2.9. Methodology
Minimizing CO2 emissions on an electrically interconnected island represents an integral and challenging campaign to enhance the sustainability and efficiency of the energy system. With the coexistence of conventional power plants and renewable energy sources on the island, flexibility and optimal use of the energy produced is vital. An innovative approach involves the use of a hydrogen tank to store excess energy produced from RES sources. Additionally, the sustainability and independence of the island’s grid are also pursued, utilizing the interconnection only for power export to the mainland for financial gain. Therefore, the methodology’s pursuits are the achievement of the following grid properties:
Independence;
Sustainability;
Carbon neutrality.
Hydrogen storage is a central element in the mechanism for storing the energy produced, allowing it to be converted into electricity during periods of peak demand. This enhances the reliability of the energy grid, allowing excess energy to be sold either as electricity to other regions through the interconnection or as compressed hydrogen gas for industrial use.
The combination of conventional and renewable energy sources with the use of hydrogen storage allows for flexible and more efficient management of energy demand and supply. With the help of algorithms and computing systems solutions, it is feasible to determine the optimal combination of RES, conventional production units, and interconnection usage in collaboration with hydrogen production and storage in order to achieve a minimum environmental impact from CO2 emissions.
Creating a precise mathematical model to compute the parameters outlined in this study is intricate and heavily reliant on the unique conditions and attributes of the energy grid of the specific island under consideration. Based on aforementioned data, a simplified model has been devised to estimate the optimal performance of a hydrogen energy storage system, which follows these steps:
Simulation of Crete’s network as proposed.
Calculation of annual values based on key parameters.
Estimation of environmental and financial metrics based on real data.
Development of an optimization model to reach the desired goals under certain constraints.
The power dispatch strategy prioritizes grid stability and minimizes reliance on conventional fuels by employing a tiered approach. The priority chain commences by activating only the minimum essential load coverage from conventional power plants, ensuring stable operation while conserving conventional fuel resources. Subsequently, available energy from locally produced RES is directly utilized to meet demand, maximizing the use of clean and sustainable energy. If real-time RES production proves insufficient, the strategy incorporates stored energy, potentially captured from prior periods of high-RES production through electrolysis. This stored energy can be converted for use through fuel cells. In scenarios where demand surpasses both real-time RES production and stored energy capacity, conventional generation is proportionally increased up to their technical limits or until the hourly load is satisfied. As a final resort, if all previous stages are inadequate, a controlled import of energy from the external grid can be implemented, though this option is used sparingly due to potential dependence on external energy sources. The specified priority chain is summarized in
Figure 6:
The proposed approach for managing excess RES production exceeding the total hourly load and minimum conventional unit operation requirements employs a multi-step strategy. Firstly, the system prioritizes conversion of any surplus into hydrogen for storage in available tanks through electrolysis. The electrolysis process efficiency is estimated to be around 80% [
37]. This approach capitalizes on hydrogen as a viable storage solution, enabling the use of excess RES during low-demand periods. Following hydrogen storage prioritization, any remaining excess beyond the technical minimum and storage capacity is exported to the main grid. This export is limited to a pre-determined value. The export of surplus electric energy through the interconnector is subject to a pre-established nominal value. This value is contingent upon either the interconnector’s maximum load capacity or negotiated power purchase agreements with the relevant electricity provider.
Finally, if a surplus persists after storage and export, the strategy suggests the additional option of hydrogen production for sale, primarily targeting the industrial sector up to the full capacity of the electrolysis system. Any remaining excess production beyond this point is, thus, rejected by the system. The specified process is summarized in
Figure 7:
On an hourly basis, the simulation calculates the hourly RES production. This includes the RES production recorded for each hour T of the year 2023, CRETE RES[T] (sourced from HEnEx data) and the additional production from the RES system expansion. The production from the expansion is determined by multiplying the installed capacities of PV and WT systems (denoted as
and
) by the normalized output of a photovoltaic and wind park located in Crete, using Equation (1):
Direct RES refers to the renewable energy production that directly meets demand, as calculated in
Figure 8.
The determination of the hydrogen storage system’s state of charge is delineated across two figures:
Figure 9, illustrating the charging instances, and
Figure 10, depicting the discharging instances. The hydrogen system discharges hydrogen to contribute to load through the fuel cell system until satisfaction or total release. The tank is filled with green hydrogen produced through electrolysis by an amount attributed to the surplus of RES energy production or until full capacity.
If hydrogen storage is ample,
Figure 11 computes the contribution of the fuel cell system to the hourly demand. The fuel cell system’s priority is higher than the power plants’, which is so in order to decrease the carbon footprint associated with the emissions originating from the plants’ fuel consumption. The contribution of the fuel cell system is countified through the monitoring of the hydrogen tank’s state of charge for each hour.
Figure 12 calculates the amount of surplus energy effectively stored in the hydrogen tank for each hour.
In order to estimate the current annual CO
2 emissions derived from diesel and mazut, the data were used in [
38] and presented in
Table 7. Since the data concern the year 2021, the assumption being made is that the energy mix has not deviated significantly in the span of 2 years.
Using
Table 7, the shares of the two fuels of the total conventional production are estimated. This is achieved by estimating the efficiency of the two fuels, which is calculated using
Table 8 and [
39]. Similarly to
Table 7, the contents of
Table 8, which concern the year 2020, are assumed to remain relatively the same in 2023.
Figure 13 computes the combined hourly contribution of the diesel and Mazut power plants for each hour of the simulation.
To estimate the annual carbon emissions generated during the simulation, the emission factors of diesel and Mazut were used ([
40,
41]) to calculate the annual CO
2 production, as presented in
Table 9.
By referring to
Figure 13 and
Table 7 and
Table 9, the annual emissions can be calculated as the percentage of each fuel’s contribution to the total power plant production multiplied by their respective emission factor under the assumption of identical fuel participation in 2023. Equation (2) represents this relationship.
The system’s emissions are linearly correlated to the annual energy produced by the conventional system, which can be decreased down to the total sum of the hourly lower limit, a crucial aspect to be commented on in the appropriate section.
The calculation of the energy import needed to fulfill the remaining demand is depicted in
Figure 14. To ensure the simulation’s hourly power balance, the imported energy is equal to the amount needed if all other measures do not suffice. The imports are attributed with the least priority, opting for their removal after the optimization process.
In contrast to imports, exported energy is constrained by the capacity of the interconnection, which imposes an upper limit. The constraint is especially useful in case of extended renewable energy production, particularly from PV and WT systems, that could substantially increase during periods of intense sunlight and wind. Such limitation would turn out to be crucial, as surplus energy can be directed towards hydrogen production or rejected energy, which cannot be utilized by the system. From a financial perspective, this may also be advantageous, especially if revenue from selling green hydrogen exceeds that from exporting electricity via the interconnection, which often fluctuates in price according to the country’s energy exchange.
The calculation of surplus energy sold to the main grid is illustrated in both
Figure 15 and
Figure 16. The algorithm has been divided into two images to improve readability.
If the electrolyzed energy has not reached its nominal value, the remaining energy is utilized for hydrogen production intended for industrial purposes, a crucial part of the business scheme, as it is the main contributor to the system’s financial gain. The quantity is determined as illustrated in
Figure 17.
The calculation of the mass of hydrogen produced (in kilograms) requires the use of the lower heating value of hydrogen (LHV H
2) set at 33.33 kWh/kg. The resultant mass of hydrogen to be compressed for sale is then determined using Equation (3):
Losses are attributed solely to the hydrogen system. Losses associated with electricity production and transmission from RES and the conventional system are considered negligible due to their minimal impact on the overall efficiency. Additionally, the transmission losses through the interconnection are regarded as practically nonexistent, given the high efficiency involved in the interconnection infrastructure. This assumption simplifies the analysis by focusing on the most significant source of energy loss, the hydrogen system.
Figure 18 provides a quantification of the losses linked to the operation of the electrolyzer and/or fuel cell system.
The limited hydrogen storage, export capacity of the interconnection, and maximum hourly capacity of the electrolyzer system imply the possibility of rejection of RES production in case of surplus. The annual rejections of the system are considered an important metric of the design’s efficiency. High rates of rejections imply RES installation that neither contributes to the island’s electricity demand nor is exported through the interconnection, therefore failing to contribute financially. Combined with their high cost of installation and maintenance, they could potentially burden the expenses of the investment needlessly.
The flowchart in
Figure 19 details the methodology used to estimate the system’s rejected power per operating hour, ensuring power balance for all hours of the simulation:
After computing the hourly values to simulate the system’s operation, the sustainability metrics utilized encompass the assessment of capital expenditure and net present value. This evaluation leverages the prices associated with the necessary components for investment and consumable costs, as detailed in
Table 10. Using as reference [
42,
43],
Table 10 lists inverters necessary for converting DC current generated by PV, WT, and the fuel cell system into AC current, as well as a compressor for compressing electrolysis-produced green hydrogen and storing it in suitable hydrogen tanks.
The interconnection price is determined to be equivalent to the HEnEx Market Clearing Price (MCP) published in the HEnEx platform for each hour of the year, denoted in EUR/MWh, to which Crete, like all market participants, is subject.
The expected lifespans of the fuel cell and electrolyzer system are estimated to be 10 years, whereas those of PV and WT are projected to be 20 years. Using
Table 10, the NPV is calculated using Equation (4):
The CAPEX comprises the costs associated with the PV and WT installation, coupled with inverters and the hydrogen system, which includes the electrolysis system, fuel cell system, hydrogen tank, inverter connected to the fuel cell, and compressor.
Cash inflows comprise revenue generated from exported energy, calculated by multiplying the exported energy amount by the interconnection price, along with income from hydrogen sales, determined by multiplying the quantity of hydrogen sold (in metric tons) by its price. Conversely, cash outflows encompass expenses such as grid import costs, fuel expenses for conventional system operation, total operational and maintenance costs of the RES system (estimated as an annual percentage of the installation cost), as well as operational and maintenance (O&M) costs of the hydrogen system.
The carbon neutrality metrics are calculated through the estimation of carbon emissions produced by energy production, transport and residential heating, and carbon absorption through the island’s primary cultivation. Along with the system’s emissions, the island absorbs the carbon emissions at a certain rate through the natural process of carbon sequestration. According to [
44], olive tree is the dominant cultivated tree in Crete, occupying an area of 142,900 ha. The same reference presents the annual absorption of CO
2 from olive groves and annual emission for heating purposes in residences, while [
45] presents the annual generation of CO
2 for transportation within the island’s road grid. The data are compiled in
Table 11.
Table 11 outlines the overall emissions attributed to electricity production for achieving net zero carbon in Crete. In the proposed simulation without hydrogen storage, emissions are estimated to amount to 920,138.9 tCO
2. The objective is to align the emissions from all three activities (electricity generation, residential heating, and transportation) with the annual absorption rate from olive groves.
To achieve that goal, an optimization model is formulated, using as the model’s decision variables the PV installed capacity (), WT capacity () to be installed in order to increase the annual RES production, the capacity of the electrolyzer system (ELCAP), and the storage capacity (in energy units) of the hydrogen tank (STCAP), serving as storage method for the compressed hydrogen gas stemming from electrolysis. The installed capacity of the fuel cell is selected to be equal to the capacity of the electrolyzer.
The objective is to decrease CO
2 emissions from the energy system to match the disparity between emissions from heating and transportation and carbon absorption. Consequently, the objective function represents the annual CO
2 emissions generated by electricity production, computed using Equation (2). The constraints encompass the positivity of decision variables and zero NPV to determine the CAPEX required for the long-term sustainability of the system. In essence, the optimization problem is structured as follows:
Subject to the constraints:
The emissions of the energy system, determined by Equation (2), rely on the values of TOTAL CONV[T]. The conditional computation of these values introduces a non-linear attribute to the objective function.
The simulation is conducted within a specific scenario where the technical lower and upper limits of total conventional production are set to the minimum and maximum values observed in the time series depicted in
Figure 3. Additionally, the maximum hourly power import or export through the interconnection is set at 150 MW, and the initial storage of the tank equals its capacity. The chosen fuel cell technology is the PEM fuel cell, with an overall efficiency of 60% and electrolysis efficiency of 80%.