Passive wet spent-fuel storage facilities incorporating single-phase natural circulation have been successfully installed and operated. They are designed to meet performance requirements for various operating conditions, for example normal operation, abnormal operation, and accident conditions (for example earthquake and airplane crash). Figure 1 shows that the heat from the spent-fuel pool is transferred to the ambient air by means of two heat exchangers (HX).
Heat from the water in the spent-fuel pool is transferred to the coolant, which, in this example, is also water flowing inside the water-to-water heat exchanger (water- water HX). This heated coolant flows upward by single-phase natural circulation to the second heat exchanger, in which heat from the coolant is transferred to the air (water-air HX). The water-air HX is installed in a dry-air or wet cooling tower, which is open to the ambient air. After the heat in the coolant has been transferred to the ambient air, the increased density of the coolant causes it to flow downward to the water-water HX, and the coolant’s cycle is thereby closed.
The design of the passive heat-removal system depends on the temperatures of the boundary conditions for the coolant cycle. Examples of the maximum allowable spent-fuel-pool temperatures and corresponding ambient air temperatures for the various operating conditions are listed in Table 1.
Table 1 shows that the available driving potential for heat transfer (∆T=Tpool-Tair) is larger for accident conditions than for normal conditions, even though the design temperature of the ambient air increases. This is due to the larger maximum allowable spent-fuel pool temperature during accident conditions.
Passive single-phase heat-removal systems
As the ambient air passes through the dry-air heat exchanger, its temperature increases. This increase causes a reduction in the temperature difference between the air and the coolant. An example is shown in Figure 2 for the abnormal operating condition shown in Table 1. The air enters the water-air HX at a temperature of 28 °C at the left end of the temperature scale in Figure 2 (it should be clear, that the following considerations are simplified from a thermodynamic point of view). The coolant enters the water-air HX at a higher temperature, which depends on the design of the heat exchanger. In this example, the water-air heat exchanger is designed such that, if the coolant leaves the heat exchanger at a minimum of 40 °C, the design capacity of the system is achieved. Note that, although an available temperature difference between the maximum allowable spent-fuel-pool temperature and the ambient air temperature is 32 K, the temperature difference between the coolant flowing upward in the risers and that flowing downward in the downcomer has been reduced to 12 K. A similar situation exists in the spent-fuel pool, where the temperature of the coolant at the outlet of the water- water HX must not exceed 57 °C in order for the water-water HX to transfer enough heat to achieve the design capacity of the system. Therefore, the temperature difference between the coolant flowing upward in the risers and that flowing downward in the downcomer has been reduced to 17 K.
The reduction from the available temperature difference to the usable temperature difference of the coolant circuit, as shown in Figure 2, results in a reduced density difference between the coolant flowing upward in the risers and that flowing downward in the downcomer. This reduction in density difference causes the natural circulation to decrease, which limits the capacity of the system to remove heat from the spent-fuel pool.
Evolution of a single-phase heat- removal system
A first-of-a-kind wet spent-fuel storage facility designed by AREVA GmbH has been in operation since 2008, and demonstrates the feasibility of an economical large-scale passive heat-removal system. Due to the gradual loading of this facility, the installation of the heat-removal system was divided into two stages. The first stage has been operating for five years without any problems. The second stage will be installed in 2015.
The wet spent-fuel storage facility has evolved since its design started in 1999. A test mockup in AREVA laboratory conditions at the Technical University of Dresden, Germany, had a footprint of 2m sq. and a height of 9m, and the plate heat exchanger has dimensions of 0.8x1x0.5m. The first stage (a single-phase system) was designed to remove 500 kW of heat from the spent- fuel pool at the Goesgen nuclear plant. Improvements to the physical design of the heat exchangers resulted in a second stage of the wet-storage heat-removal system (also single-phase), with the capacity to remove 750kW of heat from the spent-fuel pool, bringing the total capacity of the system to 1.25MW. The detailed design of this system was due to be completed in 2014; commissioning is planned for the beginning of 2016.
The cooling capacity is the amount of decay heat that can be removed from the fuel assemblies when the ambient air temperature is at the design conditions. These parameters also depend on the design of the facility. An interim-storage pool like the one at Goesgen has a lower design heat load than other spent-fuel pools, because the fuel elements have already cooled for approximately seven years in a separate fuel pool inside the containment. After this period they are moved to the wet spent-fuel store where they stay until they are loaded to dry-cask storage. The design heat load for a containment fuel pool is much higher, due to an additional heat load from fuel unloaded from the core during outages.
Two-phase heat-removal systems
Additional increases in the capacity to remove heat from a spent-fuel pool requires a fundamental change in the mode of operation of the wet-storage heat-removal system. The heat flux in the water-water HX and water-air HX must be increased in order to increase the heat-transfer rate in the same volume available for the heat exchangers. This must be achieved without unduly decreasing the coolant’s mass flow rate, which depends solely on natural circulation.
One method of achieving these goals is to use two-phase flow and heat transfer in the coolant.In a two-phase heat-removal system, the coolant undergoes boiling in the heat exchanger (the evaporator) that removes heat from the spent-fuel pool. In addition, the coolant undergoes condensation in the heat exchanger that transfers heat from the coolant to the ambient air (the condenser). Because the heat-transfer coefficients for boiling and condensation are several orders of magnitude greater than those for single- phase natural circulation, the efficiency of the heat exchangers increases correspondingly. In addition, the density difference between the coolant flowing upward in the risers (vapour) and that flowing downward in the downcomer (liquid) is large enough to offset any increase in the resistance to flow caused by the two-phase pressure drop.
In order for boiling to occur in the evaporator, a minimum temperature difference between the coolant and the water in the spent-fuel pool is required. An example is shown in Figure 2 for the same available temperature difference between the maximum allowable spent-fuel-pool temperature and the ambient-air temperature as for a single-phase coolant. For a two-phase coolant, a required temperature difference of 5 K is shown for the evaporator. Therefore, the temperature of the coolant at the inlet of the evaporator must not exceed 55 °C in order for the evaporator to transfer enough heat to achieve the design capacity of the system.
Assuming that the pressure drop in the condenser is negligible, the temperature difference between the inlet and outlet of the ondenser is zero (see Figure 2; in reality, some superheating of vapour at the inlet, or subcooling of liquid at the outlet, or both can be expected). If one assumes that the coolant is at saturation temperature at the inlet and outlet of the condenser, the temperature of the downcomer is the same as that of the riser.
A negligible temperature variation for the coolant along the length of the condenser results in a significantly greater temperature difference between the coolant and the air entering the water-air HX. The increased temperature difference can be used to increase the capacity of the system and possibly to reduce the required surface area of the condenser, resulting in substantial cost reductions.
Current R&D activities
The performance of two-phase heat exchangers under natural-circulation conditions is the topic of current research- and-development activities. In particular, the performance of the condenser and evaporator have been investigated.
Figure 4 shows the capacity of a two- phase heat-removal system currently under investigation at AREVA GmbH in Erlangen, Germany, with an evaporator and condenser section of about 0.3×0.3×0.3m. Both single- phase and two-phase investigations were performed. Heat was transferred from water to the coolant in the evaporator; however, heat was transferred from the coolant to water, instead of air in the condenser.
The results of single-phase natural circulation obtained with a coolant labelled ‘fluid a’ are shown as a grey line in Figure 4, where the capacity (on the left ordinate) is plotted as a function of the available temperature difference. The capacity varied from less than 20W to more than 280W, as the available temperature difference increased from 12K to 58K. The uncertainty in the calibrated temperature measurements was less than 0.1K. A propagation-of-uncertainty analysis showed that the uncertainty in the heat removal ranged from 5% to 7% of the heat transfer from the water to the coolant in the evaporator.
The mass flow rate during single-phase natural circulation increased from 0.0009kg/s to 0.0016kg/s, as the heat transfer from the water to the coolant increased from 90W to 250W. The uncertainty in the mass flow rate obtained from a propagation-of-uncertainty analysis ranged from 5% to 7% of the mass flow rate of the coolant in the evaporator.
‘Fluid a’ was also used in investigations into two-phase natural circulation. The results are shown as a blue line in Figure 4. The ratios of the capacity under two-phase natural circulation to the capacity under single-phase natural circulation are plotted in orange in Figure 4. The magnitudes of the ratios (given on the right ordinate) vary from 6 to 11.
In addition to ‘fluid a’, a second fluid, labelled ‘fluid b’ was investigated. The experimental results for the capacity for two- phase natural circulation as a function of the available temperature difference are shown as a green line in Figure 4. The ratios of the capacity of ‘fluid b’ under two-phase natural circulation to the capacity of ‘fluid a’ under single-phase natural circulation are plotted in brown. Over a range of available temperature differences from 12K to 32K, the ratios vary from 7 to 19.
In the experiment, water was chosen rather than air as the heat sink to provide a highly controlled boundary condition with little experimental uncertainty in the data. However, this experimental alteration may affect the real-world performance of the system. If the heat were transferred to ambient air, the heat transfer coefficient on the air side would be different than in the experiment, depending on the design of the air-side surface of the heat exchanger and the wind conditions. The temperature of the ambient air would also deviate above and below the temperature of the heat sink in the experiment. The effects of both differences are not known until they are simulated.
This information on the increased capacity of two-phase natural circulation compared to single-phase natural circulation will be used to design passive heat-removal systems with increased capacity.
Conclusions
The benefits of passive cooling systems have been demonstrated in a first-of-a-kind wet spent-fuel storage facility designed by AREVA GmbH. Heat is removed from the spent-fuel pool facility by a single-phase natural- circulation system, in which the heat from the spent-fuel pool is transferred to the ambient air by means of two heat exchangers: a water- water HX in the spent-fuel pool and a water-air HX in a dry-air cooling tower, which is open to the air. The wet spent-fuel storage facility has been in operation since 2008, and demonstrates the feasibility of an economical large-scale passive heat-removal system.
Since the start of operation in 2008, the performance of the heat-transfer unit has undergone geometric and thermal-dynamic optimisation, resulting in an improved heat-transfer capability. This will be scaled up in the design of a second stage of the wet-storage heat-removal system with an increased heat-removal capacity.
Further improvement in the heat-removal capacity is the topic of current research and development activities at AREVA GmbH. Two-phase natural-circulation has been investigated experimentally and the improvement in the heat-removal capacity of a two-phase coolant in comparison to the capacity of the same coolant under single- phase conditions has been quantified. It has also been shown that coolant choice has a significant effect on the heat-removal capacity.
