OPTIMISATION OF PHASE CHANGE MATERIAL THERMAL ENERGY STORAGE WITH A GROUND SOURCE HEAT PUMP 1 Paul McKenna1 and Donal P. Finn1 School of Mechanical and Materials Engineering, University College Dublin, Ireland ABSTRACT This paper presents the optimisation of a ground source heat pump (GSHP) system with phase change material (PCM) thermal energy storage (TES) for both charging and discharging modes. The system is installed in a commercial building in Marseille, France, and is used for cooling and dehumidification of ventilation air in an air handling unit (AHU). The charging of the system was optimised for PCMs of 0 ◦ C and 8 ◦ C as well as for two different heat pumps – a small heat pump with a 4.2 kW cooling capacity and a larger heat pump with a 26 kW capacity. It was found that the heat transfer fluid (HTF) mass flow rate through the heat pump has a significant effect on the system performance and the optimal flow rate is different for each of the PCM melting temperatures and heat pump sizes considered. The HTF flow rate through the AHU was optimised for different weather conditions and different PCM temperatures. Finally, the monetary savings of using a TES system were calculated, showing savings of between 14% and 30%. INTRODUCTION Energy storage is a focus of many electrical utilities presently. The use of more renewable energy (especially solar and wind energy) can lead to an imbalance between demand and supply. This imbalance can be managed by producing and storing thermal energy when there is excess supply, and using the stored energy when there is high demand. Arce et al. (2011) showed that the use of thermal energy storage (TES) could lead to a potential electrical load reduction in the EU of 1.16 GWth (7.5%) with an expected CO2 reduction of 258 MTCO2 (5.5%). Ice TES is commonly used in the USA. Braun (2007b) describes a method of charging and discharging an ice TES system that realises savings within 2% of the theoretical maximum possible savings. This leads to savings that can be as high as 60% compared to chiller priority control, with typical savings between 25% and 30% (Braun, 2007a). Chaichana et al. (2001) showed cost reductions of 55% with full ice storage compared to a system without TES. Ground source heat pumps (GSHPs) have an established market in Scandanavia, Germany, Austria and Switzerland. For example, in Sweden, 18% of heating systems in family homes are GSHPs (Fors´en and Nowak, 2010). More recently, there is evidence of strong growth of this sector in several other European markets, especially the UK and France (Fors´en and Nowak, 2010). Although the use of GSHPs is increasing in northern France, it is still less common for them to be used in southern France or indeed other Mediterranean climates. GSHPs have been shown to offer many advantages compared to other space conditioning systems. Approximately 1.4% of residential heating in Europe is provided by GSHPs, saving around 0.7% of greenhouse gas emissions compared to a traditional heat mix defined as 50% gas, 30% oil, 10% solid fuel and 10% electricity (Bayer et al., 2012). Blum et al. (2011) calculated that one GSHP can reduce the yearly CO2 emissions of an average person by 20%, compared to a conventional heating mix of 53% natural gas, 42% heating oil, 4% electricity and 1% coal. There are drawbacks to the installation of GSHPs, including high capital costs and invasive installation procedure as well as underperformance of heat pumps due to incorrect system design (Boait et al., 2011). Despite the high capital cost, Bolling and Mathias (2008) showed GHSPs to have the shortest payback compared to three other heating and cooling systems in five different US cities. The other systems studied were: a high efficiency furnace and electric air conditioner; an absorption air conditioner and direct electrical heating; and a thermally driven heat pump. This shows the advantage of GSHPs over other technologies in situations where heating and cooling loads co-exist. The two technologies mentioned above – TES and GSHPs – deal with the electricity storage issue, and the need for efficient combined heating and cooling technologies. However, there is little research in the literature into integrated GSHP and TES systems or into the optimisation of such a system. This highlights a need for the study of integration and optimisation issues relating to these systems, which is the motivation of the current research. The objective of the current paper is to describe sensitivity studies of an installed GSHP TES system using an integrated TRNSYS simulation model, which is used to cool and dehumidify ventilation air during summer months. The simulations of the TES charging and discharging are used to calculate the mass flow rates that lead to the highest system performance. This model can then be used to analyse the savings potential compared to a system without TES. The overall research objective is to develop general control strate- gies for buildings with GSHPs and PCM TES, and to test these control strategies on installed systems. SIMULATION MODEL The system described in this paper is part of an installed system in a commercial building in Marseille, France. The building is a single story building with office space of 250 m2 and a workshop area of 88 m2 . It includes a GSHP with 4.2 kW cooling capacity, which is connected to a borehole heat exchanger consisting of 6 double U-tube vertical boreholes, each of 100 m in length. This heat pump is used to supply cooling to a tank containing spherically encapsulated PCM with a melting temperature of 0 ◦ C. Nodules have a diameter of 98 mm and occupy 59% of the 500 litre tank. The thermophysical properties of water are used to represent the PCM in the simulation. The capacity of the PCM tank (including a 20 ◦ C temperature change) is 117 MJ. This PCM is then used to supply cooling and dehumidification to an air handling unit (AHU) during the summer. This system was retrofitted and completed in the last year. A schematic of the system can be seen in Figure 1. The PCM loop (in green) is for tank discharging via the AHU, while the charging of the PCM tank by the GSHP is shown in orange. The GSHP being used for the TES is of a smaller capacity than the main building heating/cooling heat pump which has a capacity of 26 kW. Figure 1: System schematic showing PCM charging and discharging. The TRNSYS system model is composed of individual custom TRNSYS components, including a GSHP, a PCM TES tank and an AHU. McKenna and Finn (2013) describe in detail the construction of the models for these components as well as the validation and calibration of the models. The borehole heat exchanger is simulated using TRNSYS TYPE997, from the TESS Geothermal Library. METHODOLOGY A model of the described system is set up using the TRNSYS simulation software. A mathematical model of each of the system components is used to form the individual TRNSYS modules and these are connected together to describe the system. The simulations are run with a time step of one second to ensure accurate representation of system transient behaviour. Three different scenarios for charging the PCM tank are considered. These are shown in Table 1. These scenarios involve the use of either the 4.2 kW dehumidification heat pump or the 26 kW main building heat pump to charge the PCM. Two PCMs with different melting points (0 ◦ C and 8 ◦ C) are also analysed. The thermophysical properties are assumed to be the same as the 0 ◦ C PCM for the purposes of this analysis. The 8 ◦ C PCM was initially considered for installation in the system, but after experimental tests performed on this PCM, it was decided that a 0 ◦ C PCM would provide better performance characteristics. Table 1: System configurations being examined Scenario . 1 2 3 Heat Pump Capacity (kW) 4.2 4.2 26 PCM Melting Temperature ( ◦ C) 0 8 8 The charging of the PCM tank is analysed for a range of mass flow rates through the PCM tank loop and through the ground loop. The mass flow rate through the PCM tank loop is varied between 200 kg/h and 2017 kg/h, while the mass flow rate through the ground loop is analysed between 100 kg/h and 1657 kg/h. The pumps installed are variable speed pumps and the upper limit on the flow rates (2017 kg/h and 1657 kg/h) is set by calculating the maximum flow rates that the installed pumps can deliver through the respective circuits. The discharging of the PCM tank to provide ventilation air cooling and dehumidification is also examined. For the discharging, a range of HTF flow rates are inspected to determine a preferential discharging rate based on the ambient temperature and humidity supply conditions to the AHU. These simulations are performed for three different summer days. These days are taken from the Meteonorm weather data files for Marseille and represent the following: a very hot day (Day 1) with a maximum temperature of 32.5 ◦ C, a hot day (Day 2) with a maximum temperature of 27.7 ◦ C and a warm day (Day 3) with a maximum temperature of 23.75 ◦ C. The combination of tank charging and discharging are compared against the solution without any TES and the off-peak electricity rate for economic advantage is calculated in each case. The system performance factor (SPF) of the various tank charging scenarios is calculated. The SPF of a system is a ratio of the thermal energy provided by the system to the electricity consumption of the system over a certain period of time. The period of time in this case is the total length of time for charging of the PCM tank. There are two different SPFs considered in this system. These are defined as: R t Q˙ hp (t) SP F1 = SP F2 = 0 Php (t) dt ˙ hp (t) Q 0 Php (t)+Pp,g (t)+Pp,t (t) Rt (1) dt (2) SP F1 describes the performance of the heat pump alone in supplying thermal energy to the PCM tank and is equivalent to the instantaneous coefficient of performance (COP) of the heat pump integrated over the charging period (Equation 1), while SP F2 includes the electricity use of both pumps while charging the tank (Equation 2). The SPF can be seen to be lower when the HTF is supplied at a lower temperature. Also, the smaller heat pump has a lower SPF than the larger heat pump. CHARGING RESULTS 0 ◦ C PCM Simulations were performed for tank charging at the set up that is currently installed in the building. This is the smaller heat pump of 4.2 kW capacity and a 0 ◦ C PCM. The SPF for the charging of the tank can be seen in Figures 3 and 4. NON-TES SCENARIO In order to facilitate comparison between the aforementioned scenarios and a base case, simulations were performed without the presence of a PCM tank. This case involves the cooling and dehumidification of the inlet air to the AHU. For comparison purposes, the cooling of this air was performed using the design HTF flow rate of 900 kg/h through both the evaporator and condenser of the heat pump. A buffer tank of 200 l was inserted between the heat pump and the AHU and the inlet temperature to the AHU was set at 2±1 ◦ C for comparison with the 0 ◦ C PCM and at 9±1 ◦ C for comparison with the 8 ◦ C PCM. This system can be seen in Figure 2. Figure 3: SP F1 for charging. It can be seen in Figure 3 that the heat pump SPF is highest when the flow rates through both the evaporator and the condenser are highest. These higher flow rates lead to a higher heat transfer in the heat pump, therefore increasing SP F1 . Figure 4: SP F2 for charging. Figure 2: System schematic for base case. The SP F2 over the three days in question are seen in Table 2. Table 2: SP F2 for system without PCM. Day 1 Day 2 Day 3 2 ◦C 2.73 2.60 2.53 9 ◦C 3.06 2.98 2.86 9 ◦ C Main HP 4.51 4.36 3.47 Comparing Figures 3 4, when the power consumption of the pumps are included in the SPF calculation (SP F2 ), the SPF at higher ground mass flow rates and tank mass flow rates decreases from 2.35 to 2.1. There is little change in the SPF at lower mass flow rates. The SP F2 for charging shows little variation with tank mass flow rate as the higher heat transfer in the PCM tank with an increased flow rate is almost exactly offset by the increased power consumption of the pump. However, the SPF is significantly higher when a high mass flow rate (circa 1600 kg/h) through the ground loop is used. Therefore, when charging the PCM tank, a mass flow rate through the ground loop of 1600 kg/h should be used, while a mass flow rate through the PCM tank of over 1400 kg/h leads to optimal charging conditions. The energy consumption of the pumps at the highest flow rates is low (2 MJ for the ground loop and 3.5 MJ for the PCM tank loop) compared to the energy consumption of the heat pump (50 MJ). This means that the charging of the PCM tank is still more efficient at higher flow rates even though the pump energy consumption has increased. flow rates. Figure 6 shows that the lowest performance is achieved at low ground mass flow rates and low tank mass flow rates. However, the highest charging performance in this scenario is for a tank flow rate of 800 kg/h and a ground flow rate of 1600 kg/h. The difference between the 0 ◦ C PCM and the 8 ◦ C PCM is that the optimal tank mass flow rate is lower for the 8 ◦ C PCM than it was for the 0 ◦ C case. The higher SP F1 for the 8 ◦ C PCM means that SP F2 is influenced more by changes in pump energy consumption than in the 0 ◦ C PCM case, which had a lower SP F1 . 8 ◦ C PCM 26 kW Heat Pump Simulations were performed for tank charging using the smaller, 4.2 kW heat pump and a PCM with a melting point of 8 ◦ C. The SPF for the charging of the tank can be seen in Figures 5 and 6. Analysis was performed for tank charging using a higher capacity heat pump, which is used for the heating and cooling of the main building and a PCM with a melting point of 8 ◦ C. The SPF for the charging of the tank can be seen in Figures 7 and 8. Figure 5: SP F1 for charging. Similar to the case with the 0 ◦ C PCM, SP F1 is highest when the flow rate through both the evaporator and the condenser are highest. However, the SPF is considerably higher across the range of flow rates than for the previous case – in Figure 3 the SPF ranges from 1.952.35, while in Figure 5 it ranges from 2.6-3.1. This is due to the higher temperature of the HTF at the evaporator of the heat pump during the charging process. Figure 6: SP F2 for charging. Similarly to the 0 ◦ C PCM case, seen in Figure 4, the SP F2 decreases at high ground and PCM tank mass Figure 7: SP F1 for charging. Considering Figure 7, it should be noted that in the plots for this system configuration, the x- and y-axes have been inverted. Therefore, in direct contrast to the previous calculations, the highest SP F1 is shown for low ground and tank mass flow rates. This highlights the complexity of the system that is under consideration. A lower mass flow rate through the tank will increase the temperature of the HTF returning to the evaporator of the heat pump, while a lower mass flow rate through the ground heat exchanger will decrease the temperature of the HTF returning to the condenser. Both of these serve to increase the COP of the heat pump. However, the lower mass flow rates through the heat pump decrease the heat transfer in the heat pump and therefore lead to a lower COP. The balancing of these two effects results in a higher heat pump performance for higher mass flow rates with the 4.2 kW heat pump, and a higher performance with lower mass flow rates for the 26 kW heat pump. The SP F2 of the system shows a similar trend with the performance at higher ground mass flow rates degrading very slightly. tank via the AHU. Analyses were performed using constant mass flow rates between 200 kg/h and 3600 kg/h. For each of these mass flow rates studied, the results at the end of the day can be seen. These results include the state of charge of the PCM tank at the end of the day (1 being fully charged and 0 being fully discharged), the total heat transfer from the air over the course of the day and the total pump electricity consumption (multiplied by a factor of 100) for the day. 0 ◦ C PCM The discharging maps for the 0 ◦ C PCM can be seen in Figure 9 for the three different days discussed. Figure 8: SP F2 for charging. The SP F2 of the system shows a similar trend with the performance at higher ground mass flow rates degrading very slightly. Considering Figure 8, the highest tank charging performance can be found at low mass flow rates for both the tank and the heat pump. The total charging time in this case was 16 hours, due to the low heat transfer rate in the PCM tank at these low mass flow rates. This is too long to for practical operation as tank charging should be completed during the night-time offpeak electricity pricing period. In Marseille, where the building is located, this corresponds to an off-peak period from 11 pm to 7 am. A tank mass flow rate of over 700 kg/h leads to a PCM tank charging time of under 8 hours; the ground mass flow rate has little effect on charging time. Therefore, in this scenario, charging should be scheduled with a tank mass flow rate of 700 kg/h and a ground mass flow rate as low as possible. DISCHARGING MAPS The discharging of the tank and cooling and dehumidification of ventilation air in the AHU is discussed in this section. Three different ambient temperature and humidity scenarios are studied. These are taken from the Meteonorm weather data for Marseille as follows: • Day 1 – a very hot day with a maximum temperature of 32.5 ◦ C. • Day 2 – a hot day with a maximum temperature of 27.7 ◦ C. • Day 3 – a warm day with a maximum temperature of 23.7 ◦ C. The ventilation flow rate through the AHU is a constant 600 m3 /h (1 ACH) throughout the day and the PCM tank is discharged between 8 am and 5 pm, or until the ambient air temperature falls below the AHU HTF inlet temperature. The analyses begin with a fully charged PCM tank at a uniform temperature of -10 ◦ C for the 0 ◦ C PCM and at a temperature of -2 ◦ C for the 8 ◦ C PCM. These temperatures are same as the final temperatures of the PCM tank after charging. For the discharging analysis (Figures 9 and 10), a constant mass flow rate was used while discharging the Figure 9: Tank discharging for 0 ◦ C PCM. It should be noted that the scale on the secondary yaxis is different for the three days. This axis shows the state of charge of the PCM tank at 5 pm, with 0 being fully discharged. On Day 1, the tank can be fully discharged over the course of the day with a mass flow rate of 800 kg/h. This leads to a pump energy consumption of 1.4 MJ for heat transfer to the air of 120 MJ. However, to fully discharge the tank on Days 2 and 3, mass flow rates of at least 1600 kg/h and 3200 kg/h respectively are required. This leads to a higher pump energy consumption over the course of the day and a lower overall SPF. An efficient control solution would run the pump at a flow rate that fully discharges the tank without using a flow rate that is too high. As can be seen in Figure 9, there is little increase in heat transfer to the air with an increased mass flow rate once the tank is fully discharged over the course of the day. 8 ◦ C PCM The discharging maps can be seen in Figure 10 for the three days discussed. Figure 11: Sensible and Latent Heat Transfer. As can be seen in Figure 11, although there is not much difference in total heat transfer to the air, a lot more dehumidification is provided by the 0 ◦ C PCM than by the 8 ◦ C PCM. This has implications for the thermal comfort in the building. When the 0 ◦ C PCM is in use, the HTF and therefore the coils in the AHU are at a lower average temperature than with an 8 ◦ C PCM. This leads to the higher ratio of latent to sensible heat transfer for the 0 ◦ C PCM shown in Figure 11. ENERGY COMPARISON Figure 10: Tank discharging for 8 ◦ C PCM. As with the previous case, the scales on the secondary y-axis are different for each of these graphs. Full discharging of a tank with an 8 ◦ C PCM requires a higher flow rate than for a 0 ◦ C PCM. This is because the inlet temperature to the AHU will be higher and therefore, for the same heat transfer, a higher flow rate is needed. For Day 1 and 2, flow rates of 2400 kg/h and 3600 kg/h respectively are required, and for Day 3, even with the maximum flow rate of 3600 kg/h, there is still a 25% charge left in the tank at the end of the day. From these calculations, it can be seen that control of the flow rate during the day is critical to ensure the full discharging of the PCM tank, and that a tank with an 8 ◦ C PCM requires more energy to discharge than one with a 0 ◦ C PCM. Also, as the dehumidification of the air is a primary objective of the AHU, the lower HTF temperatures provided by the 0 ◦ C PCM tank lead to a higher ratio of latent to sensible cooling. This is seen in Figure 11. In this section, the energy consumption in the three scenarios mentioned is compared for each of the three days under examination. For these calculations, the optimum flowrates associated with the highest charging/discharging SPFs are used. These are then compared to the energy use for the base case without PCM TES as calculated previously (Table 2). The energy use is calculated by dividing the capacity of the PCM tank by the SPF in question. This is done because the total heat transfer varied slightly depending on the final temperatures within the system. For example, with a low flow rate through the system, the final temperature of the PCM and HTF was slightly higher. Because of these differing values of total heat transfer, a more accurate comparison between the energy use in the different scenarios is made by dividing the PCM tank capacity (117 MJ) by the SPF, which yields the total energy use for that scenario if exactly 117 MJ heat transfer had occurred. In Tables 3, 4 and 5, the total energy use can be compared for TES and non-TES scenarios. Echarge represents the total energy use in charging the PCM tank, Edischarge represents the total electricity use in discharging the PCM tank and Ebase represents the total electricity use without TES. The break-even price ratio is included in these tables. This is the ratio of off-peak to on-peak electricity rates which leads to the same running cost for the TES and non-TES scenarios. An electrical utility price ratio lower than this would lead to economic savings in the use of PCM TES, while a ratio higher than the break even price ratio would mean that it would not be economically advantageous to use TES. The percentage savings for an off-peak price of 64% of the on-peak rate (as is the case in Marseille) are also shown. 0 ◦ C PCM Table 3: Energy savings with 0 ◦ C PCM Day 1 Day 2 Day 3 Echarge (MJ) 55.7 55.7 55.7 Edischarge (MJ) 1.17 1.80 3.41 Ebase (MJ) 42.86 46.10 48.11 Price Ratio 0.75 0.79 0.80 Savings 14% 19% 19% For all three days, the break even point is for an off peak electricity price between 0.75 and 0.8 of the peak price. Savings of between 14% and 19% are seen for off-peak to on-peak ratio of 0.64. 8 ◦ C PCM Table 4: Energy savings with 8 ◦ C PCM Day 1 Day 2 Day 3 Echarge (MJ) 40.91 40.91 40.91 Edischarge (MJ) 1.74 2.13 3.74 Ebase (MJ) 38.23 39.17 40.89 Price Ratio 0.89 0.90 0.91 Savings 27% 28% 27% The use of an 8 ◦ C PCM leads to a break even offpeak electricity pricing of between 89% and 91% of the on-peak price, and savings of up to 28% when the off-peak tariff for Marseille is considered. Although the savings are higher for this case, it is worth noting that the latent heat transfer in this case was not as high as that for the 0 ◦ C PCM. This could have an effect on thermal comfort in the building during the day, as additional sensible cooling can be supplied via the fan coil units in the building, but their capacity for latent cooling is lower than the AHU; the cooling coil in the AHU is unfinned to provide maximum dehumidification, while the fan coil units have finned coils for a higher heat transfer. Main Heat Pump Table 5 shows a comparison between a case with thermal energy storage and a case without thermal energy storage, using the main heat pump. Table 5: Energy savings with 8 ◦ C PCM and main heat pump Day 1 Day 2 Day 3 Echarge (MJ) 31.2 31.2 31.2 Edischarge (MJ) 1.74 2.13 3.74 Ebase (MJ) 25.94 26.82 33.72 Price Ratio 0.77 0.79 0.96 Savings 16% 18% 30% The use of the main building heat pump leads to a minimum economically advantageous off-peak:onpeak electricity price ratio of 0.77. Savings of between 16% and 30% are also observed with a price ratio of 0.64. As with the previous case, the dehumidification of the air is lower than with the 0 ◦ C PCM. CONCLUSION This paper shows the importance of control strategies when integrating a GSHP with PCM TES in a building. The flow rate on both the ground side and the tank side of the heat pump affect the SPF of the charging process. For the heat pump that is currently in use for the PCM loop, it was found that high flow rates on both the ground and tank loops lead to a higher system performance. Conversely, lower flow rates were found to be advantageous if the main building heat pump is being used for charging the PCM tank. Tank discharging was performed through the AHU to cool and dehumidify ventilation air. It was shown that the mass flow rate to fully discharge the PCM tank needs to be higher for a cooler day. However, a flow rate that is higher than the optimum leads to a higher electricity use, thus decreasing the SPF of the system. A discharging algorithm should be used for discharging the PCM tank that would vary the flow rate through the PCM tank depending on predicted load and ambient temperature. It was also shown that TES with an 8 ◦ C PCM can lead to the same cooling of the inlet air, but a higher pump flow rate, and therefore increased electrical energy consumption, is needed. Also, the amount of dehumidification provided in this case is significantly lower than with a 0 ◦ C PCM. The combination of charging and discharging the PCM tank was compared to direct cooling of the ventilation air using the GSHP. Although the total energy use with TES was higher in all cases, it was shown that monetary savings could always be made if an offpeak to on-peak electricity price ratio of less than 0.75 was in use. In Marseille, where the building is located, this ratio is 0.64, which leads to savings in the cost of electricity from 14% to 30% for the scenarios studied. FUTURE WORK As the highest SPF for tank charging with the installed heat pump occurred at the highest flow rates that the pumps in use can accommodate, analysis will be performed using higher capacity pumps, to see if significant savings could be made by using even higher flow rates. During less warm summer days, there is less demand for cooling and dehumidification of ventilation air. Also, the high HTF flow rate that is needed to fully discharge the PCM tank during these days leads to a higher pump energy consumption. It is proposed that incomplete charging of the PCM tank during the offpeak period could lead to higher system performance by increasing the heat pump COP during charging and decreasing the pump electricity use during discharging. The climate of the location directly affects the system performance. The effect of climate on the system performance will be evaluated by analysing a similar building at locations with various temperature ranges and humidity levels. An economic analysis of the system will be performed over a complete season and the payback period such an installation will be calculated. NOMENCLATURE Acronyms ACH air changes per hour AHU air handling unit COP coefficient of performance GSHP ground source heat pump HTF heat transfer fluid PCM phase change material SPF system performance factor TES thermal energy storage Symbols Q˙ heat transfer E total energy use P power Subscripts hp heat pump p,g ground loop pump p,t PCM loop pump for cool storage systems with dynamic electric rates. HVAC&R Research, 13 (4):557 – 580. Chaichana, C., Charters, W. W. S., and Aye, L. 2001. An ice thermal storage computer model. Applied Thermal Engineering, 21(17):1769 – 1778. Fors´en, M. and Nowak, T. 2010. Outlook 2010: European Heat Pump Statistics. European Heat Pump Association EEIG (EHPA). kW MJ kW ACKNOWLEDGEMENTS This research has been supported by the Irish Research Council’s Embark Initiative and by the FP7 GroundMed project (DG TREN/FP7EN/218895). REFERENCES Arce, P., Medrano, M., Gil, A., Or´o, E., and Cabeza, L. F. 2011. Overview of thermal energy storage (TES) potential energy savings and climate change mitigation in Spain and Europe. Applied Energy, 88(8):2764 – 2774. Bayer, P., Saner, D., Bolay, S., Rybach, L., and Blum, P. 2012. Greenhouse gas emission savings of ground source heat pump systems in Europe: A review. Renewable and Sustainable Energy Reviews, 16(2):1256 – 1267. Blum, P., Campillo, G., and Klbel, T. 2011. Technoeconomic and spatial analysis of vertical ground source heat pump systems in Germany. Energy, 36(5):3002 – 3011. Boait, P., Fan, D., and Stafford, A. 2011. Performance and control of domestic ground-source heat pumps in retrofit installations. Energy and Buildings, 43(8):1968 – 1976. Bolling, A. L. and Mathias, J. A. 2008. Investigation of optimal heating and cooling systems in residential buildings. ASHRAE Transactions, 114(1):128 – 139. Braun, J. E. 2007a. Impact of control on operating costs for cool storage with dynamic electric rates. ASHRAE Transactions, 113 (2):343 – 354. Braun, J. E. 2007b. A near-optimal control strategy McKenna, P. and Finn, D. P. 2013. A TRNSYS model of a building HVAC system with GSHP and PCM thermal energy storage - component modelling and validation. In 13th Conference of International Building Performance Simulation Association, Chambry, France.
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