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Hands On Relay School Open Lecture Transformer Differential Protection Scott Cooper
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Page 1: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Hands On Relay School Open LectureTransformer Differential Protection

Scott Cooper

Page 2: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Transformer Differential Protection

• Introduction:

• Transformer differential protection schemes are

ubiquitous to almost any power system.

• While the basic premise of transformer differential

protection is straightforward, numerous features must be

employed to compensate for challenges presented by the

transformer application….

Page 3: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Transformer Differential

Protection

• Current Mismatch Caused by the Transformation Ratio and Differing

CT Ratios

• Current Mismatch Caused by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence, and CT

Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 4: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Understanding Transformer

Differential Protection

• Current Mismatch Caused by the Transformation Ratio and

Differing CT Ratios

• Current Mismatch Caused by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence, and CT

Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 5: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Current Mismatch Caused by the Transformation Ratio

and Differing CT Ratios

Kirchhoff’s Current Law: At any node, the sum of currents

flowing into that node is equal to the sum of currents

flowing out of that node (fig 1).

NodeI1 I2

I3

I1 + I2 + I3 = 0

Page 6: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Current Mismatch Caused by the

Transformation Ratio and Differing CT Ratios

Because of the transformation ratio and probable CT ratio

mismatch, transformer winding currents cannot be directly

compared, but the MVA on each side can be compared.

NodeI1 I2

I3

I1 + I2 + I3 = 0

TransformerMVA2

MVA3

MVA1 + MVA2 + MVA3 = 0

MVA1

Page 7: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

To calculate the secondary current equal to one per unit,

the following calculations are used on each side of the

transformer:

33*

CTRV

rVATransformeWindingTap

LL

3*CTRV

rVATransformeWindingTap

LL

For wye-connected CT’s:

For delta-connected CT’s:

Current Mismatch Caused by the Transformation Ratio

and Differing CT Ratios

Page 8: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Current Mismatch Caused by the Transformation Ratio

and Differing CT Ratios

During testing, the desired starting current values is

determined by multiplying the desired per unit current by

the tap to find the equivalent secondary current for each

side.

To convert a measured trip current to a per unit current,

divide the current by the tap for that winding.

WindingTap

IPU measured

measured

testdesired IWindingTapPU

Page 9: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Understanding Transformer

Differential Protection

• Current Mismatch Caused the Transformation Ratio and

by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence,

and CT Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 10: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Delta-Wye Transformation of Currents

Primary

Winding A

WB Wb

WcWC

BA II

CB II

AC II

aI

bI

cI

Secondary

Winding a

• Transformers frequently employ

Delta-Wye connections

• Not only do these connections

introduce a 30 degree phase

shift, but they also change the

makeup of the currents

measured by the CT’s

• For differential schemes, the

current ഥ𝐼𝐴-ഥ𝐼𝐵 cannot be directly

compared to current ഥ𝐼𝑎

Page 11: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Delta-Wye Transformation of Currents

Primary

Winding

A

WB Wb

WcWC

BA II

CB II

AC II

aI

bI

cI

Secondary

Winding a

Differential A

Differential B

Differential C

For Single phase

differential relays like the

HU, BDD, and CA, the

solution for delta-wye

transformers is to simply

connect the Winding 2 CT

secondary circuits in a

delta to match the primary

main windings.

Page 12: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

AB connected delta-wye transformer

Ia Ia

Ib Ib

IcIc

Ia

Ib

Ic

Ia-Ib

Ib-Ic

Ic-Ia

Ia

Ia-Ib

Ib

Ic

Ib-Ic

Ic-Ia

Iab

Page 13: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

a

b

c -b

a

b

cA-B

-b

• Subtracting Vectors: Subtract from reference phase vector the connected non-polarity vector…in our example Ia-Ib

• Can be repeated for B & C, or you can assume –120 and –240 displacement from A for B&C respectively

• Ib – Ic and Ic – Ia would be the vectors

AB connected delta-wye transformer

Page 14: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

AC connected delta-wye transformer

Ia Ia

Ib Ib

IcIc

Ia

Ib

Ic

Ia-Ic

Ib-Ia

Ic-Ib

Ia

Ia-IcIb

Ic

Ib-Ia

Ic-Ib

Page 15: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

• Subtracting vectors: Subtract from reference phase vector the connected non-polarity vector…in our example Ia+(-Ic) or Ia-Ic

• Can be repeated for B & C, or you can assume –120 and –240 displacement from A for B&C respectively

• Ib – Ia and Ic – Ib would be the vectors

a

b

c

-c

a

b

c

A-C-c

AC connected delta-wye transformer

Page 16: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Delta-Wye Transformation of Currents

Angular Displacement Conventions:

• ANSI: Remember “High Leads Low by 30”

– Y-Y, - @ 0°; Y- , -Y @ X1 lags H1 by 30°

– ANSI makes life easy

0

6

39

8

7

10

11 1

2

5

4

Dy1 = X1 lags H1 by 1*30 = 30, or H1 leads X1 by 30 (ANSI std.)

Page 17: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Delta-Wye Transformation of Currents

Angular Displacement Conventions:

• IEC connection designations:

– 1st Letter is H side bushing connection

– 2nd letter is x-side bushing connection

– Number is the number of 30 increments the X-side LAGS the H-side

• Dy11=X1 lags H1 by 11*30°=330°

• Think of a clock – each hour is 30 degrees

0

6

39

8

7

10

11 1

2

5

4

Dy1 = X1 lags H1 by 1*30 = 30, or H1 leads X1 by 30 (ANSI std.)

Page 18: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Delta-Wye Transformation of Currents

There are also several transformer relay manufacturer conventions

commonly used for defining the transformer connections.

The following are examples for ABC rotation except where noted:

• SEL 387 Method: In this convention each winding is given a number

0-11, which corresponds to the number of 30 degree leading angle

increments. Each winding is corrected back to zero degrees.

• Beckwith 3311 Custom Method: In this convention each winding is

given a number 0-11, which corresponds to the number of 30 degree

lagging angle increments relative of a hypothetical wye winding.

Winding correction mostly mimics old connection compensation

schemes.

• GE T60 Method: In this convention each winding is given an angle

which corresponds to the lagging angle relative to the designated

reference winding.

Page 19: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Delta-Wye Transformation of Currents

W1 W2 IECBeckwith Custom GE

(Ref W1)

SEL Test Angles (ABC Rotation)

W1 W2 W1 W2 W1-A W1-B W1-C W2-A W2-B W2-C

Y Y Yy0 0 0 Yy0 12 12 0 -120 120 180 -60 60

DAB Y Dy1 11 1 Dy30 1 12 30 -90 150 180 -60 60

Y DAB Yd11 0 11 Yd330 12 1 0 -120 120 -150 -30 90

DAC Y Dy11 1 0 Dy330 11 12 -30 -150 90 180 -60 60

Y DAC Yd1 0 1 YD30 12 11 0 -120 120 150 30 -90

DAC DAC Dd0 1 1 Dd0 11 11 -30 -150 90 150 30 -90

DAB DAB Dd0 11 11 Dd0 1 1 30 -90 150 -150 -30 90

DAC DAB Dd10 1 11 Dd300 11 1 -30 -150 90 -150 -30 90

DAB DAC Dd2 11 1 Dd60 1 11 30 -90 150 150 30 -90

So what does all this mean while testing?

Here is a list of common relays, common connections, and test angles

(assuming set to positive angles lead):

Page 20: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Understanding

Transformer Differential Protection

• Current Mismatch Caused the Transformation Ratio and

by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence,

and CT Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 21: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Zero Sequence Elimination

• In all wye connected windings, the

ground provides a way for current to

enter the differential zone without

being measured by a phase

differential CT.

• This can unbalance the differential

during external phase to neutral

faults.

• If the differential protection is to resist

improperly tripping for external faults,

this current has to be removed from

differential calculations.

Primary

Winding A

WB Wb

WcWC

BA II

CB II

AC II

aI

bI

cI

Secondary

Winding a

Page 22: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Zero Sequence Elimination

The first removal method is

to simply connect the CT

secondary circuit in delta.

This straightforward method

is used in electromechanical

and in some digital relay

retrofit differential

applications.

Primary

Winding

A

WB Wb

WcWC

BA II

CB II

AC II

aI

bI

cI

Secondary

Winding a

Differential A

Differential B

Differential C

Page 23: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Zero Sequence Elimination

• In digital applications with wye connected

CT secondary circuits, the ground current

has to be removed numerically.

• This is done by either converting the

currents to delta quantities or by directly

subtracting calculated zero sequence

current from the differential quantity.

Page 24: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Understanding Transformer

Differential Protection

• Current Mismatch Caused the Transformation Ratio and

by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT

Remanence, and CT Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 25: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

LTC Induced Mismatch, CT Saturation, CT

Remanence, and CT Tolerance

Restraint Current

Diffe

ren

tia

l/O

pe

rate

Cu

rre

nt

MPU

Slope 1

Slo

pe 2

Trip Region

• The X-axis is the Restraint Current

• Measure of current through the

transformer after compensation

• As restraint current increases,

differential relay sensitivity is

decreased

• Relay manufacturers use a

variety of calculations like the

maximum, sum or average of

the winding currents

• The Y-axis is the Differential/Operate

current

• Is the sum of all winding

currents after amplitude and

angle compensation

Page 26: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

LTC Induced Mismatch, CT Saturation, CT

Remanence, and CT Tolerance

Restraint Current

Diffe

ren

tia

l/O

pe

rate

Cu

rre

nt

MPU

Slope 1

Slo

pe 2

Trip Region

• The Minimum Pickup region is used

between zero and approximately 0.5 per unit

restraint current. It provides security against

CT remanence and accuracy errors and is

usually set between 0.3 and 0.5pu.

• The Slope 1 region is used between the

minimum pickup region and the slope 2

breakpoint. Slope 1 provides security against

false tripping due to CT accuracy. Class C

CT accuracy is +/-10%, therefore 20% should

be the absolute minimum setting with greater

than 30% preferred. For LTC applications,

another +/-10% is added.

• The Slope 2 region is used above the slope

2 breakpoint, which is normally set at 2pu.

Slope 2 provides security against false

tripping during through fault events where CT

saturation is likely. Above 2pu restrainint

current, a significant DC current component

will be present and therefore saturation is

likely. Slope 2 is normally set at 60-80%.

Page 27: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

LTC Induced Mismatch, CT Saturation, CT

Remanence, and CT Tolerance

• SEL 487 Implementation:

Page 28: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

LTC Induced Mismatch, CT Saturation, CT

Remanence, and CT Tolerance

• SEL 487 Implementation:

Page 29: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

LTC Induced Mismatch, CT Saturation, CT

Remanence, and CT Tolerance

• Set Prefault >DIRTR and

<DIOPR for 0.025sec

prior to each shot.

• Monitor CON(A) for high

security mode

Page 30: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Transformer Differential

Protection

• Current Mismatch Caused the Transformation Ratio and by Differing

CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence, and CT

Tolerance

• Inrush Phenomena and Harmonic Content

Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 31: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Inrush Phenomena and Harmonic Content

Availability

When a transformer is energized, a step change in magnetizing voltage

occurs. This step change in magnetizing voltage results in over fluxing

the transformer core, causing magnetizing currents of up to 10pu.

Page 32: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Inrush Phenomena and Harmonic Content

AvailabilityDuring inrush, transformers also generate significant amounts of even

harmonics. These even harmonics can be used to prevent undesired

differential relay operation by restraining the differential if the even

harmonic content is above a preset level.

Page 33: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Transformer Differential

Protection

• Current Mismatch Caused the Transformation Ratio and

by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence,

and CT Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 34: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Over Excitation Phenomena

Over excitation occurs whenever the transformer voltage

is too high for the frequency. Over excitation is expressed

as a percentage:

൘𝑉𝑡𝑟𝑎𝑛𝑠𝑓𝑜𝑟𝑚𝑒𝑟

𝑉𝑛𝑜𝑚𝑖𝑛𝑎𝑙

𝐹𝑡𝑟𝑎𝑛𝑠𝑓𝑜𝑟𝑚𝑒𝑟

𝐹𝑛𝑜𝑚𝑖𝑛𝑎𝑙× 100 = 𝑃𝑒𝑟𝑐𝑒𝑛𝑡 𝑂𝑣𝑒𝑟 𝐸𝑥𝑐𝑖𝑡𝑎𝑡𝑖𝑜𝑛

Transformers are normally rated for at least 105% over excitation.

Levels above this can damage the transformer.

Page 35: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Over Excitation Phenomena

As percent over excitation increases, magnetizing current will increase.

Without appropriate logic, this can lead misoperation of the differential

scheme ahead of dedicated V/Hz relays.

Page 36: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Over Excitation Phenomena

This additional magnetizing current is rich in 5th harmonic current. This plot

shows the same fault record filtered for 5th harmonic content.

Page 37: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Over Excitation Phenomena

Restraint Current

Diffe

ren

tia

l/O

pe

rate

Cu

rre

nt

MPU

Slope 1

Slo

pe 2

Trip Region

5th Harmonic Pickup

Modern digital relays

have logic that

increases the

differential elements

minimum pickup setting

if significant 5th

harmonic current is

detected

Page 38: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Challenges to Transformer Differential

Protection

• Current Mismatch Caused the Transformation Ratio and

by Differing CT Ratios

• Delta-Wye Transformation of Currents

• Zero Sequence Elimination

• LTC Induced Mismatch, CT Saturation, CT Remanence,

and CT Tolerance

• Inrush Phenomena and Harmonic Content Availability

• Over Excitation Phenomena

• Switch Onto Fault concerns

Page 39: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Switch Onto Fault concerns

If a transformer experiences an internal fault on energization,

the harmonic restraint feature on a restrained differential

could delay tripping.

Therefore relays commonly employ a secondary,

unrestrained differential element.

• This element must be set above the maximum expected

inrush current, normally 8-12pu.

Page 40: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Switch Onto Fault concerns

In GE BDD and or Westinghouse HU types, an

instantaneous overcurrent unit in series with the differential

provides this feature.

In digital relays, a separate setpoint is provided. To test

these elements, parallel current channels as necessary and

apply currents to one side of the differential.

Page 41: Hands On Relay School Open Lecture - etouches · Hands On Relay School Open Lecture Transformer Differential Protection ... introduce a 30 degree phase shift, ... DAC DAC Dd0 1 1

Understanding Transformer

Differential Protection

Questions??

J. Scott Cooper

OMICRON

[email protected]


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