A two‐stage stochastic optimisation model for the water value calculation in a hybrid diesel/wind/pumped‐storage power system

Abstract

This study presents a two-stage stochastic linear programming (LP) model to calculate the water value in an isolated hybrid diesel/wind/pumped-storage power system with high wind power penetration and with a closed-loop pumped-storage power plant (i.e. there is no natural inflows in the upper pond), that takes into account in an approximate manner that the startup cost of the diesel units depends on the time passed since the previous shutdown. The proposed model is applied in the power system of El Hierro island in the Canary Archipelago. The water values provided by the proposed model have been used as input for the day-ahead generation scheduling. The results obtained in the study indicate that the day-ahead generation schedule obtained when using the water values provided by the proposed model is similar to the one obtained when using the water values provided by a detailed mixed integer LP (MILP) model. The computational time required to obtain the water value with the proposed model is several orders of magnitude lower than the one needed to solve the MILP model. 2 per unit power output/input of unit i ∈ V between P i and P i during the period t for the LP2 model

Unit commitment in a hybrid diesel/wind/pumped‐storage isolated power system considering the net demand intra‐hourly variability

“…The power system used as a case study corresponds to the one of El Hierro Island in Spain. The technical and cost parameters of the power system's units are the same as the ones used in [25], where the reader is referred for further details. El Hierro Island is a hybrid diesel/wind/pumped-storage power system with a closed-loop pumped-storage plant, that is, with no natural inflows in the upper pond.…”

“…The hourly net demand scenario tree used in this paper has the same structure (see Figure 1), length (2 weeks) and number of scenarios (9) as the one used in [25]. Please note that the total variable renewable generation in the El Hierro Island power system comprises only wind power generation so it can FIGURE 4 Calculation of the wpv t for time step t be referred indistinctly to as VRG or as wind power.…”

Analysis of the Implementation of the Primary and/or Inertial Frequency Control in Variable Speed Wind Turbines in an Isolated Power System with High Renewable Penetration. Case Study: El Hierro Power System

“…This isolated system, and consequently the model developed in Matlab Simulink [8] that is shown in Figure 1b, is composed of a hydropower plant, a pump station equipped with VSPs and FSPs, a wind farm, the Automatic Generation Control (AGC), the power system and the power demand sensitive to frequency deviation. The power lines' dynamics are ignored as their influence on the frequency system is not significant [28]. The electromagnetic transients and pump station converter dynamics are supposed to be much faster than the other components of the model, so their influence in the system's dynamics can be also omitted [29].…”

Contribution of non‐conventional pumped‐storage hydropower plant configurations in an isolated power system with an increasing share of renewable energy

“…The model used in this paper to calculate the system's water value is formulated as a two-stage stochastic linear program, as suggested in [35]. The LPSTO model has a two-week planning horizon (see Section 3.3 for details about how the planning horizon has been determined).…”

“…The second stage of the LPSTO model comprises the last 312 h of the planning horizon. The uncertainty in the system's net demand in the second stage of the LPSTO model has been modelled by means of N scenarios, as in [35]. The scenario tree used in the paper is depicted in Fig.…”