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| A precise integration single-step method for nonhomogeneous dynamic equations |
| Received:March 28, 2019 Revised:May 14, 2019 |
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| DOI：10.7511/jslx20190328003 |
| KeyWord:nonhomogeneous dynamic equations precise integration method differential quadrature method variable order single-step method |
| Author | Institution |
| 王永 |
国网上海市电力公司特高压换流站分公司, 上海 |
| 马骏 |
国网湖北省电力有限公司, 武汉 |
| 李靖翔 |
南方电网超高压公司广州局, 广州 |
| 陈汝斯 |
国网湖北省电力有限公司电力科学研究院, 武汉 |
| 许杨 |
国网上海市电力公司特高压换流站分公司, 上海 |
| 郝跃东 |
国网上海市电力公司特高压换流站分公司, 上海 |
| 胡鹏 |
国网上海市电力公司特高压换流站分公司, 上海 |
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| Abstract: |
| Aiming at the nonhomogeneous equation v=Hv+f(v,t) used for a dynamic system,an efficient precise integration single-step method was proposed combined with the precise integration method (PIM) and the differential quadrature method (DQM).In the numerical integration process,the state matrix inversion was avoided and vk+i/s(i=1,2,…,s) is estimated by the explicit Runge-Kutta method in the same order with DQM. eHt is calculated by the PIM for the proposed algorithm,and the Duhamel integration term is calculated by the s-order s-order time-domain DQM.The algorithm is uniform and easy to be programmed,and the variable order and step-size can be flexibly realized.Compared with other single-step method and the predictor-corrector symplectic time-subdomain algorithm,the simulation results showed that the method has highly computational precision,high efficiency and good stability.It has great advantages in solving time response problems for large-scale dynamic systems. |
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