A Transient Stability Numerical Integration Algorithm for Variable Step Sizes Based on Virtual Input
In order to reduce the online calculations for power system simulations of transient stability, and dramatically improve numerical integration efficiency, a transient stability numerical integration algorithm for variable step sizes based on virtual input is proposed. The method for fully constructi...
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| Veröffentlicht in: | Energies (Basel) Jg. 10; H. 11; S. 1736 |
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| Format: | Journal Article |
| Sprache: | Englisch |
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Basel
MDPI AG
01.11.2017
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| ISSN: | 1996-1073, 1996-1073 |
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| Abstract | In order to reduce the online calculations for power system simulations of transient stability, and dramatically improve numerical integration efficiency, a transient stability numerical integration algorithm for variable step sizes based on virtual input is proposed. The method for fully constructing the nonhomogeneous virtual input for a certain integration scheme is given, and the calculation method for the local truncation error of the power angle for the corresponding integration scheme is derived. A step size control strategy based on the predictor corrector variable step size method is proposed, which performs an adaptive control of the step size in the numerical integration process. The proposed algorithm was applied to both the IEEE39 system and a regional power system (5075 nodes, 496 generators) in China, and demonstrated a high level of accuracy and efficiency in practical simulations compared to the conventional numerical integration algorithm. |
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| AbstractList | In order to reduce the online calculations for power system simulations of transient stability, and dramatically improve numerical integration efficiency, a transient stability numerical integration algorithm for variable step sizes based on virtual input is proposed. The method for fully constructing the nonhomogeneous virtual input for a certain integration scheme is given, and the calculation method for the local truncation error of the power angle for the corresponding integration scheme is derived. A step size control strategy based on the predictor corrector variable step size method is proposed, which performs an adaptive control of the step size in the numerical integration process. The proposed algorithm was applied to both the IEEE39 system and a regional power system (5075 nodes, 496 generators) in China, and demonstrated a high level of accuracy and efficiency in practical simulations compared to the conventional numerical integration algorithm. |
| Author | Gao, Yifan Wang, Jianquan Jiang, Daozhuo Xiao, Tannan |
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| Cites_doi | 10.1016/j.cam.2003.08.053 10.1016/j.cnsns.2006.03.007 10.1016/0045-7949(94)00537-D 10.1109/CEFC.2010.5481611 10.2514/1.25732 10.1142/9781860949524_0128 10.1016/0045-7825(95)00824-K 10.1109/TEMC.2007.913222 10.1109/ICPST.2006.321592 10.1002/cnm.502 10.2514/2.1248 10.1243/PIME_PROC_1994_208_148_02 |
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| References | Fung (ref_5) 2008; 46 Lin (ref_7) 1995; 56 ref_14 ref_13 Guo (ref_17) 2005; 25 Huang (ref_6) 2007; 12 Shen (ref_8) 1995; 126 ref_3 Hua (ref_11) 2002; 22 Zhong (ref_2) 1994; 208 ref_15 ref_9 Tang (ref_16) 2008; 50 Fu (ref_12) 2007; 39 Zhong (ref_1) 2004; 163 Gu (ref_4) 2001; 39 Wang (ref_10) 2002; 18 |
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