## 4 Modeling a Solar-Hydrogen System in the University
### Simulation Result
The relationship between PSolar and PElectrolyzer illustrates how solar power generation and electrolyzer operation are directly correlated in the analysis. Increased energy availability for electrolysis is correlated with higher PSolar values, which raise PElectrolyzer values and improve hydrogen production. On the other hand, lower PSolar inputs mean less energy available for electrolysis, which in turn means lower PElectrolyzer values and less hydrogen produced. In order to enhance the efficiency of hydrogen production, it is crucial to optimize solar power generation, which emphasizes the significance of solar power as the principal energy source for electrolyzer operation in hydrogen production systems. The analysis of PStorage and PElectrolyzer, which have ranges of \(-10\) to \(-2\) and \(179\) to \(195\), respectively, shows how energy storage and electrolyzer operation interact (Figure 9). A greater rate of hydrogen synthesis during times of surplus energy storage is indicated by larger negative values of PStorage and increased PElectrolyzer values. On the other hand, PElectrolyzer values often decline when PStorage becomes less positive or negative, indicating lower rates of hydrogen synthesis as a result of lower energy storage levels. The comparison of PStorage (energy storage) and PElectrolyzer (energy consumption by the electrolyzer) demonstrates the relationship between energy storage and electrolyzer operation. PElectrolyzer, which indicates the energy used by the electrolyzer to produce hydrogen, ranges from 179 to 195, while PStorage, which shows fluctuations in the energy storage levels within the system, runs from \(-10\) to \(-2\). Larger negative values of PStorage and higher PElectrolyzer values, which indicate periods of excess energy storage, are indicative of a higher rate of hydrogen synthesis, according to the analysis. PStorage indicates a higher level of energy storage and more energy available for producing hydrogen when it shows more negative values. As a result, the electrolyzer may function more effectively, which raises PElectrolyzer values and increases energy consumption. This association implies that higher rates of hydrogen synthesis through electrolysis are a result of the system's energy surplus being stored. PElectrolyzer readings frequently decrease when PStorage becomes less positive or negative, indicating reduced quantities of energy storage. Lower rates of hydrogen synthesis come from this dip in PElectrolyzer values, which indicates a decrease in the energy available for electrolysis. There is less excess energy available for the electrolyzer to use in the synthesis of hydrogen when energy storage levels are lowered. As a result, PElectrolyzer values drop, which indicates that the electrolyzer is using less energy and that hydrogen synthesis rates are also declining. The analysis highlights how energy storage and electrolyzer operation in hydrogen generation systems interact dynamically. When there is excess energy storage, higher rates of hydrogen synthesis take place, which causes the electrolyzer to need more energy. On the other hand, lower levels of energy storage lead to lower rates of hydrogen synthesis, which is reflected in the electrolyzer'slower energy consumption. This knowledge emphasizes how crucial energy storage is to enabling effective electrolyzer operation and maximizing hydrogen production rates in renewable energy systems. This investigation examines the link between electrolyzer power consumption and hydrogen mass flow rate by examining PElectrolyzer and mH2. PElectrolyzer ranges from 179 to 195, whereas mH2 decreases from 0 to 99 (Figure 10). More rates of hydrogen generation are reflected in mH2, which tends to grow as PElectrolyzer increases, indicating more energy input for electrolysis. On the other hand, mH2 drops in proportion to a fall in PElectrolyzer, indicating a direct relationship between the creation of hydrogen and electrolyzer power consumption.