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Based on the optimal ecological performance parameters of a heat pump with linear phenomenological heat transfer law between working fluid and heat reservoirs, the local stability analysis of the endoreversible heat pump working in an ecological regime is studied. The steady state of the heat pump working at the maximum ecological function is steady. After a small perturbation, the system state exponentially decays to steady state with either of the two relaxation times. The effects of temperatures of heat reservoirs and heat transfer coefficients on the local stability of the system are discussed. Distribution information of phase portraits of the system is obtained. It is concluded that both the energetic properties and local stability of the system should be considered for designing the real heat pumps

Local stability of an endoreversible heat pump with linear phenomenological heat transfer law working in an ecological regime