中国电力 ›› 2024, Vol. 57 ›› Issue (3): 60-72.DOI: 10.11930/j.issn.1004-9649.202306105
罗美玲1(), 李紫肖2(
), 郑涛2(
), 于晓军1, 吴建云1, 谢海滨1
收稿日期:
2023-06-27
接受日期:
2023-09-27
出版日期:
2024-03-28
发布日期:
2024-03-26
作者简介:
罗美玲(1982—),女,高级工程师(教授级),从事电网继电保护研究,E-mail:693400664@qq.com基金资助:
Meiling LUO1(), Zixiao LI2(
), Tao ZHENG2(
), Xiaojun YU1, Jianyun WU1, Haibin XIE1
Received:
2023-06-27
Accepted:
2023-09-27
Online:
2024-03-28
Published:
2024-03-26
Supported by:
摘要:
针对现有单端暂态量保护方案仅依赖单一故障特征进行故障识别导致可靠性不高的问题,提出了一种基于模糊多判据融合的单端暂态量保护新方案,实现不同单端暂态量保护方案间的优势互补。首先,分析了现有基于高低频暂态能量比值、故障初始零模/线模电压行波到达时间差以及前两个线模电压行波极性关系3种单端暂态量保护方案保护判据的特性及其动作灵敏区,在此基础上构造了相应判据的模糊隶属度函数;其次,针对不同暂态量保护方案的优缺点,基于模糊逻辑将上述3种单端暂态量保护方案进行有机融合以判别故障区段;最后,基于PSCAD/EMTDC的大量仿真,对比分析了上述3种暂态量保护方案以及所提新方案在不同故障位置、不同母线杂散电容、不同过渡电阻以及不同权重系数等条件下的适应性,验证了新方案的有效性。
罗美玲, 李紫肖, 郑涛, 于晓军, 吴建云, 谢海滨. 基于模糊多判据融合的单端暂态量保护新方案[J]. 中国电力, 2024, 57(3): 60-72.
Meiling LUO, Zixiao LI, Tao ZHENG, Xiaojun YU, Jianyun WU, Haibin XIE. Single Terminal Transient Protection Scheme Based on Fuzzy Multi-criteria Fusion[J]. Electric Power, 2024, 57(3): 60-72.
保护方案 | 优点 | 不足 | ||
1 | 动作可靠 | 依赖边界元件 | ||
2 | 不依赖边界元件 | 区内末端故障存在死区 | ||
3 | 能够识别前后50%故障区段 | 无法识别区内外故障 |
表 1 3种保护方案优缺点对比
Table 1 Comparison of advantages and disadvantages of three protection schemes
保护方案 | 优点 | 不足 | ||
1 | 动作可靠 | 依赖边界元件 | ||
2 | 不依赖边界元件 | 区内末端故障存在死区 | ||
3 | 能够识别前后50%故障区段 | 无法识别区内外故障 |
图 7 初始零模/线模电压行波时间差随x变化示意
Fig.7 Schematic diagram of time difference between initial zero-mode/line-mode voltage traveling wave changing with fault distance x
母线杂散 电容/μF | 故障 位置lf | 故障暂态特征量 | 隶属度函数值 | 综合隶属度函数值η | 动作结果 | |||||||||||||||||
λ | ∆t01/ms | η3 | η1 | η2 | 方案1 | 方案2 | 新方案 | |||||||||||||||
0.100 | 0.2lMN | 0.0287 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
0.8lMN | 0.0222 | 0.040 | –1 | 0.910 | 0.951 | 1 | 0.9550 | √ | √ | √ | ||||||||||||
0.95lMN | 0.0202 | 0.050 | –1 | 0.810 | 0.707 | 1 | 0.9050 | √ | × | √ | ||||||||||||
1.05lMN | 0.0068 | 0.055 | 1 | 0.140 | 0.585 | 0 | 0.0700 | × | × | × | ||||||||||||
1.2lMN | 0.0042 | 0.075 | 1 | 0.010 | 0.098 | 0 | 0.0050 | × | × | × | ||||||||||||
0.060 | 0.2lMN | 0.0290 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
0.8lMN | 0.0219 | 0.040 | –1 | 0.935 | 0.951 | 1 | 0.9675 | √ | √ | √ | ||||||||||||
0.95lMN | 0.0199 | 0.050 | –1 | 0.818 | 0.707 | 1 | 0.9090 | √ | × | √ | ||||||||||||
1.05lMN | 0.0114 | 0.055 | 1 | 0.318 | 0.585 | 0 | 0.1590 | × | × | × | ||||||||||||
1.2lMN | 0.0069 | 0.075 | 1 | 0.053 | 0.098 | 0 | 0.0265 | × | × | × | ||||||||||||
0.006 | 0.2lMN | 0.0289 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
0.8lMN | 0.0220 | 0.040 | –1 | 0.778 | 0.951 | 1 | 0.8890 | √ | √ | √ | ||||||||||||
0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.7665 | × | × | √ | ||||||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.2220 | × | × | × | ||||||||||||
1.2lMN | 0.0160 | 0.075 | 1 | 0.111 | 0.098 | 0 | 0.0555 | × | × | × |
表 2 不同故障位置和母线杂散电容下保护元件的动作结果
Table 2 Action results of protection elements under different fault positions and bus stray capacitance
母线杂散 电容/μF | 故障 位置lf | 故障暂态特征量 | 隶属度函数值 | 综合隶属度函数值η | 动作结果 | |||||||||||||||||
λ | ∆t01/ms | η3 | η1 | η2 | 方案1 | 方案2 | 新方案 | |||||||||||||||
0.100 | 0.2lMN | 0.0287 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
0.8lMN | 0.0222 | 0.040 | –1 | 0.910 | 0.951 | 1 | 0.9550 | √ | √ | √ | ||||||||||||
0.95lMN | 0.0202 | 0.050 | –1 | 0.810 | 0.707 | 1 | 0.9050 | √ | × | √ | ||||||||||||
1.05lMN | 0.0068 | 0.055 | 1 | 0.140 | 0.585 | 0 | 0.0700 | × | × | × | ||||||||||||
1.2lMN | 0.0042 | 0.075 | 1 | 0.010 | 0.098 | 0 | 0.0050 | × | × | × | ||||||||||||
0.060 | 0.2lMN | 0.0290 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
0.8lMN | 0.0219 | 0.040 | –1 | 0.935 | 0.951 | 1 | 0.9675 | √ | √ | √ | ||||||||||||
0.95lMN | 0.0199 | 0.050 | –1 | 0.818 | 0.707 | 1 | 0.9090 | √ | × | √ | ||||||||||||
1.05lMN | 0.0114 | 0.055 | 1 | 0.318 | 0.585 | 0 | 0.1590 | × | × | × | ||||||||||||
1.2lMN | 0.0069 | 0.075 | 1 | 0.053 | 0.098 | 0 | 0.0265 | × | × | × | ||||||||||||
0.006 | 0.2lMN | 0.0289 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
0.8lMN | 0.0220 | 0.040 | –1 | 0.778 | 0.951 | 1 | 0.8890 | √ | √ | √ | ||||||||||||
0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.7665 | × | × | √ | ||||||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.2220 | × | × | × | ||||||||||||
1.2lMN | 0.0160 | 0.075 | 1 | 0.111 | 0.098 | 0 | 0.0555 | × | × | × |
故障 位置lf | 过渡 电阻/Ω | 故障暂态特征量 | 隶属度函数值 | 综合隶属度函数值η | 动作结果 | |||||||||||||||||
λ | ∆t01/ms | η3 | η1 | η2 | 方案1 | 方案2 | 新方案 | |||||||||||||||
0.05lMN | 20 | 0.0330 | 0 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
100 | 0.0305 | 0 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | ||||||||||||
0.2lMN | 20 | 0.0287 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
100 | 0.0276 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | ||||||||||||
0.8lMN | 20 | 0.0222 | 0.040 | –1 | 0.910 | 0.951 | 1 | 0.9550 | √ | √ | √ | |||||||||||
100 | 0.0223 | 0.040 | –1 | 0.915 | 0.951 | 1 | 0.9575 | √ | √ | √ | ||||||||||||
0.95lMN | 20 | 0.0202 | 0.050 | –1 | 0.810 | 0.707 | 1 | 0.9050 | √ | × | √ | |||||||||||
100 | 0.0213 | 0.050 | –1 | 0.865 | 0.707 | 1 | 0.9325 | √ | × | √ | ||||||||||||
1.05lMN | 20 | 0.0068 | 0.055 | 1 | 0.140 | 0.585 | 0 | 0.0700 | × | × | × | |||||||||||
100 | 0.0065 | 0.055 | 1 | 0.125 | 0.585 | 0 | 0.0625 | × | × | × | ||||||||||||
1.2lMN | 20 | 0.0042 | 0.075 | 1 | 0.010 | 0.098 | 0 | 0.0050 | × | × | × | |||||||||||
100 | 0.0043 | 0.075 | 1 | 0.015 | 0.098 | 0 | 0.0075 | × | × | × |
表 3 不同故障位置和过渡电阻下保护元件的动作结果
Table 3 Action results of protection elements under different fault positions and transition resistances
故障 位置lf | 过渡 电阻/Ω | 故障暂态特征量 | 隶属度函数值 | 综合隶属度函数值η | 动作结果 | |||||||||||||||||
λ | ∆t01/ms | η3 | η1 | η2 | 方案1 | 方案2 | 新方案 | |||||||||||||||
0.05lMN | 20 | 0.0330 | 0 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
100 | 0.0305 | 0 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | ||||||||||||
0.2lMN | 20 | 0.0287 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | |||||||||||
100 | 0.0276 | 0.005 | 1 | 1 | 1 | 1 | 1 | √ | √ | √ | ||||||||||||
0.8lMN | 20 | 0.0222 | 0.040 | –1 | 0.910 | 0.951 | 1 | 0.9550 | √ | √ | √ | |||||||||||
100 | 0.0223 | 0.040 | –1 | 0.915 | 0.951 | 1 | 0.9575 | √ | √ | √ | ||||||||||||
0.95lMN | 20 | 0.0202 | 0.050 | –1 | 0.810 | 0.707 | 1 | 0.9050 | √ | × | √ | |||||||||||
100 | 0.0213 | 0.050 | –1 | 0.865 | 0.707 | 1 | 0.9325 | √ | × | √ | ||||||||||||
1.05lMN | 20 | 0.0068 | 0.055 | 1 | 0.140 | 0.585 | 0 | 0.0700 | × | × | × | |||||||||||
100 | 0.0065 | 0.055 | 1 | 0.125 | 0.585 | 0 | 0.0625 | × | × | × | ||||||||||||
1.2lMN | 20 | 0.0042 | 0.075 | 1 | 0.010 | 0.098 | 0 | 0.0050 | × | × | × | |||||||||||
100 | 0.0043 | 0.075 | 1 | 0.015 | 0.098 | 0 | 0.0075 | × | × | × |
权重 系数 | 故障 位置 | 故障暂态特征量 | 隶属度函数值 | 综合隶属度 函数值η | ||||||||||||
λ | ∆t01/ms | η3 | η1 | η2 | ||||||||||||
m=0.8, n=0.2 | 0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.6264 | ||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.3552 | |||||||||
m=0.5, n=0.5 | 0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.7665 | ||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.2220 | |||||||||
m=0.3, n=0.7 | 0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.8599 | ||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.1332 |
表 4 弱边界时不同权重系数下综合隶属度函数值
Table 4 Comprehensive membership function values under different weight coefficients at weak boundaries
权重 系数 | 故障 位置 | 故障暂态特征量 | 隶属度函数值 | 综合隶属度 函数值η | ||||||||||||
λ | ∆t01/ms | η3 | η1 | η2 | ||||||||||||
m=0.8, n=0.2 | 0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.6264 | ||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.3552 | |||||||||
m=0.5, n=0.5 | 0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.7665 | ||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.2220 | |||||||||
m=0.3, n=0.7 | 0.95lMN | 0.0198 | 0.050 | –1 | 0.533 | 0.707 | 1 | 0.8599 | ||||||||
1.05lMN | 0.0190 | 0.055 | 1 | 0.444 | 0.585 | 0 | 0.1332 |
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