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基于神经网络和微分方程的串联补偿输电线路故障定位的研究.doc
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基于神经网络和微分方程的串联补偿输电线路故障定位的研究.doc
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摘要
电力系统规模不断扩大,结构复杂,运行状态经常变化,尤其高压输电线路是发电
厂和用户之间联系的纽带,是电力系统的重要组成部分,承担着输送电能的任务,同时
又是电力系统中最容易发生故障的环节之一。电力系统的故障大部分发生在输电线路
上,输电线路一旦发生故障,将给社会经济生活带来极大的影响,是否能够及时而准确
的对故障进行定位,对于电力系统保持稳定和经济运行至关重要。因此,对输电线路的
故障进行准确定位是从技术上保证电网安全、稳定和经济运行的重要举措。
在输电线路上使用串联补偿装置能够有效地降低输电系统间的电抗值,提高输电能
力,增加系统运行的稳定性和降低输电系统的工程造价,因此,串联补偿电容在输电线
路中得到了广泛的应用。但是,由于串联补偿电容的存在改变了输电线路的均匀性,其
故障测距一直是困扰行业的一个难题。快速并准确的对串联补偿输电线路故障进行定位
对电力系统的安全和经济运行起到了重要的意义。
本文在分析现有的串联补偿输电线路故障定位算法的基础上,将微分方程数学模型
和神经网络相融合,提出了一种新的故障定位方法。首先,通过相模变换将相量值转化
成模量值,进而在模量域内计算故障距离;然后,依照实际的输电线路模型产生用于输
电线路故障测距的数据样本,利用得到的数据样本对神经网络模型进行训练和测试,并
将训练好的神经网络用于串联补偿输电线路故障的预判定中;利用神经网络的预处理结
果和改进微分方程的输电线路数学模型求解故障点,即假设故障点发生在串联补偿电容
的两侧,通过计算得到 2 个故障相关定位解,再利用线路两端获取的数据分别计算出故
障点电压值,根据故障点电压值应该相等的原理确定真根排除伪根,从而判定出故障点
的位置。最后,利用
MATLAB7.0
对不同过渡电阻、不同故障类型的多种短路故障进行
了仿真实验,结果表明:神经网络与微分方程相结合的方法在串联补偿输电线路故障定
位中具有很强的实用性与准确性。
关键词 故障检测;串联补偿电容;双端电气量;微分方程;神经网络
Abstract
Expanding the size of the power system, the complex structure, running status is
constantly changing, especially the high-voltage transmission lines is the link between power
plants and between users, an important part of the power system, undertake the task of
conveying the electrical energy, but it is also the power system most prone to failure of one of
the links. Most of the power system fault occurs in transmission lines, transmission lines, in the
event of failure to give social and economic life have a tremendous impact, whether timely and
accurate fault locate, for the power system to maintain stability and economic operation crucial.
Therefore, the accurate positioning of the failure of the transmission line is an important
measure to ensure network security, stability and economic operation technically.
Series compensation devices in transmission lines can effectively reduce the reactance of
the transmission system, improving transmission capacity, increase system stability and reduce
the project cost of the transmission system, series compensation capacitors in the transmission
line has been widely applications. However, due to series compensation capacitance exists to
change the uniformity of the transmission line, the fault location has been a problem plaguing
the industry. Fast and accurate positioning of series compensated transmission line fault on the
safe and economic operation of power system has played an important significance.
In this paper, the analysis of the existing series compensated transmission line fault
location algorithm based on differential equations of mathematical models and neural networks
will improve the integration of a new fault location method. First, by the phase -mode
transformation, the phase value into the value of the modulus, and then calculate the fault
distance modulus regions; Then, in accordance with the actual transmission line model for
transmission line fault data samples, the use of data samples for training and testing the neural
network model, and trained neural networks for series compensated transmission line fault pre-
judgment in; Transmission line mathematical model of neural network pre-processing results
and improvement of differential equations to solve the point of failure, assuming that the point
of failure occurred in the series on both sides of the compensation capacitor, by calculating the
two fault targeting solution, and then use the line at both ends to obtain the fault point voltage
value, the data were calculated according to the principle of fault point voltage value should be
equal to determine the true root to exclude pseudo - root, and thus determine the location of the
point of failure. Finally, the use of different transition resistance, variety of different fault types
or short-circuit fault simulation results show that: the method of combining neural networks
and improve differential equations in series compensated transmission line fault location has a
strong practical and accurate sex.
Keywords Fault detection; compensation capacitor in series; samples at both ends;
differential equations; neural network
目录
摘要 ...............................................................................................................................................I
Abstract.......................................................................................................................................II
1 绪论...........................................................................................................................................1
1.1 串联补偿线路故障检测研究的意义 ...................................................................................1
1.2 输电线路故障定位的发展历史 ...........................................................................................1
1.3 串联补偿输电线路故障定位方法 .......................................................................................2
1.3.1 行波法................................................................................................................................2
1.3.2 故障分析法........................................................................................................................3
1.3.3 阻抗法................................................................................................................................4
1.3.4 智能化的故障定位方法....................................................................................................6
1.4 课题研究的内容 ...................................................................................................................6
2 串联补偿装置在电力系统中的应用 ......................................................................................7
2.1 串联补偿装置的发展概况 ...................................................................................................7
2.2 串联补偿电容装置的基本原理和作用 ...............................................................................8
2.2.1 串联补偿电容装置的基本接线........................................................................................8
2.2.2 降低电压降落....................................................................................................................9
2.2.3 提高输送功率..................................................................................................................10
2.2.4 提高系统稳定性..............................................................................................................10
2.2.5 显著的经济效益..............................................................................................................11
2.3 串联补偿装置的过电压保护 .............................................................................................11
2.4 串联补偿装置的规模 .........................................................................................................12
2.4.1 补偿度的选择..................................................................................................................12
2.4.2 补偿装置额定电流的确定原则......................................................................................12
2.4.3 补偿地点的确定..............................................................................................................12
2.5 本章小结 .............................................................................................................................12
3 串联补偿输电线路故障定位算法 ........................................................................................13
3.1 相模变换 .............................................................................................................................13
3.1.1 相模变换的基本原理......................................................................................................13
3.1.2 卡伦堡变换的数学表达..................................................................................................14
3.2 故障定位算法 .....................................................................................................................15
3.2.1 假设故障点发生在 点..................................................................................................16
3.2.2 假设故障点发生在 点 .................................................................................................17
3.2.3 真伪根的判别..................................................................................................................18
3.3 输电线路故障的判相 .........................................................................................................19
3.4 本章小结 .............................................................................................................................19
4 基于神经网络的串联补偿输电线路故障分析与研究 ........................................................21
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