nominal Amp Rating of Inputs 5 5 or 1

Restr. = Max. or Avg. Mult. of Tap? M M or A Input 1, Ph A

87Phase Min Pickup (MPU), per unit 0.35 0.10-1.00 Input 1, Ph B

Phase % Slope 1 20% 15-60, steps of 1 Input 1, Ph C

Phase % Slope 2 60% 15-60, steps of 1 CURRENTS AT RELAY IN

2nd Slope Pickup (MPU), per unit 10 0.1-20

Input 1 Tap 4 2.0-20 or 0.4-4 Input 2, Ph A

Input 1 Compensation y Y, DAB, DAC Input 2, Ph B

Input 1 "Ground Source" selected? n Y, N Input 2, Ph C

Input 2 Tap 2.2 2.0-20 or 0.4-4 CURRENT AT RELAY INP

Input 2 Compensation dab Y, DAB, DACInput 2 "Ground Source" selected? n Y, N Current @ Input Ig

87Gnd Min Pickup (MPU), per unit 0.35 0.10-1.00 Input Current/Tap ( = curr

87Gnd % Slope 20% 15-60, steps of 1

Which input # is Ig compared to? 2 1, 2. Input 1, Ph A

Phase CT Ratio for Input 2 400 N to 1 Input 1, Ph B

Ground CT Ratio 200 N to 1 Input 1, Ph C

87N Tap, Ig Input side 4.00 See cell notes Input 2, Ph A

87N Tap, Phase Input side 2.00 See above Input 2, Ph B

Input 2, Ph C

% Slope Transistion Points Iop Ir Input Ig / 87N Ig tap

knee 1 (Min Pickup to Slope 1) 0.350 175.000 3Io, Input 2 / 87N Ph tap

knee 2 (Slope 1 to Slope 2) 0.020 10.000 Phase Currents after delta

Input 1, A Comparator

Input 1, B Comparator

Input 1, C Comparator

Input 2, A Comparator

Input 2, B Comparator

Input 2, C Comparator

BE1-11tDifferential Calculations for Arbitrary Isec

-- Enter data in yellow fields only, entering only data listed in the "Range" cell. Range cells become red

-- The spreadsheet expects one to understand compensation that the relay is using and enter net com


9/38

ry current inputs

UT 1 Intermediate Calculations

Mag. Angle Tap, Delta, and Io Compensa

8 0.0 A Comparator 2.000 Input 1 Real

0 0.0 B Comparator 0.000 Wye Compensation (= None) b

8 180.0 C Comparator 2.000 IA 2.000

UT 2 Gnd Comparator 0.000 IB 0.000

Mag. Angle IC -2.000

7.62 180.0 Calculated Io 0.000

0 30.0 Wye - Io compensation

0 0.0 A Comparator 0.400 A' = A-Io 2.000

T IG B Comparator 0.000 B' = B-Io 0.000

Mag. Angle C Comparator 0.400 C' = C-Io -2.00015.24 0.0 Gnd Comparator 0.762 DAB Compensation

nt in MOT) A' =(A-B)/sqrt3 1.155

Mag. Angle B' =(B-C)/sqrt3 1.155

2.000 0.0 C' =(C-A)/sqrt3 -2.309

0.000 0.0 A Comparator 0.000 DAC Compensation

2.000 180.0 B Comparator 0.000 A' =(A-C)/sqrt3 2.309

2.000 180.0 C Comparator 0.000 B' =(B-A)/sqrt3 -1.155

0.000 0.0 Gnd Comparator 0.000 C' =(C-B)/sqrt3 -1.155

2.000 0.0 Input 1, applying appropriate co

3.810 0.0 A 2.000

3.810 180.0 B 0.000

/wye compensation 87Ph-A No C -2.000

Mag. Angle 87Ph-B No

2.000 0.0 87Ph-C No Current Summations

0.000 0.0 87N No Phase Sum (Input 1 + 2, after c

2.000 180.0 1A+2A 0.000

2.000 180.0 1B+2B 0.000

0.000 0.0 1C+2C 0.000

2.000 0.0

if bad data is entered.

ensation, not the Xfmr configuration. See Instruction Manual.

Effective Restrainted Pickup Current

Mag. Operate Current (Rest. 1+2)

Trip? (Op>MPU? & Op>Restraint?)

Mag. Restraint Current (Ir)


10/38

ion Equations

Imag. Mag Angle Input 2 Real Imag. Mag Angle

ut after tap effect.

0.000 2.000 0.0 IA -3.464 0.000 3.464 180.0

0.000 0.000 0.0 IB 0.000 0.000 0.000 30.0

0.000 2.000 180.0 IC 0.000 0.000 0.000 0.0

0.000 0.000 0.0 Calculated Io -1.155 0.000 1.155 180.0

0.000 2.000 0.0 Ao' = A-Io -2.309 0.000 2.309 180.0

0.000 0.000 0.0 Bo' = B-Io 1.155 0.000 1.155 0.0

0.000 2.000 180.0 Co' = C-Io 1.155 0.000 1.155 0.0

0.000 1.155 0.0 A' =(A-B)/sqrt3 -2.000 0.000 2.000 180.0

0.000 1.155 0.0 B' =(B-C)/sqrt3 0.000 0.000 0.000 0.0

0.000 2.309 180.0 C' =(C-A)/sqrt3 2.000 0.000 2.000 0.0

0.000 2.309 0.0 A' =(A-C)/sqrt3 -2.000 0.000 2.000 180.0

0.000 1.155 180.0 B' =(B-A)/sqrt3 2.000 0.000 2.000 0.0

0.000 1.155 180.0 C' =(C-B)/sqrt3 0.000 0.000 0.000 0.0

mpensation Input 2, applying appropriate compensation

0.000 2.000 0.0 A -2.000 0.000 2.000 180.0

0.000 0.000 0.0 B 0.000 0.000 0.000 0.0

0.000 2.000 180.0 C 2.000 0.000 2.000 0.0

ompensation) Ground currents and summation

0.000 0.000 ---- Ig 3.810 0.000 3.810 0.0

0.000 0.000 ---- 3Io -3.810 0.000 3.810 180.0

0.000 0.000 ---- Ig+3Io 0.000 0.000 0.000 ----


11/38


12/38

This sheet predicts targets on a BE1-CDS240 relay for a set of arbitrary user-defined secondary currents

RELAY SETTINGS (Red range cell flags bad data) Range CURRENTS AT INPUT 1 Current, Per Unit of Tap:

Nominal Amp Rating of Inputs 5 5 or 1 Mag. Angle Input 1, Ph A

Restr. = Max. or Avg. Mult. of Tap? M M or A or 2 Input 1, Ph A 7 180.0 Input 1, Ph B

No. of 87Ph inputs (see Range notes) 4 2,3,4 Input 1, Ph B 7 60.0 Input 1, Ph C

87Phase Min Pickup (MPU), per unit 0.25 0.10-1.00 Input 1, Ph C 7 -60.0 Input 2, Ph A

Phase % Slope 35% 15-60, steps of 1 CURRENTS AT INPUT 2 Input 2, Ph B

Input 1 Tap 5 2.0-20 or 0.4-4 Mag. Angle Input 2, Ph C

Input 1 Delta Comp. (see IM Chpt 3) y Y, DAB, DAC, DDAB Input 2, Ph A 1 0.0 Input 3, Ph A

Input 1 "Ground Source" selected? n Y, N Input 2, Ph B 1 -120.0 Input 3, Ph B

Input 1 Swap; A = ? a A, B, C Input 2, Ph C 1 120.0 Input 3, Ph C

Input 1 Polarity Reversal? n Y, N CURRENTS AT INPUT 3 Input 4, Ph A

Input 2 Tap 2.5 2.0-20 or 0.4-4 Mag. Angle Input 4, Ph B

Input 2 Delta Comp. (see IM Chpt 3) y Y, DAB, DAC, DDAB Input 3, Ph A 1 0.0 Input 4, Ph C

Input 2 "Ground Source" selected? n Y, N Input 3, Ph B 1 -120.0 Input Ig / 87N Ig tapInput 2 Phase Swap; A = ? a A, B, C Input 3, Ph C 1 120.0 3Io, Input / 87N Ph tap

Input 2 Polarity Reversal? n Y, N CURRENTS AT INPUT 4 Phase Restraint, after co

Input 3 Tap 2.5 2.0-20 or 0.4-4 Mag. Angle Input 1, A Comparator

Input 3 Delta Comp. (see IM Chpt 3) y Y, DAB, DAC, DDAB Input 4, Ph A 1.5 0.0 Input 1, B Comparator

Input 3 "Ground Source" selected? n Y, N Input 4, Ph B 1.5 -120.0 Input 1, C Comparator

Input 3 Phase Swap; A = ? A A, B, C Input 4, Ph C 1.5 120.0 Input 2, A Comparator

Input 4 Polarity Reversal? N Y, N CURRENT AT IG (GROUND INPUT) Input 2, B Comparator

Input 4 Tap 2.5 2.0-20 or 0.4-4 Mag. Angle Input 2, C Comparator

Input 4 Delta Comp. (see IM Chpt 3) y Y, DAB, DAC, DDAB Input Ig 0 180.0 Input 3, A Comparator

Input 4 "Ground Source" selected? n Y, N Input 3, B Comparator

Input 4 Phase Swap; A = ? a A, B, C Input 3, C Comparator

Input 4 Polarity Reversal? n Y, N Input 4, A Comparator

87Gnd Min Pickup (MPU), per unit 0.2 0.10-1.00 Input 4, B Comparator

87Gnd % Slope 20% 15-60, steps of 1 Input 4, C Comparator Which input # is Ig compared to? 4 1, 2. 3, 4

Phase CT Ratio for Input 4 400 N to 1

Ground CT Ratio 50 N to 1

87N Tap, Ig Input side 16.00 See cell notes

BE1-CDS240, 3 Phase, Differential Calculations for Arbitrary Isec

-- Enter data in yellow fields only. Blue cells are calculated by the spreadsheet.

-- The sheet reproduces the differential calculations of the BE1-CDS240 to assist in determining if a trip should occur for a given current defined by the

-- This sheet does not support the analysis of virtual currents at this time.

-- Recall the relay expects current reversal across the xfmr, so balanced currents are shifted by 150, 180, or -150 degrees in most applications. For ins

should be shifted by 180deg if xfmr is Y-Y, +150deg for a DAB-Y xfmr, and -150deg for a DAC-Y xfmr.


13/38

RELAY SETTINGS

2.00

5.00

M

0.35

4

15%

60%

5

10 < 0

25 < 180

Slope Transitions Ires Iop

Knee 1 (per unit) 2.333 0.350

Knee 2 (per unit) 4.000 0.600

87 Phase:

Trip Level (Amps): Max Res Avg Res Max. Restr. Avg. Restr.

When increasing input 1, Slope 2 Slope 2 is exceeded at: 16.000 13.429

When decreasing input 1, Slope 2 Slope 2 is exceeded at: 7.600 8.154

When increasing input 2, Slope 2 Slope 2 is exceeded at: 40.000 33.571

When decreasing input 2, Slope 2 Slope 2 is exceeded at: 19.000 20.385

Trip Point Inc.

Ires 8.000

Iop 3.000

Trip Poin Dec.

Ires 5.000

Iop 1.200

Restrained Slope 2

MULTIPLE OF TAP (MOT) FOR TEST

INITIAL CURRENT INJECTION VALUE FOR TEST

--------------------------------------------- Do not edit cells below ----------------

Trip Levels

Initially inject into Input 1 (amps):

Initially inject into Input 2 (amps):

CT1 Tap (Amps)

CT2 Tap (Amps)

Slope Mode

Min. Restrained Pickup (Iop Multiples of Tap)

2nd Slope Pickup (Ires Multiples of Tap) (0=disable)

Restrained Slope 1


14/38


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19/38


20/38


21/38


22/38


23/38


24/38


25/38

Range

2.00-20.00

2.00-20.00

M (Max.) or A (Avg.)

0 or 0.1-1

0 or 0.1-20

15-60

15-60

0-20

In Use:

16.000

7.600

40.000

19.000

Slope 2 Y-Intercept x f(x)

-1.8 0.0 0.35 0.35

0.1 0.35

Slope 1 Y-Intercept 0.2 0.35

0 0.3 0.35

0.4 0.35

0.5 0.35

0.6 0.35

------------------------------------------------------------------------------------

Inc. Trip Point,

(Ires, Iop), 8.00,3.00Dec. Trip Point,

(Ires, Iop), 5.00,

1.20

0.0

2.0

4.0

6.0

8.0

10.0

12.0

14.0

0.0 5.0 10.0 15.0

Iop(MultiplesofTap)

Ires (Multiples of Tap)

Percentage Restraint Characteristic

Inc. Trip Point, (Ires,

Iop), 8.00, 3.00

Dec. Trip Point, (Ires,

Iop), 5.00, 1.20

0.0

2.0

4.0

6.0

8.0

10.0

12.0

14.0

0.0 5.0 10.0 15.0

Iop(MultiplesofTap)

Ires (Multiples of Tap)

Percentage Restraint Characteristic


26/38

0.7 0.35

0.8 0.35

0.9 0.35

1.0 0.35

1.1 0.35

1.2 0.35

1.3 0.351.4 0.35

1.5 0.35

1.6 0.35

1.7 0.35

1.8 0.35

1.9 0.35

2.0 0.35

2.1 0.35

2.2 0.35

2.3 0.35

2.4 0.36

2.5 0.375

2.6 0.39

2.7 0.405

2.8 0.42

2.9 0.435

3.0 0.45

3.1 0.465

3.2 0.48

3.3 0.495

3.4 0.513.5 0.525

3.6 0.54

3.7 0.555

3.8 0.57

3.9 0.585

4.0 0.6

4.1 0.66

4.2 0.72

4.3 0.78

4.4 0.84

4.5 0.9

4.6 0.96

4.7 1.02

4.8 1.08

4.9 1.14

5.0 1.2

5.1 1.26

5.2 1.32

5.3 1.38


27/38

5.4 1.44

5.5 1.5

5.6 1.56

5.7 1.62

5.8 1.68

5.9 1.74

6.0 1.86.1 1.86

6.2 1.92

6.3 1.98

6.4 2.04

6.5 2.1

6.6 2.16

6.7 2.22

6.8 2.28

6.9 2.34

7.0 2.4

7.1 2.46

7.2 2.52

7.3 2.58

7.4 2.64

7.5 2.7

7.6 2.76

7.7 2.82

7.8 2.88

7.9 2.94

8.0 3

8.1 3.068.2 3.12

8.3 3.18

8.4 3.24

8.5 3.3

8.6 3.36

8.7 3.42

8.8 3.48

8.9 3.54

9.0 3.6

9.1 3.66

9.2 3.72

9.3 3.78

9.4 3.84

9.5 3.9

9.6 3.96

9.7 4.02

9.8 4.08

9.9 4.14

10.0 4.2


28/38

10.1 4.26

10.2 4.32

10.3 4.38

10.4 4.44

10.5 4.5

10.6 4.56

10.7 4.6210.8 4.68

10.9 4.74

11.0 4.8

11.1 4.86

11.2 4.92

11.3 4.98

11.4 5.04

11.5 5.1

11.6 5.16

11.7 5.22

11.8 5.28

11.9 5.34

12.0 5.4

12.1 5.46

12.2 5.52

12.3 5.58

12.4 5.64

12.5 5.7

12.6 5.76

12.7 5.82

12.8 5.8812.9 5.94

13.0 6

13.1 6.06

13.2 6.12

13.3 6.18

13.4 6.24

13.5 6.3

13.6 6.36

13.7 6.42

13.8 6.48

13.9 6.54

14.0 6.6

14.1 6.66

14.2 6.72

14.3 6.78

14.4 6.84

14.5 6.9

14.6 6.96

14.7 7.02


29/38

14.8 7.08

14.9 7.14

15.0 7.2

15.1 7.26

15.2 7.32

15.3 7.38

15.4 7.4415.5 7.5

15.6 7.56

15.7 7.62

15.8 7.68

15.9 7.74

16.0 7.8

16.1 7.86

16.2 7.92

16.3 7.98

16.4 8.04

16.5 8.1

16.6 8.16

16.7 8.22

16.8 8.28

16.9 8.34

17.0 8.4

17.1 8.46

17.2 8.52

17.3 8.58

17.4 8.64

17.5 8.717.6 8.76

17.7 8.82

17.8 8.88

17.9 8.94

18.0 9

18.1 9.06

18.2 9.12

18.3 9.18

18.4 9.24

18.5 9.3

18.6 9.36

18.7 9.42

18.8 9.48

18.9 9.54

19.0 9.6

19.1 9.66

19.2 9.72

19.3 9.78

19.4 9.84


30/38

19.5 9.9

19.6 9.96

19.7 10.02

19.8 10.08

19.9 10.14

20.0 10.2

20.1 10.2620.2 10.32

20.3 10.38

20.4 10.44

20.5 10.5

20.6 10.56

20.7 10.62

20.8 10.68

20.9 10.74

21.0 10.8

21.1 10.86

21.2 10.92

21.3 10.98

21.4 11.04

21.5 11.1

21.6 11.16

21.7 11.22

21.8 11.28

21.9 11.34

22.0 11.4

22.1 11.46

22.2 11.5222.3 11.58

22.4 11.64

22.5 11.7

22.6 11.76

22.7 11.82

22.8 11.88

22.9 11.94

23.0 12

23.1 12.06

23.2 12.12

23.3 12.18

23.4 12.24

23.5 12.3

23.6 12.36

23.7 12.42

23.8 12.48

23.9 12.54

24.0 12.6

24.1 12.66


31/38

24.2 12.72

24.3 12.78

24.4 12.84

24.5 12.9

24.6 12.96

24.7 13.02

24.8 13.0824.9 13.14

25.0 13.2

25.1 13.26

25.2 13.32

25.3 13.38

25.4 13.44

25.5 13.5

25.6 13.56

25.7 13.62

25.8 13.68

25.9 13.74

26.0 13.8

26.1 13.86

26.2 13.92

26.3 13.98

26.4 14.04

26.5 14.1

26.6 14.16

26.7 14.22

26.8 14.28

26.9 14.3427.0 14.4

27.1 14.46

27.2 14.52

27.3 14.58

27.4 14.64

27.5 14.7

27.6 14.76

27.7 14.82

27.8 14.88

27.9 14.94

28.0 15

28.1 15.06

28.2 15.12

28.3 15.18

28.4 15.24

28.5 15.3

28.6 15.36

28.7 15.42

28.8 15.48


32/38

28.9 15.54

29.0 15.6

29.1 15.66

29.2 15.72

29.3 15.78

29.4 15.84

29.5 15.929.6 15.96

29.7 16.02

29.8 16.08

29.9 16.14

30.0 16.2

30.1 16.26

30.2 16.32

30.3 16.38

30.4 16.44

30.5 16.5

30.6 16.56

30.7 16.62

30.8 16.68

30.9 16.74

31.0 16.8

31.1 16.86

31.2 16.92

31.3 16.98

31.4 17.04

31.5 17.1

31.6 17.1631.7 17.22

31.8 17.28

31.9 17.34

32.0 17.4

32.1 17.46

32.2 17.52

32.3 17.58

32.4 17.64

32.5 17.7

32.6 17.76

32.7 17.82

32.8 17.88

32.9 17.94

33.0 18

33.1 18.06

33.2 18.12

33.3 18.18

33.4 18.24

33.5 18.3


33/38

33.6 18.36

33.7 18.42

33.8 18.48

33.9 18.54

34.0 18.6

34.1 18.66

34.2 18.7234.3 18.78

34.4 18.84

34.5 18.9

34.6 18.96

34.7 19.02

34.8 19.08

34.9 19.14

35.0 19.2

35.1 19.26

35.2 19.32

35.3 19.38

35.4 19.44

35.5 19.5

35.6 19.56

35.7 19.62

35.8 19.68

35.9 19.74

36.0 19.8

36.1 19.86

36.2 19.92

36.3 19.9836.4 20.04

36.5 20.1

36.6 20.16

36.7 20.22

36.8 20.28

36.9 20.34

37.0 20.4

37.1 20.46

37.2 20.52

37.3 20.58

37.4 20.64

37.5 20.7

37.6 20.76

37.7 20.82

37.8 20.88

37.9 20.94

38.0 21

38.1 21.06

38.2 21.12


34/38

38.3 21.18

38.4 21.24

38.5 21.3

38.6 21.36

38.7 21.42

38.8 21.48

38.9 21.5439.0 21.6

39.1 21.66

39.2 21.72

39.3 21.78

39.4 21.84

39.5 21.9

39.6 21.96

39.7 22.02

39.8 22.08

39.9 22.14

40.0 22.2

40.1 22.26

40.2 22.32

40.3 22.38

40.4 22.44

40.5 22.5

40.6 22.56

40.7 22.62

40.8 22.68

40.9 22.74

41.0 22.841.1 22.86

41.2 22.92

41.3 22.98

41.4 23.04

41.5 23.1

41.6 23.16

41.7 23.22

41.8 23.28

41.9 23.34

42.0 23.4

42.1 23.46

42.2 23.52

42.3 23.58

42.4 23.64

42.5 23.7

42.6 23.76

42.7 23.82

42.8 23.88

42.9 23.94


35/38

43.0 24

43.1 24.06

43.2 24.12

43.3 24.18

43.4 24.24

43.5 24.3

43.6 24.3643.7 24.42

43.8 24.48

43.9 24.54

44.0 24.6

44.1 24.66

44.2 24.72

44.3 24.78

44.4 24.84

44.5 24.9

44.6 24.96

44.7 25.02

44.8 25.08

44.9 25.14

45.0 25.2

45.1 25.26

45.2 25.32

45.3 25.38

45.4 25.44

45.5 25.5

45.6 25.56

45.7 25.6245.8 25.68

45.9 25.74

46.0 25.8

46.1 25.86

46.2 25.92

46.3 25.98

46.4 26.04

46.5 26.1

46.6 26.16

46.7 26.22

46.8 26.28

46.9 26.34

47.0 26.4

47.1 26.46

47.2 26.52

47.3 26.58

47.4 26.64

47.5 26.7

47.6 26.76


36/38

47.7 26.82

47.8 26.88

47.9 26.94

48.0 27

48.1 27.06

48.2 27.12

48.3 27.1848.4 27.24

48.5 27.3

48.6 27.36

48.7 27.42

48.8 27.48

48.9 27.54

49.0 27.6

49.1 27.66

49.2 27.72

49.3 27.78

49.4 27.84

49.5 27.9

49.6 27.96

49.7 28.02

49.8 28.08

49.9 28.14

50.0 28.2


37/38

20.0 25.020.0 25.0


38/38

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XfrmDiffAnalysis_R03

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