Application of design space methodology for optimum sizing of wind–battery systems

Optimum sizing of wind-battery systems incorporating resource uncertainty

“…The concept of design space was originally applied by Poddar and Polley [34] for design and optimization of heat exchangers. Subsequently, the efficacy of the methodology has been explored to obtain optimum storage volume and collector area combination in solar water heating systems [35][36][37] as well as sizing of generator and storage in case of isolated power systems [7,8,[38][39][40]. The proposed methodology demonstrates the generation of design space for autonomous wind-battery power systems catering to different system reliability requirement through chance constrained programming approach.…”

“…For a given rotor diameter and blade geometry, the value of power coefficient (C p ) corresponding to the optimum value of tip speed ratio (k opt ) of the wind machine is calculated by the application of Blade Element Momentum (BEM) methodology [8] or equivalent correlation models. g 0 represents the combined generator and transmission system efficiency which can be found from the electrical generator model corresponding to a specific value of the wind speed [8]. Substituting for P w , k p and c p in Eq.…”

“…The chance constraint (8) suggests that the probability of the load being met has a certain confidence level which is denoted by v and thus, it defines the system reliability. Since the load is allowed to be met by the combined sources of battery bank and the wind turbine, for a small time step Dt, Eq.…”

“…Design procedures for wind-based isolated power systems have seen a widespread application of deterministic parameter modeling [3][4][5][6][7][8]. For example, sizing the battery bank for higher number of days of autonomy [5,9,10], sizing of the generator(s) based on the worst wind availability time period [9,11], and provision of capacity reserve margin [12].…”

A Review of Wind - PV Sizing Algorithms and a Case Study

“…In a different study Roy et al incorporated resource uncertainty in wind-PV system sizing [9]. On the other hand in another study Roy et al applied design space methodology for optimum sizing of wind-battery systems [10]. Hocaoğlu et al developed a very effective and novel method to size wind-PV systems [11].…”