Maximum power output of a class of irreversible non-regeneration heat engines with non-uniform working fluid,in which heat transfers between the working fluid and the heat reservoirs obey the linear phenomenological h...Maximum power output of a class of irreversible non-regeneration heat engines with non-uniform working fluid,in which heat transfers between the working fluid and the heat reservoirs obey the linear phenomenological heat transfer law [q ∝Δ(T-1)],are studied in this paper. Optimal control theory is used to determine the upper bounds of power of the heat engine for the lumped-parameter model and the distributed-parameter model,respectively. The results show that the maximum power output of the heat engine in the distributed-parameter model is less than or equal to that in the lumped-parameter model,which could provide more realistic guidelines for real heat engines. Analytical solutions of the maximum power output are obtained for the irreversible heat engines working between constant temperature reservoirs. For the irreversible heat engine operating between variable temperature reservoirs,a numerical example for the lumped-parameter model is provided by numerical calculation. The effects of changes of reservoir's temperature on the maximum power of the heat engine are analyzed. The obtained results are,in addition,compared with those obtained with Newtonian heat transfer law [q ∝Δ(T)].展开更多
为了研究长距离交流输电线路上并联电抗器布置对功率传输的影响,基于长距离超、特高压输电线路分布参数等效电路及二端口模型,分析了传输线路的最大传输功率及最大传输效率,推导了串补条件下两种并联电抗器布置方案的级联传输矩阵。采用...为了研究长距离交流输电线路上并联电抗器布置对功率传输的影响,基于长距离超、特高压输电线路分布参数等效电路及二端口模型,分析了传输线路的最大传输功率及最大传输效率,推导了串补条件下两种并联电抗器布置方案的级联传输矩阵。采用500 k V、1 100 k V线路典型参数,针对并联电抗器布置对最大传输功率与最大传输效率的影响进行数值模拟分析。研究结果表明并联电抗器位置在发送端与中点串补电容之间或者接收端与中点串补电容之间变化时,最大传输功率与最大传输效率均随其位置变化而发生变化。同时,并联电抗器补偿度也会影响功率传输,随着并联电抗器补偿度的增加最大传输功率及最大传输效率均会降低。展开更多
基金Supported by the Program for New Century Excellent Talents in University of China (Grant No. 20041006)the Foundation for the Author of National Excellent Doctoral Dissertation of China (Grant No. 200136)
文摘Maximum power output of a class of irreversible non-regeneration heat engines with non-uniform working fluid,in which heat transfers between the working fluid and the heat reservoirs obey the linear phenomenological heat transfer law [q ∝Δ(T-1)],are studied in this paper. Optimal control theory is used to determine the upper bounds of power of the heat engine for the lumped-parameter model and the distributed-parameter model,respectively. The results show that the maximum power output of the heat engine in the distributed-parameter model is less than or equal to that in the lumped-parameter model,which could provide more realistic guidelines for real heat engines. Analytical solutions of the maximum power output are obtained for the irreversible heat engines working between constant temperature reservoirs. For the irreversible heat engine operating between variable temperature reservoirs,a numerical example for the lumped-parameter model is provided by numerical calculation. The effects of changes of reservoir's temperature on the maximum power of the heat engine are analyzed. The obtained results are,in addition,compared with those obtained with Newtonian heat transfer law [q ∝Δ(T)].
文摘为了研究长距离交流输电线路上并联电抗器布置对功率传输的影响,基于长距离超、特高压输电线路分布参数等效电路及二端口模型,分析了传输线路的最大传输功率及最大传输效率,推导了串补条件下两种并联电抗器布置方案的级联传输矩阵。采用500 k V、1 100 k V线路典型参数,针对并联电抗器布置对最大传输功率与最大传输效率的影响进行数值模拟分析。研究结果表明并联电抗器位置在发送端与中点串补电容之间或者接收端与中点串补电容之间变化时,最大传输功率与最大传输效率均随其位置变化而发生变化。同时,并联电抗器补偿度也会影响功率传输,随着并联电抗器补偿度的增加最大传输功率及最大传输效率均会降低。