Course Info
The course provides advanced knowledge about application of optimization methods in the analysis and simulation of power systems. Students will acquire a general knowledge and skills, as well as specific knowledge necessary for the implementation and solution of modern optimization problems in the field of electricity networks within the software package GAMS / PYOMO.
Course materials are available at FESB MERLIN.
Course content
- Introduction to Mathematical Programming
- Introduction to the software package GAMS / Pyomo
- The problem of linear, mixed-integer, and nonlinear programming. Application of methods to the problem of: AC / DC optimal power flow, optimal unit commitment, optimal control of reactive power / voltage, optimal capacity allocation of RES, optimal coordinated management of RES in the distribution system …
- Decomposition optimization methods. Benders decomposition: Application of methods to the problem of: multi-period optimal power flow, transmission expansion planning, optimal allocation of RES capacity…
- Simulation of stochastic time series. The method of vector autoregression. Application of methods to the problem of: the generation of correlated and autocorrelated time series: wind speed data, system load, the forecasting error, …
- Probabilistic power flow calculations: Monte Carlo method, method of cumulants, point estimate method, …
- The problem of stochastic optimization. Application of methods to the problem of: stochastic optimal power flow, optimal unit commitment in systems with high shares of wind power, determination of optimal system reserves, …
- Heuristic optimization methods. Application of methods to the problem of: optimal control of reactive power / voltage, optimal power flow,…
Course Literature
- Enrique Castillo, Antonio J. Conejo, Pablo Pedregal, Ricardo García, Natalia Alguacil: Building and Solving Mathematical Programming Models in Engineering and Science//, Wiley, November 2001
- Jizhong Zhu: Optimization of Power System Operation// Wiley-IEEE Press, 2009.
- Kothari D. P., Dhillon J. S.: Power system optimization// Prentice – Hall of India, New Delhi, 2007.
- Richard E. Rosenthal: A GAMS Tutorial
- Kwang Y. Lee, Mohamed A. El-Sharkawi: Modern Heuristic Optimization Techniques: Theory and Applications to Power Systems//, Wiley-IEEE Press, March 2008,
- Richard E. Rosenthal: GAMS - A User’s Guide// GAMS Development Corporation, Washington, DC, USA, March 2014