22-Elec-B7 Power Systems Engineering
Worked solutions to 14 past sittings (2013–2019), 97 questions. Pick a sitting, or start from a topic below.
- December 2019
- December 2018
- May 2018
- December 2017
- May 2017
- December 2016
- May 2016
- December 2015
- May 2015
- December 2014
- May 2014
- December 2013
- May 2013
- Undated paper
Topics across the sittings
Topics that come up in more than one sitting, taken from the headings of our worked solutions. A topic counts once per sitting.
- Transformer Losses (6 sittings): December 2018 Q3 · December 2016 Q3 · December 2015 Q3 · May 2015 Q3 · December 2014 Q3 · May 2014 Q3
- Sequence Networks (5 sittings): December 2018 Q6 · May 2018 Q6 · May 2015 Q6 · December 2014 Q6 · December 2013 Q6
- Frequency (4 sittings): December 2016 Q3 · December 2015 Q3 · May 2015 Q3 · December 2014 Q3
- Mid-Line Three-Phase Fault (4 sittings): May 2018 Q5 · December 2017 Q5 · December 2014 Q5 · December 2013 Q5
- Transformer protection (4 sittings): December 2017 Q5 · May 2017 Q5 · May 2016 Q5 · December 2013 Q5
- Bus Classification (3 sittings): May 2017 Q4 · December 2013 Q4 · May 2013 Q4
- Bus Types (3 sittings): December 2017 Q4 · May 2014 Q4 · Undated paper Q4
- Consequences of Short Circuits (3 sittings): December 2015 Q5 · May 2015 Q5 · December 2014 Q5
- Efficiency (3 sittings): December 2017 Q3 · May 2017 Q3 · December 2013 Q3
- Equal-area criterion (3 sittings): December 2017 Q7 · December 2015 Q7 · May 2015 Q7
- Ferranti Effect (3 sittings): December 2018 Q1 · December 2015 Q1 · May 2015 Q1
- Round-Rotor Operating Table (3 sittings): May 2018 Q2 · December 2017 Q2 · May 2017 Q2
- ABCD constants (2 sittings): December 2017 Q1 · December 2016 Q1
- Armature reaction (2 sittings): December 2017 Q2 · May 2017 Q2
- Bundle Conductors (2 sittings): December 2016 Q1 · Undated paper Q1
Questions by sitting
December 2019
- Question 1: Per-unit analysis of a plant distribution system
- Question 2: Transmission-line parameters and the two-port model
- Question 3: Two-generator supply and load-flow bus types
- Question 4: Cylindrical-rotor synchronous generator — excitation, limits and construction
- Question 5: Zero-sequence network and shunt-fault currents
- Question 6: Transient stability by the equal-area criterion
December 2018
- Question 1: Ferranti Effect and Long-Line ABCD Performance
- Question 2: Salient-Pole Machine on an Infinite Bus
- Question 3: Transformer Losses and the Cantilever Equivalent Circuit
- Question 4: Exact Two-Bus Power Flow and Reactive Compensation
- Question 5: Network Reduction and Three-Phase Fault Analysis
- Question 6: Sequence Networks and a Double Line-to-Ground Fault
- Question 7: Equal-Area Stability under a Sustained Fault
May 2018
- Question 1: Power Factor of System Equipment; Bundled-Conductor Line Parameters and the Long-Line Model
- Question 2: The Reactive Capability Curve and a Round-Rotor Operating Table
- Question 3: Transformer Behaviour on a Changed Supply Frequency; Performance from the Cantilever Equivalent Circuit
- Question 4: The Slack Bus, and a Three-Bus Power-Flow Solution
- Question 5: Transmission-Line Protection Schemes, and a Mid-Line Three-Phase Fault
- Question 6: Sequence Networks and a Line-to-Line Fault at the Mid-Point of a Line
- Question 7: Transient Stability under a Sustained Fault, by the Equal-Area Criterion
December 2017
- Question 1: Long transmission line — ABCD constants, sending-end conditions and power-factor correction
- Question 2: Armature reaction, reactive-power capability and the round-rotor operating table
- Question 3: Single-phase transformer — primary quantities, efficiency and regulation
- Question 4: Bus types, fast-decoupled power flow, and a three-bus solution
- Question 5: Short-circuit consequences, transformer protection, and a mid-line three-phase fault
- Question 6: Line-to-line fault at the mid-point of a line — fault current and phase voltages
- Question 7: Transient stability under a sustained fault — equal-area criterion
May 2017
- Question 1: Bundle-Conductor Line Parameters and the Long-Line ABCD Constants
- Question 2: Armature Reaction, Reactive-Power Capability and the Round-Rotor Operating Table
- Question 3: Three-Winding Transformer — Currents, Voltages, Powers and Efficiency
- Question 4: Bus Classification and a Three-Bus Power-Flow Solution
- Question 5: Fault Consequences, Transformer Protection and a Mid-Line Three-Phase Short
- Question 6: Single Line-to-Ground Fault on a Sequence-Network Representation
- Question 7: Transient Stability by the Equal-Area Criterion
December 2016
- Question 1: Bundle Conductors, Line Capacitance and the ABCD Constants
- Question 2: Excitation, Reactive Power and the Salient-Pole Loading Table
- Question 3: Transformer Losses versus Frequency, and the Cantilever Model
- Question 4: Two-Bus Power Flow in Closed Form
- Question 5: Balanced Three-Phase Fault and the Line 1–2 Current
- Question 6: System Grounding and Single Line-to-Ground Fault Currents
- Question 7: Excitation Voltage and Transient Stability under a Sustained Fault
May 2016
- Question 1: ABCD to equivalent pi, parallel lines, and the machine behind them
- Question 2: Reactive power in the system, and the two-reaction salient-pole machine
- Question 3: Single-phase transformer: parameters from a load test, and input power from a known impedance
- Question 4: Completing the bus table of a four-bus network
- Question 5: Fault consequences, transformer protection, and a mid-line three-phase short
- Question 6: Single line-to-ground fault on an industrial bus
- Question 7: Transient stability under a sequence of faults and switchings
December 2015
- Question 1: Ferranti Effect and the Long-Line Model of a 765 kV Circuit
- Question 2: Excitation State and the Two-Reaction Salient-Pole Generator
- Question 3: Transformer Losses versus Frequency and a 50 Hz Unit Run at 60 Hz
- Question 4: Shunt Compensation and a Two-Bus Power Flow
- Question 5: Consequences of Short Circuits and a Bolted Fault on a Meshed Network
- Question 6: Per-Unit Sequence Networks and a Line-to-Line Fault Mid-Line
- Question 7: Equal-Area Criterion and the Critical Clearing Angle
May 2015
- Question 1: Ferranti effect and the exact long-line model
- Question 2: Excitation state and the salient-pole generated voltage
- Question 3: Transformer losses versus frequency and a 50-to-60 Hz transfer
- Question 4: Shunt capacitor switching on a two-bus system
- Question 5: Consequences of short circuits and a bolted three-phase fault
- Question 6: Sequence networks and a double line-to-ground fault
- Question 7: Equal-area criterion and the critical clearing angle
December 2014
- Question 1: Line Transposition and the Long-Line Model
- Question 2: Salient-Pole versus Cylindrical Rotor, and Two Operating Points
- Question 3: Transformer Losses versus Frequency, and Voltage along a Feeder
- Question 4: Shunt Capacitors, and a Linearised Three-Bus Load Flow
- Question 5: Consequences of Short Circuits, and a Mid-Line Three-Phase Fault
- Question 6: Sequence Networks and a Single Line-to-Ground Fault
- Question 7: Transient Stability under a Sustained Fault
May 2014
- Question 1: Transmission Capacity and the ABCD Two-Port
- Question 2: Salient-Pole Machine on an Infinite Bus
- Question 3: Transformer Losses, Tests and Regulation
- Question 4: Bus Types and a Three-Bus Power Flow
- Question 5: Three-Phase Faults on a Meshed Network
- Question 6: System Grounding and Ground Faults on a Plant Bus
- Question 7: Transient Stability under a Sustained Fault
December 2013
- Question 1: Transposition and the Exact Long-Line ABCD Model
- Question 2: Excitation Control and the Salient-Pole Power-Angle Equations
- Question 3: Three-Winding Transformer — Star Equivalent, Powers and Efficiency
- Question 4: Bus Classification and a Three-Bus Power-Flow Calculation
- Question 5: Short-Circuit Consequences, Transformer Protection, and a Mid-Line Three-Phase Fault
- Question 6: Sequence Networks and Single Line-to-Ground Faults
- Question 7: Transient Stability by the Equal-Area Criterion
May 2013
- Question 1: Line Parameters and the ABCD Two-Port Model
- Question 2: Line Transposition and the Salient-Pole Machine
- Question 3: Transformer Insulating Oil and the Cantilever Equivalent Circuit
- Question 4: Bus Classification and a Three-Bus Power Flow
- Question 5: Bolted Three-Phase Fault on a Two-Machine Network
- Question 6: Unsymmetrical Faults Seen at Breaker B 2
- Question 7: Transient Stability by the Equal-Area Criterion
Undated paper
- Question 1: Bundle Conductors and ABCD Performance of an 1800 kV Line
- Question 2: Reactive Power Sources and a Salient-Pole Operating Table
- Question 3: Frequency Change and the Cantilever Transformer Model
- Question 4: Bus Types and a Three-Bus Power-Flow Table
- Question 5: Three-Phase Bolted Fault on a Meshed Four-Generator System
- Question 6: System Grounding of an Industrial Distribution Bus
- Question 7: Equal-Area Stability under a Sustained Mid-Line Fault