引用本文: | 郑 涛,曲荣淇,陈云飞,等.基于牛顿法和拟牛顿法自适应结合的高比例新能源接入电网故障计算方法[J].电力系统保护与控制,2025,53(10):57-65.[点击复制] |
ZHENG Tao,QU Rongqi,CHEN Yunfei,et al.Fault calculation method for a power grid with high penetration of renewable energy based on adaptive combination of Newton and quasi-Newton methods[J].Power System Protection and Control,2025,53(10):57-65[点击复制] |
|
摘要: |
高比例新能源接入电网给电力系统安全稳定运行带来了新的挑战。现有的短路电流计算方法难以满足电力系统快速计算的需求,当新能源的渗透率增加时可能出现收敛性变差的问题。提出了一种基于牛顿法和拟牛顿法自适应结合的高比例新能源接入电网故障计算方法。首先,分析了新能源的控制策略对短路电流的影响,建立了新能源故障稳态阶段的等效模型。其次,针对牛顿类迭代算法计算速度与收敛性难以同时满足的问题,建立了新能源接入场景下迭代算法的不收敛预判据与效率判据。根据自适应选择判据在收敛性和效率的约束下选择算法实现故障电流的求解。最后,采用含新能源的改进IEEE33节点算例进行验证。结果表明,与传统方法相比,所提计算方法在计算速度和收敛性方面均具有优越性。 |
关键词: 分布式新能源 短路电流计算 迭代计算方法 收敛性 |
DOI:10.19783/j.cnki.pspc.240919 |
投稿时间:2024-07-14修订日期:2024-12-14 |
基金项目:国家自然科学基金联合基金项目资助(U2166205) |
|
Fault calculation method for a power grid with high penetration of renewable energy based on adaptive combination of Newton and quasi-Newton methods |
ZHENG Tao,QU Rongqi,CHEN Yunfei,AI Jingwen |
(State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources
(North China Electric Power University), Beijing 102206, China) |
Abstract: |
The high penetration of renewable energy into power grids introduces new challenges to the safe and stable operation of power systems. Existing short-circuit current calculation methods struggle to meet the speed requirements of modern power systems and often suffer from poor convergence as renewable energy penetration increases. This paper proposes a fault calculation method for power grids with high renewable energy integration, based on the adaptive combination of Newton and quasi-Newton methods. First, the influence of renewable energy control strategies on short-circuit current is analyzed, and an equivalent model for the steady-state fault condition of renewable energy sources is established. Then, to address the challenge of balancing computational speed and convergence in Newton-type iterative algorithms, non-convergence prediction and efficiency criteria are developed for renewable-rich scenarios. An adaptive selection mechanism is proposed to switch between Newton and quasi-Newton methods based on convergence and efficiency constraints, enabling accurate fault current computation. Finally, an improved IEEE33-bus test system with renewable energy integration is used for verification, and the results show that the proposed calculation method offers better performance in both computational speed and convergence than traditional methods. |
Key words: distributed renewable energy short-circuit current calculation iterative calculation method convergence |