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Substation protection calculations

The purpose of this document was to get to know the theory behind instrument transformers in substations and to create a calculation template in Microsoft Excel which would simplify the current transformer calculation process.

Instrument transformer calculations and dimensioning for substation protection
Instrument transformer calculations and dimensioning for substation protection (on photo: 110 kV substation at Saare between Tartu and Mustvee; credit:

The way of implementing different calculations to be print ready to customers was to make several sheets for different protection functions. The basic instrument transformer theory is covered in the first segment followed by basic relay protection functions.

In the dimensioning segment the used standards for instrument transformer from IEC are presented along with different types of current transformers that are specified in the IEC 61869 instrument transformer standard.

The theory behind the current transformer calculations is looked at and the created calculation template is explained. In the conclusions segment the future of the accomplished calculation template is assessed.

Relay protection

Instrument transformers are a key part of relay protection. The measured signals from current and voltage transformer secondary coils are used in the relay to detect fault situations and quickly isolate the fault from the network.

1. Protection Functions

Different protection functions are used to protect different parts of the electrical grid. Different protection functions set different requirements for the protective current transformer.

110 kV Current Transformer
110 kV Current Transformer

1.1 Line Distance Protection

Line distance protection is one of the most used and important functions of high voltage transmission line protection. The impedance of a transmission line is proportional to its length. If the measured impedance of the transmission line is smaller than the calculated impedance of the transmission line then the distance protection function will trip.

Distance protection is also called impedance protection.

Distance protection has multiple zones which can be configured freely. Usually at least two zones are in use: zone 1 which is set to reach point which is 80-90 % of line impedance and zone 2 which is 120 % or more of line impedance. This way zone 2 acts also as a backup for the next transmission line.

Transmission lines vary in length and distance protection is not ideal for protecting short transmission lines.

1.2 Line Differential Protection

Differential protection compares the current amplitude and/or –phase angle of both ends of the transmission line. If the measured value exceeds a set value, circuit breakers will trip at both ends of the transmission line and isolating the faulty section of the network.

Line differential is usually a better option than distance protection for short transmission lines. Differential protection is also commonly used in transformer and generator protection.

Title:Instrument Transformer Calculations and Dimensioning For Substations – Ronny Mustajärvi (VAASAN AMMATTIKORKEAKOULU Sähkötekniikan koulutusohjelma)
Size:913.60 MB
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Instrument Transformer Calculations and Dimensioning For Substations
Instrument Transformer Calculations and Dimensioning For Substations

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  1. Claudio Cuambe
    Jun 16, 2023

    my question is , there is software to calculate instruments of substations ?

  2. khan mohammad ebrahim
    Sep 20, 2020

    The file size is in 913.06 Kbs not 913.06 Mb ,may some people well not download the file for visible bigger size.


  3. Novo Tuazon
    Aug 24, 2020

    Thank you for the technical info .

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