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以内可逆卡诺热泵模型为研究对象，考虑工质与热源间传热服从牛顿传热规律，利用局域稳定性理论，对热泵工作在生态学函数最大稳定点时的局域稳定性进行了研究。系统在生态学函数最大时的稳定状态是稳定的，导出了表征系统稳定性的“弛豫时间”关于热容G、总传热面积F、热源温比τ-、传热系数α和β的一般表达式，给出了系统的相轨线的分布情况。所得结果可为实际系统的设计提供一定的理论指导。“,”The local stability of an endoreversible Carnot heat pump at the maximum ecological function is studied with Newton＇s heat transfer law between working fluid and heat reservoirs. The steady state of the heat pump working at the maximum ecological function is steady. It is derived that a general expression of relaxation time described as stability of the system refers to heat capacity C, total heat exchange area F, temperature ratio of heat reservoirs τ, heat transfer coefficient α and β. Distributing information of phase portraits of system is obtained. The results can provide guidelines for designing the real heat pump.