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Gas-fired chemisorption heat pump (CSHP) is a promising technology for high-efficiency cold-climate residential heating. The CSHP utilize the heat of reversible chemical reactions between sorbent and refrigerant to extract heat from cold ambient and supply high-temperature heat to the indoors. The energy efficiency and heating capacity of CSHP depends on the ambient temperatures and operating controls. This study evaluates the seasonal performance of a CSHP by first developing a dynamic system model and generating a performance map for various ambient and heat-supply temperatures; then the bin method is used to evaluate the CSHP seasonal performance in two cold-climate locations for space and water heating.