Explore the optimization of a theoretical solar farm in Egypt, powering a self-sustaining compound of 50 houses. With the optimization of panel cooling, battery energy storage, and layout, this project achieves remarkable results: a cooling system efficiency gain saving £19,274, a 23% profit over the battery's lifecycle, and a compact layout covering just 450m2 to meet a daily power requirement of 500kWh.

Context

The optimization of a solar farm system in Egypt, aimed at providing electricity to 50 homes while minimizing investment and maintenance costs, entails a multi-faceted approach. The system is dissected into three subsystems: layout optimization, battery energy storage system (BESS) optimization, and cooling system optimization. Each subsystem is tasked with maximizing efficiency within its domain while adhering to global constraints and requirements.

Interdependencies among the subsystems necessitate a holistic approach. Layout optimization seeks to strategically position solar panels to maximize energy production while minimizing land and panel costs. BESS optimization focuses on efficiently storing surplus energy for later use, ensuring a continuous power supply even during periods of low solar generation. The cooling system optimization aims to enhance panel efficiency by minimizing heat flux through meticulous design considerations.

Financial considerations are paramount, requiring a delicate balance between cost-effectiveness and system performance. The objective is to achieve maximum efficiency across all subsystems while maintaining profitability compared to alternative energy sources. By addressing these complexities and optimizing each subsystem individually, the solar farm system can effectively meet the energy needs of Egyptian communities, contributing to sustainable development and mitigating the impacts of climate change.

Figure 1. Component-wise system decomposition into the three subsystems

Battery Energy Storage System

In the pursuit of sustainable energy, Battery Energy Storage Systems (BESS) are pivotal in solar installations, storing excess energy for times when the sun isn’t shining, ensuring continuity of supply, especially during peak demand periods. The BESS optimizes efficiency, acting as the heart of a solar farm, balancing the delicate equation of cost and utility to maximize profit over the battery’s lifecycle without sacrificing performance. This optimization involves intricate mathematical modelling considering series/parallel cells, discharge depth, and overall system costs, including installation and inverters.

Design variables like cell numbers and discharge depth, constrained by factors such as voltage range and economic viability against grid costs, are carefully considered. Advanced optimization techniques such as genetic algorithms and Sequential Quadratic Programming (SQP) navigate non-linear constraints, yielding an optimal BESS configuration promising a 23% profit margin, amounting to $24,753 over its lifecycle. This optimized BESS showcases solar farms' potential in offering reliable, profitable energy solutions, meeting community energy demands while contributing to a sustainable future.

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Cooling System

In the quest for efficient solar energy, the cooling system plays a pivotal role. It’s designed to minimize heat transfer from the solar panels to the water pipes, ensuring the panels operate at peak efficiency. As temperatures rise, panel efficiency typically drops, but with a water jacket cooling system, this trend is reversed. The system consists of copper pipes with varying dimensions and water flowing at controlled speeds, all working together to optimize heat flux.

The challenge lies in balancing the cost of materials and maintenance with the cooling efficiency. Through meticulous optimization, the ideal heat flux value was determined to be -137930 W/m2, leading to significant cost savings. This precise calibration of the water jacket system not only enhances the solar farm’s performance but also translates to a financial saving of approximately £19,274, considering the costs of copper and water pump maintenance.

This innovative approach to cooling demonstrates the potential for significant advancements in solar farm technology, paving the way for more sustainable and cost-effective energy solutions.

Figure 2. Derivation of shade

Panel Layout

In the quest for sustainable energy, the layout of a solar farm plays a pivotal role in maximizing output while minimizing land use. The challenge lies in arranging solar panels at an optimal angle to harness the sun’s power without casting shadows on adjacent rows, which can reduce efficiency. The goal is to meet the energy needs of a 50-house compound, requiring at least 500kWh daily, using the least amount of land. This delicate balance involves adjusting the panel angle, row number, spacing, and panel dimensions to achieve the necessary energy production with minimal land occupation.

Using 400W solar panels, the layout is designed to ensure each row contributes maximally to the energy output. The farm’s width is determined by the row width, while its length is a sum of the gaps between rows and the ‘footprint’ length of the panels. The total area is thus a product of these dimensions, ensuring the farm’s efficiency.

The energy output from the first row of panels is calculated using a formula that considers the panel’s power over its area. This approach allows for an optimized layout that meets energy demands without excessive land use, demonstrating the importance of strategic design in solar farm construction. The optimization process, employing genetic algorithms and sequential quadratic programming, ensures discrete values where necessary and adapts to constraints for a robust solution.

System Level Discussion

At a system level the intricate balance between various subsystems in optimizing the efficiency-cost ratio of a solar farm is obvious. While the layout guides the placement of solar panels, it overlooks crucial factors like battery and cooling subsystem positioning, crucial for overall efficiency. Despite optimizing individual subsystems, achieving an optimized overarching system requires a comprehensive objective function linking all components. Normalizing efficiency-cost ratios across subsystems facilitates informed capital allocation, ultimately enhancing the solar farm's global efficiency.

In conclusion, the study unveils optimal design variables for constructing a self-sufficient solar farm catering to 50 Egyptian houses. Despite challenges in subsystem optimization and coordination, the research identifies key parameters for maximizing profit and energy generation while minimizing land and maintenance costs. Early coordination and deeper exploration of subsystems are deemed essential for future solar farm optimization endeavors. Download the full report below.

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