Potential application of Rankine and He-Brayton cycles to sodium fast reactors
Highlights
► This paper has been focused on thermal efficiency of several Rankine and Brayton cycles for SFR. ► A sub-critical Rankine configuration could reach a thermal efficiency higher than 43%. ► It could be increased to almost 45% using super-critical configurations. ► Brayton cycles thermal performance can be enhanced by adding a super-critical organic fluid Rankine cycle. ► The moderate coolant temperature at the reactor makes Brayton configurations have poorer.
Introduction
Fast reactors are one of the main lines of research and development under the frame of the so called Generation IV International Forum (Bouchard, 2008). Their breeding potential and capability to implement a closed fuel cycle strategy by burning minor actinides can be further supported by reaching an outstanding safety level and high thermal efficiencies. Nonetheless, in order to become a technological reality, these systems have to demonstrate their feasibility and economic competitiveness with respect to other energy generation technologies.
Sensitive to this situation, the European Commission has launched a number of projects within the 7th Framework Program of EURATOM to address potential fast reactor systems. In particular, the sodium fast reactors are being investigated within the European Sodium Fast Reactor project (ESFR), comprehensively described elsewhere by Fiorini (2009). The many decades of research behind this concept have provided a sound technological basis. However, the need to comply with all those demanding requirements inherent to sustainability, highlighted a number of issues worth to be explored, from the reactor configuration (i.e., pool vs. loop reactor) to the cost, going through the fuel cycle, safety, balance-of-plant (BOP), etc.
A number of sodium fast reactor prototypes and demonstration plants (IAEA, 1999) have been built and operated (i.e., Phenix, SuperPhenix, BN-600, etc.). In those cases in which some power output was pursued, all of them used a sub-critical Rankine cycle. Since the start of operation of all these reactors, a significant experience has been built in operating super-critical power cycles in the fossil power industry (Susta, 2004). This fact and the progress achieved in areas like materials and components reliability during the 90s, have eventually resulted in a significant improvement in their thermal performance (Leyzerovich, 2009), so that when conceiving a new generation of SFRs the potential of this type of power cycles should be explored. In addition, given the advances accomplished in the field of gas turbo-machinery in the last two decades, the suitable thermal and chemical properties of some gases, like helium, and the advantage of preventing Na–H2O reaction, Brayton cycles have been paid attention as alternate cycles for Gen IV reactors (Chang and Richard, 2005, Herranz et al., 2007a, Herranz et al., 2007b, Herranz et al., 2007c, Herranz et al., 2008) and, particularly, for SFRs (Peterson, 2003, Zhao and Peterson, 2008, Saez et al., 2008). However, given the relatively low temperatures of the coolant anticipated at the reactor exit (around 545 °C), which prevent attaining high thermal efficiencies, specific studies have been devoted to assess the potential benefits of complex configurations (Zhao et al., 2009) or alternate gases or gas mixtures (El-Genk and Tournier, 2007).
Two sodium reactor architectures have been traditional in SFR technology: pool and loop reactor configurations. The former has been the configuration adopted by countries like France, Russia, India and China and it has been tested for years in demonstrators and/or prototypes (i.e., Phenix, Super-phenix and BN-600). The latter has been developed by Germany and Japan, the Joyo and the Monju reactors being examples. Both design configurations are being considered within the ESFR project with an additional intermediate loop (consisting of 6 loops working in parallel) between the reactor coolant system and the power cycle. It is this secondary loop the one which will behave as the heat source for the power cycle through an intermediate heat exchanger (IHX). This intermediate loop avoids any potential chemical interaction between the reactor cooling Na and the power cycle fluid, which in the case of water/steam would result in a hazardous violent explosion. No matter which reactor configuration is eventually developed within the ESFR project, a set of common characteristics have been set and are taken as a reference in this study. Table 1 summarizes the most significant SFR parameters for thermal efficiency assessment (Saez et al., 2008).
This paper explores the thermal performance of Rankine and Brayton configurations based on the postulated SFR reactor parameters in Table 1 (Saez et al., 2008). As for the Rankine layouts, given the existing experience with sub-critical power cycles in preceding and current SFRs, a sub-critical configuration has been adopted as a reference for comparison purposes; additionally, based on the current trends in the power industry, two super-critical cycles will be proposed and their advantages with respect to the reference layout discussed. Several Brayton cycles have been studied, starting from the most basic CBTX (Hawthorne and Davis, 1956) and extending the study to assess the effect of inter-cooling, re-heating and coupling to an Organic Rankine Cycle (ORC); although the base fluid considered in the Brayton analyses has been helium (He), an additional study has been conducted to assess the effect of using three gas mixtures of helium with nitrogen (N2), argon (Ar) and xenon (Xe). Despite the potential of super-critical CO2 Brayton cycles for SFR BOPs, they have been kept out of the scope of this study to be a specific matter of an additional study. Therefore, this study should be seen as a search for power cycle configurations that could become alternates to those based on super-critical CO2 Brayton layouts.
Section snippets
Cycle optimization
Once a cycle configuration has been set, maximization of thermal efficiency has been pursued (single objective) through different strategies according to the cycle type. In the case of Rankine cycles, the maximum thermal efficiency is found by optimizing pressures at which bleeding is set at the turbine stage to feed pre-heaters.
In the Brayton configurations (see Table 2), the variables chosen to reach thermal efficiency as high as feasible, have been pressure ratio and the compression
Sub-critical Rankine
The main input data supplied to the Rankine model are gathered in Table 1 and in Section 2.5 (Saez et al., 2008, Buongiomo, 2003).
Table 3 shows the main cycle output together with characteristic values of the HXs and inlet temperatures at both sides of the power cycle. The best results have been obtained for a Na fraction of 66.17% going to the re-heater and an inlet pressure in the low pressure turbine of 42.75 bar. As noted, the thermal efficiency is higher than 43%. As shown in the table, the
Conclusions
In the sections above the results of several potential power cycle configurations for SFRs have been presented. The analysis carried out has been focused on thermal efficiency and Fig. 14 compiles the outcome. From this work a set of conclusions can be withdrawn:
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The moderate coolant temperature at the reactor exit makes Brayton configurations have poorer performance than Rankine layouts, even when a fraction of the gas residual heat is taken up to set up a combined cycle through an ORC.
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A
Acknowledgments
The authors are indebted to the CP-ESFR partners in the SP4 sub-project, particularly to B. Riou (AREVA) and R. Stainsby (AMEC) for their helpful remarks and encouragement.
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