Power System Protection - GATE Preparation

Introduction

Power System Protection

  • Essential for: Equipment safety, personnel safety, system reliability

  • Protection zones: Generators, transformers, buses, transmission lines

  • Basic requirements: Selectivity, speed, sensitivity, reliability

  • Protection system components: Relays, CTs, VTs, circuit breakers

  • Coordination: Primary and backup protection

  • Stability: Ability to remain inoperative during external faults

Over-current Protection

Over-current Protection - Principles

  • Operates when current exceeds preset value

  • Types:

    • Instantaneous (no intentional delay)

    • Time-delayed (IDMT characteristic)

  • Applications: Feeders, motors, transformers

  • Relay types: Electromechanical, digital, numerical

  • Pickup current: 1.25 to 1.5 times full load current

Over-current Protection - Characteristics

  • IDMT (Inverse Definite Minimum Time) curves:

    • Standard inverse (SI): \(t = \frac{0.14 \times TMS}{(I/I_s)^{0.02} - 1}\)

    • Very inverse (VI): \(t = \frac{13.5 \times TMS}{I/I_s - 1}\)

    • Extremely inverse (EI): \(t = \frac{80 \times TMS}{(I/I_s)^2 - 1}\)

    • Long time inverse

  • Settings: Pickup current, time multiplier setting (TMS)

  • Coordination: Grading margin (0.2-0.5 sec)

  • Plug setting multiplier (PSM) = Fault current / Pickup current

Differential Protection

Differential Protection - Principles

  • Principle: Compare current at both ends of protected zone

  • Operates when \(|I_1 - I_2| >\) threshold

  • Kirchhoff’s Current Law: \(\sum I_{in} = \sum I_{out}\)

  • Applications: Transformers, generators, busbars, transmission lines

  • Merits: High sensitivity, complete protection zone

  • Unit protection: Internal faults only

Differential Protection - Practical Issues

  • CT mismatches and saturation

  • Magnetizing inrush currents in transformers

  • Percentage differential relay: \(\frac{|I_1 - I_2|}{|I_1 + I_2|} \times 100\%\)

  • Biased differential protection

  • Restricted earth fault protection

  • Harmonic restraint for transformer protection (2nd harmonic)

  • Slope settings: Typically 10-40%

Directional Protection

Directional Protection - Principles

  • Responds to power/current flow direction

  • Requires reference quantity (voltage)

  • Power direction: \(P = VI\cos\phi\)

  • Torque equation: \(T = K_1 V I \cos(\theta - \phi)\)

  • Maximum torque angle (MTA): Usually 30°-45° lagging

  • Relay connection: 90° connection most common

Directional Protection - Applications

  • Applications: Parallel feeders, ring mains, interconnected systems

  • Directional over-current relay

  • Power directional relay

  • Reverse power protection for generators

  • Coordination with non-directional relays

  • Dead zone problem and solutions

  • Voltage polarization: Cross-polarization, self-polarization

Distance Protection

Distance Protection - Principles

  • Measures impedance (\(Z = V/I\))

  • Independent of current magnitude

  • Fault location estimation

  • Types: Impedance, reactance, mho relays

  • Reach setting: Based on line impedance

  • Suitable for long transmission lines

Distance Protection - Zones

  • Zone 1: 80-85% of line (instantaneous)

  • Zone 2: 120-150% of line (time delayed, 0.3-0.5 sec)

  • Zone 3: Backup for adjacent lines (1-3 sec)

  • Zone 4: Reverse direction (optional)

  • Coordination between zones

  • Load encroachment considerations

  • Under-reach and over-reach concepts

Distance Protection - Relay Characteristics

  • Impedance relay: Circle passing through origin

  • Reactance relay: Straight line parallel to R-axis

  • Mho relay: Circle passing through origin and relay point

  • Quadrilateral characteristic: Combination of multiple elements

  • Blinders: Prevent operation on load or out-of-zone faults

  • Offset mho: For ground fault protection

Circuit Breakers

Circuit Breakers - Principles

  • Functions: Interrupt fault current, isolate faulty section

  • Arc interruption: Key principle

  • Recovery voltage: RRRV (Rate of Rise of Recovery Voltage)

  • Breaking capacity: Maximum current it can interrupt

  • Making capacity: Peak current it can close onto

  • DC time constant: \(\tau = L/R\) (affects asymmetrical current)

Circuit Breakers - Types

  • Oil Circuit Breakers:

    • Bulk oil (BOB): Up to 132 kV

    • Minimum oil (MOCB): Up to 36 kV

  • Air blast circuit breakers: Up to 800 kV

  • Vacuum circuit breakers: Up to 38 kV

  • SF6 circuit breakers: Most common for high voltage (>145 kV)

  • Comparison: Speed, maintenance, environmental impact

Circuit Breakers - Ratings and Selection

  • Rated voltage and current

  • Breaking capacity (symmetrical and asymmetrical)

  • Making capacity = \(2.55 \times\) breaking capacity

  • Operating sequence: O-0.3s-CO-15s-CO

  • TRV (Transient Recovery Voltage) withstand

  • X/R ratio consideration: Higher X/R = more severe duty

  • Selection criteria based on system requirements

  • Capability curve: Current vs time characteristic

Protection Coordination

Protection Coordination

  • Primary and backup protection philosophy

  • Coordination between different protection schemes

  • Grading: Time grading, current grading, both

  • Discrimination: Achieved through proper coordination

  • Fault study requirements for protection design

  • Communication-based protection (pilot protection)

  • Selectivity index: Measure of coordination effectiveness

Earth Fault Protection

Earth Fault Protection

  • Sensitive earth fault (SEF): Uses residual current

  • Standby earth fault (SBEF): Backup protection

  • Residual current: \(I_R = I_A + I_B + I_C\)

  • Core balance CT: Encircles all three phases

  • Neutral displacement relay: Voltage-based

  • Earth fault factor: Voltage rise in healthy phases

  • Restricted earth fault: For transformer protection

Special Protection Schemes

Generator Protection

  • Stator protection: Differential, earth fault, inter-turn fault

  • Rotor protection: Earth fault, inter-turn fault

  • System-related protection: Reverse power, loss of excitation

  • Over/under frequency protection

  • Negative sequence protection: Unbalanced loading

  • Loss of synchronism protection

  • Capability curve: P-Q diagram limits

Transformer Protection

  • Gas actuated relay (Buchholz): Mechanical protection

  • Thermal protection: Winding temperature indicator

  • Electrical protection: Differential, overcurrent, earth fault

  • Magnetizing inrush current: 2nd harmonic content

  • Vector group compensation in differential protection

  • Tap changer protection

  • Through fault withstand capability

Motor Protection

  • Starting protection: Thermal overload, locked rotor

  • Running protection: Phase unbalance, earth fault

  • Stalling protection: Thermal and electrical

  • Bearing protection: RTD-based temperature monitoring

  • Surge protection: For variable frequency drives

  • Single phasing protection: Negative sequence relay

  • Starting time limitation: Thermal capacity curve

Busbar Protection

  • High impedance scheme: Simple, economical

  • Low impedance scheme: More sensitive, complex

  • Differential protection principle

  • Zone overlap: Avoiding blind spots

  • CT saturation effects

  • Check synchronism relay

  • Bus transfer schemes

Current and Voltage Transformers

Current Transformers (CTs)

  • Accuracy classes: 0.1, 0.2, 0.5, 1.0, 3.0, 5.0

  • Protection class: 5P, 10P (P = Protection)

  • Burden: Connected load in VA

  • Saturation: Knee point voltage

  • CT ratio: Primary/Secondary (e.g., 400/1A)

  • Polarity: Subtractive or additive

  • Core balance CT: Zero sequence current measurement

Voltage Transformers (VTs)

  • Accuracy classes: 0.1, 0.2, 0.5, 1.0, 3.0

  • Burden: Connected load in VA

  • Ferranti effect: Capacitive loading

  • Ratio: Primary/Secondary (e.g., 11000/110V)

  • Electromagnetic VT: Up to 35 kV

  • Capacitive VT: Above 35 kV

  • Neutral grounding: Broken delta connection

GATE Focus Areas

GATE Focus Areas

  • Numerical problems on relay settings and coordination

  • Zone of protection diagrams and overlap

  • CT ratios and burden calculations

  • Comparison of different protection schemes

  • Circuit breaker ratings and selection criteria

  • Time-current coordination curves

  • Fault calculation for protection applications

  • Distance relay characteristics and settings

  • IDMT relay calculations and TMS settings

Sample Questions

Sample GATE Questions - 1

Example

A 400 kV system has a fault level of 25 kA. The circuit breaker should have a breaking capacity of at least:

  • 10 kA

  • 25 kA

  • 40 kA

  • 63 kA

Answer: B) 25 kA

Sample GATE Questions - 2

Example

For a distance relay with Zone 1 set to 80% of line impedance, if the line impedance is 20 \(\Omega\), the relay reach is:

  • 16 \(\Omega\)

  • 20 \(\Omega\)

  • 24 \(\Omega\)

  • 25 \(\Omega\)

Answer: A) 16 \(\Omega\)

Sample GATE Questions - 3

Example

In differential protection, percentage bias is used to:

  • Increase sensitivity

  • Prevent maloperation due to CT errors

  • Reduce operating time

  • Increase fault current

Answer: B) Prevent maloperation due to CT errors

Sample GATE Questions - 4

Example

The 2nd harmonic component is used in transformer differential protection to:

  • Detect internal faults

  • Prevent operation during inrush current

  • Improve sensitivity

  • Reduce operating time

Answer: B) Prevent operation during inrush current

Sample GATE Questions - 5

Example

A standard inverse IDMT relay has TMS = 0.5 and PSM = 4. The operating time is approximately:

  • 0.19 sec

  • 0.38 sec

  • 0.57 sec

  • 0.76 sec

Answer: A) 0.19 sec (Using SI formula: \(t = \frac{0.14 \times 0.5}{4^{0.02} - 1} \approx 0.19\) sec)