Latent heat thermal energy storage (LHTES) uses phase change materials (PCMs) to store and release heat, and can effectively address the mismatch between energy supply and demand. However, it suffers from low thermal conductivity and the leakage problem. One of the solutions is integrating porous supports and PCMs to fabricate shape-stabilized phase change materials (ss-PCMs). The phase change heat transfer in porous ss-PCMs is of fundamental importance for determining thermalfluidic behaviours and evaluating LHTES system performance. This paper reviews the Highlights: 1. The recent advances in experimental and numerical investigations on phase change heat transfer in porous ss-PCMs are reviewed. 2. Paraffin and metal foams are the mostly used PCM and porous support respectively in the experimental studies. 3. Compared to REV-scale simulation, the pore-scale simulation can provide extra flow and heat transfer characteristics in pores. 4. There exists a research gap between phase change heat transfer and material preparation.

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