| 引用本文: | 王永,张磊,叶婧,等.基于3步4阶隐式泰勒级数法的电磁暂态数值计算方法[J].电力系统保护与控制,2018,46(11):8-13.[点击复制] |
| WANG Yong,ZHANG Lei,YE Jing,et al.Electromagnetic transient numerical calculation method based on 3-step 4-order implicit Taylor series method[J].Power System Protection and Control,2018,46(11):8-13[点击复制] |
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| 基于3步4阶隐式泰勒级数法的电磁暂态数值计算方法 |
| 王永,张磊,叶婧,马骏,王晓勇,饶华兴,谭炜东,李强 |
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| (三峡大学电气与新能源学院，湖北 宜昌 443002;国家电网公司运行分公司上海管理处，上海 200000;国网 湖北省电力公司经济技术研究院，湖北 武汉 430062;江西电力景德镇供电公司，江西 景德镇 333000) |
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| 摘要: |
| 为解决电磁暂态数值计算中的数值振荡问题，将一种具有无限稳定性的3步4阶隐式泰勒级数法运用于电磁暂态数值计算中。相对于隐式梯形积分法而言，该数值积分方法既具有A-稳定性又具有无限稳定性，且其计算精度为6阶。因而，该方法对截断误差具有较快的衰减速率，从而可有效地抑制数值振荡。算例结果表明，与临界阻尼调整法相比较，使用该方法进行电磁暂态计算，能够采用较大的时间积分步长，计算效率高，可有效地避免因突变情况导致的数值振荡。 |
| 关键词: 电磁暂态计算 隐式泰勒级数法 临界阻尼调整法 数值振荡 |
| DOI：10.7667/PSPC171023 |
| 投稿时间：2017-07-10修订日期：2017-11-13 |
| 基金项目:国家自然科学基金项目资助(51407104) |
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| Electromagnetic transient numerical calculation method based on 3-step 4-order implicit Taylor series method |
| WANG Yong,ZHANG Lei,YE Jing,MA Jun,WANG Xiaoyong,RAO Huaxing,TAN Weidong,LI Qiang |
| (College of Electrical Engineering & New Energy, China Three Gorges University, Yichang 443002, China;China Shanghai Administration Bureau of State Grid Operation Company, Shanghai 200000, China;State Grid Hubei Electric Power Company Economic and Technological Institute, Wuhan 430062, China;Jingdezhen Power Supply Company, Jiangxi Electric Power Company, Jingdezhen 333000, China) |
| Abstract: |
| In order to solve the problem of numerical oscillation in electromagnetic transient numerical calculation, a 3-step 4-order implicit Taylor series method with infinite stability is applied to the numerical calculation of electromagnetic transient. Compared with the implicit trapezoidal integration method, the numerical integration method is both A-stability and infinite stability. And it has 6 order calculation accuracy. Thus, the method has a fast decay rate for the truncation error, which can effectively suppress the numerical oscillation. The numerical results show that the proposed method can be free of numerical oscillation effectively when sudden change happens. Besides, compared with the critical damping method, using the proposed method to implement electromagnetic transient calculation can take a larger time integration step, which can get higher computational efficiency. This work is supported by National Natural Science Foundation of China (No. 51407104). |
| Key words: electromagnetic transient calculation implicit Taylor series method critical damping adjustment method numerical oscillation |
