Continuumtopology optimization considering the vibration response is of great value in the engineering structure design.The aimof this studyis toaddress the topological designoptimizationof harmonic excitationstructur...Continuumtopology optimization considering the vibration response is of great value in the engineering structure design.The aimof this studyis toaddress the topological designoptimizationof harmonic excitationstructureswith minimumlength scale control to facilitate structuralmanufacturing.Astructural topology design based on discrete variables is proposed to avoid localized vibration modes,gray regions and fuzzy boundaries in harmonic excitation topology optimization.The topological design model and sensitivity formulation are derived.The requirement of minimum size control is transformed into a geometric constraint using the discrete variables.Consequently,thin bars,small holes,and sharp corners,which are not conducive to the manufacturing process,can be eliminated from the design results.The present optimization design can efficiently achieve a 0–1 topology configuration with a significantly improved resonance frequency in a wide range of excitation frequencies.Additionally,the optimal solution for harmonic excitation topology optimization is not necessarily symmetric when the load and support are symmetric,which is a distinct difference fromthe static optimization design.Hence,one-half of the design domain cannot be selected according to the load and support symmetry.Numerical examples are presented to demonstrate the effectiveness of the discrete variable design for excitation frequency topology optimization,and to improve the design manufacturability.展开更多
高压直流输电(high voltage direct current,HVDC)由于快速响应和短时过载特性对紧急控制或功率突然严重缺额地区进行紧急功率支援作用巨大,同时能很好解决区域振荡问题。利用PSCAD/EMTDC建立3机3直流系统的仿真模型,然后,在不添加任何...高压直流输电(high voltage direct current,HVDC)由于快速响应和短时过载特性对紧急控制或功率突然严重缺额地区进行紧急功率支援作用巨大,同时能很好解决区域振荡问题。利用PSCAD/EMTDC建立3机3直流系统的仿真模型,然后,在不添加任何直流附加控制的情况下,分别对正常运行的HVDC1、HVDC2和HVDC3的控制系统施加与功率增量P对应的调制指令,利用Prony辨识分析发电机功角差,找出有效抑制交流系统振荡的直流控制点。并根据最优变目标理论,在HVDC1停运时以最大能量耗散原理为基础利用故障驱动和轨迹驱动分时段进行紧急控制和阻尼控制,研究大扰动后交直流系统恢复稳定情况。结果表明利用分时段紧急协调控制且只在有效控制点进行后时段(即第2和第3时段)直流小方式调制能有效提高系统暂态稳定,改善系统后续阻尼,防止过/欠控及后续摆阻尼降低现象发生,使系统快速恢复稳定。展开更多
基金supported by the National Natural Science Foundation of China (12002218 and 12032008)the Youth Foundation of Education Department of Liaoning Province (Grant No.JYT19034).
文摘Continuumtopology optimization considering the vibration response is of great value in the engineering structure design.The aimof this studyis toaddress the topological designoptimizationof harmonic excitationstructureswith minimumlength scale control to facilitate structuralmanufacturing.Astructural topology design based on discrete variables is proposed to avoid localized vibration modes,gray regions and fuzzy boundaries in harmonic excitation topology optimization.The topological design model and sensitivity formulation are derived.The requirement of minimum size control is transformed into a geometric constraint using the discrete variables.Consequently,thin bars,small holes,and sharp corners,which are not conducive to the manufacturing process,can be eliminated from the design results.The present optimization design can efficiently achieve a 0–1 topology configuration with a significantly improved resonance frequency in a wide range of excitation frequencies.Additionally,the optimal solution for harmonic excitation topology optimization is not necessarily symmetric when the load and support are symmetric,which is a distinct difference fromthe static optimization design.Hence,one-half of the design domain cannot be selected according to the load and support symmetry.Numerical examples are presented to demonstrate the effectiveness of the discrete variable design for excitation frequency topology optimization,and to improve the design manufacturability.
文摘高压直流输电(high voltage direct current,HVDC)由于快速响应和短时过载特性对紧急控制或功率突然严重缺额地区进行紧急功率支援作用巨大,同时能很好解决区域振荡问题。利用PSCAD/EMTDC建立3机3直流系统的仿真模型,然后,在不添加任何直流附加控制的情况下,分别对正常运行的HVDC1、HVDC2和HVDC3的控制系统施加与功率增量P对应的调制指令,利用Prony辨识分析发电机功角差,找出有效抑制交流系统振荡的直流控制点。并根据最优变目标理论,在HVDC1停运时以最大能量耗散原理为基础利用故障驱动和轨迹驱动分时段进行紧急控制和阻尼控制,研究大扰动后交直流系统恢复稳定情况。结果表明利用分时段紧急协调控制且只在有效控制点进行后时段(即第2和第3时段)直流小方式调制能有效提高系统暂态稳定,改善系统后续阻尼,防止过/欠控及后续摆阻尼降低现象发生,使系统快速恢复稳定。
