# Differential protection of transformers, machines, busbars, lines and feeders

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## Differential protection principles

Differential protection is very useful method of protection that can be applied to the protection of any network component, such as transformers, machines, busbars, lines and feeders.

The differential relay compares the incoming phase currents of an object to the outgoing phase currents of the same object. If these currents differ from each other as to the amplitude or phase angle or both more than allowed by the setting values of the relay, the relay will trip.

The measuring principle ensures that the relay operates exclusively on faults inside the area of protection, which means that the protection is absolutely selective.

Therefore the operating time of the protection is very short, typically shorter than one cycle. The area of protection is defined as the area between the current-measuring points.

Another advantage brought on by the measuring principle is the high sensitivity. The protection may respond to a fault current of only a few percent of the rated current. The obtainable sensitivity depends on the relay type used, the characteristics of the current transformers and the protected object.

According to their operating principles, the differential protection can be divided into following differential schemes:

### Low-impedance differential principle

A low-impedance differential scheme measures the currents on either side of the protected object and forms from these a differential current Id , Figure 1. In practice, a small differential current, mainly caused by measuring errors of the current transformers and the relay, can be noticed even though there is no fault within the area of protection.

In transformer protection applications, a so-called apparent differential current like this is additionally caused by the no-load current of the transformer, the position of the tap changer and momentarily by the transformer inrush current, which fully appears as differential current.

The magnitude of the differential current caused by the measuring errors and the position of the tap changer is directly proportional to the load current of the transformer. A particularly crucial situation from the apparent differential current point of view appears at faults just outside the area of protection.

The through-fault current is high and may contain a DC-component which may cause saturation of the current transformers resulting in a momentary increase in the differential current. To avoid a false operation of the differential relay, the relay must be stabilized, which means that the higher the through-fault current, the higher differential current is required for tripping.

The stabilizing current Ib is formed from the phase currents measured on both sides of the protected object.

#### Operating characteristic of a stabilized differential relay

An example of the operating characteristic of a stabilized differential relay is shown in Figure 1. The shape of the characteristic is defined by the basic setting, starting ratio and the second turning point, Figure 1.

For stabilizing current values greater than the second turning point, the starting ratio is fixed.

As the name implies, the basic setting defines the basic sensitivity of the relay under no-load conditions of the protected object.

The basic setting must be higher than, for example, the transformer excitation current or the line-charging current at maximum operating voltage to avoid a false operation of the relay. The basic setting also affects the level of the entire characteristic curve and thus also the operating sensitivity at higher stabilizing current levels.

The starting ratio caters for the sources of the apparent differential current, which are directly proportional to the through-flowing current. It is mainly the starting ratio together with the second turning point that determines the operating sensitivity of the relay for internal transformer or machine faults when these objects are loaded.

Winding and inter-turn short circuits and earth faults in the windings or elsewhere in the protected area are fault types that call for a sensitive and fast operation of the protection.

The second turning point also affects the stability of the protection at faults outside the area of protection.

In this situation, the relay must not operate incorrectly and trip the circuit breaker under the influence of the apparent differential current. The lower the setting of the second turning point, the better the stability obtained will be. On the other hand, the sensitivity of the relay for internal faults may be decreased in the same time, particularly in the transformer protection applications. By taking notice of the accuracy limit factors of the CTs, the fault current levels and their supply directions and the sensitivity requirements of the protected object, the setting of the second turning point is in general easily found.

At stabilizing current levels above the second turning point, the high starting ratio secures stability at faults arising outside the area of protection.

##### Stability problems

Stability problems may be caused by switching inrush currents. When a protected power transformer is energized, the inrush current fully appears as differential current, in which case the stabilization of the relay alone is not enough to prevent false relay operations.

This situation calls for a blocking function based on the second harmonic to inhibit the operation of the stabilized stage. The second harmonic is typically abundantly present in the inrush current.

Problems may also arise when the transformer inrush current fed by the protected generator is fairly high compared to the rated current. In these cases, the unsymmetrical phase currents containing second harmonics may cause non-simultaneous saturation of the current transformers and thus apparent differential current for the relay.

To secure the operation of the relay under these circumstances, the activation of the second harmonic-based blocking function is often justifiable.

In transformer protection applications, the stability is also endangered by a temporary overvoltage. The increasing voltage generates a growing magnetizing current because of the saturation of the transformer, which is fully seen as differential current.

When the ratio between the differential current and the stabilizing current exceeds the settings, the relay operates. The operation can be inhibited by incorporating a blocking function based on the fifth harmonic.

The magnetizing current of a saturated power transformer contains a great deal of this particular harmonic. If the overvoltage situation becomes worse, the proportion of the fifth harmonic typically grows up to a certain knee point level. At this point it may be appropriate to remove the blocking and to enable the relay to operate in order to prevent too excessive overexcitation of the transformer. This can be done with the release function of the fifth harmonic-based blocking.

To obtain as fast and dependable relay operation as possible at faults inside the area of protection, a high- set stage is used in addition to the stabilized stage. The high-set stage cannot be blocked and it is unstabilized. The high-set stage operates when the differential current momentarily exceeds the set start value.

For a fast and dependable operation of the high-set stage, the accuracy limit factor of the current transformers used in the protection must be high enough. This will also prevent the unnecessary operation of the second harmonic blocking function and in this way additional delay in operation of the stabilized stage can be prevented.

On the one hand, a sufficient similarity in the accuracy limit factors of the current transformers used in the protection further assures that the relay maintains its stability at faults outside the area of protection.

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### High-impedance differential principle

Thanks to its operating principle, the high-impedance differential scheme is particularly easy to implement and set and has a high operational reliability, Figure 2. The stabilization of the high-impedance scheme is performed by a separate stabilizing resistor.

As the name implies, this resistor is employed for the prevention of false relay operations on faults outside the area of protection. Such operations may be caused by the differential current arising from non-simultaneous saturation of the current transformers.

Because the current transformer circuits are galvanically interconnected, all the current transformers of the protection should have the same turns ratio!

The use of intermediate current transformers is not recommended as this increases the requirements set on the main current transformers and lowers the sensitivity of the protection. The high-impedance principle is particularly well suited for the short-circuit protection of machines, short lines and busbar systems and the earth-fault protection of these and transformers in effectively earthed and low-impedance-earthed networks.

The design of the stabilization of the high-impedance scheme is based on the assumption that one of the current transformers of the protection fully saturates at faults outside the area of protection, while the rest of the current transformers do not saturate at all. The idea is to route the apparent differential current formed in the mentioned way to flow through the saturated current transformer rather than through the relay.

Because the impedance of the saturated current transformer is low, a high resistance, that is, the stabilizing resistor, is connected in series with the relay circuit.

Now the entire differential current is forced to flow through the secondary circuit of the saturated current transformer, which can be described by short-circuiting the magnetizing reactance X E in Figure 2.

The voltage drop formed over the secondary circuit will then be the same as that over the relay circuit, Figure 2. This stabilizing voltage must not cause a relay operation.

Where:

• RS is stabilizing resistor,
• RU is voltage dependent resistor (varistor).

When the protection is implemented using a voltage relay, the selected setting must be equal to or exceed the calculated stabilizing voltage. The value of the stabilizing resistor is determined according to this voltage setting. In case of a voltage relay, the stabilizing resistor is often integrated into the relay.

When the protection is implemented using a current relay, the current value at which the relay should operate must be determined first.

By means of the stabilizing voltage and the current setting, the value of the stabilizing resistor is obtained. Typically in case of a current relay the stabilizing resistor must be separately installed and connected to the relay circuit.

On faults inside the area of protection, the current transformers attempt to feed a secondary current proportional to the short-circuit current through the relay. But because the impedance of the relay circuit is high, the secondary voltage may exceed the ratings of the relay and the secondary wiring.

For this reason, a voltage-dependent resistor is to be connected in parallel with the relay in order to limit the voltage to a safe level.

#### The influence of CT saturation on differential protection schemes

The current transformers used in the high-impedance protection applications must have an adequate accuracy limit factor to be capable of supplying enough current to the relaying circuit on faults inside the area of protection. This requirement is fulfilled if the knee point voltage of the current transformers is at least twice the chosen stabilizing voltage.

This way, the protection operates fast and reliably also for differential current levels just slightly exceeding the set value.

The protection requires class X or PX current transformers according to BS 3938 or IEC 60044-1 respectively, the repetition capability of which is determined by the knee point voltage and the resistance of the secondary circuit. In the specification of the class X or PX CTs, the magnetizing current corresponding to the knee point voltage is also given. This current value is needed for the calculation of the overall sensitivity of the protection.

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Reference // Distribution Automation Handbook – Relay Coordination by ABB

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#### Edvard Csanyi

Electrical engineer, programmer and founder of EEP. Highly specialized for design of LV/MV switchgears and LV high power busbar trunking (<6300A) in power substations, commercial buildings and industry fascilities. Professional in AutoCAD programming. Present on

1. Balone Balone
Nov 01, 2017

Thank you so much for the membership

• Edvard
Nov 01, 2017

You’re welcome Balone, I’m glad you find it usefull!

2. Aslam Shaukat
Oct 22, 2017

I have question on generating station differential protection schemes specially overlapping zone protection from generator neutral to the breaker on the high side of the GSU transformer – 87U. If this relay is used on a 400 MW Gas turbine generator(26kV) with a GSU high side voltage of 345 kV, is there any regulatory requirement for redundant 87U relays,? I am referring to either NERC, FERC, PRC-00X, if not, why it would be a good idea to have a redundant differential unit protection at that voltage level?.

3. Santosh
Oct 17, 2017

Pls send the setting of industrial relay for motor,genrator,busbar,transformer.