刘言程,彭宝营

• 1:北京信息科技大学机电工程学院

摘要(Abstract)：

为揭示自由活塞膨胀机-直线发电机（free piston expander-linear generator,FPELG）系统中多运行参数对系统峰值输出功率与活塞行程的交互影响，通过单因素试验确定进气压力、进气/膨胀/排气持续时间及负载电阻的合理范围，采用Box-Behnken设计，基于响应面法（response surface methodology, RSM）建立双响应的二次预测模型。方差分析结果显示，模型显著且失拟不显著。因素作用层级分析表明，进气压力与进气持续时间是影响峰值输出功率及活塞行程的主导因素。外部随机试验显示，峰值输出功率与活塞行程预测误差均在可接受范围，验证了模型可靠性。以活塞行程为约束、峰值输出功率最大化为目标进行参数寻优，获得工程适用的最优运行参数。研究结果可为FPE-LG系统多参数匹配、控制策略制定及试验运行区间优化提供理论支撑与方法参考。

关键词(KeyWords)： 自由活塞膨胀机-直线发电机;交互影响;多参数耦合;响应面法

Abstract:

Keywords:

基金项目(Foundation): 北京市自然科学基金项目（3192014）

作者(Author): 刘言程,彭宝营

DOI: 10.16508/j.cnki.11-5866/n.2026.02.009

参考文献(References)：

• [1]田亚明，张红光，李健，等.单气缸自由活塞膨胀机-直线发电机试验研究[J].兵工学报，2018,39(11):2092-2099.TIAN Y M,ZHANG H G,LI J,et al. Experimental investigation of a novel single cylinder free piston expander-linear generator[J]. Acta Armamentarii,2018,39(11):2092-2099.(in Chinese)
• [2]YANG F B,CHO H,ZHANG H G,et al. Thermoeconomic multiobjective optimization of a dual loop organic Rankine cycle(ORC)for CNG engine waste heat recovery[J]. Applied Energy,2017,205:1100-1118.
• [3]JIA B R,ZUO Z X,FENG H H,et al. Investigation of the starting process of free-piston engine generator by mechanical resonance[J]. Energy Procedia,2014,61:572-577.
• [4]许永红，童亮，张红光，等.自由活塞膨胀机-直线发电机试验与仿真研究[J].中国电机工程学报，2018,38(24):7391-7399.XU Y H,TONG L,ZHANG H G,et al. Experimental and simulation study of a free piston expander-linear generator[J].Proceedings of the CSEE,2018,38(24):7391-7399.(in Chinese)
• [5]HOU X C,ZHANG H G,YU F,et al. Free piston expanderlinear generator used for organic Rankine cycle waste heat recovery system[J]. Applied Energy,2017,208:1297-1307.
• [6]HOU X C,ZHANG H G,XU Y H,et al. External load resistance effect on the free piston expander-linear generator for organic Rankine cycle waste heat recovery system[J]. Applied Energy,2018,212:1252-1261.
• [7]HOU X C,ZHANG H G,XU Y H,et al. Performance investigation of a free piston expander-linear generator for small scale organic Rankine cycle[J]. Applied Thermal Engineering,2018,144:209-218.
• [8]XU Y H,TONG L,ZHANG H G,et al. Experimental investigation of a free piston expander-linear generator with different valve timings[J]. Applied Thermal Engineering,2018,142:555-565.
• [9]张红光，李健，田亚明，等.新型自由活塞膨胀机-直线发电机的性能分析[J].哈尔滨工业大学学报，2019,51(1):109-114.ZHANG H G,LI J,TIAN Y M,et al. Performance analysis on a novel free piston expander-linear generator[J]. Journal of Harbin Institute of Technology,2019,51(1):109-114.(in Chinese)
• [10]LI J,YANG F B,ZHANG H G,et al. Comparative analysis of different valve timing control methods for single-piston free piston expander-linear generator via an orthogonal experimental design[J]. Energy,2020,195:116966.
• [11]LIU Z X,WU Z,XU Y H,et al. Performance investigation of single-piston free piston expander-linear generator with multiparameter based on simulation model[J]. Energies,2022,15(23):9078.
• [12]张凯，彭宝营，王鹏家，等.自由活塞膨胀机-直线发电机流体仿真与运动分析[J].汽车技术，2023(12):40-46.ZHANG K,PENG B Y,WANG P J,et al. Fluid simulation and motion analysis of free piston expander-linear generator[J].Automobile Technology,2023(12):40-46.(in Chinese)
• [13]LI J,ZUO Z X,JIA B R,et al. Performance prediction and optimization of single-piston free piston expander-linear generator based on machine learning and genetic algorithm[J].International Journal of Energy Research,2024,2024(1):8316781.
• [14]梅轩彰，钟建琳，彭宝营，等.基于人工神经网络的自由活塞膨胀机-直线发电机输出性能敏感性分析[J].制造技术与机床，2024(11):62-70.MEI X Z,ZHONG J L,PENG B Y,et al. Sensitivity analysis of output performance of free piston expander-linear generator based on artificial neural network[J]. Manufacturing Technology&Machine Tool,2024(11):62-70.(in Chinese)
• [15]邬鸿霏，钟建琳，彭宝营.自由活塞膨胀机热机耦合分析及其优化设计[J].北京信息科技大学学报（自然科学版），2025,40(4):42-50.WU H F,ZHONG J L,PENG B Y. Thermo-mechanical coupling analysis and optimization design of free piston expander[J].Journal of Beijing Information Science&Technology University(Science and Technology Edition),2025,40(4):42-50.(in Chinese)
• [16]邬鸿霏，钟建琳，彭宝营.基于Fluent的自由活塞膨胀机-直线发电机结构优化设计[J].北京信息科技大学学报（自然科学版），2025,40(3):54-61.WU H F,ZHONG J L,PENG B Y. Fluent-based structural optimization of a free piston expander-linear generator[J].Journal of Beijing Information Science&Technology University(Science and Technology Edition),2025,40(3):54-61.(in Chinese)