Combined dynamic programming and region-elimination technique algorithm for optimal sizing and management of lithium-ion batteries for photovoltaic plants

Abstract

The unpredictable nature of renewable energies is drawing attention to lithium-ion batteries. In order to make full utilization of these batteries, some research works are focused on the management of existing systems, while others propose sizing techniques based on business models. However, in order to optimise the global system, a comprehensive methodology that considers both battery sizing and management at the same time is needed. This paper proposes a new optimisation algorithm based on a combination of dynamic programming and a region-elimination technique that makes it possible to address both problems at the same time. This is of great interest, since the optimal size of the storage system depends on the management strategy and, in turn, the design of this strategy needs to take account of the battery size. The method is applied to a real installation consisting of a 100 kWp rooftop photovoltaic plant and a Li-ion battery system connected to a grid with variable electricity price. Results show that, unlike conventional optimisation methods, the proposed algorithm reaches an optimised energy dispatch plan that leads to a higher net present value. Finally, the tool is used to provide a sensitivity analysis that identifies key informative variables for decision makers.

Multi-Objective Sizing of Hybrid Energy Storage System for Large-Scale Photovoltaic Power Generation System

“…As depicted in Figure 1, the framework of the method is as follows: Step1, the PV output of each typical weather condition was decomposed into target output curve, high frequency fluctuation and low frequency fluctuation; Step2, the high frequency fluctuation and low frequency fluctuation were analyzed considering the time ratio of each typical weather condition to determine the power capacity of HESS; Step3, a multi-objective mathematical model has been proposed considering system economy and output stability for the optimal sizing of the energy capacity of HESS. et al [30] designed a battery capacity optimization model with the objective of economic revenue maximization and solved it by employing dynamic programing and a region-elimination technique algorithm. Xu et al [31] proposed a capacity optimization model for battery/supercapacitor system to maximize annual profit and minimize wind curtailment rate.…”

“…Compared to analytical methods, simulations in the entire configuration space may be unnecessary for obtaining the optimum solution in a computationally efficient manner. The optimization objectives among these directed search-based methods mainly include economic indicators [30][31][32][33] and stability indicators [31,33]. Berrueta et al [30] designed a battery capacity optimization model with the objective of economic revenue maximization and solved it by employing dynamic programing and a region-elimination technique algorithm.…”

“…The optimization objectives among these directed search-based methods mainly include economic indicators [30][31][32][33] and stability indicators [31,33]. Berrueta et al [30] designed a battery capacity optimization model with the objective of economic revenue maximization and solved it by employing dynamic programing and a region-elimination technique algorithm. Xu et al [31] proposed a capacity optimization model for battery/supercapacitor system to maximize annual profit and minimize wind curtailment rate.…”

Optimal Management of the Energy Flows of Interconnected Residential Users

“…In addition, Chen et al [46] stated that the lack of empirical coefficients and predetermined parameters constitute one of the main advantages in using DP. Nevertheless, DP may require higher computational time than linear algorithms [47], especially if the number of variables increases [46]. Thus, DP may not be suitable for online applications.…”

Convergence Analysis of Capacities for Photovoltaics and Energy Storage System Considering Energy Self-Sufficiency Rates and Load Patterns of Rural Areas

“…An energy storage system (ESS), which is connected to a grid to store energy during the absence of power generation, is crucial for addressing such problems [5]. Recently, ESSs using lithium-ion batteries (LIBs) have become popular, and are expected to be key in addressing issues such as sudden blackouts caused by unstable power supplies or for control of the power demand [6][7][8][9]. In the case of reclaimed land and reservoirs that are suitable for large power generation (around 100 MW), there have been challenges in connecting the power generation facilities to the main power grid.…”