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本文导出了非线性传热q(T_R,T_w)=a(T_w~(-1)-T_R~(-1))情况下内可逆三热源热泵的最佳供热系数与供热率间的关系:当ψ<1时,有π=αψ[T_p(T_H-T_o)-T_H(T_p-T_o)ψ]/(4T_HT_pT_o);当ψ>1时,有π=a[T_p(T_H-T_o)/ψ-T_H(T_p-T_o)]/(4T_HT_pT_o)。并证明,当T_p>2T_HT_o/(T_H+T_o)时,最大供热率对应的最佳供热系数为ψ_m=T_p(T_H-T_o)/[2T_H(T_p-T_o)];当T_P≤2T_HT_o/(T_H+T_o)时,最佳热系数是供热率的单调减函数。
In this paper, the relationship between the optimal heating coefficient and the heating rate of an internally reversible three-heat source heat pump with nonlinear heat transfer q (T_R, T_w) = a (T_w -1 -1 -T_R -1) : Π = αψ [T_p (T_H-T_o) -T_H (T_p-T_o) ψ] / (4T_HT_pT_o) when ψ <1; π = a [T_p (T_H-T_o) / ψ-T_H (T_p-T_o)] / (4T_HT_pT_o). And it is proved that when T_p> 2T_HT_o / (T_H + T_o), the optimal heating coefficient corresponding to the maximum heating rate is ψ_m = T_p (T_H-T_o) / [2T_H (T_p-T_o)]; when T_P≤2T_HT_o / (T_H + T_o), the optimal heat coefficient is a monotonically decreasing function of the heating rate.