| 引用本文: | 张芳,梁修功,黄河.基于Hamilton能量函数的直驱风电场经MMC-HVDC并网系统次同步稳定性分析[J].电力自动化设备,2025,45(7):43-53 |
| ZHANG Fang,LIANG Xiugong,HUANG He.Sub-synchronous stability analysis of direct-drive wind farm via MMC-HVDC grid-connected system based on Hamilton energy function[J].Electric Power Automation Equipment,2025,45(7):43-53 |
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| 摘要: |
| 针对现有直驱风电场经基于模块化多电平换流器的高压直流(MMC-HVDC)并网系统次同步稳定性分析方法鲜有直接得出主导控制器参数的解析表达式以及分析原理大多为阻尼角度的问题，提出一种基于Hamilton能量函数的直驱风电场经MMC-HVDC并网系统次同步稳定性分析方法。应用模块化思想，将直驱风电场经MMC-HVDC并网系统划分为9个子模块，详尽推导各子模块的等效同步发电机2阶线性化模型传递函数框图，建立各子模块的小扰动能量平衡关系式；将各子模块的小扰动动能和势能之和作为Hamilton能量函数，基于Hamilton能量理论分析得到9个子模块满足次同步稳定性条件的解析表达式，以此确定风机网侧换流器d轴和风电场侧MMC的d、q轴控制器参数的范围，为系统控制器参数设计提供指导。9个以解析形式给出的稳定性条件是整个系统在次同步频段稳定的充分条件，所提分析方法能为分析系统次同步稳定性提供新思路。 |
| 关键词: 直驱风电场 MMC-HVDC 等效同步发电机 Hamilton能量函数 次同步稳定性 |
| DOI：10.16081/j.epae.202504014 |
| 分类号:TM614;TM712 |
| 基金项目: |
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| Sub-synchronous stability analysis of direct-drive wind farm via MMC-HVDC grid-connected system based on Hamilton energy function |
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ZHANG Fang, LIANG Xiugong, HUANG He
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Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin 300072, China
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| Abstract: |
| In view of the problems that the existing sub-synchronization stability analysis methods of the direct-driven wind farm via modular multilevel converter-based high voltage direct current(MMC-HVDC) grid-connected system rarely directly obtain the analytical expressions of dominant controller parameters, and the analysis principles are mostly from the perspective of damping, a sub-synchronous stability analysis method of direct-drive wind farm via MMC-HVDC grid-connected system based on Hamilton energy function is proposed. Applying the idea of modularization, the direct-drive wind farm via MMC-HVDC grid-connected system is divided into nine sub-modules. The transfer function block diagram of second-order linearized model of equivalent synchronous generator for each sub-module is derived in detail and the small disturbance energy balance equation of each sub-module is established. The sum of the small disturbance kinetic energy and potential energy of each sub-module is taken as the Hamilton energy function. Based on Hamilton energy theory, the analytical expressions of the nine sub-modules satisfying the sub-synchronous stability conditions are obtained, based on which, the ranges of d-axis controller parameters for the wind turbine grid side converter and d-axis and q-axis controller parameters for the wind farm side MMC are determined, and provide guidance for the design of system controller parameters. The nine stability conditions given in analytical form are sufficient conditions for the stability of the whole system in the sub-synchronous frequency band. The proposed analysis method can provide new ideas for analyzing the sub-synchronous stability of the system. |
| Key words: direct-drive wind farm MMC-HVDC equivalent synchronous generator Hamilton energy function sub-synchronous stability |
