基于线性-定弧长混合校正的连续追踪暂态仿真算法

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摘要延拓参数算法在电力系统连续潮流分析中已获得成功应用,该算法进一步发展为连续参数化轨迹追踪（CPTT）仿真算法,应用于暂态仿真计算中。CPTT方法避免了传统仿真方法由代数奇点引起的数值积分发散问题。但是,CPTT仿真算法中常用的切向预测存在一定缺陷,在故障开始阶段或故障趋于平缓阶段,可能出现预测失败,导致线性校正发散而无法继续。本文提出一种线性-定弧长混合校正技术的CPTT方法,解决了上述预测失败问题;通过合理选择延拓参数,不仅克服定弧长校正可能引发的振荡问题,而且改善了仿真曲线出现“削峰平底”的现象,即轨迹失真问题。本文算法收敛精度等价于一般隐式仿真算法,计算速度优于传统CPTT仿真算法,算例证明了该方法的合理性和工程应用前景。

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	王丹
	贾宏杰
	王伟亮
	陈沼宇
	余晓丹

关键词 ：电力系统, 延拓参数, 变参数追踪, 定弧长校正, 延拓参数选择

Abstract：The continuous parameterization-based tracing method has been used for power system continuation power flow. It is further developed into transient stability simulation, called continuous parameterization-based trajectory tracing (CPTT) method. The numerical integration problem caused by algebraic singularity can be avoided by CPTT method. However, tangential prediction of CPTT method might fail to solve when fault occurs or disappears, which could lead to numerical instability of linearity correction. In this paper, a novel CPTT method was presented by using linearity-arc length hybrid correction technology. Prediction problem can be then solved. Furthermore, the numerical instability of linearity correction can be solved by selecting reasonable continuous parameters. Finally, the problem of simulation trajectory distortion can be solved. The test results show that the new method is equivalent to classical implicit integration method in accuracy, and better than classical parameter-switching tracing method in computing speed, and has good prospect of engineering application.

Key words： Power system continuous parameters parameter-switching tracing arc fixed length corrector continuous parameter selecting

收稿日期: 2015-11-16 出版日期: 2017-05-26

PACS:

TM712

基金资助:国家高技术研究发展计划（863计划）（2015AA050403）、国家自然科学基金（51277128,51407125）和山东省青岛市创新领军人才项目（15-10-3-15-(43)-zch）资助

通讯作者: 王丹男,1981年生,副教授,硕士生导师,研究方向为电力系统仿真与控制、分布式发电系统与微网、综合能源系统分析。E-mail: wangdantjuee@tju.edu.cn

作者简介: 贾宏杰男,1973年生,教授,博士生导师,研究方向为电网稳定性分析、电网规划和新能源集成。E-mail: hjjia@tju.edu.cn

引用本文:

王丹, 贾宏杰, 王伟亮, 陈沼宇, 余晓丹. 基于线性-定弧长混合校正的连续追踪暂态仿真算法[J]. 电工技术学报, 2017, 32(10): 264-272. Wang Dan, Jia Hongjie, Wang Weiliang, Chen Zhaoyu, Yu Xiaodan. A Transient Stability Simulation of Continuous Trajectory Tracing Based on Linearity-Arc Length Hybrid Correction Technology. Transactions of China Electrotechnical Society, 2017, 32(10): 264-272.

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https://dgjsxb.ces-transaction.com/CN/Y2017/V32/I10/264

[1] 秦超, 刘艳丽, 余贻鑫. 含双馈风机电力系统动态安全域[J]. 电工技术学报, 2015, 30(18): 157-163.
Qin Chao, Liu Yanli, Yu Yixin. Dynamic security region of power systems with double fed induction generator[J]. Transactions of China Electrotechnical Society, 2015, 30(18): 157-163.
[2] 叶瑞丽, 刘瑞叶, 刘建楠, 等. 直驱风电机组风电场接入后的电力系统暂态稳定计算[J]. 电工技术学报, 2014, 29(6): 211-219.
Ye Ruili, Liu Ruiye, Liu Jiannan, et al. Transient stability calculation of power system integrated with direct-drive wind farm with permanent magnet synchronous[J]. Transactions of China Electro- technical Society, 2014, 29(6): 211-219.
[3] 杨柳青, 林舜江, 刘明波, 等. 考虑风电接入的大型电力系统多目标动态优化调度[J]. 电工技术学报, 2014, 29(10): 286-295.
Yang Liuqing, Lin Shunjiang, Liu Mingbo, et al. Multi-objective dynamic optimal dispatch for large- scale power systems considering wind power penetr- ation[J]. Transactions of China Electrotechnical Society, 2014, 29(10): 286-295.
[4] 谭谨, 王晓茹, 李龙源. 含大规模风电的电力系统小扰动稳定研究综述[J]. 电力系统保护与控制, 2014, 42(3): 15-23.
Tan Jin, Wang Xiaoru, Li Longyuan. A survey on small signal stability analysis of power systems with wind power integration[J]. Power System Protection and Control, 2014, 42(3): 15-23.
[5] 蒋程, 刘文霞, 张建华, 等. 含风电接入的发输电系统风险评估[J]. 电工技术学报, 2014, 29(2): 260-270.
Jiang Cheng, Liu Wenxia, Zhang Jianhua, et al. Risk assessment of generation and transmission systems considering wind power penetration[J]. Transactions of China Electrotechnical Society, 2014, 29(2): 260- 270.
[6] 黎静华, 文劲宇, 潘毅, 等. 面向新能源并网的电力系统鲁棒调度模式[J]. 电力系统保护与控制, 2014, 42(22): 47-54.
Li Jinghua, Wen Jinyu, Pan Yi, et al. Robust dispatching mode of electrical power system to cope with renewable energy power[J]. Power System Pro- tection and Control, 2014, 42(22): 47-54.
[7] 黄龙祥, 苗世洪, 赵峰, 等. 大电网暂态稳定概率评估方法及风险指标研究[J]. 电力自动化设备, 2013, 33(11): 105-110.
Huang Longxiang, Miao Shihong, Zhao Feng, et al. Transient stability probability assessment and risk indexes for large scale power systems[J]. Electric Power Automation Equipment, 2013, 33(11): 105-110.
[8] 郭小璇, 龚仁喜, 鲍海波, 等. 含新能源电力系统机会约束经济调度的二阶锥规划方法[J]. 电力系统保护与控制, 2015, 43(22): 85-91.
Guo Xiaoxuan, Gong Renxi, Bao Haibo, et al. Second-order cone programming method of chance constrained economic dispatch considering renewable energy sources[J]. Power System Protection and Control, 2015, 43(22): 85-91.
[9] 黄小庆, 曹阳, 吴卫良, 等. 考虑电压暂降指标的电压协调控制方法研究[J]. 电力系统保护与控制, 2015, 43(22): 147-154.
Huang Xiaoqing, Cao Yang, Wu Weiliang, et al. Research on voltage coordination control method considering voltage sag index[J]. Power System Protection and Control, 2015, 43(22): 147-154.
[10] 田芳, 黄彦浩, 史东宇, 等. 电力系统仿真分析技术的发展趋势[J]. 中国电机工程学报, 2014, 34(13): 2151-2163.
Tian Fang, Huang Yanhao, Shi Dongyu, et al. Developing trend of power system simulation and analysis technology[J]. Proceedings of the CSEE, 2014, 34(13): 2151-2163.
[11] Sanchez-Gasca J J, D’Aquila R, Paserba J J, et al. Extended-term dynamic simulation using variable time step integration[J]. IEEE Computer Applications in Power, 1993, 6(4): 23-28.
[12] Kurita A, Okubo H, Oki K, et al. Multiple time-scale power system dynamic simulation[J]. IEEE Transa- ctions on Power Systems, 1993, 8(1): 216-223.
[13] Fankhauser H R, Aneros K, Edris A A, et al. Advanced simulation techniques for the analysis of power system dynamics[J]. IEEE Computer Appli- cations in Power, 1990, 3(4): 31-36.
[14] Deuse J, Stubbe M. Dynamic simulation of voltage collapses[J]. IEEE Transactions on Power Systems, 1993, 8(3): 894-904.
[15] deMello F P, Feltes J W, Laskowski T F, et al. Simulating fast and slow dynamic effects in power system[J]. IEEE Computer Applications in Power, 1992, 5(3): 33-38.
[16] Wanner G, Hairer E. Solving ordinary differential equations II[M]. Berlin: Springer-Verlag, 1991.
[17] Gear C W, Kevrekidis I G. Projective methods for stiff differential equations: problems with gaps in their eigenvalue spectrum[J]. SIAM Journal on Scientific Computing, 2006, 24(4): 1091-1106.
[18] Venkatasubramanian V, Schattler H, Zaborszky J. Local bifurcations and feasibility regions in differential- algebraic systems[J]. IEEE Transactions on Auto- matic Control, 1995, 40(12): 1992-2013.
[19] Rheinboldt W C. Numerical analysis of para- meterized nonlinear equations[M]. New York: Wiley, 1986.
[20] Ajjarapu V, Christy C. The continuation power flow:a tool for steady state voltage stability analysis[J]. IEEE Transactions on Power Systems, 1992, 7(1): 416-423.
[21] Zhou Y, Ajjarapu V. A novel approach to trace time-domain trajectories of power systems in multiple time scales[J]. IEEE Transactions on Power Systems, 2005, 20(1): 149-155.
[22] 郭琦, 赵晋泉, 张伯明. 基于变参数追踪的暂态稳定分析与预防控制方法[J]. 电力系统自动化, 2005, 29(24): 21-26.
Guo Qi, Zhao Jinquan, Zhang Boming. Transient stability analysis and preventive control approach based on parameter-switching tracing method[J]. Auto- mation of Electric Power Systems, 2005, 24(24): 21-26.
[23] 王成山, 李国庆, 余贻鑫, 等. 电力系统区域间功率交换能力的研究（一）：连续型方法的基本理论及应用[J]. 电力系统自动化, 1999, 23(3): 23-26.
Wang Chengshan, Li Guoqing, Yu Yixin, et al. Study on transmission transfer capability of interconnected electric power systems (I): basic theory of continu- ation method and its application[J]. Automation of Electric Power Systems, 1999, 23(3): 23-26.
[24] Chiang H, Flueck A J, Shah K S, et al. CPFLOW: a practical tool for tracing power system steady-state stationary behavior due to load and generation variations[J]. IEEE Transactions on Power Systems, 1995, 10(2): 623-634.
[25] 祝达康, 程浩忠. 求取电力系统PV曲线的改进连续潮流法[J]. 电网技术, 1999, 23(4): 37-40, 48.
Zhu Dakang, Cheng Haozhong. An improved con- tinuation method in tracing PV curves of power systems[J]. Power System Technology, 1999, 23(4): 37-40, 48.