University of Leeds Featured PhD Programmes
King’s College London Featured PhD Programmes
University of Liverpool Featured PhD Programmes
University of Kent Featured PhD Programmes
University of Reading Featured PhD Programmes

Mathematical modelling of electrical power systems for a low-carbon future

  • Full or part time
  • Application Deadline
    Friday, April 12, 2019
  • Funded PhD Project (Students Worldwide)
    Funded PhD Project (Students Worldwide)

Project Description


1. To develop and study models of an electrical power grid operating under various future energy scenarios including a high level of renewables, including using electricity price as a control parameter.
2. To investigate the roles of electricity storage, interconnectors and demand-side management in the control of the electricity system.
3. To investigate the challenges and opportunities of high levels of electric vehicles for the transmission and distribution systems and as a resource for power-system stability.

Methodology and innovation

The dynamics of AC power flow has been much studied by power systems engineers and control theorists. The AC power flow equations are computationally intensive for realistic networks, so it is common to approximate AC flow by proxy models, such as DC power flow, in which the transmission lines are assumed to be purely reactive, and the voltage is fixed at each bus. The model then reduces to the specification of real-power inputs at the buses together with a matrix giving the transmission line flows in terms of the powers at the buses. The so-called swing bus is used to balance network power.

The project will develop a differential-equation DC power flow transmission model of generation, storage, interconnectors, and demand-side management, modulated by price as an adaptive control mechanism, and will investigate its properties, both theoretical and in practice on real data, including the effects of system noise. Focus will be on studying the effect of high penetration of renewables as well several other future energy scenarios.

Depending on student preferences, the project will either expand the model to include aspects of physical AC flow, in particular voltage and frequency maintenance, or it will build a fully networked model (incorporating transmission losses), allowing an analysis of the effect of variable pricing at buses (individual or grouped), including nodal and zonal pricing.

Finally, the project will study the effect of high penetration of EV on transmission networks and distribution networks, using the models to understand how EV might be used as a resource for system stability and how such use might be effectively incentivised.


Applicants must apply using the online form on the University Alliance website at Full details of the programme, eligibility details and a list of available research projects can be seen at

The final deadline for application is 12 April 2019.

Funding Notes

DTA3/COFUND participants will be employed for 36 months with a minimum salary of (approximately) £20,989 per annum. Tuition fees will waived for DTA3/COFUND participants who will also be able to access an annual DTA elective bursary to enable attendance at DTA training events and interact with colleagues across the Doctoral Training Alliance(s).
This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 801604.

Related Subjects

Email Now

Insert previous message below for editing? 
You haven’t included a message. Providing a specific message means universities will take your enquiry more seriously and helps them provide the information you need.
Why not add a message here
* required field
Send a copy to me for my own records.

Your enquiry has been emailed successfully

FindAPhD. Copyright 2005-2019
All rights reserved.