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Figure 26. Radial PCM temperature profile showing melting and solidification fronts. As stated, the PCM model is an ongoing development for the HYBRID repository. As PCMs continue to be researched and new materials are provided, the modeling capabilities within the HYBRID repository will be expanded. 3.3 Low-Fidelity Surrogate Model The PCM low-fidelity surrogate model is constructed in Python. Like the concrete low-fidelity surrogate, the model takes in some fluid inputs and should be able to simulate the changes in the PCM in time. The expected accuracy is on the order of hourly. The low-fidelity model takes the lowest possible energy change between the following three expressions during charging: Once the heat rate is calculated, energy is exchanged between the HTF and the PCM. After a timestep , the heat rate is recalculated. The following equations apply: The total quality change requires approximately the same amount of time between the two simulations using identical HTF flow characteristics. The difference between the two quality curve shapes is likely due to the very different methods of heat transfer through the PCM material. Heat conduction in the high-fidelity model melts along a front, and there must be liquid superheat to continue to transfer heat deeper into the PCM. This creates the near-logarithmic approach to complete melting observed in Figure 27. The low-fidelity model assumes that heat can be distributed across the entirety of the PCM, which leads to a much more linear power rate. 20PDF Image | Thermal Energy Storage Model Development
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