引用本文: | 刘建楠,白雪峰,徐 英,郭志忠.多步高阶Taylor级数暂态稳定最优积分格式[J].电力自动化设备,2012,32(10): |
| LIU Jiannan,BAI Xuefeng,XU Ying,GUO Zhizhong.Optimal integral scheme of multi-step high-order Taylor series method for transient stability calculation[J].Electric Power Automation Equipment,2012,32(10): |
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摘要: |
研究了多步高阶Taylor级数暂态稳定方法。在算法步数、阶数和精度确定的情况下,根据其计算量特点设计部分权系数为零,依据算法的收敛性和稳定性要求求取部分权系数,从而给出多步高阶Taylor级数法最优积分格式准则。 应用所提准则设计2步2阶算法最优积分格式。 算例结果验证了最优算法相对于普通多步高阶方法及单步高阶方法在稳定性和快速性上的提升。 |
关键词: 电力系统 暂态 稳定性 Taylor级数 多步高阶方法 最优积分格式 |
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Optimal integral scheme of multi-step high-order Taylor series method for transient stability calculation |
LIU Jiannan1, BAI Xuefeng1, XU Ying2, GUO Zhizhong1
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1.School of Electrical Engineering & Automation,Harbin Institute of Technology,Harbin 150001,China;2.Power Dispatch Communication Center of North China Grid Company Limited,Beijing 100053,China
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Abstract: |
The multi-step high-order Taylor series method of transient stability calculation is studied. The principle of its optimal integral scheme is proposed:when the step,order and precision are determined,some weight coefficients may be set as zero according to the calculation load and the others be figured out according to the requirements of algorithm for convergence and stability. The proposed principle is applied to design the 2-step 2-order optimal integral scheme and case study shows that,compared to the general multi-step high-order method or the single-step high-order method,its stability and speed are enhanced. |
Key words: electric power systems transients stability Taylor series multi-step high-order method optimal integral scheme |