Department of Electric Power Engineering

PhD Courses



ET8100 Electric Conductivity, Dielectric Losses and Breakdown of Solid and Liquid High Voltage Insulation


Supervisor: Erling Ildstad


The purpose of the course is to give an indepth review of limiting factors regarding application of different dielectric materials in High voltage apparatus.


The following main topics are covered:

  • Electrical conduction in glass, oil and other amorphous dielectrics due to movement of ions and particles.
  • Electronic conduction in partly crystalline solid materials, focusing on influense of applied electric field and temperature. Schottky, Poole-Frenkel and Spacecharge limited currents are particularly discussed.
  • Physical description of Permittivity and dielectric loss with respect to Clausius Mosottis equations, the Debye relaxation, Garton effects,ion and interface polarisation as basis for frequency and time domain description of dielectric responce.
  • Electric breakdown of solid and liquid dielectrics, including statistical methods for evaluation of breakdown data.
  • The course will focus on description of mechanisms regarding the commonly used insulating materials: Polymers, oil/paper and glass.

Course information ET8100



ET8101 Transient Overvoltages in Electrical Power Systems


Supervisor: Hans Kristian Høidalen


Understand the principles for accurate calculation of power system transients. Achieve knowledge of methods for advanced modelling of transmission lines and transformers valied under steady state and transient conditions.


The course presents methods for accurate calculation of transients in electrical power systems.

Main content:

  • Summary of types of transients.
  • Modelling of components (overhead lines, cables and transformers) - Analysis of travelling wave problems. Formulation and solutions in time and frequency domain when losses and distortion is taken into account. Fourier transforms, modal analysis, and vector fitting.
  • Description and analysis of ferroresonance and inrush currents in transformers.
  • Lightning induced overvoltages.

Course information ET8101



ET8102 Testing of High Voltage Insulation


Supervisor: Frank Mauseth


Understand the principles of generation and measurement of high voltage in the laboratory for testing of equipment. Develop a critical sense related to measurement set-ups and accuracy.


Methods for generation of test voltages in high voltage laboratories and principles of measurement techniques related to testing of materials and components.

Some main topics:

  • Generation of high AC- DC- and impulse voltages.
  • Measurement of various types of voltages.
  • Rated voltages and standardize test methods.
  • Accellerated tests.
  • Probability considerations and comparison between laboratory tests and real systems.
  • Case study of testing a component.

Course information ET8102



ET8104 Transformer design


Supervisor: Arne Nysveen


The course is intended for an in depth study of power transformers. Briefly the main topics of interest are history design, application, planning, installation, and maintenance.

Course information ET8104



ET8202 Power System Stability and Control


Supervisor: Olav B. Fosso


General background and overview of power system stability issues (angle and voltage stability, transient, midterm and long-term stability)


  • Synchronous machine theory and modelling
  • Machine representation in stability studies
  • AC transmission components
  • Power system loads
  • Excitation systems
  • Prime movers and energy supply systems
  • HVDC
  • Control of active power and reactive power
  • Small-signal stability
  • Transient stability

Course information ET8202



ET8206 Voltage Quality


Supervisor: Kjell Sand


The course will give a thorough understanding of the main voltage quality phenomena with respect to physical understanding, analysis and measurements


The goal is to give insight in physical understanding, analysis and measurements of technical voltage quality elements in electrical transmission and distribution systems and their impact on customer loads and installation. The following voltage quality elements are addressed:

  • Power frequency.
  • Magnitude of the supply voltage
  • Supply voltage variations
  • Rapid voltage changes o Single rapid voltage change o Flicker severity
  • Supply voltage dips -Short interruptions of the supply voltage
  • Supply voltage unbalance
  • Harmonic voltages

Each phenomenon will be dealt with as follows: Theory, modeling, physical impact on the electricity system and the connected installations. How the different phenomena can be simulated and measured is also delta with as well as means for voltage quality problem mitigation.


Course information ET8206



ET8207 Power System Reliability and Security


Supervisor: Gerd Kjølle


The course will give a thorough understanding of the main principles in power system reliability and security analysis as well as knowledge of different methods and tools for reliability analysis.


The course will give an introduction to the main principles and objectives of power system reliability and security analysis: Basic terms and definitions, problems to be addressed, overview of methodologies for contingency analysis and reliability analysis, reliability models including dependencies, input data and main results such as interruptions and societal impact.

The following topics are covered:

  • Contingency analysis and different power flow techniques
  • reliability analysis of transmission and distibution systems
  • analysis of time dependencies
  • analysis of reliability data (input to reliability analysis)

Course information ET8207



ET8208 Power Market Theory


Supervisor: Gerard Doorman


The course will give a thorough understanding of a number of central issues in power markets, as well as methods an theories that are in use or proposed to solve these issues.


Security of supply and vulnerability Security of supply, specifically related to incentives for investment in generation, but also transmisson, is an unsolved challenge in today's power markets.

The course will discuss the background of the problem and introduce presently implemented and proposed solutions.

  • Transmission pricing including constraint handling
  • Various methods for transmission pricing and transmission constraint handling are presented and analyzed.
  • Focus on flow-based market splitting, which is an evolution and generalization of the price area model used in Norway.
  • Transit through other control areas.
  • Market power
  • Alternative models for analysis of market power in power markets.
  • Market power in relation to transmission constraints.
  • How is market power measured, what can be done to reduce or avoid market power.
  • International practice and experience.
  • Ancillary services
  • Handling of ancillary services in various power markets.
  • Demand flexibility

Present power markets are mostly one-sided: producers are active market participants, while consumers are more or less passive. This has a number of negative effects, and development of a more flexible demand side will result in substantial improvements. Backround, opportunities and developments.


Course information ET8208



ET8209 Methods for Power Production Scheduling


Supervisor: Gerard Doorman


The course will give a thorough understanding of a number of central issues in optimal scheduling of power generation, kn both hydro and thermal power systems.


The goal is to give insight generation scheduling in mixed hydro-thermal power systems. An importan theme hydro production scheduling, basic and more advanced methods and challenges in a restructured power system. Theory for thermal power scheduling and unit commitment. The course will include the dominating methods in Norway today, but also introduce approaches from economics and from other countries.


Course information ET8209



ET8300 Digital Signal Processing in Power Electronic Systems


Supervisor: Lars Norum


The course aims to give knowledge about design of control systems for electrical energy conversion.


The course will give an introduction to analysis and design of electronic systems for digital signal processing and energy efficient control of electrical energy conversion systems. Methods for mathematical modelling of system elements and methods for utilizing Digital Signal Processors(DSP)and other components for control of power electronic converters will be covered.

A laboratory project with individually designed laboratory exercises will help the student to practice the information presented.


Course information ET8300



ET8301 Magnetic Design of Permanent Magnet Machines


Supervisor: Robert Nilssen


Give a deep understanding of the aplication of permanent magnet materials in traditional and new electrical machine desgins. Advanced winding designs and analytical methods are included.


Aim of the course is to give the student an understanding of fundamental construction principle applied on modern constructions as permanent magnet machines. The course emphasizes decision of magnetic fields and belonging forces, losses and construction characterizing parameters. A study of construction example will be undertaken. In this study several sub topics to provide a good overall solution is discussed.

Entry for the sub topics in the course is:

  • Magnetic and electric fields,
  • Generally limiting factors,
  • Calculation of losses,
  • Cooling,
  • Insulation,
  • Winding layout,
  • Magnetic core material,
  • Permanent magnet material,
  • Optimization,
  • Cost modelling

Course information ET8301



ET8303 Power Electronics, Power Semiconductor Physics and Reliability


Supervisor: Tore Undeland


The course aims to give a deep understanding of semiconductor physics and the role of semiconductor physics in optimal and reliable power electronics converter design.


These topics are included:

  • Physics for optimal utilization of power semiconductors: Power diodes, power transistors, thyristors, Gate Turn-Off Thyristors, Insulated Gate Bipolar Transistors, SiC components.
  • Snubbers
  • Gate drivers
  • Cooling
  • Design of high frequency magnetic components

Course information ET8303



ET8304 Reactive Power Compensation with Power Electronics


Supervisor: Marta Molinas


To give a thorough understanding of the capabilities of power electronic technology for reactive power provision in electric power systems. Envisioning beyond the state of the art.


Course Objective: Advances in Power electronics Industry led to rapid development of Power Electronics controllers for fast reactive power control. The aim of the course is to introduce these advancements for power system support.

Advantages and disadvantages of different types or reactive power compensation systems: passive/active, fixed/regulated series/shunt compensations, optimum location.

Principle of Reactive Power control in load and transmission line compensation. General capabilities of voltage source converters and current source converters in providing reactive power (HVDC, variable speed motor drives, distributed generation interfaced by power electronics).

Reactive power comensating devices:

  • Static Var Compensator(SVC): Principle of operation, configuration and control capabilities
  • Thyristor Controlled Series compensator(TCSC): Principle of operation, configuration and control capabilities
  • Static Compensator(STATCOM): Principle of operation, configuration and control capabilities Control Issues:
  • Issues of steady state and transient stability control with SVC and STATCOM: SVC, STATCOM control strategy, rating considerations

Course information ET8304



ET8400 Lighting Design


Supervisor: Eilif Hugo Hansen


The course will give a deeper understanding of design of lighting systems.


Design criteria - quantity and quality, lighting concepts, luminaire design, calculation methods, measuring technique, documentation


Course information ET8400



ET8500 PhD seminar in Electrical Power Engineering


Supervisor: Olav B. Fosso


The seminar is given when needed, autumn and spring. The course uses selected (part of) books, papers and other relevant material at advanced levels.


Course information ET8500