Previous work by one of the authors entailed modeling of a packed bed thermal energy storage system utilizing phase-change materials (PCM). A principal conclusion reached is that the use of a single family of phase-change storage material may not in fact produce a thermodynamically superior system relative to one utilizing sensible heat storage material. This paper describes the model constructed for the high-temperature thermal energy storage system utilizing multiple families of phasechange materials and presents results obtained in the exercise of the model. Other factors investigated include the effect on system performance due to the thermal mass of the containment vessel wall and variable temperature of the flue gas entering the packed bed during the storage process. The results obtained indicate efficiencies for the system utilizing the five PCM families exceeding those for the single PCM family by as much as 13 to 26 percent. It was also found that the heat transfer to the containment vessel wall could have a significant detrimental effect on system performance.
Thermal modeling of packed bed, thermal energy storage systems has traditionally been limited to first-law considerations. The exceptions include a few second-law studies, noted in the Introduction, of sensible heat storage systems and the latent heat storage systems. The cited second-law studies treat the storage and removal processes essentially as “batch” heating and cooling. The approximation effectively ignores the significant temperature gradient, especially in the axial direction, in the storage medium over a substantial portion of both the storage and removal processes. The results presented in this paper are for a more comprehensive model of the packed bed storage system utilizing encapsulated phase-change materials. The fundamental equations for the system are similar to those of Schumann, except that a transient conduction equation is included for intraparticle conduction in each pellet. The equations are solved numerically, and the media temperatures obtained are used for the determination of the exergy (or availability) disposition in complete storage-removal cycles. One major conclusion of the study from both the first-law and second-law perspectives is that the principal advantage in the use of phase-change storage material is the enhanced storage capacity, compared with the same size of packed bed utilizing a sensible heat storage material. Thermodynamically, however, it does not appear that the system employing phase-change storage material will always, or necessarily, be superior to that using a sensible heat-storage material. The latter conclusion is reached only on the basis of the second-law evaluation.
A comprehensive computer model of a packed bed thermal energy storage system originally developed for storage media employing either sensible heat storage (SHS) materials or phase-change material (PCM), was validated for the sensible heat storage media using a rather extensive set of data obtained with a custom-made experimental facility for high-temperature energy storage. The model is for high-temperature storage and incorporates several features including (a) allowance for media property variations with temperature, (b) provisions for arbitrary initial conditions and time-dependent varying fluid inlet temperature to be set, (c) formulation for axial thermal dispersion effects in the bed, (d) modeling for intraparticle transient conduction in the storage medium, (e) provision for energy storage (or accumulation) in the fluid medium, (f) modeling for the transient conduction in the containment vessel wall, (g) energy recovery in two modes, one with flow direction parallel with that in the storage mode (cocurrent) and the other with flow in the opposite direction (countercurrent), and (h) computation of the first and second-law efficiencies. Parametric studies on the sensible heat storage system were carried out using the validated model to determine the effects of several of the design and operating parameters on the first and second-law efficiencies of the packed bed. Decisions on the thermodynamic optimum system design and operating parameters for the packed bed are based on the second-law evaluations made
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