| 引用本文: | 吴浩,李京,甘德强.基于平方和规划理论的电力系统吸引域估计方法[J].电力自动化设备,2025,45(4):194-201 |
| WU Hao,LI Jing,GAN Deqiang.Estimation method for attraction region of power system based on sum of squares programming theory[J].Electric Power Automation Equipment,2025,45(4):194-201 |
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| 摘要: |
| 电网在送受端高度耦合的新形态下呈现暂态稳定问题交织的特点，需要进一步研究摇摆方程结构特征，进而分析电力系统动态机理。基于功角摇摆动态过程，指出可以采用多项式数学模型描述电网；基于单机和多机系统，根据坐标变换以及响应特点，利用泰勒展开探究摇摆方程的多项式型结构特性；根据受限微分代数系统引出起源于多项式系统的平方和规划理论，推导电力系统的吸引域约束，据此提出基于s优化-V优化两阶段迭代过程的多项式型电力系统吸引域估计方法。单机系统和IEEE 3机9节点系统的仿真算例表明，所提方法能够有效估计电力系统吸引域，验证了所提方法及理论的有效性。 |
| 关键词: 平方和规划 吸引域估计 摇摆方程 多项式型电力系统 两阶段优化方法 |
| DOI：10.16081/j.epae.202411029 |
| 分类号:TM712;TM761 |
| 基金项目:国家自然科学基金资助项目(U2166601) |
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| Estimation method for attraction region of power system based on sum of squares programming theory |
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WU Hao, LI Jing, GAN Deqiang
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College of Electrical Engineering, Zhejiang University, Hangzhou 310027, China
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| Abstract: |
| The power grid presents the characteristic of intertwining between transient stability problems in the new form of highly coupled sending and receiving ends, it is necessary to research the structural characteristic of swing equations and then analyze the dynamic mechanism of power system. Based on the dynamic process of rotor angle swing, it is noted that the power grid can be described using polynomial mathematical models. Based on single-machine and multi-machine systems, the polynomial structural characteristic of swing equations is explored using Taylor expansion according to the coordinate transformation and response characteristic. The theory of sum of squares programming originating from polynomial system is introduced according to the constrained differential algebraic system, the attraction domain constraints of power system are derived, on this basis, an attraction domain estimation method for polynomial power system based on two-stage iterative process of s-optimization and V-optimization is proposed. The simulation examples of a single-machine system and the IEEE 3-machine 9-bus system show that the proposed method can effectively estimate the attraction domain of power system, verifying the effectiveness of the proposed method and theory. |
| Key words: sum of squares programming estimation of attraction region swing equation polynomial type power system two-stage optimization method |
