Optimal sizing design of an isolated microgrid using loss of power supply probability

Abstract

Before building a microgrid, it is interesting to think about its optimal sizing design. How much the number of PV panels, batteries, wind turbines, fuel cells… that must be chosen into the microgrid. The best selection and the effective coordination between the different resources into the microgrid are so important and represent a crucial and challenging task. In this paper a methodology is developed to optimize the sizing design of an isolated microgrid composed of batteries, load and PV panels. The proposed method is based on the system reliability and the low cost of building taking into account some constraints related to energy limits and the supply demand balance. The loss of power supply probability (LPSP) as a reliability index of a microgrid is computed for different combination of PV panels and batteries. The optimal sizing design corresponds to the configuration which compromises between the low cost and the reliability system. The simulation results of this method are presented in this paper to prove its effectiveness.

Optimal Design of a Diesel-PV-Wind-Battery-Hydro Pumped POWER system with the Integration of ELECTRIC vehicles in a Colombian Community

“…The models for the remaining microgrid elements come from the current literature. The models for wind turbines, batteries, and diesel generators are from the work of Maleki and Askarzadeh [21], the photovoltaic panels use the model described in [22], and the hydro-pumped storage can be found in [23].…”

A MILP methodology to optimize sizing of PV - Wind renewable energy systems

“…To overcome this difficulty, many solutions have been proposed, such as modelling the uncertainty using fuzzy confidence intervals [12,13], by using a proper probability distribution functions (PDFs) [14] or Autoregressive Moving Average Model (ARMA) model for PV power system [15], even by using Markov chains rules [16]. Often, Authors did not consider the probabilistic aspects, but they used simple output functions for the energy produced by the RESs [17] or they consider the production from PV always under MPPT (Maximum Power Point Tracking System) conditions [15]. Moreover, most of the studies use a sequence of steady-state situations with a time interval (typically one hour), depending on PV and wind models [18,19].…”

“…In the MILP model there are therefore N+2 variables and 3*N + 3 constraints. Equations (11,12,13,14,15) summarize the model.…”

Optimal Sizing of Battery Energy Storage System for an Islaned Microgrid

“…There are three popular approaches to deal with sizing BESS [3]: energy balance approach, fluctuations stabilize approach, and the economic optimization approach. In [4], the authors follow the first approach by using the Loss of Power Supply Probability (LPSP), which ensures the power reliability of the system. In addition, in [3], a Discrete Fourier Transform is used for sizing BESS in order to compensate the imbalance power in the microgrid.…”