Optimal operation of a virtual power plant in frequency constrained electricity market

In this study, optimal offering strategy problem of a virtual power plant (VPP) as a price-maker player in day-ahead frequency constrained electricity market is presented. The optimal offering strategy problem is modelled as a bi-level optimisation problem. In the upper-level problem, the total prof...

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Veröffentlicht in:IET generation, transmission & distribution Jg. 13; H. 11; S. 2123 - 2133
Hauptverfasser: Mousavi, Mohammad, Rayati, Mohammad, Ranjbar, Ali Mohammad
Format: Journal Article
Sprache:Englisch
Veröffentlicht: The Institution of Engineering and Technology 04.06.2019
Schlagworte:
big‐number mathematical technique
bi‐level optimisation problem
day‐ahead frequency
duality (mathematics)
equilibrium constraints problem
frequency constrained electricity market
integer programming
Karush–Kuhn–Tucker conditions
linear programming
lower‐level problem
mathematical programming
mixed‐integer linear programming problem
MPEC problem
optimal offering strategy problem
optimal operation
optimisation
power markets
price‐maker player
pricing
renewable energy sources
Special Issue: Emerging Technologies for Virtual Power Plant and Microgrid
strong duality theorem
upper‐level problem
virtual power plant
VPP
big-number mathematical technique
frequency constrained electricity market
renewable energy sources
optimal offering strategy problem
integer programming
strong duality theorem
virtual power plant
linear programming
upper-level problem
bi-level optimisation problem
MPEC problem
mathematical programming
mixed-integer linear programming problem
optimal operation
optimisation
day-ahead frequency
equilibrium constraints problem
price-maker player
Karush–Kuhn–Tucker conditions
VPP
duality (mathematics)
power markets
pricing
lower-level problem
ISSN:1751-8687, 1751-8695
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Beschreibung
Zusammenfassung:In this study, optimal offering strategy problem of a virtual power plant (VPP) as a price-maker player in day-ahead frequency constrained electricity market is presented. The optimal offering strategy problem is modelled as a bi-level optimisation problem. In the upper-level problem, the total profit of VPP is maximised. In the lower-level problem, the clearing conditions of frequency constrained electricity market are modelled. The proposed bi-level optimisation problem is reformulated as a mathematical programming with equilibrium constraints (MPEC) problem by using Karush–Kuhn–Tucker conditions. Then, the proposed MPEC problem, which is non-linear and hard to solve by commercial solvers, is transformed into a mixed-integer linear programming problem by using strong duality theorem and big-number mathematical technique. Here, stochastic optimisation is included in the modelling to enable the VPP for optimisation in the presence of uncertainties, e.g. renewable energy source generations, demands, and offering strategies of rivals. Finally, the effectiveness of proposed model is investigated by implementing it on various case studies.
ISSN:1751-8687
1751-8695
DOI:10.1049/iet-gtd.2018.5204