Multi‐objective optimal configuration of stand‐alone microgrids based on Benders decomposition considering power supply reliability

Abstract

Power supply reliability (PSR) is a critical factor in the optimal configuration of standalone microgrids. Considering the impact of the failure outage of power generation and energy storage equipment, as well as the uncertainty of renewable energy on PSR, a multi-objective bi-level mixed-integer optimisation model is proposed. Based on Benders decomposition, the model is decoupled into a master problem (MP) of the equipment optimal configuration considering economy and environmental conservation and a subproblem (SP) of the PSR check. Considering the load importance hierarchy, two types of slack variables are introduced into the SP to ensure both the reliable power supply of important loads and the PSR of the system. Through interactive iteration of the MP and SP, the complexity of the optimisation model is considerably reduced, improving the solution efficiency while ensuring the rationality of the optimal configuration scheme. Finally, the effectiveness of the proposed model is verified by a typical stand-alone windphotovoltaic-diesel-battery microgrid system and analysed in terms of the impact of reliability requirement and energy storage on the configuration scheme and algorithm convergence.

Distributed Optimization of Multi-Microgrid Integrated Energy System with Coordinated Control of Energy Storage and Carbon Emissions

“…As a result, distributed algorithms are used to ensure the density and security of each microgrid. The mainstream distributed algorithms used are based on the Lagrangian relaxation (LR) method, including optimal condition decomposition (OCD) [5][6][7] and generalized benders decomposition (GBD) [8,9], which can realize a completely distributed solution for multi-region scheduling problems. Other distributed algorithms in use are based on the augmented relaxation description (ALD) method, including the auxiliary problem principle (APP) [10][11][12] and analytical target cascading (ATC) [13][14][15], which can improve the convergence performance of the high standard LR method [16].…”

Distributed energy management for underground engineering microgrid with reliable power supply

“…The microgrid dispatching aims to minimise the operation cost [12] and improve power reliability, which can realise the energy efficient utilisation [13]. Taking the demand response into account, a dispatching approach is proposed to increase photovoltaic absorption rate and decrease large load peak-valley difference, which can assure the system operates offline or connected to the grid [14].…”