WO2012130163A1 - Method for generator subsynchronous current calculation, subsynchronous over-current and divergence protection - Google Patents

Method for generator subsynchronous current calculation, subsynchronous over-current and divergence protection Download PDF

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WO2012130163A1
WO2012130163A1 PCT/CN2012/073327 CN2012073327W WO2012130163A1 WO 2012130163 A1 WO2012130163 A1 WO 2012130163A1 CN 2012073327 W CN2012073327 W CN 2012073327W WO 2012130163 A1 WO2012130163 A1 WO 2012130163A1
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current
protection
generator
negative sequence
subsynchronous
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PCT/CN2012/073327
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French (fr)
Chinese (zh)
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张琦雪
牛红海
柏传军
熊良根
王凯
陈俊
严伟
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南京南瑞继保电气有限公司
南京南瑞继保工程技术有限公司
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Publication of WO2012130163A1 publication Critical patent/WO2012130163A1/en

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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01RMEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
    • G01R31/00Arrangements for testing electric properties; Arrangements for locating electric faults; Arrangements for electrical testing characterised by what is being tested not provided for elsewhere
    • G01R31/34Testing dynamo-electric machines
    • G01R31/343Testing dynamo-electric machines in operation

Definitions

  • the present invention relates to the technical field of generator protection in a power system, and more particularly to subsynchronous oscillation of a turbo generator, and to a secondary synchronous current detection, an overcurrent protection, a divergence protection method, and a corresponding Relay protection device or monitoring device. Background technique
  • asynchronous self-excitation When the parameters are not properly matched, the asynchronous self-excitation phenomenon (referred to as asynchronous self-excitation) may occur, and the armature current in the stator winding of the generator appears slightly lower than the synchronous frequency.
  • the frequency of the subsynchronous frequency of the frequency, the subsynchronous current will generate the pulse vibration torque, causing mechanical resonance and large-axis torsional vibration, which will cause the unit to generate heat and vibration, which will damage the equipment in severe cases.
  • the subsynchronous oscillation frequency is mostly between 10 Hz and 45 Hz.
  • China's Inner Mongolia Datang Tuoketuo Power Plant has an installed capacity of 8 X 600 MW, which is transported to the Wuyuan Substation via the four-line line of the Token source, and then sent to the Beijing-Tianjin-Tangshan Power Grid via the Yuan'an Double-circuit Line and the Yuanba Double-circuit Line. .
  • Eight sets of fixed capacitor series are installed on the line of the Wuyuan substation. After analysis, there is a risk of subsynchronous resonance.
  • a static blocking filter (SBF) is installed on the high voltage side of the generator main transformer, and shaft torsional vibration protection (TSR) is installed for the unit.
  • SBF is a circuit in which a group of inductors and capacitors are connected in series and in parallel.
  • the Tuoketuo power plant showed obvious asynchronous self-excitation, and the current was diverging, which made the generator set unable to operate normally.
  • SBF was officially put into operation, and asynchronous self-excitation was suppressed.
  • a secondary synchronous overcurrent protection device is required.
  • the three-phase current of the generator stator winding has both the power frequency (50 Hz) component and the secondary synchronization (10 Hz to 45 Hz) component, and sometimes multiple secondary synchronization components may occur.
  • the sub-synchronous component is called the modal component of the corresponding frequency.
  • the three-phase steady-state subsynchronous current flows through the generator armature winding.
  • the positive sequence and the negative sequence current generate a rotating magnetic field, which has relative motion with the rotor.
  • the eddy current of the slip frequency is generated in the rotor, which causes the rotor to generate heat and also causes vibration.
  • the object of the present invention is to provide a method for detecting a secondary synchronous current of a plurality of modes in a generator armature current, and a method for implementing overcurrent protection and divergence protection of a secondary synchronous current.
  • the technical solution adopted by the invention is: detecting a plurality of sub-synchronous modal components in the armature current of the generator, converting into an equivalent power frequency negative sequence current, realizing a method of definite time, inverse time overcurrent protection and divergence protection.
  • the protection device or the monitoring device uses a fixed sampling frequency to sample the secondary side current of the generator current transformer CT to obtain a three-phase current, B ic;
  • the filter parameters are fixed in the fixed value of the protection device or the monitoring device, and no adjustment is needed.
  • a , B , and a high-order low-pass filter the result is: Among them, Hz is a low-pass filter, and the cutoff frequency is in the range of 43 ⁇ 48 ⁇ .
  • H m W is the mth bandpass filter.
  • the signals obtained after the above processing are all sinusoidal waves having a relatively good sine.
  • the zero-crossing algorithm can be used to calculate the frequency of the signals " m , A , ' m , B , " m , c , and the frequency of the three-phase synchronous modal current is averaged as the final modal frequency ⁇ .
  • Using the Fourier algorithm to calculate the amplitude sequence of the subsynchronous modal signals r m , A , r m , B , r m , c / m » and the corresponding phasor ⁇ ⁇ ) get: -jb mi (n))
  • / s is the sampling frequency of the protection device or monitoring device
  • / m is the subsynchronous modal frequency
  • is the data window length corresponding to / ⁇
  • / ⁇ ( «) is the amplitude sequence of the subsynchronous current
  • the correction factor is a function of the modal frequency, which is determined in advance by the amplitude-frequency characteristics of the filter.
  • Equation 5 The theoretical basis of this conversion is: a three-phase steady-state subsynchronous current flows through the generator armature winding, and its positive sequence and negative sequence current generate a rotating magnetic field, which has a relative motion with the rotor, and a vortex that generates a slip frequency in the rotor, which generates electricity.
  • the principle that the machine frequency negative sequence current produces 2 times frequency eddy current on the rotor is similar; if the generator is regarded as an ideal model, for the solid rotor of the turbo generator, the eddy current of a certain frequency, its loss and The frequency is proportional to the power of 1.5 and is proportional to the square of the magnitude of the magnetic field, approximately proportional to the square of the effective value of the armature current sequence component that produces the magnetic field. To this end, the subsynchronous current can be converted to an equivalent power frequency negative sequence current.
  • k 1 and k m , 2 are correction coefficients
  • is the measured power frequency.
  • the rotor structure is very complicated, the rotor is slotted, and there are ventilation holes and crescent grooves, which will affect the path of the magnetic field and the eddy current; the wedge of the aluminum material or the magnetic material and the rotor end retaining ring It forms a damper circuit, and the damper circuit has eddy currents, which have more complicated effects on the magnetic field.
  • the eddy current of the rotor also weakens the magnetic field. Magnetic field saturation will increase the equivalent air gap in the magnetic circuit and weaken the magnetic field. Therefore, the correction coefficient k m , ⁇ B k m , 2 is retained in Equation 5, and the value range is 0.8 to 1.0, which is 0.9 depending on experience.
  • the electromagnetic field finite element calculation method is used to accurately calculate the loss generated by the secondary synchronous armature current on the rotor, thereby determining the accurate k 1 and
  • a - Inverse time criterion And, 2 >; 3 ⁇ 4t and > Equation 7 where K rel is the reliability coefficient, the value range is 1.0 ⁇ 1.2; the return coefficient is the range of 0.8 ⁇ 1.0; t set is the definite time protection delay When the value ranges from 0 to 20 s, 1 uncomfortable ⁇ is the inverse action limit minimum action delay, and the value ranges from 0 to 20 s;
  • the constant for the generator to withstand the power frequency negative sequence current capability is provided by the OEM, and the value range is 1 ⁇ 100; 2 is the equivalent power frequency negative sequence current calculated by the formula 5; 1 2 ⁇ is the generator long-term allowable negative
  • the sequence current value, I srt is the definite time limit current setting, 1 victim is the rated current value of the generator, and I pk is the anti-time limit protection current starting value.
  • Equation 9 C set Equation 9 where T is the data comparison interval constant and C srt is the divergence count setting.
  • Equation 8 is discriminated. If Equation 8 is satisfied, the corresponding counter ⁇ is incremented by one; if the protection is not activated or Equation 8 is not satisfied, the counter ⁇ is decremented by 1 until it is reduced to When 0 is satisfied, it is judged that there is continuous divergence.
  • the protection device alarms or trips.
  • the corresponding time is the time corresponding to sampling 120 points, which is 0.1s.
  • the corresponding time is the time corresponding to sampling 1800 points, which is 1.5 s.
  • the aforementioned timing and inverse time protection are only for the relatively stable asynchronous self-excitation phenomenon. Actually, the secondary synchronous current may gradually increase.
  • the divergence protection is a functional supplement.
  • the invention has the beneficial effects that: the high-order low-pass filtering and the band-pass filtering can separate the instantaneous values of the plurality of modal currents; the Fourier algorithm can accurately calculate the amplitude and phasor of each modal signal, and Calculate the positive sequence and negative sequence components for the three-phase currents of each mode; use the principle of generating the eddy current phase on the rotor with the power frequency negative sequence current, and convert the positive and negative sequence components of each modal current into conversion.
  • the equivalent power frequency negative sequence current can be borrowed from the original power frequency negative sequence current protection to realize the time limit and inverse time limit over current protection.
  • the protection criterion can be unchanged and the fixed value can be unchanged.
  • Figure 1 is a general flow chart of the calculation process of the present invention
  • FIG. 3 is a graph showing amplitude-frequency characteristics of two 8-stage Chebyshev II band-pass filters designed by the present invention
  • Figure 5 is a logic diagram of the divergence protection of the present invention.
  • Equation 7 The "delay" logic element associated with the current value in Equation 7.
  • the time t is determined by Equation 7, which is a function of the current I eq , 2 .
  • Equation 8 current criterion logic element. Output 1 when the condition is satisfied, otherwise 0.
  • the present invention devises a method for detecting sub-synchronous currents of a plurality of modes in a generator armature current and implementing overcurrent protection and divergence protection of subsynchronous currents.
  • the specific implementation of the method is described below in combination with the specific situation of a 600MW turbine generator in a power plant.
  • the generator set is equipped with a static blocking filter SBF on the high voltage side of the main transformer.
  • SBF is a circuit in which a series of inductors and capacitors are connected in series and in parallel. Field tests show that after SBF is put into operation, the generator has an asynchronous self-excitation phenomenon.
  • the three-phase current of the generator contains these two subsynchronous modal components at frequencies around 27.0 Hz and 39.0 Hz. After adjusting the parameters of SBF, the asynchronous self A certain degree of inhibition is obtained.
  • a torsional vibration protection device TSR and a secondary synchronous overcurrent (asynchronous self-excitation) protection device are installed.
  • the secondary synchronous currents of the two modal frequencies of 27.0 Hz and 39.0 Hz appear as an example. According to the calculation process shown in Figure 1, the specific steps are as follows:
  • the protection device or the monitoring device samples at a fixed sampling frequency (for example, 1200 Hz), and obtains the secondary side current of the current transformer of the generator terminal, that is, obtains the three-phase current signals A , B , k:.
  • a fixed sampling frequency for example, 1200 Hz
  • the designed filter parameters are fixed as fixed values and stored in the protection device or monitoring device.
  • the transfer function of the low-pass filter H (s) is:
  • the parameters in the filter are: b0 ⁇ b8 (in scientific notation): 0.01, -1.1910e-14, 3.1583e4, 4.3568e-9 1.5585el0, 2.9148e-3, 2.4612el5, 2.9683e2 , 1.2145e20.
  • the results of a0 ⁇ a8 are: 1.0, 1.5282e3, 1.1680e6, 5.8185e8, 2.0770ell, 5.4613el3, 1.0651el6, 1.4105el8, 1.2145e20.
  • the parameters of the low-pass filter are independent of the modal frequency and are fixed values.
  • the amplitude-frequency characteristics of the filter are shown in Figure 2.
  • the type of filter is not limited to the Chebyshev II type.
  • the first filtered values ' A , i' B , i' c are calculated according to Equation 1.
  • the center frequency of the pass filter is 27.0 Hz and 39.0 Hz, respectively.
  • the specific filter parameters are as follows: Hs.iW parameters:
  • the results of b0 ⁇ b8 (represented by scientific notation) are: 0.01, -1.4043e-016, 2.0466e3, -3.4929e-011, 1.0471e8, -3.3800e-006, 1.3394el2, - 1.4832e-002, 4.2829el5.
  • the results of a0 ⁇ a8 (represented by scientific notation) are: 1.0, 152.84, 1.1402e5, 1.2258e7, 4.5378e9, 3.1359el l, 7.4618el3, 2.5588el5, 4.2829el7.
  • H 2 The parameters of H 2 (the results of b0 ⁇ b8 (represented by scientific notation) are: 0.01, 1.1199e-015, 3.2972e3, 2.5408e-010, 3.2334e8, 6.3763e-006, 1.0656el3, -0.10984, 1.0445el7.
  • the results of a0 ⁇ a8 (represented by scientific notation) are: 1.0, 152.84, 2.3909e5, 2.6595e7, 2.0733el0 1.5119el2, 7.7268el4, 2.8080el6, 1.0445el9.
  • the type of filter is not limited to the Chebyshev II type.
  • the amplitude-frequency characteristics of the filter are shown in Figure 3.
  • Zero-crossing method frequency measurement Measure the length of time corresponding to the zero-crossing point of the sinusoidal waveform from negative to positive (or negative-positive), and the reciprocal of time is the frequency, thus obtaining r m , A , r m , B , The frequency of r m , c , the three frequencies are averaged as the final modal frequency / m .
  • the frequency of the two-phase modal current is averaged; similarly, If the two-phase current signal of the three-phase current is too small, the frequency of the larger current of the remaining one is the frequency measurement result; if the three-phase current signal is small, the band-pass filter is taken.
  • the center frequencies (27.0 Hz and 39.0 Hz) are measured as modal frequencies.
  • Equation 4 calculate the positive sequence components I eq , u , I eq , 1 , and the negative sequence corresponding to the two modal three-phase currents
  • Equation 5 convert all positive and negative sequence components into equivalent power frequency negative sequence currents I eq , 2 .
  • the correction coefficients k m , ⁇ B k m , 2 in Equation 5 take 0.9.
  • Equation 7 Perform the divergence protection discrimination, substitute the conversion I eq , 2 into the criterion 8, and combine it with Equation 7.
  • the power system is disturbed (short circuit, open circuit, reclosing, load shedding, etc.), the amount of sub-synchronous frequency bands will appear in the current signal, but its attenuation is very fast, generally it can be attenuated within 0.2s ⁇ 0.5s.

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  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Protection Of Generators And Motors (AREA)
  • Control Of Eletrric Generators (AREA)

Abstract

A method for generator subsynchronous current calculation, subsynchronous over-current and divergence protection comprises: collecting a three-phrase current signal of a generator; converting the positive sequence and negative sequence components of the subsynchronous current of each mode into an equivalent industrial frequency negative sequence current, which is substituted into the original industrial frequency negative sequence over-current protection criterion of the generator, for judging definite time and inverse time protection; and at the same time judging whether the equivalent industrial frequency negative sequence over-current increases continuously, which constitutes the divergence protection criterion. The present invention can detect the multi-mode subsynchronous current in the armature current of the generator, and realize over-current protection and divergence protection of the subsynchronous current.

Description

发电机次同步电流计算和次同步过电流及发散保护方法  Generator secondary synchronous current calculation and secondary synchronous overcurrent and divergence protection method
技术领域 本发明涉及电力系统中发电机保护的技术领域,更具体地涉及汽轮发电机的次同步振 荡, 并涉及发电机电枢电流中次同步电流检测、 过电流保护、 发散保护方法和相应的继 电保护装置或监测装置。 背景技术 TECHNICAL FIELD The present invention relates to the technical field of generator protection in a power system, and more particularly to subsynchronous oscillation of a turbo generator, and to a secondary synchronous current detection, an overcurrent protection, a divergence protection method, and a corresponding Relay protection device or monitoring device. Background technique
一些大型火电厂远离负荷中心, 发电机组容量大, 多采用长距离输电, 并在输电线路 中配置串联电容补偿、 可控串联电容补偿等电力电子设备, 有时也采用直流输电方式。 这些机组经过电容补偿的线路或空载长距离线路, 当参数配合不当时, 可能发生异步自 励磁现象(简称异步自激),发电机定子绕组当中的电枢电流出现略低于同步频率(工频) 的次同步频率的电流, 次同步电流会产生脉振转矩, 引起机械谐振、 大轴扭振, 使机组 发热、 振动加剧, 严重时会损伤设备。 次同步振荡频率大多在 10Hz~45Hz之间。  Some large thermal power plants are far away from the load center, and the generator set has large capacity. Long-distance transmission is often used, and power electronic equipment such as series capacitor compensation and controllable series capacitor compensation are arranged in the transmission line, and sometimes DC transmission is adopted. These units pass through the capacitor-compensated line or the unloaded long-distance line. When the parameters are not properly matched, the asynchronous self-excitation phenomenon (referred to as asynchronous self-excitation) may occur, and the armature current in the stator winding of the generator appears slightly lower than the synchronous frequency. The frequency of the subsynchronous frequency of the frequency, the subsynchronous current will generate the pulse vibration torque, causing mechanical resonance and large-axis torsional vibration, which will cause the unit to generate heat and vibration, which will damage the equipment in severe cases. The subsynchronous oscillation frequency is mostly between 10 Hz and 45 Hz.
比如, 我国内蒙古大唐托克托电厂, 装机容量为 8 X 600MW, 经托源四回线输送至 浑源变电站, 再经源安双回线、 源霸双回线向京津唐电网送电。 在浑源变电站的线路上 安装了 8套固定电容串补。 经过分析, 存在次同步谐振风险, 为此在发电机主变压器的 高压侧装设了静态阻塞滤波器(SBF), 并为机组安装了轴系扭振保护(TSR)。 其中 SBF 是由一组电感、 电容相互串并联的电路。 2008年 4月, 托克托电厂在试验 SBF投入的过 程中, 发电机组出现了明显的异步自激, 且电流呈发散趋势, 使发电机组不能正常并网 运行。 之后调整了 SBF的设计参数, 2年后, SBF才正式投入运营, 异步自激得到抑制。 为防止出现类似的异步自激而损坏设备, 需装设次同步过电流保护装置。  For example, China's Inner Mongolia Datang Tuoketuo Power Plant has an installed capacity of 8 X 600 MW, which is transported to the Wuyuan Substation via the four-line line of the Token source, and then sent to the Beijing-Tianjin-Tangshan Power Grid via the Yuan'an Double-circuit Line and the Yuanba Double-circuit Line. . Eight sets of fixed capacitor series are installed on the line of the Wuyuan substation. After analysis, there is a risk of subsynchronous resonance. For this purpose, a static blocking filter (SBF) is installed on the high voltage side of the generator main transformer, and shaft torsional vibration protection (TSR) is installed for the unit. SBF is a circuit in which a group of inductors and capacitors are connected in series and in parallel. In April 2008, during the test of SBF input, the Tuoketuo power plant showed obvious asynchronous self-excitation, and the current was diverging, which made the generator set unable to operate normally. After adjusting the design parameters of SBF, 2 years later, SBF was officially put into operation, and asynchronous self-excitation was suppressed. To prevent damage to the device due to similar asynchronous self-excitation, a secondary synchronous overcurrent protection device is required.
当发电机出现异步自激振荡时, 发电机定子绕组的三相电流中既有工频 (50Hz) 分 量, 又包含次同步 (10Hz~45Hz) 分量, 有时可出现多个次同步分量, 每个次同步分量, 称为对应频率的模态分量。 发电机电枢绕组中流过三相稳态次同步电流, 其正序、 负序 电流产生旋转磁场, 与转子有相对运动, 在转子产生转差频率的涡流, 使转子发热, 还 会引起振动。  When the generator exhibits asynchronous self-oscillation, the three-phase current of the generator stator winding has both the power frequency (50 Hz) component and the secondary synchronization (10 Hz to 45 Hz) component, and sometimes multiple secondary synchronization components may occur. The sub-synchronous component is called the modal component of the corresponding frequency. The three-phase steady-state subsynchronous current flows through the generator armature winding. The positive sequence and the negative sequence current generate a rotating magnetic field, which has relative motion with the rotor. The eddy current of the slip frequency is generated in the rotor, which causes the rotor to generate heat and also causes vibration.
目前,专门针对次同步电流的过电流保护很少,通常只是通过一个滤波器提取出一个 模态的次同步电流, 然后将电流的幅值与一个预设的定值进行比较, 经过一个预设的延 时发出报警或跳闸信号。这种方法虽然简单, 但是存在明显缺点: (1) 只提取一个模态的 电流是不够的, 实际机组运行时有可能同时存在多个模态的次同步电流, 比如托克托电 厂的发电机异步自激时曾出现 27Hz、 39Hz附近的两个频率的次同步电流; (2) 保护定值 的整定是随意设定的, 缺乏理论依据; (3) 保护功能单一, 仅仅提供定时限过电流保护。 发明内容 本发明的目的是: 提出一种可以检测发电机电枢电流中多个模态的次同步电流的方 法, 并实现次同步电流的过电流保护及发散保护的方法。 本发明采取的技术方案是:检测发电机电枢电流中多个次同步模态分量,折算成等效 的工频负序电流后, 实现定时限、 反时限过电流保护以及发散保护的方法。 保护装置或监测装置用固定采样频率采集发电机的三相电流信号 AB k:, 经过低 通滤波和带通滤波, 分离出多组各模态次同步模态频率的信号 "m,A、 'm,B、 rm,C, 模态 m=l,2,...; 采用过零点算法得到次同步模态的频率 fm, 采用傅氏计算得到模态信号的幅 值序列 和对应的相量 Lu i); 求出各模态的三相电流对应的正序分量 imJ、 负序分 量 Im,2; 将各模态的正序、 负序分量折算成等效的工频负序电流 Ieq,2 ; 然后再进行定时 限、 反时限过电流保护以及发散保护的计算。 At present, there is very little overcurrent protection for the subsynchronous current. Usually, only one modal subsynchronous current is extracted by one filter, and then the amplitude of the current is compared with a preset value, and a preset is passed. The delay sends an alarm or trip signal. Although this method is simple, it has obvious disadvantages: (1) It is not enough to extract only one modal current. When the actual unit is running, there may be multiple modal secondary synchronous currents, such as Tocto When the generator of the plant is asynchronously self-excited, the secondary synchronous currents of two frequencies near 27Hz and 39Hz appear; (2) The setting of the protection setting is arbitrarily set, lacking theoretical basis; (3) The protection function is single, only provided Time-limited overcurrent protection. SUMMARY OF THE INVENTION The object of the present invention is to provide a method for detecting a secondary synchronous current of a plurality of modes in a generator armature current, and a method for implementing overcurrent protection and divergence protection of a secondary synchronous current. The technical solution adopted by the invention is: detecting a plurality of sub-synchronous modal components in the armature current of the generator, converting into an equivalent power frequency negative sequence current, realizing a method of definite time, inverse time overcurrent protection and divergence protection. The protection device or the monitoring device collects the three-phase current signals A and B k of the generator with a fixed sampling frequency: through low-pass filtering and band-pass filtering, separates multiple sets of signals of each modal subsynchronous modal frequency " m , A , ' m , B , r m , C , modal m=l, 2,... ; use the zero-crossing algorithm to obtain the frequency f m of the subsynchronous mode, and use Fourier's calculation to obtain the amplitude sequence of the modal signal and Corresponding phasor Lu i); Find the positive sequence component i mJ and negative sequence component Im, 2 corresponding to the three-phase current of each mode ; convert the positive sequence and negative sequence components of each mode into equivalent power frequency The negative sequence current I eq , 2 ; then the calculation of the definite time, inverse time over current protection and divergence protection.
(1) 电流信号采样。 保护装置或监测装置使用固定采样频率, 对发电机机端电流互 感器 CT二次侧电流进行采样, 得到三相电流 、 B ic; (1) Current signal sampling. The protection device or the monitoring device uses a fixed sampling frequency to sample the secondary side current of the generator current transformer CT to obtain a three-phase current, B ic;
(2)低通滤波, 滤波参数固定在保护装置或监测装置的定值中, 不需要调整。将 AB、 经过一个高阶的低通滤波, 结果为:
Figure imgf000004_0001
其中, Hz 为低通滤波器, 截止频率在 43Ηζ~48Ηζ范围内。
(2) Low-pass filtering, the filter parameters are fixed in the fixed value of the protection device or the monitoring device, and no adjustment is needed. After A , B , and a high-order low-pass filter, the result is:
Figure imgf000004_0001
Among them, Hz is a low-pass filter, and the cutoff frequency is in the range of 43Ηζ~48Ηζ.
(3)带通滤波, 滤波参数固定在保护装置或监测装置的定值中。 根据被保护的发电 机的需求, 确定需要 m组高阶带通滤波器, 一般 2~4个即可, 比如只关心两个模态频率 的次同步电流, 则只需设计 2个带通滤波器, 如覆盖 27Ηζ、 39Ηζ附近的两个频率的带 通滤波器。 将上述信号进一步滤波, 得到三相次同步模态电流: m = 1,2. 式(3) Bandpass filtering, the filtering parameters are fixed in the settings of the protection device or the monitoring device. According to the requirements of the protected generator, it is determined that m sets of high-order band-pass filters are required, generally 2~4, for example, only concerned with the secondary synchronous currents of the two modal frequencies, then only 2 band-pass filters need to be designed. For example, a bandpass filter covering two frequencies near 27Ηζ, 39Ηζ. The above signal is further filtered to obtain a three-phase secondary synchronous modal current: m = 1,2.
Figure imgf000005_0001
其中, H mW为第 m个带通滤波器。
Figure imgf000005_0001
Where H m W is the mth bandpass filter.
(4)过零点测频和傅氏滤波。 经过上述处理后得到的信号都是正弦度比较好的正弦 波。 可采用过零点算法计算出信号 "m,A、 'm,B、 "m,c的频率, 三相次同步模态电流的频 率取平均值作为最终的模态频率^。采用傅氏算法计算出次同步模态信号 rm,A、rm,B、rm,c 的幅值序列 /m»和对应的相量 α ί), 得到: -j-bmi(n)) (4) Zero-crossing frequency measurement and Fourier filtering. The signals obtained after the above processing are all sinusoidal waves having a relatively good sine. The zero-crossing algorithm can be used to calculate the frequency of the signals " m , A , ' m , B , " m , c , and the frequency of the three-phase synchronous modal current is averaged as the final modal frequency^. Using the Fourier algorithm to calculate the amplitude sequence of the subsynchronous modal signals r m , A , r m , B , r m , c / m » and the corresponding phasor α ί), get: -jb mi (n))
i = A,B,C,m = 1,2. 式 3
Figure imgf000005_0002
i = A, B, C, m = 1, 2. Equation 3
Figure imgf000005_0002
roundif fm) 其中, /s为保护装置或监测装置的采样频率, /m为次同步模态频率, ^为对应/ ^的 数据窗长度, /^(«)是次同步电流的幅值序列, 是对应的相量。 由于前面两次滤波 有可能造成信号衰减, 所以式 3中增加了增益校正系数 gm, 进行幅值校正。 校正系数是 模态频率的函数, 事先由滤波器的幅频特性确定。 Roundif f m ) where / s is the sampling frequency of the protection device or monitoring device, / m is the subsynchronous modal frequency, ^ is the data window length corresponding to / ^, /^(«) is the amplitude sequence of the subsynchronous current , is the corresponding phasor. Since the previous two filterings may cause signal attenuation, the gain correction coefficient gm is added in Equation 3 to perform amplitude correction. The correction factor is a function of the modal frequency, which is determined in advance by the amplitude-frequency characteristics of the filter.
(5)对各模态的三相电流, 求出它们的正序、 负序分量, 得: ( ) + a■ I ( ) + a2 -Im,c n) 3 (5) For the three-phase currents of each mode, find their positive and negative sequence components, and obtain: ( ) + a ■ I ( ) + a 2 -I m , cn) 3
n,A(n) + a2 - lm,B(n) + ■ lm,c 式n,A(n) + a 2 - lm,B(n) + ■ l m ,c
Figure imgf000005_0003
4 式 5
Figure imgf000006_0001
这样折算的理论基础是: 发电机电枢绕组中流过三相稳态次同步电流, 其正序、 负 序电流产生旋转磁场, 与转子有相对运动, 在转子产生转差频率的涡流, 这与发电机工 频负序电流在转子上产生 2倍频的涡流的原理是相似的; 若将发电机看成一个理想的模 型, 对于汽轮发电机的实心转子, 某一频率的涡流, 其损耗与频率的 1.5次方成正比, 与 磁场幅值的平方成正比, 近似与产生该磁场的电枢电流序分量的有效值的平方成正比。 为此, 可将次同步电流转化成等效的工频负序电流。 上述公式 5当中, k 1和 km,2是修正系数, Λ为实测的工频频率。 对于实际的汽轮发电机, 转子结构很复杂, 转子上开槽, 且有通风孔、 月牙槽, 都 会对磁场及涡流的路径产生影响; 铝材料或磁性材料的槽楔与转子端部护环构成阻尼回 路, 阻尼回路会有涡流, 对磁场的影响更复杂; 此外, 转子涡流还会对磁场产生削弱作 用。 磁场饱和将使磁路中的等效气隙增加, 削弱磁场。 因此, 公式 5当中保留了修正系 数 km,^B km,2, 取值范围是 0.8~1.0, 根据经验可取 0.9。 必要时, 采用电磁场有限元的计 算方法准确地定量计算次同步电枢电流在转子上产生的损耗, 由此确定准确的 k 1
Figure imgf000005_0003
4 Equation 5
Figure imgf000006_0001
The theoretical basis of this conversion is: a three-phase steady-state subsynchronous current flows through the generator armature winding, and its positive sequence and negative sequence current generate a rotating magnetic field, which has a relative motion with the rotor, and a vortex that generates a slip frequency in the rotor, which generates electricity. The principle that the machine frequency negative sequence current produces 2 times frequency eddy current on the rotor is similar; if the generator is regarded as an ideal model, for the solid rotor of the turbo generator, the eddy current of a certain frequency, its loss and The frequency is proportional to the power of 1.5 and is proportional to the square of the magnitude of the magnetic field, approximately proportional to the square of the effective value of the armature current sequence component that produces the magnetic field. To this end, the subsynchronous current can be converted to an equivalent power frequency negative sequence current. In the above formula 5, k 1 and k m , 2 are correction coefficients, and Λ is the measured power frequency. For the actual turbo generator, the rotor structure is very complicated, the rotor is slotted, and there are ventilation holes and crescent grooves, which will affect the path of the magnetic field and the eddy current; the wedge of the aluminum material or the magnetic material and the rotor end retaining ring It forms a damper circuit, and the damper circuit has eddy currents, which have more complicated effects on the magnetic field. In addition, the eddy current of the rotor also weakens the magnetic field. Magnetic field saturation will increase the equivalent air gap in the magnetic circuit and weaken the magnetic field. Therefore, the correction coefficient k m , ^B k m , 2 is retained in Equation 5, and the value range is 0.8 to 1.0, which is 0.9 depending on experience. When necessary, the electromagnetic field finite element calculation method is used to accurately calculate the loss generated by the secondary synchronous armature current on the rotor, thereby determining the accurate k 1 and
(7) 参照发电机工频负序过电流保护, 进行定时限和反时限保护判别, 判据为: (7) Refer to the generator power frequency negative sequence overcurrent protection, and determine the time limit and inverse time limit protection. The criterion is:
K K
定时限判据: > rel 式 6  Definite time criterion: > rel type 6
Κ,,  Oh,
A - 反时限判据: 且 ,2 > ;¾t且 > 式 7 其中, Krel为可靠系数, 取值范围 1.0~1.2; 为返回系数, 取值范围 0.8~1.0; tset为 定时限保护延时, 取值范围 0~20s, 1„^为反时限保护最小动作延时, 取值范围 0~20s; A 为发电机承受工频负序电流能力的常数, 由主机厂提供, 取值范围 1~100; ,2为采用式 5折算的等效工频负序电流; 12∞为发电机长期允许负序电流值, Isrt为定时限电流定值, 1„为发电机额定电流值, Ipk为反时限保护电流启动值, 这些电流值均为 CT二次值。 这 里完全借用原有的工频负序电流过负荷保护, 保护判据形式不变、 定值不变。 A - Inverse time criterion: And, 2 >; 3⁄4t and > Equation 7 where K rel is the reliability coefficient, the value range is 1.0~1.2; the return coefficient is the range of 0.8~1.0; t set is the definite time protection delay When the value ranges from 0 to 20 s, 1 „^ is the inverse action limit minimum action delay, and the value ranges from 0 to 20 s; The constant for the generator to withstand the power frequency negative sequence current capability is provided by the OEM, and the value range is 1~100; 2 is the equivalent power frequency negative sequence current calculated by the formula 5; 1 2∞ is the generator long-term allowable negative The sequence current value, I srt is the definite time limit current setting, 1 „ is the rated current value of the generator, and I pk is the anti-time limit protection current starting value. These current values are all CT secondary values. Here, the original power frequency is fully borrowed. Negative sequence current overload protection, the protection criterion form is unchanged, and the fixed value is unchanged.
( 8 ) 进行发散保护判别, 保护判据为: q ) > Ieq (n - T) 式 8 (8) Conducting divergence protection discrimination, the protection criterion is: q) > I eq (n - T) Equation 8
Cnt > Cset 式 9 其中, T为数据比较间隔定值, Csrt为发散计数定值。 当前述的定时限、 反时限保护启动时, 对式 8进行判别, 若式 8满足, 则对应的计 数器 Οί 加 1 ; 如果保护没有启动或式 8不满足, 则计数器 Οί 减 1, 直至减到 0为止; 当式 9满足时, 判为出现持续发散。 保护装置报警或跳闸。 一般的, 次同步发散的过程不会太快, 因此数据比较间隔定值 Τ的取值可按其对应 的时间在 0.02s~ls的范围内来确定, 比如采样频率为 1200Hz, T=120时, 对应的时间为 采样 120个点对应的时间, 是 0.1s。 当电力系统出现扰动 (短路、 断路、 重合闸、 甩负荷等) 时, 会使电流信号中出现 次同步频段的量, 但其衰减很快, 一般为在 0.2s~0.5s内可衰减完毕。 发散计数定值可按 躲过这个衰减时间来确定, 比如采样频率为 1200Hz, Cset = 1800时, 对应的时间为采样 1800个点对应的时间, 是 1.5s。 前述的定时限、 反时限保护只是针对较为稳定的异步自激现象, 实际有可能出现次 同步电流逐渐增大的情况, 发散保护是一个功能上的补充。 本发明的有益效果是:通过高阶的低通滤波和带通滤波,可以分离出多个模态电流的 瞬时值; 采用傅氏算法可以准确计算各个模态信号的幅值及相量, 并对各模态的三相电 流计算出正序、 负序分量; 采用与工频负序电流在转子上产生涡流相类比的原理, 将各 模态电流的正序、 负序分量进行折算, 折算成等效的工频负序电流, 可借用原有的工频 负序电流保护, 实现定时限、 反时限过电流保护, 保护判据形式可不变, 定值可不变; 最后, 通过判别等效电流的幅值是否持续增长, 实现发散保护; 本发明计算量较大, 必 要时可采用多 CPU并行计算, 但是保护设计有理论依据, 定时限、 反时限过流保护的判 据形式和定值整定与原有的工频负序过电流保护一样。 附图说明 Cnt > C set Equation 9 where T is the data comparison interval constant and C srt is the divergence count setting. When the aforementioned definite time limit and inverse time limit protection are activated, Equation 8 is discriminated. If Equation 8 is satisfied, the corresponding counter Οί is incremented by one; if the protection is not activated or Equation 8 is not satisfied, the counter Οί is decremented by 1 until it is reduced to When 0 is satisfied, it is judged that there is continuous divergence. The protection device alarms or trips. In general, the process of sub-synchronous divergence is not too fast, so the value of the data comparison interval constant Τ can be determined according to its corresponding time in the range of 0.02 s~ls, for example, the sampling frequency is 1200 Hz, T=120. The corresponding time is the time corresponding to sampling 120 points, which is 0.1s. When the power system is disturbed (short circuit, open circuit, reclosing, load shedding, etc.), the amount of sub-synchronous frequency bands will appear in the current signal, but its attenuation is very fast, generally it can be attenuated within 0.2s~0.5s. The divergence count setting can be determined by avoiding this decay time. For example, when the sampling frequency is 1200 Hz and C set = 1800, the corresponding time is the time corresponding to sampling 1800 points, which is 1.5 s. The aforementioned timing and inverse time protection are only for the relatively stable asynchronous self-excitation phenomenon. Actually, the secondary synchronous current may gradually increase. The divergence protection is a functional supplement. The invention has the beneficial effects that: the high-order low-pass filtering and the band-pass filtering can separate the instantaneous values of the plurality of modal currents; the Fourier algorithm can accurately calculate the amplitude and phasor of each modal signal, and Calculate the positive sequence and negative sequence components for the three-phase currents of each mode; use the principle of generating the eddy current phase on the rotor with the power frequency negative sequence current, and convert the positive and negative sequence components of each modal current into conversion. The equivalent power frequency negative sequence current can be borrowed from the original power frequency negative sequence current protection to realize the time limit and inverse time limit over current protection. The protection criterion can be unchanged and the fixed value can be unchanged. Finally, by discriminating the equivalent Whether the amplitude of the current continues to increase, achieving divergence protection; the invention has a large amount of calculation, Multiple CPU parallel calculations can be used when necessary, but the protection design has a theoretical basis. The criteria and timing settings of the definite time and inverse time overcurrent protection are the same as the original power frequency negative sequence overcurrent protection. DRAWINGS
图 1是本发明计算过程的总流程图,  Figure 1 is a general flow chart of the calculation process of the present invention,
图 2是本发明设计的一个 8阶 Chebyshev II型低通滤波器的幅频特性图,  2 is a graph showing the amplitude-frequency characteristics of an 8-stage Chebyshev II low-pass filter designed by the present invention,
图 3是本发明设计的 2个 8阶 Chebyshev II型带通滤波器的幅频特性图,  3 is a graph showing amplitude-frequency characteristics of two 8-stage Chebyshev II band-pass filters designed by the present invention,
图 4是本发明定时限、 反时限保护逻辑图,  4 is a logic diagram of the definite time and inverse time protection of the present invention,
图 5是本发明发散保护逻辑图。  Figure 5 is a logic diagram of the divergence protection of the present invention.
图 4中:  In Figure 4:
a. 式 6中的电流判据逻辑元件。 条件满足时输出 1, 否则输出 0。  a. Current criterion logic in Equation 6. Output 1 when the condition is satisfied, otherwise 0.
b. 式 6中的 "延时"逻辑元件。 当输入由 0变 1时, 经过延时 tset输出 1, 当输入为 0不变或由 1变为 0时, 输出为 0。 b. The "delay" logic element in Equation 6. When the input changes from 0 to 1, the output is 1 after the delay t set . When the input is 0 or 0 changes to 0, the output is 0.
c 定时限保护报警或跳闸结果输出。  c Definite time protection alarm or trip result output.
d. 式 7中的电流启动逻辑元件。 条件满足时输出 1, 否则输出 0。  d. The current in Logic 7 starts the logic element. Output 1 when the condition is satisfied, otherwise 0.
e. 式 7中的与电流值相关的 "延时 "逻辑元件。 时间 t由式 7确定, 是电流 Ieq,2的函 数。 当输入由 0变 1时, 计时器开始计时, 延时到达 t时, 逻辑输出 1 ; 当输入为 0 不变或由 1变为 0时, 计时器开始递减直到为 0, 此时逻辑输出 0。 e. The "delay" logic element associated with the current value in Equation 7. The time t is determined by Equation 7, which is a function of the current I eq , 2 . When the input changes from 0 to 1, the timer starts counting. When the delay reaches t, the logic outputs 1; when the input is 0 or changes from 1 to 0, the timer starts to decrement until it is 0, then the logic output is 0. .
f. 式 7中的最小时间 ^„的 "延时 "逻辑元件。 当输入由 0变 1时, 经过延时 ^„输 出 1, 当输入为 0不变或由 1变为 0时, 输出为 0。  f. The "delay" logic element of the minimum time in Equation 7. When the input changes from 0 to 1, the delay is output ^1, when the input is 0 or 0 changes to 0, the output is 0.
g. "与" 门操作逻辑。  g. "AND" gate operation logic.
h. 反时限保护报警或跳闸结果输出。 图 5中:  h. Inverse time protection alarm or trip result output. In Figure 5:
a. 式 6中的电流判据逻辑元件。 条件满足时输出 1, 否则输出 0。  a. Current criterion logic in Equation 6. Output 1 when the condition is satisfied, otherwise 0.
b. 式 7中的电流启动逻辑元件。 条件满足时输出 1, 否则输出 0。  b. The current-starting logic element in Equation 7. Output 1 when the condition is satisfied, otherwise 0.
c 式 8的电流判据逻辑元件。 条件满足时输出 1, 否则输出 0。  c Equation 8 current criterion logic element. Output 1 when the condition is satisfied, otherwise 0.
d. "或" 门逻辑操作。  d. "OR" gate logic operation.
e. "与" 门操作逻辑。  e. "AND" gate operation logic.
f. 发散计数。当输入为 1时,进行计数累加递增; 当输入为 0时,计数递减直到为 0; 输出为计数值 Cnt。 f. Divergence count. When the input is 1, the count is incremented; when the input is 0, the count is decremented until it is 0; The output is the count value Cnt.
g. 式 9的计数比较逻辑元件。 条件满足时输出 1, 否则输出 0。  g. The count comparison logic of Equation 9. Output 1 when the condition is satisfied, otherwise 0.
h. 发散保护报警或跳闸结果输出。  h. Diverging protection alarm or trip result output.
具体实施方式 本发明设计了一种可以检测发电机电枢电流中多个模态的次同步电流,并实现次同步 电流的过电流保护及发散保护的方法。 下面结合某电厂一台 600MW汽轮发电机的具体 情况, 说明该方法的具体实施方式。 该发电机组在主变压器高压侧安装了静态阻塞滤波器 SBF, SBF是一些电感和电容 相互串并联的电路。 现场试验表明, SBF投入后, 发电机曾出现异步自激现象, 发电机 三相电流中包含 27.0Hz和 39.0Hz附近频率的这两个次同步模态分量; 后调整 SBF的参 数后, 异步自激得到一定程度的抑制。 为防止异步自激振荡损坏发电机组, 安装了扭振 保护装置 TSR和次同步过电流 (异步自激) 保护装置。 为了便于说明具体的方法, 这里 假设出现了 27.0Hz和 39.0Hz这两个模态频率的次同步电流为例进行说明。 按图 1所示 的计算过程, 具体步骤如下: DETAILED DESCRIPTION OF THE INVENTION The present invention devises a method for detecting sub-synchronous currents of a plurality of modes in a generator armature current and implementing overcurrent protection and divergence protection of subsynchronous currents. The specific implementation of the method is described below in combination with the specific situation of a 600MW turbine generator in a power plant. The generator set is equipped with a static blocking filter SBF on the high voltage side of the main transformer. SBF is a circuit in which a series of inductors and capacitors are connected in series and in parallel. Field tests show that after SBF is put into operation, the generator has an asynchronous self-excitation phenomenon. The three-phase current of the generator contains these two subsynchronous modal components at frequencies around 27.0 Hz and 39.0 Hz. After adjusting the parameters of SBF, the asynchronous self A certain degree of inhibition is obtained. In order to prevent the asynchronous self-oscillation from damaging the generator set, a torsional vibration protection device TSR and a secondary synchronous overcurrent (asynchronous self-excitation) protection device are installed. In order to facilitate the description of the specific method, it is assumed here that the secondary synchronous currents of the two modal frequencies of 27.0 Hz and 39.0 Hz appear as an example. According to the calculation process shown in Figure 1, the specific steps are as follows:
( 1 )保护装置或监测装置以固定采样频率(比如是 1200Hz)进行采样, 得到发电机 机端电流互感器 CT二次侧电流, 即得到三相电流信号 AB、 k:。 (1) The protection device or the monitoring device samples at a fixed sampling frequency (for example, 1200 Hz), and obtains the secondary side current of the current transformer of the generator terminal, that is, obtains the three-phase current signals A , B , k:.
(2) 设计一个低通滤波器 Hz s), 其截止频率在 43Ηζ~48Ηζ范围内。 设计完成的滤 波器参数作为定值固定下来, 保存在保护装置或监测装置中。 这里给一个实例, 采用一 个 8阶的 Chebyshev II型低通滤波器, 低通滤波器 H (s)的转移函数为:
Figure imgf000009_0001
滤波器中各参数为: b0~b8 的结果 (用科学计数法表示) 分别为: 0.01, -1.1910e-14, 3.1583e4, 4.3568e-9 1.5585el0, 2.9148e-3, 2.4612el5, 2.9683e2, 1.2145e20。 a0~a8的结果 (用科学计数法表示) 分别为: 1.0, 1.5282e3, 1.1680e6, 5.8185e8, 2.0770ell, 5.4613el3, 1.0651el6, 1.4105el8, 1.2145e20。 低通滤波器的参数与模态频率无关, 是固定的定值。 滤波器的幅频特性如图 2所示。 滤波器的型式不限于 Chebyshev II型。 按式 1计算得到第一次滤波后的值 'A、 i'B、 i'c
(2) Design a low-pass filter Hz s) with a cutoff frequency in the range of 43Ηζ~48Ηζ. The designed filter parameters are fixed as fixed values and stored in the protection device or monitoring device. Here is an example, using an 8th-order Chebyshev II low-pass filter, the transfer function of the low-pass filter H (s) is:
Figure imgf000009_0001
The parameters in the filter are: b0~b8 (in scientific notation): 0.01, -1.1910e-14, 3.1583e4, 4.3568e-9 1.5585el0, 2.9148e-3, 2.4612el5, 2.9683e2 , 1.2145e20. The results of a0~a8 (represented by scientific notation) are: 1.0, 1.5282e3, 1.1680e6, 5.8185e8, 2.0770ell, 5.4613el3, 1.0651el6, 1.4105el8, 1.2145e20. The parameters of the low-pass filter are independent of the modal frequency and are fixed values. The amplitude-frequency characteristics of the filter are shown in Figure 2. The type of filter is not limited to the Chebyshev II type. The first filtered values ' A , i' B , i' c are calculated according to Equation 1.
( 3 ) 针对 27.0Hz和 39.0Hz这两个模态频率, 设计 2组高阶带通滤波器。 设计完成 的滤波器参数作为定值固定下来, 保存在保护装置和监测装置中。 这里给一个实例, 选 择 8阶的 Chebyshev II型带通滤波器, 形式为: HB (s) = , 2组带
Figure imgf000010_0001
(3) Two sets of high-order bandpass filters are designed for the two modal frequencies of 27.0 Hz and 39.0 Hz. The designed filter parameters are fixed as fixed values and stored in the protection device and the monitoring device. Here is an example of an 8th-order Chebyshev II bandpass filter in the form: H B (s) = , 2 bands
Figure imgf000010_0001
通滤波器的中心频率分别为 27.0Hz和 39.0Hz, 具体的滤波器参数如下: Hs.iW的参数: b0~b8的结果 (用科学计数法表示) 分别为: 0.01, -1.4043e-016, 2.0466e3, -3.4929e-011, 1.0471e8, -3.3800e-006, 1.3394el2, - 1.4832e-002, 4.2829el5。 a0~a8 的结果 (用科学计数法表示) 分别为: 1.0, 152.84, 1.1402e5, 1.2258e7, 4.5378e9, 3.1359el l, 7.4618el3, 2.5588el5, 4.2829el7。 The center frequency of the pass filter is 27.0 Hz and 39.0 Hz, respectively. The specific filter parameters are as follows: Hs.iW parameters: The results of b0~b8 (represented by scientific notation) are: 0.01, -1.4043e-016, 2.0466e3, -3.4929e-011, 1.0471e8, -3.3800e-006, 1.3394el2, - 1.4832e-002, 4.2829el5. The results of a0~a8 (represented by scientific notation) are: 1.0, 152.84, 1.1402e5, 1.2258e7, 4.5378e9, 3.1359el l, 7.4618el3, 2.5588el5, 4.2829el7.
H 2( 的参数: b0~b8 的结果 (用科学计数法表示) 分别为: 0.01, 1.1199e-015, 3.2972e3, 2.5408e-010, 3.2334e8, 6.3763e-006, 1.0656el3, -0.10984, 1.0445el7。 a0~a8的结果 (用科学计数法表示) 分别为: 1.0, 152.84, 2.3909e5, 2.6595e7, 2.0733el0 1.5119el2, 7.7268el4, 2.8080el6, 1.0445el9。 The parameters of H 2 (the results of b0~b8 (represented by scientific notation) are: 0.01, 1.1199e-015, 3.2972e3, 2.5408e-010, 3.2334e8, 6.3763e-006, 1.0656el3, -0.10984, 1.0445el7. The results of a0~a8 (represented by scientific notation) are: 1.0, 152.84, 2.3909e5, 2.6595e7, 2.0733el0 1.5119el2, 7.7268el4, 2.8080el6, 1.0445el9.
滤波器的型式不限于 Chebyshev II型。滤波器的幅频特性如图 3所示。按式 2计算得 到两组次同步电流信号 (m=l ,2) : "m,A、 "m,B、 i"m,cThe type of filter is not limited to the Chebyshev II type. The amplitude-frequency characteristics of the filter are shown in Figure 3. Two sets of subsynchronous current signals (m=l, 2) are calculated according to Equation 2: " m , A , " m , B , i" m , c .
( 4) 对得到的次同步电流信号进行过零点测频和傅氏计算。 经过上述处理后得到的信号都是正弦度比较好的正弦波。 可采用过零点算法计算出 模态频率 /m。 过零点方法测频: 测量正弦波形相邻两次由负变正 (或由负变正) 的过零 点对应的时间长度, 时间的倒数就是频率, 从而得到 rm,A、 rm,B、 rm,c的频率, 三个频 率取平均值作为最终的模态频率 /m。 对于一个次同步模态频率, 如果其三相电流中有一 相电流信号太小, 不足以准确测出频率, 则取两相模态电流的频率做平均; 类似的, 如 果其三相电流中有两相电流信号太小, 则取剩下的那一个信号较大的电流的频率为测频 结果; 如果其三相电流信号都很小, 则取带通滤波器的中心频率 (27.0Hz和 39.0Hz) 作 为模态频率的测量结果。 设测量到的 2个模态频率分别为 2 = 27.0Hz, 39.0Hz, 由此得到傅氏计算的数据窗 长度为 Ni = round(1200Hz/27.0Hz) = round(44.4) = 44, N2 = round(1200Hz/39.0Hz) = round(30.8) = 31 o 采用傅氏算法 (式 3) 计算出次同步模态信号 "m,A、 "m,B、 "m,c的幅值序列 /m»和 对应的相量 Lu i)。 其中, 因为两次滤波造成信号衰减, 所以还要确定式 3 当中的增益 校正系数 gm。 根据测量频率的结果, 查低通滤波器和带通滤波器对应的幅频特性图 2和 图 3, 找到信号经过两次滤波的增益 g!^m)和 gB,m( m), 则模态频率 & = 27.0Hz的增益系 数为: gi = (l/1.0) X (l/1.0) = 1.0, 模态频率 f2 = 39.0Hz的增益系数为: g2 = (1/0.8602) X (1/1.0) = 1.1625。 (4) Perform zero-crossing frequency measurement and Fourier calculation on the obtained sub-synchronous current signal. The signals obtained after the above processing are all sinusoidal waves having a relatively good sine. The zero-crossing algorithm can be used to calculate the modal frequency / m . Zero-crossing method frequency measurement: Measure the length of time corresponding to the zero-crossing point of the sinusoidal waveform from negative to positive (or negative-positive), and the reciprocal of time is the frequency, thus obtaining r m , A , r m , B , The frequency of r m , c , the three frequencies are averaged as the final modal frequency / m . For a subsynchronous modal frequency, if one of the three phase currents has a phase current signal that is too small to accurately measure the frequency, the frequency of the two-phase modal current is averaged; similarly, If the two-phase current signal of the three-phase current is too small, the frequency of the larger current of the remaining one is the frequency measurement result; if the three-phase current signal is small, the band-pass filter is taken. The center frequencies (27.0 Hz and 39.0 Hz) are measured as modal frequencies. Let the measured two modal frequencies be 2 = 27.0 Hz, 39.0 Hz, respectively, and the data window length calculated by Fourier is Ni = round (1200 Hz / 27.0 Hz) = round (44.4) = 44, N 2 = round (1200Hz / 39.0Hz) = round (30.8) = 31 o using Fourier algorithm (formula 3) to calculate a secondary synchronization signal mode "m, a," m, B, "m, c amplitude sequence / m »and the corresponding phasor Lu i). Among them, because the signal is attenuated by the two filters, the gain correction coefficient g m in Equation 3 is also determined. According to the result of the measured frequency, the low pass filter and the band pass filter are checked. Corresponding amplitude-frequency characteristics Figure 2 and Figure 3, find the gain of the signal after two filterings g!^m) and g B ,m( m), then the gain coefficient of the modal frequency & = 27.0Hz is: gi = (l /1.0) X (l/1.0) = 1.0, the gain factor of the modal frequency f2 = 39.0 Hz is: g 2 = (1/0.8602) X (1/1.0) = 1.1625.
(5)采用式 4, 计算 2个模态的三相电流所对应的正序分量 Ieq,u、 Ieq, 1, 和负序分(5) Using Equation 4, calculate the positive sequence components I eq , u , I eq , 1 , and the negative sequence corresponding to the two modal three-phase currents
-S Ieq,l,2、 Ieq,2,2 ° -S Ieq,l,2, Ieq,2,2 °
(6) 采用式 5, 将所有的正序、 负序分量折算成等效的工频负序电流 Ieq,2。 式 5中 的修正系数 km,^B km,2取 0.9。 (6) Using Equation 5, convert all positive and negative sequence components into equivalent power frequency negative sequence currents I eq , 2 . The correction coefficients k m , ^B k m , 2 in Equation 5 take 0.9.
(7) 参照发电机工频负序过电流保护, 进行定时限和反时限保护判别, 将折算 Ieq,2 代入判据式 6和式 7。 对于这里所举的实例, 按原有的工频负序电流保护进行定值整定, Krel=1.05,Kr=0.95,发电机额定电流 In = 3.5A (机端 CT的二次值, CT的变比为 25kA/5A), 发电机长期允许负序电流值 I2∞ = 8 In = 0.28A, 定时限电流定值 Iset = 0.31A, 定时限延 时 tset = 5.0s (躲过主变高压侧两相短路产生的负序电流保护动作延时, 防止区外故障抢 先动作), 发电机承受工频负序电流能力的常数 A = 10, 反时限保护电流启动值 Ipk = 0.33A,反时限保护最小动作延时 n = 2.0s。这些保护定值与原有的工频负序电流保护的 定值完全相同。 (7) Refer to the generator power frequency negative sequence overcurrent protection, and perform the definite time and inverse time protection protection judgment. The conversion I eq , 2 will be substituted into the criterion 6 and 7. For the example given here, the fixed value is set according to the original power frequency negative sequence current protection, K rel =1.05, K r =0.95, generator rated current I n = 3.5A (the secondary value of the machine end CT, The CT ratio is 25kA/5A), the generator long-term allowable negative sequence current value I 2∞ = 8 I n = 0.28A, the definite time current setting I set = 0.31A, the definite time delay t set = 5.0s ( Avoiding the negative sequence current protection action delay generated by the two-phase short circuit of the high-voltage side of the main transformer, preventing the pre-existing fault preemptive action), the constant of the generator with the power frequency negative sequence current capability A = 10, the inverse time limit protection current starting value I pk = 0.33A, inverse time protection minimum action delay n = 2.0s. These protection settings are exactly the same as the original power frequency negative sequence current protection settings.
( 8) 进行发散保护判别, 将折算 Ieq,2代入判据式 8, 结合式 7进行判别。 一般的, 次同步发散的过程不会太快, 因此数据比较间隔定值 T的取值可按其对应 的时间在 0.02s~ls的范围内来确定, 比如采样频率为 1200Hz, T=120时, 对应的时间为 采样 120个点对应的时间, 是 0.1s。 当电力系统出现扰动 (短路、 断路、 重合闸、 甩负荷等) 时, 会使电流信号中出现 次同步频段的量, 但其衰减很快, 一般为在 0.2s~0.5s内可衰减完毕。 发散计数定值可按 躲过这个衰减时间来确定, 比如采样频率为 1200Hz, Cset = 1800时, 对应的时间为采样 1800个点对应的时间, 是 1.5s。 采用上述方法, 即可检测发电机电枢电流中多个模态的次同步电流, 并实现次同步 电流的过电流保护及发散保护。 (8) Perform the divergence protection discrimination, substitute the conversion I eq , 2 into the criterion 8, and combine it with Equation 7. Generally, the process of sub-synchronous divergence is not too fast, so the value of the data comparison interval constant T can be determined according to the corresponding time in the range of 0.02 s~ls, for example, the sampling frequency is 1200 Hz, T=120. , the corresponding time is The time corresponding to sampling 120 points is 0.1s. When the power system is disturbed (short circuit, open circuit, reclosing, load shedding, etc.), the amount of sub-synchronous frequency bands will appear in the current signal, but its attenuation is very fast, generally it can be attenuated within 0.2s~0.5s. The divergence count setting can be determined by avoiding this decay time. For example, when the sampling frequency is 1200 Hz and C set = 1800, the corresponding time is the time corresponding to sampling 1800 points, which is 1.5 s. By using the above method, the secondary synchronous current of multiple modes in the armature current of the generator can be detected, and the overcurrent protection and divergence protection of the secondary synchronous current are realized.

Claims

权利要求书 Claim
1、 发电机次同步电流计算和次同步过电流及发散保护方法, 其特征是: 采集发电机的 三相电流信号, 将电流的各模态次同步电流的正序、 负序分量通过如下的公式折算成等 效的工频负序电流:  1. The secondary synchronous current calculation and the secondary synchronous overcurrent and divergence protection method are characterized in that: the three-phase current signal of the generator is collected, and the positive sequence and the negative sequence component of each mode secondary synchronous current of the current are passed as follows The formula is converted into an equivalent power frequency negative sequence current:
m = 1,2,· 式 1
Figure imgf000013_0001
其中: ,2是最终折算的等效的工频负序电流值; Im,i 和 Im,2是各模态次同步电流的 正序、 负序分量; km,^B km,2是修正系数; /n为实测的工频频率; /m是实测的模态频率。
m = 1,2,· Equation 1
Figure imgf000013_0001
Where: 2 is the equivalent power-frequency negative sequence current value of the final conversion; Im, i and I m , 2 are the positive and negative sequence components of the sub-synchronous currents of each mode; k m , ^ B k m , 2 Is the correction factor; / n is the measured power frequency; / m is the measured modal frequency.
2、 如权利要求 1 所述的发电机次同步电流计算和次同步过电流及发散保护方法, 其特征 是: 采集发电机的三相电流信号, 经过低通滤波和带通滤波, 分离出多组次同步模态频 率的信号; 通过对多组次同步信号进行计算得到次同步模态的频率, 模态信号的幅值序 列和对应的相量; 然后再求出各模态的三相电流对应的正序分量、 负序分量: 最后将各 模态的正序、 负序分量通过式 1折算成等效的工频负序电流。 2. The method of calculating subsynchronous current and subsynchronous overcurrent and divergence protection of a generator according to claim 1, wherein: collecting a three-phase current signal of the generator, and performing low-pass filtering and band-pass filtering to separate more Grouping the signal of the synchronous modal frequency; calculating the frequency of the subsynchronous mode, the amplitude sequence of the modal signal and the corresponding phasor by calculating the plurality of sets of subsynchronous signals; and then obtaining the three-phase current of each modal Corresponding positive sequence component and negative sequence component: Finally, the positive sequence and negative sequence components of each mode are converted into equivalent power frequency negative sequence current by Equation 1.
3、 如权利要求 2所述的发电机次同步电流计算和次同步过电流及发散保护方法, 其特征 是: 将计算所得的等效的工频负序电流代入发电机原有的工频负序过电流保护判据, 进 行定时限和反时限保护判别, 当定时限保护或反时限保护启动后, 观测等效的工频负序 电流是否有增长趋势, 若当前工频负序电流值大于以前的值工频负序电流, 则发散计数 器累加, 否则递减, 计数器的计数值超过预设的定值, 则认为是持续的增长, 判为发散 保护动作。 3. The generator secondary synchronous current calculation and the secondary synchronous overcurrent and divergence protection method according to claim 2, wherein: the calculated equivalent power frequency negative sequence current is substituted into the original power frequency negative of the generator. The overcurrent protection criterion is used to determine the definite time and inverse time protection. When the definite time protection or inverse time protection is activated, observe whether the equivalent power frequency negative sequence current has a growing trend. If the current power frequency negative sequence current value is greater than In the previous value of the power frequency negative sequence current, the divergence counter is accumulated, otherwise it is decremented. If the counter value exceeds the preset value, it is considered to be a continuous increase and is judged as a divergent protection action.
4、 如权利要求 2或 3所述的发电机次同步电流计算和次同步过电流及发散保护方法, 其 特征是: 保护装置或监测装置用固定采样频率采集发电机的三相电流信号 A、 B ic 经 过低通滤波和带通滤波, 分离出多组次同步模态频率的信号 rm,A、 'm,B、 rm,c, 模态 m=l,2,... ; 采用过零点算法得到次同步模态的频率 fm, 采用傅氏计算得到模态信号的幅值 序列 和对应的相量 求出各模态的三相电流对应的正序分量 ImJ、 负序分量 Im,2; 将各模态的正序、 负序分量折算成等效的工频负序电流 Ieq,2: 计算各个次同步模态信号的幅值序列和相量, 采用的傅氏计算的公式为: 4. The generator secondary synchronous current calculation and the secondary synchronous overcurrent and divergence protection method according to claim 2 or 3, wherein: the protection device or the monitoring device acquires the three-phase current signal A of the generator with a fixed sampling frequency, B ic low-pass filter and a band-pass filter, the separated plurality of sets of sub-synchronous mode frequency signals r m, a, 'm, B, r m, c, mode m = l, 2, ...; use The zero-crossing algorithm obtains the frequency f m of the subsynchronous mode. The amplitude sequence of the modal signal and the corresponding phasor are obtained by Fourier's calculation to obtain the positive sequence component I mJ and the negative sequence component corresponding to the three-phase current of each mode. I m , 2 ; Convert the positive and negative sequence components of each mode into the equivalent power frequency negative sequence current I eq , 2: Calculate the amplitude sequence and phasor of each sub-synchronous modal signal. The formula used in the Fourier calculation is:
'^(n) = gm(am (n)-j-bmi(n)) '^(n) = g m (a m (n)-jb mi (n))
i = A,B,C,m = 1,2,--- 式 2 i = A, B, C, m = 1, 2, ---
Figure imgf000014_0001
Figure imgf000014_0001
其中, gm为增益校正系数, /s为保护装置或监测装置的采样频率, ^为次同步模态频 率, ^为对应/ ^的数据窗长度; 各模态次同步电流的正序、 负序分量的计算公式为: n) + a- Im (n) + a2■ I n)y3 Where gm is the gain correction coefficient, / s is the sampling frequency of the protection device or monitoring device, ^ is the subsynchronous modal frequency, ^ is the data window length corresponding to / ^; the positive sequence and negative sequence of each modal subsynchronous current The formula for the calculation is: n) + a- Im (n) + a 2 ■ I n) y3
式 3 Equation 3
Figure imgf000014_0002
Figure imgf000014_0002
a = e  a = e
然后将结果代入式 1 中进行计算得到各模态的正序、 负序分量折算成等效的工频负序 电流 Ieq,2。  Then the result is substituted into Equation 1 to calculate the positive sequence and negative sequence components of each mode to be converted into the equivalent power frequency negative sequence current Ieq,2.
5、 如权利要求 1或 2所述的发电机次同步电流计算和次同步过电流及发散保护方法, 其 特征是: 发电机工频负序过电流保护, 进行定时限和反时限保护判别, 判据为: 定时限判据: 5. The method of calculating subsynchronous current and subsynchronous overcurrent and divergence protection of a generator according to claim 1 or 2, wherein: the power frequency negative sequence overcurrent protection of the generator is performed, and the definite time limit and the inverse time limit protection are determined. The criteria are: Time limit criteria:
K  K
> 且 t>tset 式 6 > and t>t set type 6
K,  K,
反时限判据  Inverse time criterion
A  A
且 式 其中, Krel为可靠系数; 为返回系数; tset为定时限保护延时; 1„^为反时限保护最 小动作延时; A为发电机承受工频负序电流能力的常数, 由主机厂提供,; Ieq,2为采用式 1 折算的等效工频负序电流; 12∞为发电机长期允许负序电流值; Isrt为定时限电流定值; In 为发电机额定电流值; Ipk为反时限保护电流启动值; 发散保护判据为: i» iem 式 8 Where K rel is the reliability coefficient; is the return coefficient; t set is the definite time protection delay; 1 „^ is the inverse time protection minimum action delay; A is the constant of the generator to withstand the power frequency negative sequence current capability, The main engine factory provides; I eq , 2 is the equivalent power frequency negative sequence current converted by Equation 1; 1 2 ∞ is the long-term allowable negative sequence current value of the generator; I srt is the definite time limit current setting; I n is the generator Rated current value; I pk is the inverse time protection current start value; the divergence protection criterion is: i» i e m type 8
Cnt > Cset 式 9 其中, T为数据比较间隔定值, Cset为发散计数定值; 当所述的的定时限、 反时限保护启动时, 对式 8 进行判别, 若式 8 满足, 则对应的 计数器 C 加 1 ; 如果保护没有启动或式 8不满足, 则计数器 C 减 1, 直至减到 0为 止; 当式 9满足时, 判为出现持续发散, 保护装置报警或跳闸。 Cnt > C set Equation 9 where T is the data comparison interval constant value, C set is the divergence count setting value; when the definite time limit and inverse time limit protection are started, Equation 8 is discriminated, and if Equation 8 is satisfied, then The corresponding counter C is incremented by one; if the protection is not activated or the formula 8 is not satisfied, the counter C is decremented by 1 until it is reduced to 0; when the formula 9 is satisfied, it is judged that continuous divergence occurs, and the protection device alarms or trips.
6、 如权利要求 1或 2所述的发电机次同步电流计算和次同步过电流及发散保护方法,其特 征是: 用固定采样频率采集发电机的三相电流信号。 6. A generator secondary synchronous current calculation and a secondary synchronous overcurrent and divergence protection method according to claim 1 or 2, characterized in that: the three-phase current signal of the generator is acquired with a fixed sampling frequency.
7、 如权利要求 1或 2所述的发电机次同步电流计算和次同步过电流及发散保护方法,其特 征是: 修正系数!^^和 km,2采用电磁场有限元的计算方法准确地定量计算次同步电枢电流 在转子上产生的损耗, 由此确定准确的 km, B km,27. The generator secondary synchronous current calculation and the secondary synchronous overcurrent and divergence protection method according to claim 1 or 2, wherein: the correction coefficient! ^^ and k m , 2 use the electromagnetic field finite element method to accurately calculate the loss of the secondary synchronous armature current on the rotor, thus determining the accurate k m , B k m , 2 .
8、 如权利要求 2或 3所述的发电机次同步电流计算和次同步过电流及发散保护方法,其特 征是: 次同步发散的过程不会太快, 因此数据比较间隔定值 T 的取值按其对应的时间在 0.02s~ls的范围内来确定; 当电力系统出现短路、 断路、 重合闸、 甩负荷等扰动时, 会使 电流信号中出现次同步频段的量, 但其衰减很快, 一般在 0.2s~0.5s 内可衰减完毕; 发散 计数定值按躲过这个衰减时间来确定。 8. The method of calculating subsynchronous current and subsynchronous overcurrent and divergence protection of a generator according to claim 2 or 3, wherein: the process of subsynchronous divergence is not too fast, so the data comparison interval T is taken. The value is determined according to the corresponding time in the range of 0.02s~ls; when the power system is short-circuited, broken, reclosed, overloaded, etc., the amount of sub-synchronous frequency band appears in the current signal, but the attenuation is very Fast, generally can be attenuated within 0.2s~0.5s; the divergence count value is determined by avoiding this decay time.
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CN102185283B (en) * 2011-04-01 2014-01-29 南京南瑞继保电气有限公司 Method for sub-synchronous current calculation and sub-synchronous over-current and divergent protection of generator
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CN103107523B (en) * 2013-01-28 2015-04-01 大唐国际发电股份有限公司 Relay protection method of blocking filter mistermination failure
CN103941088A (en) * 2014-04-10 2014-07-23 山东大学 Method for quickly measuring frequency of electric power system based on three-phase signals
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CN104638664B (en) * 2015-02-13 2016-08-24 北京四方继保自动化股份有限公司 Wind park sub-synchronous oscillation guard method and protection device
CN106374421B (en) * 2015-07-22 2018-11-30 朋程科技股份有限公司 It eliminates surging circuit, eliminate surging method and short-circuit protection
CN106532700B (en) * 2015-09-22 2019-08-06 中国电力工程顾问集团华北电力设计院有限公司 Effectively inhibit the block filter of three kinds of form subsynchronous resonances
CN107769172B (en) * 2017-11-09 2019-03-01 清华大学 The system-level protection system and method for secondary/supersynchronous resonance/oscillation
CN111756017B (en) * 2019-03-27 2022-07-22 南京南瑞继保电气有限公司 Transient torque out-of-limit rapid protection method and device for steam turbine generator unit
CN111564822B (en) * 2020-05-21 2022-08-23 国家电网有限公司 Cross-domain protection method of generator relay protection device
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