WO2014173132A1 - Method for monitoring unbalanced current at stator side after inter-turn short circuit in hydro-generator rotor - Google Patents
Method for monitoring unbalanced current at stator side after inter-turn short circuit in hydro-generator rotor Download PDFInfo
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- WO2014173132A1 WO2014173132A1 PCT/CN2013/088470 CN2013088470W WO2014173132A1 WO 2014173132 A1 WO2014173132 A1 WO 2014173132A1 CN 2013088470 W CN2013088470 W CN 2013088470W WO 2014173132 A1 WO2014173132 A1 WO 2014173132A1
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R31/00—Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
- G01R31/34—Testing dynamo-electric machines
- G01R31/346—Testing of armature or field windings
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- the invention relates to a method for monitoring unbalanced current of a stator-side short-circuit stator of a hydro-generator rotor.
- the branch currents at the neutral point of the stator will generate unbalanced current dominated by fractional harmonics, and the complete split-phase cross-section protection and zero-sequence current type cross-section protection will not
- the equilibrium current is theoretically dominated by fractional harmonics and does not contain the fundamental component.
- the resulting fractional harmonics are mainly related to the pole pair P of the generator, and harmonics such as 1/P, 2/P... N/P (N is a natural number) appear.
- the effective value of the fault current is calculated and simulated. It can be seen from Fig. 2 that the method can accurately calculate the total effective value of the unbalanced current including the fundamental wave and the like (including the harmonics of each harmonic).
- the theoretical value of the total effective value of the balanced current is 20 mA, and the theoretical value of the fractional harmonic unbalanced current RMS is 15.81 mA), but the fundamental wave, the third harmonic, the fifth harmonic, etc. in the unbalanced current cannot be filtered out. It has a serious impact on the sensitivity of monitoring the fault of the generator rotor winding turn-to-turn short circuit.
- the object of the present invention is to provide a method for detecting unbalanced current of a stator-side short-circuit of a hydro-generator rotor, which is used to solve the problem that the fundamental wave, the third harmonic and the fifth harmonic in the unbalanced current cannot be filtered by the prior art. This has the problem of affecting the sensitivity of fault monitoring.
- the solution of the present invention is: A method for detecting unbalanced current of a stator-side short-circuit stator of a hydro-generator rotor, the steps are as follows:
- step (2) calculates a total effective value of the unbalanced current including each harmonic by using a root mean square value method
- / ⁇ is the unbalanced current discrete sample value, which is the unbalanced current instantaneous value ⁇ M Using the Fourier algorithm based on the basic data window to calculate each N.real n.imag where ⁇ is a natural number and is the real part of the ⁇ / ⁇ harmonic
- the effective value is the total effective value of the unbalanced current of each harmonic including the fundamental wave discretized
- the invention achieves the beneficial effects:
- the invention adopts the ultra-long data window technology, automatically adjusts the data window length according to the number of generator pole pairs, realizes the accurate calculation of the RMS values of the fractional harmonics and the fault circulation of different units, and effectively filters out
- the fundamental wave, the third harmonic and the fifth harmonic of the unbalanced current in normal operation accurately measure the unbalanced current mainly composed of fractional harmonics, which greatly improves the sensitivity of the monitoring of the inter-turn short-circuit fault of the rotor winding of the generator. .
- Fig. 1 is a simulation diagram of the calculation of the effective value of the fault circulation with the power frequency as the basic data window
- Fig. 2 is a simulation diagram of the calculation of the effective value of the fault circulation with the NXP as the basic data window
- Fig. 3 is effective for the fault circulation by the method of the invention The value is calculated by simulation.
- the invention adopts a novel method for monitoring the unbalanced current mainly composed of fractional harmonics, and can completely filter out the fundamental wave, the third harmonic and the fifth harmonic in the unbalanced current, and accurately measure the fractional harmonics.
- the main unbalanced current, the specific steps are as follows:
- / ⁇ - H '
- RMS fractional harmonic unbalanced current
- rms current of the unbalanced current of the fundamental wave, the third harmonic, and the fifth harmonic in normal operation contains the fractional harmonic unbalanced current RMS of the fault information. It also contains the rms current of the unbalanced current of the fundamental wave, the third harmonic, and the fifth harmonic in normal operation.
- k is a natural number and the value of k is determined based on the simulation of the stator windings of the generator.
- n/P harmonic unbalance current RMS value when n takes different values, calculate 1/P, 2/P... n/P (n is a natural number) subharmonic imbalance. Current RMS, calculate P/P (fundamental), 3P/P (third harmonic), 5P/P (five times)
- the generator rotor interturn short-circuit fault is monitored based on the fractional harmonic unbalance current total rms value and the fractional harmonic unbalance current rms value.
- FIG. 3 is a simulation diagram obtained by calculating the effective value of the fault circulation by using the method of the present invention, and the theoretical value of the total rms value of the unbalanced current including each harmonic is 20 mA, and the total effective value of the fractional harmonic unbalance current The theoretical value is 15.81 mA.
- the method of the present invention can filter out the fundamental wave, the third harmonic and the fifth harmonic in the unbalanced current.
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Abstract
A method for monitoring an unbalanced current at a stator side after inter-turn short circuit in a hydro-generator rotor. The method adopts a super-long data window technology, and automatically adjusts the length of a data window according to the number of pole-pairs of a generator, thereby achieving an accurate calculation of fractional harmonic of different units. In this method, an effective value of a fault circulating current is calculated accurately, and fundamental waves, third harmonic waves, and fifth harmonic waves in the unbalanced current during normal operation are filtered out effectively, thereby improving the sensitivity of monitoring the inter-turn short circuit fault in generator rotor windings.
Description
水轮发电机转子匝间短路定子侧不平衡电流监测方法 技术领域 Hydrogenerator rotor inter-turn short-circuit stator side unbalance current monitoring method
本发明涉及一种水轮发电机转子匝间短路定子侧不平衡电流监 测方法。 The invention relates to a method for monitoring unbalanced current of a stator-side short-circuit stator of a hydro-generator rotor.
背景技术 Background technique
国内高校的学者对发电机转子绕组匝间短路故障做出许多理论 上的研究, 但目前在电机转子绕组匝间短路故障方面, 仅仅在离线检 测方面有相关的标准可以借鉴,在在线监测方面还未有一个清晰的技 术规范形成。发电机转子绕组匝间短路故障的在线监测、早期预防和 诊断是十分必要的,但是发电机转子匝间短路故障监测装置目前国内 外均没有成熟可靠相关产品,大部分发电厂都认为发电机转子匝间短 路故障监测装置由于信号采集难度较大,做成实用性产品的可能性不 大。 水轮发电机转子绕组发生匝间短路故障后,定子中性点各分支电 流会产生以分数次谐波为主的不平衡电流,完全裂相横差保护和零序 电流型横差保护的不平衡电流理论上主要以分数次谐波为主,不含基 波分量。 产生的分数次谐波主要跟发电机的极对数 P 有关, 会出现 1/P、 2/P…… N/P (N为自然数) 等次数的谐波。 准确地检测以分数次谐波为主的不平衡电流,是实现发电机转子 绕组匝间短路故障在线监测的必要保证。以每工频周波 N=32点采样、 发电机极对数 P=30为例,模拟被测电流中包含的部分分数次谐波有:
5Hz、 10Hz、 20Hz、 30Hz、 40Hz,整数次谐波有: 50Hz、 150Hz、 250Hz , 各谐波电流峰值均为 10mA, 图 1是采用工频为基本数据窗对含有上 述谐波的故障电流有效值进行计算并仿真, 可以看出, 常规的微机保 护采样数据窗长度无法精确计算以分数次谐波为主的不平衡电流。 Many scholars in domestic universities have made many theoretical studies on the inter-turn short-circuit fault of generator rotor windings. However, in terms of the inter-turn short-circuit fault of the rotor winding of the motor, there are relevant standards for offline detection only, and in terms of online monitoring. There is no clear technical specification. On-line monitoring, early prevention and diagnosis of generator rotor winding turn-to-turn short-circuit faults are necessary, but generator rotor inter-turn short-circuit fault monitoring devices are currently not mature and reliable related products at home and abroad, most power plants consider generator rotors Due to the difficulty in signal acquisition, the short-circuit fault monitoring device is unlikely to be a practical product. After the inter-turn short-circuit fault occurs in the rotor winding of the hydro-generator, the branch currents at the neutral point of the stator will generate unbalanced current dominated by fractional harmonics, and the complete split-phase cross-section protection and zero-sequence current type cross-section protection will not The equilibrium current is theoretically dominated by fractional harmonics and does not contain the fundamental component. The resulting fractional harmonics are mainly related to the pole pair P of the generator, and harmonics such as 1/P, 2/P... N/P (N is a natural number) appear. Accurately detecting the unbalanced current dominated by fractional harmonics is a necessary guarantee for on-line monitoring of the inter-turn short-circuit fault of the generator rotor winding. Taking the sampling of N=32 points per power frequency cycle and the pole pair P=30 of the generator as an example, the partial fractional harmonics included in the simulated measured current are: 5Hz, 10Hz, 20Hz, 30Hz, 40Hz, integer harmonics are: 50Hz, 150Hz, 250Hz, each harmonic current peak is 10mA, Figure 1 is the use of power frequency as the basic data window for the fault current containing the above harmonics The value is calculated and simulated. It can be seen that the conventional microcomputer protection sampling data window length cannot accurately calculate the unbalanced current mainly composed of fractional harmonics.
为了更为精确地计算以分数次谐波为主的不平衡电流有效值,图 2采用 N X P为基本数据窗长度, 同样以每工频周波 N=32点采样、 发 电机极对数 P=30为例, 对故障电流有效值进行计算并仿真, 从图 2 可以看出,该方法可以准确地计算出包含基波等各次谐波不平衡电流 的总有效值 (包含各次谐波的不平衡电流总有效值理论值为 20 mA, 分数次谐波不平衡流有效值理论值为 15. 81 mA), 但是无法滤除不平 衡电流中的基波、 三次谐波、 五次谐波等, 对实现发电机转子绕组匝 间短路故障监测的灵敏度造成严重的影响。 In order to calculate the RMS effective value of the fractional harmonics more accurately, Figure 2 uses NXP as the basic data window length, and also N=32 points per power frequency cycle, and the generator pole pairs P=30. For example, the effective value of the fault current is calculated and simulated. It can be seen from Fig. 2 that the method can accurately calculate the total effective value of the unbalanced current including the fundamental wave and the like (including the harmonics of each harmonic). The theoretical value of the total effective value of the balanced current is 20 mA, and the theoretical value of the fractional harmonic unbalanced current RMS is 15.81 mA), but the fundamental wave, the third harmonic, the fifth harmonic, etc. in the unbalanced current cannot be filtered out. It has a serious impact on the sensitivity of monitoring the fault of the generator rotor winding turn-to-turn short circuit.
发明内容 Summary of the invention
本发明的目的是提供一种水轮发电机转子匝间短路定子侧不平 衡电流检测方法, 用以解决现有技术无法滤除不平衡电流中的基波、 三次谐波和五次谐波, 从而对故障监测的灵敏度造成影响的问题。 The object of the present invention is to provide a method for detecting unbalanced current of a stator-side short-circuit of a hydro-generator rotor, which is used to solve the problem that the fundamental wave, the third harmonic and the fifth harmonic in the unbalanced current cannot be filtered by the prior art. This has the problem of affecting the sensitivity of fault monitoring.
为实现上述目的, 本发明的方案是: 一种水轮发电机转子匝间短 路定子侧不平衡电流检测方法, 步骤如下: In order to achieve the above object, the solution of the present invention is: A method for detecting unbalanced current of a stator-side short-circuit stator of a hydro-generator rotor, the steps are as follows:
(1) 根据发电机极对数, 按公式 τ = ^ 1- ^ = 确定基本数据窗 (1) According to the generator pole pairs, determine the basic data window according to the formula τ = ^ 1 - ^ =
( 1 50 ( 1 50
X 50 X 50
P J P J
长度, 并按公式 M=N X P确定基本数据窗采样点数, 其中, T为数据 窗长度, P为极对数, M为基本数据窗采样点数, N为每周波采样点 数;
(2)根据所述数据窗长度 T, 计算包含基波、 各整数次谐波和各 分数次谐波的不平衡电流总有效值; Length, and determine the number of sampling points of the basic data window according to the formula M=NXP, where T is the length of the data window, P is the pole logarithm, M is the number of sampling points of the basic data window, and N is the number of sampling points of the weekly wave; (2) calculating, according to the data window length T, a total effective value of the unbalanced current including the fundamental wave, each integer harmonic, and each fractional harmonic;
(3) 按照基本数据窗采样点数 Μ进行模拟量采样和数据保存,并 根据采样数据对不平衡电流总有效值进行离散化处理,计算各分数次 谐波和基波、 三次谐波、 五次谐波的不平衡电流有效值; (3) Perform analog sampling and data storage according to the number of sampling points in the basic data window, and discretize the total effective value of the unbalanced current according to the sampling data, calculate each fractional harmonic and fundamental wave, third harmonic, five times Harmonic unbalanced current RMS;
(4) 将离散化的不平衡电流总有效值减去基波、三次谐波和五次 谐波不平衡电流有效值, 得出分数次谐波不平衡电流总有效值; (4) Subtracting the rms value of the fundamental wave, the third harmonic and the fifth harmonic unbalance current from the total rms value of the discrete unbalanced current, and obtaining the total effective value of the fractional harmonic unbalance current;
(5) 根据计算出的分数次谐波不平衡电流总有效值、各分数次谐 波不平衡电流有效值对水轮发电机转子匝间短路故障进行监测。 (5) According to the calculated total harmonic value of the fractional harmonic unbalance current and the effective value of each fractional harmonic unbalance current, the inter-turn short-circuit fault of the hydro-generator rotor is monitored.
进一步地, 步骤 (2 ) 采用均方根值法计算包含各次谐波的不平 衡电流总有效值, Further, step (2) calculates a total effective value of the unbalanced current including each harmonic by using a root mean square value method,
其中, /λ为不平衡电流离散采样值, 为不平衡电流瞬时值 <丄 M
中采用基于基本数据窗的傅氏算法计算各
n.real n.imag 其中 η为自然数, 为 η/Ρ次谐波的实部,
Where / λ is the unbalanced current discrete sample value, which is the unbalanced current instantaneous value <丄M Using the Fourier algorithm based on the basic data window to calculate each N.real n.imag where η is a natural number and is the real part of the η/Ρ harmonic
效值, 为离散化的包含基波等各次谐波不平衡电流的总有效值,
本发明达到的有益效果: 本发明采用超长数据窗技术, 根据发电 机极对数, 自动调整数据窗长度, 实现不同机组各分数次谐波及故障 环流有效值的准确计算, 且有效滤除正常运行中不平衡电流的基波、 三次谐波、五次谐波,准确地测量出以分数次谐波为主的不平衡电流, 极大地提高了发电机转子绕组匝间短路故障监测的灵敏度。 The effective value is the total effective value of the unbalanced current of each harmonic including the fundamental wave discretized, The invention achieves the beneficial effects: The invention adopts the ultra-long data window technology, automatically adjusts the data window length according to the number of generator pole pairs, realizes the accurate calculation of the RMS values of the fractional harmonics and the fault circulation of different units, and effectively filters out The fundamental wave, the third harmonic and the fifth harmonic of the unbalanced current in normal operation accurately measure the unbalanced current mainly composed of fractional harmonics, which greatly improves the sensitivity of the monitoring of the inter-turn short-circuit fault of the rotor winding of the generator. .
附图说明 DRAWINGS
图 1是以工频为基本数据窗的故障环流有效值计算仿真图; 图 2是以 N X P为基本数据窗的故障环流有效值计算仿真图; 图 3是采用本发明的方法对故障环流的有效值计算仿真图。 Fig. 1 is a simulation diagram of the calculation of the effective value of the fault circulation with the power frequency as the basic data window; Fig. 2 is a simulation diagram of the calculation of the effective value of the fault circulation with the NXP as the basic data window; Fig. 3 is effective for the fault circulation by the method of the invention The value is calculated by simulation.
具体实施方式 detailed description
下面结合附图对本发明做进一步详细的说明。 The present invention will be further described in detail below with reference to the accompanying drawings.
本发明采用全新的监测以分数次谐波为主的不平衡电流的方法, 能够完全滤除不平衡电流中的基波、 三次谐波、 五次谐波, 准确地测 量出以分数次谐波为主的不平衡电流, 具体步骤如下: The invention adopts a novel method for monitoring the unbalanced current mainly composed of fractional harmonics, and can completely filter out the fundamental wave, the third harmonic and the fifth harmonic in the unbalanced current, and accurately measure the fractional harmonics. The main unbalanced current, the specific steps are as follows:
首先, 根据发电机极对数 P确定数据窗长度, 即: First, determine the data window length based on the generator pole pair P, ie:
1 p 1 p
T = 7 τ =— = 0.02尸 T = 7 τ =- = 0.02 corpse
1 x 50 50 1 x 50 50
ρ ) 而且,系统根据设定的发电机极对数 Ρ的定值和系统本身的采样频率, 确定基本数据窗采样点数 Μ=Ν Χ Ρ,其中, Ν为每工频周期的采样点数, Ρ为发电机极对数, Μ为基本数据窗采样点数, Τ为基本数据窗长度。 ρ ) Moreover, the system determines the number of sampling points of the basic data window Μ=Ν Χ 根据 according to the set value of the generator pole pair Ρ and the sampling frequency of the system itself, where Ν is the number of sampling points per power frequency cycle, Ρ For the generator pole logarithm, Μ is the basic data window sampling points, Τ is the basic data window length.
其次,按照基本数据窗采样点数 Μ来进行模拟量采样和数据保存,
使用均方根值法计算不平衡电流总有效值:Secondly, analog sampling and data saving are performed according to the number of sampling points in the basic data window. Calculate the total rms value of the unbalanced current using the rms value method:
用采样数据, 对计算出的不平衡电流总有效值进行离散化, 即 Using the sampled data, discretize the calculated total rms current of the unbalanced current, ie
/ , = - H ' 其中, ,为不平衡电流瞬时值, /λ为不平衡电流离散 采样值,此时计算出来的不平衡电流总有效值包含故障信息的分数次 谐波不平衡电流有效值, 也包含正常运行时的基波、 三次谐波、 五次 谐波的不平衡电流有效值。 / , = - H ' where , is the instantaneous value of the unbalanced current, / λ is the discrete sample of the unbalanced current. The total rms value of the unbalanced current calculated at this time contains the fractional harmonic unbalanced current RMS of the fault information. It also contains the rms current of the unbalanced current of the fundamental wave, the third harmonic, and the fifth harmonic in normal operation.
第三,根据发电机极对数对应的基本数据窗采样点数 M计算一系 列对应于 k的傅氏算法的系数, 即: for( k = 0; k 〈 M; k ++) Third, a series of coefficients of the Fourier algorithm corresponding to k are calculated according to the number of sampling points of the basic data window corresponding to the generator pole pairs, namely: for( k = 0; k 〈 M; k ++)
coefl[k] = (2.0/M) * cos (n * k *2^/M); coefl[k+M]= (2.0/M) * sin(n * k *2^/M); Coefl[k] = (2.0/M) * cos (n * k *2^/M); coefl[k+M]= (2.0/M) * sin(n * k *2^/M);
并 and
} 其中, k为自然数, k的取值是根据发电机定子绕组的接线进行仿真 试验后确定的。 } where k is a natural number and the value of k is determined based on the simulation of the stator windings of the generator.
第四,利用傅氏算法依次计算出模拟量所需要的分数次谐波不平 衡电流的实部和虚部值, Fourth, the real and imaginary values of the fractional harmonic unbalance current required for the analog quantity are sequentially calculated by the Fourier algorithm.
2 ^ 2π 2 ^ 2π
— 2^[½ -cos(/i · :·—)] — 2^[1⁄2 -cos(/i · :·—)]
M Τ"ΐ Μ M Τ"ΐ Μ
2 ^ 2π 2 ^ 2π
— 2^bk -^(n-k-—)] — 2^b k -^(nk--)]
M M
其中 为 n/P次谐波不平衡电流的实部, /„., 为 n/P次谐 波不平衡电流的虚部, n为自然数。 MM Where is the real part of the n/P harmonic unbalanced current, /„., is the imaginary part of the n/P harmonic unbalanced current, and n is a natural number.
按照 n/P次谐波不平衡电流有效值的计算方法,当 n取不同的值 时, 分别计算出 1/P、 2/P…… n/P (n为自然数) 次谐波的不平衡电 流有效值, 同时计算出 P/P (基波)、 3P/P (三次谐波)、 5P/P (五次 According to the calculation method of the n/P harmonic unbalance current RMS value, when n takes different values, calculate 1/P, 2/P... n/P (n is a natural number) subharmonic imbalance. Current RMS, calculate P/P (fundamental), 3P/P (third harmonic), 5P/P (five times)
故障环流 【 p 3 ρχ Fault circulation [ p 3 ρ χ
L /p /p L /p /p
其中, /««为分数次谐波不平衡电流总有效值, 为包含基波 等各次谐波不平衡电流的总有效值, 为基波, /3P/为三次谐波, Where /«« is the total effective value of the fractional harmonic unbalance current, which is the total effective value of the unbalanced current including the fundamental wave, etc., which is the fundamental wave, / 3P / is the third harmonic,
//P /P ι5Ρ //P 为五次谐波。 //P /P ι 5Ρ / / P is the fifth harmonic.
最后,根据分数次谐波不平衡电流总有效值和各分数次谐波不平 衡电流有效值对发电机转子匝间短路故障进行监测。 Finally, the generator rotor interturn short-circuit fault is monitored based on the fractional harmonic unbalance current total rms value and the fractional harmonic unbalance current rms value.
如图 3, 是采用本发明的方法对故障环流的有效值进行计算得到 的仿真图, 包含各次谐波的不平衡电流总有效值理论值为 20mA, 分 数次谐波不平衡电流总有效值理论值为 15. 81mA, 从图 3可以看出, 本发明的方法可以滤除不平衡电流中的基波、 三次谐波和五次谐波,
3 is a simulation diagram obtained by calculating the effective value of the fault circulation by using the method of the present invention, and the theoretical value of the total rms value of the unbalanced current including each harmonic is 20 mA, and the total effective value of the fractional harmonic unbalance current The theoretical value is 15.81 mA. As can be seen from FIG. 3, the method of the present invention can filter out the fundamental wave, the third harmonic and the fifth harmonic in the unbalanced current.
Claims
利 要 求 书 Interests
1. 水轮发电机转子匝间短路定子侧不平衡电流监测方法,其特征在于 骤如下: 1. The method for monitoring the unbalanced current of the stator side of the hydro-generator rotor inter-turn short circuit is characterized by the following steps:
( 1 ) 根据发电机极对数,按公式 (1) According to the generator pole pairs, according to the formula
并按公式M=N X P确定基本数据窗采样点数, 其中, Τ为数据窗长度, Ρ为极对 数, Μ为基本数据窗采样点数, Ν为每周波采样点数; And according to the formula M=N X P, the number of sampling points of the basic data window is determined, where Τ is the length of the data window, Ρ is the pole logarithm, Μ is the number of sampling points of the basic data window, and Ν is the number of sampling points of the weekly wave;
( 2) 根据所述数据窗长度 Τ, 计算包含基波、 各整数次谐波和各分数 次谐波的不平衡电流总有效值; (2) calculating a total effective value of the unbalanced current including the fundamental wave, each integer harmonic, and each fractional harmonic according to the data window length Τ;
( 3 ) 按照基本数据窗采样点数 Μ进行模拟量采样和数据保存, 并根据 采样数据对不平衡电流总有效值进行离散化处理, 计算各分数次谐波和基波、 三次谐波、 五次谐波的不平衡电流有效值; (3) Perform analog sampling and data storage according to the number of sampling points in the basic data window, and discretize the total effective value of the unbalanced current according to the sampling data, calculate each fractional harmonic and fundamental wave, third harmonic, five times Harmonic unbalanced current RMS;
(4) 将离散化的不平衡电流总有效值减去基波、三次谐波和五次谐波 不平衡电流有效值, 得出分数次谐波不平衡电流总有效值; (4) Subtracting the rms value of the unbalanced current of the fundamental wave, the third harmonic and the fifth harmonic by subtracting the total effective value of the unbalanced current from the discretization, and obtaining the total effective value of the fractional harmonic unbalance current;
( 5 ) 根据计算出的分数次谐波不平衡电流总有效值、各分数次谐波不 平衡电流有效值对水轮发电机转子匝间短路故障进行监测。 (5) According to the calculated total harmonic value of the fractional harmonic unbalance current and the effective value of each fractional harmonic unbalance current, the inter-turn short circuit fault of the hydro-generator rotor is monitored.
2. 根据权利要求 1所述的水轮发电机转子匝间短路定子侧不平衡电流 监测方法, 其特征在于, 歩骤 (2 ) 采用均方根值法计算包含各次谐波的不平 衡衡电电流流总总有有效效值值,, §§ΡΡ :: II -- ,, 其其中中,, 为为
不不平平衡衡电电流流离离散散采采样样值值,, iitt为为不不平平衡衡电电流流瞬瞬时时值值。。 2 . The method for monitoring unbalanced current of a stator-side short-circuit of a hydro-generator rotor according to claim 1 , wherein the step (2 ) calculates an imbalance balance including each harmonic by using a root mean square method. 3 . The current flow always has an effective value, §§ΡΡ :: II -- , , of which The unbalanced balance current flows away from the discrete sampled sample values, and ii tt is the instantaneous instantaneous value of the current flow without unevenness. .
33.. 根根据据权权利利要要求求 22所所述述的的水水轮轮发发电电机机转转子子匝匝间间短短路路定定子子侧侧不不平平衡衡电电流流监监 测测方方法法,, 其其特特征征在在于于,, 歩歩骤骤 ((33 )) 中中采采用用基基于于基基本本数数据据窗窗的的傅傅氏氏算算法法计计算算各各分分 数数次次谐谐波波和和基基波波、、 三三次次谐谐波波、、 五五次次谐谐波波的的不不平平衡衡电电流流有有效效值值,, §§卩卩::
33. Root according to the rights and interests of the requirements of the 22 water water turbine generator motor rotor rotor inter-turn short-circuit short circuit stator side side non-unbalanced balance current flow The monitoring and monitoring method method, its special characteristics lies in, in the 歩歩((33)), the Fourier algorithm is used based on the basic basic data window. Calculate the non-uniform equilibrium balance current flow of each sub-fractional harmonic wave sum and base-base wave, three-three-order harmonic harmonic wave, and five-five harmonic harmonic wave Effective value, §§卩卩::
.real + 1 .imag 其中, I^^ 'c .k^ I = -V[ik -sin(n-k-¾] n为自然数, ^^为 n/P次谐波的实部, In.iimg为 n/P次谐波的虚部。 .real + 1 .imag where I^^ 'c .k^ I = -V[i k -sin(nk-3⁄4] n is a natural number, ^^ is the real part of the n/P harmonic, I n . Iimg is the imaginary part of the n/P harmonic.
4.根据权利要求 3所述的水轮发电机转子匝间短路定子侧不平衡电流监 方法, 其特征在于, 计算分数次谐波不平衡电流总有效值的方法为: The unbalanced current monitoring method for a stator-side short-circuit of a hydro-generator rotor according to claim 3, wherein the method for calculating the total effective value of the fractional harmonic unbalance current is:
1故障环^ Γ ^ 1∑' 1% A3P/ A5P/ 其中, 分数次谐波不平衡电流总有效值, 为离散化的包含基波等各 次谐波不平衡电流的总有效值, 1 为基波, I P/为三次谐波, I ^为五次谐波
1 fault ring ^ Γ ^ 1∑' 1% A 3P / A 5P / where, the total rms value of the fractional harmonic unbalance current, is the total rms value of the unbalanced current including the fundamental wave and the like, which is discretized, 1 is the fundamental wave, I P / is the third harmonic, and I ^ is the fifth harmonic
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