同济大学学报（自然科学版）2025，Vol.53Issue(2)：206-213,8.DOI:10.11908/j.issn.0253-374x.23226
使用高阶无条件稳定显式算法的实时混合模拟稳定性
Stability of Real-Time Hybrid Simulation Using High-Order Unconditionally Stable and Explicit Algorithms
摘要
Abstract
To provide high computational efficiency,accuracy and stability integration algorithms for real-time hybrid simulation(RTHS),the high order accurate,unconditionally stable new dual-explicit(NDE),and new semi-explicit(NSE)algorithms were developed based on the second-order accurate unconditionally stable and explicit Chen-Ricles(CR)and Chang algorithms.Based on the discrete control theory,the closed-loop discrete transfer function of the RTHS system using the two new algorithms were derived.The influences of time delay,damping ratio,stiffness proportional ratio,and integration algorithm on the stability of the RTHS system were investigated.Additionally,the approximation solution and accurate solution derived from the delay differential equation were also adopted for reference.The analytical results show that the time delay decreases the stability of the RTHS system.Increasing the stiffness proportional ratio reduces the difference between different analysis results.Increasing the damping ratio improves the stability of the RTHS system,enlarges the difference between the stability with and without considering the integration algorithm,and magnifies the difference between the stability using different integration algorithms.The stability of the RTHS system using the two high-order accurate integration algorithms is superior to that of the two second-order accurate integration algorithms.关键词
实时混合模拟/积分算法/稳定性/离散控制理论Key words
real-time hybrid simulation(RTHS)/integration algorithm/stability/discrete control theory分类
建筑与水利引用本文复制引用
傅博,张付泰,陈瑾..使用高阶无条件稳定显式算法的实时混合模拟稳定性[J].同济大学学报（自然科学版）,2025,53(2):206-213,8.基金项目
国家自然科学基金(51908048,52108432,52478124) （51908048,52108432,52478124）
长安大学中央高校基本科研业务费专项资金(300102283201) （300102283201）
长安大学青年学者学科交叉团队建设项目(300104240923) （300104240923）
