Bilevel aggregator-prosumers' optimization problem in real-time: A convex optimization approach
نویسندگان
چکیده
This paper proposes a Real-Time Market (RTM) platform for an aggregator and its corresponding prosumers to participate in the electricity wholesale market. The proposed energy market is modeled as bilevel optimization problem where are considered self-interest agents. current state-of-the-art Mathematical Programming with Equilibrium Constraints (MPEC) Mixed-Integer (MIP) based approaches solve problems not satisfactory real-time applications. computation time such grows exponentially number of decision variables increase. presents convex which can capture subset set global optima optimal solution.
منابع مشابه
Real-Time Convex Optimization
This chapter concerns the use of convex optimization in real-time embedded systems, in areas such as signal processing, automatic control, real-time estimation , real-time resource allocation and decision making, and fast automated trading. By 'embedded' we mean that the optimization algorithm is part of a larger, fully automated system, that executes automatically with newly arriving data or c...
متن کاملSuccessive Convex Relaxation Approach to Bilevel Quadratic Optimization Problems
The quadratic bilevel programming problem is an instance of a quadratic hierarchical decision process where the lower level constraint set is dependent on decisions taken at the upper level. By replacing the inner problem by its corresponding KKT optimality conditions, the problem is transformed to a single yet non-convex quadratic program, due to the complementarity condition. In this paper we...
متن کاملConvex Optimization of Real Time SoC
Convex optimization methods are employed to optimize a real-time (RT) system-on-chip (SoC) under a variety of physical resource-driven constraints, demonstrated on an industry MPEG2 encoder SoC. The power optimization is compared to conventional performance-optimization framework, showing a factor of two and a half saving in power. Convex optimization is shown to be very efficient in a high-lev...
متن کاملA Multicriteria Approach to Bilevel Optimization
In this paper we study the relationship between bilevel optimization and multicriteria optimization. Given a bilevel optimization problem, we introduce an order relation such that the optimal solutions of the bilevel problem are the nondominated points with respect to the order relation. In the case where the lower level problem of the bilevel optimization problem is convex and continuously dif...
متن کاملA Semidefinite Optimization Approach to Quadratic Fractional Optimization with a Strictly Convex Quadratic Constraint
In this paper we consider a fractional optimization problem that minimizes the ratio of two quadratic functions subject to a strictly convex quadratic constraint. First using the extension of Charnes-Cooper transformation, an equivalent homogenized quadratic reformulation of the problem is given. Then we show that under certain assumptions, it can be solved to global optimality using semidefini...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Operations Research Letters
سال: 2022
ISSN: ['0167-6377', '1872-7468']
DOI: https://doi.org/10.1016/j.orl.2022.08.008