Refrigeration Systems with Thermal Energy Storage

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Refrigeration Systems with Thermal Energy Storage ( refrigeration-systems-with-thermal-energy-storage )

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Mathematics 2022, 10, 3167 18 of 27 60 55 50 45 Electricity prices on May 29th, 2019 in the Spanish spot market 40 0 2 4 6 8 10 12 Time [h] Figure 9. Electricity prices corresponding to 29 May 2019 in the Spanish spot market, once scaled into a 12 h timeframe [31]. 5.4. Operating Mode Scheduling If the demand profile shown in Figure 7 is analysed together with the cooling power constraints shown in Table 4 and the energy prices shown in Figure 9, it can be observed that, approximately, during the first 5 h, the cooling demand Q ̇ sec can be satisfied by using only Q ̇ e,sec, given the power ranges for modes 1 and 2 presented in Table 4. It may be interesting to charge the TES tank during this period, taking advantage of the low energy price, but in any case the maximum charging power is constrained by the cooling demand, which must be satisfied in mode 1 by the refrigeration cycle. However, from t = 5 h, the cooling demand Q ̇ sec is too high to be satisfied only by Q ̇ e,sec, being necessary to turn to Q ̇ TES,sec to complement the cooling power produced at the evaporator. Then, during the peak period until t = 8 h, the TES tank is intended to be discharged, avoiding as much as possible the direct cooling power production due to the high price corresponding to this period. That is when the high charge ratio achieved previously comes handy. Finally, at the end of the day, the cooling demand is again low enough to allow modes 1 and 2 to be scheduled, thus the TES tank might be also charged during this off-peak period. In the light of the previous analysis, a certain operating mode scheduling must be proposed to make use of the TES tank as a cold-energy storage unit, as efficiently as possible, according to economic criteria. This operating mode scheduling affects the optimization problem posed in Section 4.3 through the feasibility constraints described in (19), as schematically shown in Figure 10. Mode 1 Mode 3 Mode 2 Mode 4 e,sec Q ̇ T ES,sec Q ̇ T ES,sec Figure 10. Influence of the operating mode scheduling on the NMPC optimization problem. Q ̇ r e f ̇ Q ̇ e,sec Q ̇ e , s e c Q ̇ r e f Q ̇ T E S sec QTES A v Cooling power control · Efficiency · Operational constraints Cooling power scheduler · Economics · Efficiency · Feasibility Av,TES Q ̇ r e f TES EEV TES EEV Condenser Compressor Evaporator Q ̇ r e f T ES,sec m ̇ T E S , s e c TES-backed-up TES N refrigeration cycle Tank ]

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