---
title: "Distance protection relay and applications"
subject: "Switchgear and Protection"
chapter: 7
key: "semester_6/switchgear_and_protection:distance-protection-relay"
source: https://www.bctengineer.com/q/semester_6/switchgear_and_protection/distance-protection-relay
site: BCT Engineering
---

# Distance protection relay and applications

Switchgear and Protection · Chapter 7: Protective Relays

- Asked in: 2075 Baisakh, 6 marks
- Video: [Distance Protection - Introduction to Protective Relaying - Protection and Switchgear Engineering](https://www.youtube.com/watch?v=vKIk9G6kIU4) — Ekeeda
- Answer checked by Claude Opus 5.5 (high effort) on 2026-10-14
- Page: https://www.bctengineer.com/q/semester_6/switchgear_and_protection/distance-protection-relay
- Whole chapter: https://www.bctengineer.com/md/semester_6/switchgear_and_protection/chapter-7

## Question

Explain distance protection relay. Mention their applications.

## Short answer

A distance relay measures impedance V/I to detect faults within a set zone. It provides main protection for transmission lines (≥66 kV) using stepped zones: zone 1 instantaneous for 80–90% of line, zone 2 and 3 with time delays for backup. Working types include impedance, reactance, mho, and quadrilateral relays.

## Answer

A **distance relay** measures the impedance (or a part of it, R or X) between the relay point and the fault, using the voltage and current at the relay: Z = V/I. Since line impedance is proportional to length, the relay operates when the measured impedance falls below the impedance of the protected section – i.e. when the fault lies within a set distance.

#### Principle

- Operating torque from current, restraining torque from voltage.
- Balanced-beam form: K₁I² > K₂V² → trips when V/I < √(K₁/K₂) = Z_set.
- During normal load, V is high and I moderate, so Z is large → no trip. During a fault within the zone, V falls and I rises → Z small → trip.

#### Types

| Relay | Measures | Characteristic on R–X plane |
|---|---|---|
| Impedance | Magnitude of Z | Circle centred at origin (non-directional) |
| Reactance | X only | Straight line parallel to R axis |
| Mho (admittance) | Z with direction | Circle through origin (inherently directional) |
| Quadrilateral | R and X separately | Polygon (static/numerical) |

#### Stepped zones

```text
A──────────B──────────C
Zone 1: 80–90% of AB  instantaneous
Zone 2: 100% AB + 20–50% BC  t ≈ 0.3–0.5 s
Zone 3: AB + BC + 25% beyond  t ≈ 1 s
```

#### Applications

- Main protection of **transmission and sub-transmission lines** (66 kV and above), where grading of overcurrent relays is difficult.
- Reactance relays for **short lines** (arc resistance does not affect them).
- Impedance relays for **medium lines**; mho relays for **long lines** (less affected by power swings).
- Back-up protection of adjacent lines (zone 2, zone 3), and protection of generators against loss of field.

**Advantages:** fast and selective; reach is almost independent of source impedance and fault level.

## Check yourself

The answer's key points as multiple-choice questions, with the correct option and why.

1. What does a distance relay measure to decide whether a fault is in its zone?
   A. Impedance Z = V/I seen from the relay point
   B. Only the current magnitude
   C. Only the frequency
   D. The temperature of the line
   Answer: A. Line impedance is proportional to length, so measured impedance indicates distance to the fault. (Key point: Quantity measured)

2. In the balanced-beam distance relay, K1*I^2 > K2*V^2 means the relay trips when:
   A. V/I is greater than Z_set
   B. V/I is less than sqrt(K1/K2)
   C. V is greater than I
   D. I is zero
   Answer: B. Rearranging gives V/I < sqrt(K1/K2) = Z_set, i.e. the fault is within the set reach. (Key point: Balanced-beam operating condition)

3. Zone 1 of a distance relay is normally set to cover:
   A. 100% of the protected line with 1 s delay
   B. 80-90% of the line, instantaneous
   C. The whole next line, instantaneous
   D. 50% of the next line plus 25% beyond
   Answer: B. Zone 1 covers 80-90% of the line without delay; the margin avoids over-reaching beyond the remote bus. (Key point: Zone 1 setting)

4. Which relay type is preferred for long lines because it is less affected by power swings?
   A. Reactance
   B. Impedance
   C. Mho
   D. Instantaneous overcurrent
   Answer: C. Mho relays have a small circle through the origin, so they are less affected by power swings; reactance suits short lines. (Key point: Relay type vs line length)

## Related in Switchgear and Protection

- [Static distance relay](https://www.bctengineer.com/question.md?key=semester_6%2Fswitchgear_and_protection%3Astatic-distance-relay) — Switchgear and Protection, chapter 8, asked 3×
- [Impedance type distance relay](https://www.bctengineer.com/question.md?key=semester_6%2Fswitchgear_and_protection%3Aimpedance-distance-relay-application) — Switchgear and Protection, chapter 7
- [Essential components of a static relay](https://www.bctengineer.com/question.md?key=semester_6%2Fswitchgear_and_protection%3Astatic-relay-essential-components) — Switchgear and Protection, chapter 8, asked 5×
- [Static differential relay](https://www.bctengineer.com/question.md?key=semester_6%2Fswitchgear_and_protection%3Astatic-differential-relay) — Switchgear and Protection, chapter 8, asked 3×
- [Impedance relay from universal torque equation](https://www.bctengineer.com/question.md?key=semester_6%2Fswitchgear_and_protection%3Aimpedance-relay-torque-equation) — Switchgear and Protection, chapter 7, asked 2×
- [IDMT characteristics and induction disc relay](https://www.bctengineer.com/question.md?key=semester_6%2Fswitchgear_and_protection%3Aidmt-induction-disc-relay) — Switchgear and Protection, chapter 7, asked 2×

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