CN111624515A - Method and device for detecting turn-to-turn short circuit of stator winding of early synchronous generator - Google Patents
Method and device for detecting turn-to-turn short circuit of stator winding of early synchronous generator Download PDFInfo
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Abstract
The invention discloses a method and a device for detecting turn-to-turn short circuit of a stator winding of an early synchronous generator, wherein the method comprises the following steps: measuring a stator winding temperature signal, a stator vertical vibration signal and a stator three-phase current signal in real time; converting the stator vertical vibration signal into a frequency spectrum signal by utilizing fast Fourier transform, comparing different frequency components in the frequency spectrum signal with corresponding frequency components in a stator normal vibration data sample, and judging whether the synchronous generator has stator winding turn-to-turn short circuit fault or not by combining a stator winding temperature signal; and if the short circuit position is judged by using the optical fiber Bragg grating sensor, comparing the three-phase current signals of the stator with the normal three-phase current data samples of the stator to calculate the degree of the short circuit fault. The method has simple structure, can identify the fault position and degree of the turn-to-turn short circuit fault of the stator winding of the early synchronous generator, and is simple and easy to implement.
Description
Technical Field
The invention relates to the technical field of equipment state monitoring and testing, in particular to a method and a device for identifying the degree and the position of turn-to-turn short circuit fault of a stator winding of a synchronous generator by utilizing an actually measured stator winding temperature signal, a stator vibration signal and stator current change.
Background
Stator winding short circuit faults are the most common faults in electrical machines and if severe will lead to phase-to-phase short circuits and earth faults. The main cause of the short circuit is the breakdown of the insulating material, which is caused jointly by the various stresses (thermal, electrical, mechanical) acting on the winding during its service life. This insulation breakdown can cause turn-to-turn short circuit faults, which in turn can cause the short-circuited winding to generate a large temperature rise, which can lead to an increased short circuit degree and finally to motor faults. Therefore, detection of early stator winding turn-to-turn short circuits is critical to prevent severe motor damage and reduce associated maintenance costs and production losses.
However, the prior art is mostly based on online monitoring and analysis of individual electrical parameters (stator current, phase voltage, impedance, etc.), vibration parameters (stator-rotor vibration, stator end winding vibration). However, the above-described techniques have limited effective identification of early fault phases of turn-to-turn short circuits, such as small variations in the operating conditions of the motor, e.g., load variations, power source imbalances, and inherent asymmetries, which can greatly affect the accuracy of their diagnosis. Therefore, timely protection measures cannot be taken at the initial stage of the formation and the development of the turn-to-turn short circuit to restrain the development of faults, and the loss is reduced to the maximum extent.
Therefore, it is an urgent need to solve the problem of providing a method and a device for detecting an early turn-to-turn short circuit of a stator winding of a synchronous generator.
Disclosure of Invention
In view of the above, the invention provides a method and a device for detecting an early synchronous generator stator winding turn-to-turn short circuit, which can identify the fault position and degree of the early synchronous generator stator winding turn-to-turn short circuit fault, are simple and easy to implement, can make up the defects of the traditional monitoring technology which mainly uses the single electrical parameter and the mechanical parameter of the synchronous generator, and provide important reference data for the identification and monitoring of the early synchronous generator stator winding turn-to-turn short circuit.
In order to achieve the purpose, the invention adopts the following technical scheme:
the device comprises a synchronous generator, a vertical vibration speed sensor, a current transformer, a fiber Bragg grating optical sensor, a fiber Bragg grating mediating instrument, a direct-current driving motor, an upper computer and a lower computer, wherein the vertical vibration speed sensor is vertically adsorbed at the upper end of a stator of the synchronous generator, the current transformer is connected with a stator winding wire outlet end of the synchronous generator, the fiber Bragg grating optical sensor is embedded in a stator groove of the synchronous generator, the vertical vibration speed sensor and the current transformer are connected with the upper computer through the lower computer, the fiber Bragg grating optical sensor is connected with the upper computer through the fiber Bragg grating mediating instrument, and the synchronous generator is connected with the direct-current driving motor.
Furthermore, the optical fiber Bragg grating optical sensors are arranged in stator slots where the upper-layer winding and the lower-layer winding of each coil of each phase winding of the stator are located, and the optical fiber Bragg grating optical sensors are sequentially numbered in the anticlockwise direction.
An early synchronous generator stator winding turn-to-turn short circuit detection method comprises the following steps:
step 1: respectively measuring a stator winding temperature signal, a stator vertical vibration signal and a stator three-phase current signal in real time correspondingly by using a fiber Bragg grating optical sensor, a vertical vibration speed sensor and a current transformer;
step 2: converting the stator vertical vibration signal into a frequency spectrum signal by utilizing fast Fourier transform, comparing different frequency components in the frequency spectrum signal with corresponding frequency components in a stator normal vibration data sample, and comparing the stator winding temperature signal with the stator winding normal temperature data sample, wherein if the frequency doubling amplitude of the stator is increased, the amplitude and the vibration characteristics of frequency quadrupling and frequency sextuple appear and the temperature of the stator winding rises, the synchronous generator has stator winding turn-to-turn short circuit fault;
and step 3: and judging the short-circuit position by using the serial number of the fiber Bragg grating optical sensor, and comparing the three-phase current signals of the stator with the normal three-phase current data samples of the stator to calculate the short-circuit fault degree.
Further, the process of acquiring the normal vibration data sample of the stator and the normal temperature data sample of the stator winding is as follows:
after the synchronous generator assembling machine is debugged and all indexes tend to be normal, utilizing the vertical vibration speed sensor and the fiber Bragg grating optical sensor to respectively and correspondingly measure the vertical vibration speed of the stator and the temperature of the stator winding, solving the average value of the vertical vibration speed of the stator and the average value of the temperature of the stator winding to obtain a normal temperature data sample of the stator winding, filtering and de-noising the average value of the vertical vibration speed of the stator, converting the average value of the vertical vibration speed of the stator into a frequency spectrum signal by adopting an FFT algorithm, extracting and recording the vibration characteristics and the amplitude of the first frequency multiplication to the sixth frequency multiplication of the stator, and obtaining the normal vibration data sample of the stator.
Further, the process of acquiring the normal three-phase current data samples of the stator comprises the following steps:
and after the generator set is assembled and debugged and when all indexes tend to be normal, measuring ten groups of stator phase currents through the current transformer, extracting three-phase current signals of the ten groups of stator phase currents, and respectively solving the average value of the ten groups of three-phase current signals to obtain sample data of the stator phase currents.
Further, the short-circuit fault degree calculation formula is as follows:
in the formula, nA、nBAnd nCShort-circuit fault degrees of phase A, phase B and phase C currents, iANAnd iAFFor the normal operation of the generator and the stator A phase electricity under the turn-to-turn short circuit of the stator windingStream, iBNAnd iBFStator phase B current i for normal operation of the generator and inter-turn short circuit of the stator windingCNAnd iCFFor the stator C phase current under the normal operation of the generator and the turn-to-turn short circuit of the stator winding, the calculation formula is as follows:
in the formula, wcNumber of winding turns for one phase of the stator winding, gamma is the harmonic order, kwγIs the distribution factor of the gamma-th harmonic winding, l is the effective length of the stator winding, v is the linear speed of the air gap flux density cutting winding, z is the winding impedance, BNAnd BFFor the air gap composite magnetic flux density under the normal operation of the generator and the turn-to-turn short circuit of the stator winding, the calculation formula is as follows:
in the formula, ω is the electrical angular frequency, If2The peak value of current induced in an excitation winding under the condition of stator turn-to-turn short circuit, N is the number of turns of the excitation winding, η is the proportional coefficient of stator magnetic potential and rotor magnetic potential, p is the pole pair number of a generator, αmFor the circumferential angle used to characterize the air gap position, ψ is the generator internal power angle, t is time Λ0Is a constant permeability of the air gap per unit area, If0For the excitation current under the normal operation of the generator, the calculation formula is as follows:
in the formula (f)NAnd fFFor the air-gap magnetic potential in normal operation of the generator and in turn-to-turn short-circuiting of the stator windings, FrAnd Fr1For rotor magnetic potential in normal operation of the generator and in turn-to-turn short-circuiting of the stator windings, FsAnd Fs1The magnetic potential of the stator under the normal operation of the generator and the turn-to-turn short circuit of the stator winding is obtained.
According to the technical scheme, compared with the prior art, the method and the device for detecting the turn-to-turn short circuit of the stator winding of the early synchronous generator are provided, the fiber Bragg grating optical sensor has the characteristic of sharply capturing the change of the environmental temperature, the stator winding can generate an obvious temperature rise phenomenon under the early stator turn-to-turn short circuit fault, and the fault degree and the fault position of the turn-to-turn short circuit of the stator winding of the early synchronous generator are detected by an electromechanical-thermal joint diagnosis method for actually measuring a stator vertical vibration signal, a stator current signal and a stator winding temperature signal.
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In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings used in the description of the embodiments or the prior art will be briefly described below, it is obvious that the drawings in the following description are only embodiments of the present invention, and for those skilled in the art, other drawings can be obtained according to the provided drawings without creative efforts.
Fig. 1 is a flow chart of an early synchronous generator stator winding turn-to-turn short circuit detection method provided by the invention.
Fig. 2 is a schematic connection diagram of an early synchronous generator stator winding turn-to-turn short circuit detection device provided by the invention.
Fig. 3 is a schematic diagram of the arrangement of the fiber bragg grating optical sensor in the stator slot provided by the invention.
Wherein the content of the first and second substances,
1. the device comprises a synchronous generator, 2 a vertical vibration speed sensor, 3 a current transformer, 4 a fiber Bragg grating optical sensor, 5 a fiber Bragg grating modulator, 6 a direct current driving motor, 7 an upper computer, 8 a lower computer, 9 a stator slot, 10 a stator winding, 11 and a stator iron core.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
As shown in figure 2, the embodiment of the invention discloses an early synchronous generator stator winding turn-to-turn short circuit detection device, which comprises a synchronous generator 1, a vertical vibration speed sensor 2, a current transformer 3, a fiber Bragg grating optical sensor 4, a fiber grating mediation instrument 5, a direct current drive motor 6, an upper computer 7 and a lower computer 8, wherein the vertical vibration speed sensor 2 is used for measuring the vertical vibration of the stator, the vertical vibration speed sensor 2 is vertically adsorbed at the upper end of the stator of the synchronous generator 1 through a bottom magnet, the collected stator vertical vibration speed signal is subjected to A/D conversion, filtering denoising and sampling through the lower computer 8 and finally input into the upper computer 7 for storage, the current transformer 3 is connected to a stator winding outlet end of the synchronous generator 1 and used for measuring the stator phase current, and specifically, 3 current transformers are arranged, and correspondingly measuring the three-phase current of the stator.
As shown in FIG. 3, the fiber Bragg grating optical sensor 4 is embedded in the center of the stator slot 9 to measure the temperature of the stator winding 10, A, B, C three-phase windings are arranged in the stator slot 9, the number of parallel branches is 2, the stacking mode is double-layer short-distance stacked windings, namely, each phase winding in FIG. 3 has 12 coils, namely, A1 branches of upper-layer windings A1+, A2+, A3+, A4+, A5+, A6+ are respectively arranged on the upper layers of No. 1-6 slots, lower-layer windings A15-, A16-, A17-, A18-, A19-, A20-, are arranged on the lower layers of No. 15-20 slots, A2 branches of upper-layer windings A19+, A20+, A21+, A22+, A23+, A24+, are arranged on the upper layers of No. 19-24 slots, and lower-layer windings A33-, A34-, A35-, A36-, A1-, A2-, A35-, A, is arranged at the lower layer of the No. 33-36 and No. 1-2 grooves; c1 branch upper-layer windings C7+, C8+, C9+, C10+, C11+ and C12+ are arranged on the upper layer of a No. 7-12 slot, C1 branch lower-layer windings C21-, C22-, C23-, C24-, C25-and C26-are arranged on the lower layer of a No. 21-26 slot, C2 branch upper-layer windings C25+, C26+, C27+, C28+, C29+, C30+, and are arranged on the upper layer of a No. 25-30 slot, and C2 branch lower-layer windings C3-, C4-, C5-, C6-, C7-, C8-are arranged on the lower layer of a No. 3-8 slot; b1 branch upper layer winding B13+, B14+, B15+, B16+, B17+ and B18+ are arranged on the upper layer of No. 13-18 slots, B1 branch lower layer winding B27-, B28-, B29-, B30-, B31-, B32-are arranged on the lower layer of No. 27-32 slots, B2 branch upper layer winding B31+, B32+, B33+, B34+, B35+, B36+, B2 branch lower layer winding B9-, B10-, B11-, B12-, B13-, B14-are arranged on the lower layer of No. 9-14 slots. The stator is characterized in that stator slots in which an upper winding and a lower winding of each coil of each phase winding of the stator are respectively arranged are respectively provided with a fiber Bragg grating optical sensor 4, the total number of 72 fiber Bragg grating optical sensors is respectively arranged in the stator slot 9 in which each coil of each phase winding is arranged, the fiber Bragg grating optical sensors 4 on each phase winding coil are sequentially numbered in the anticlockwise direction, namely 6 fiber Bragg grating optical sensors 4 on an A1 branch upper winding of an A phase winding coil are sequentially numbered as 1, 2, 3, 4, 5 and 6 in the anticlockwise direction, 6 fiber Bragg grating optical sensors 4 on an A1 branch lower winding are sequentially numbered as 7, 8, 9, 10, 11 and 12 in the anticlockwise direction, 6 fiber Bragg grating optical sensors 4 on an A2 branch upper winding are sequentially numbered as 13, 13 and, 14. 15, 16, 17, 18, 6 fiber bragg grating optical sensors 4 on a lower winding of a branch A2, 19, 20, 21, 22, 23, 24 sequentially numbered in a counterclockwise direction, 6 fiber bragg grating optical sensors 4 on a branch B1 upper winding of a winding coil of a B phase, 25, 26, 27, 28, 29, 30 sequentially numbered in a counterclockwise direction, 6 fiber bragg grating optical sensors 4 on a lower winding of a branch B1, 31, 32, 33, 34, 35, 36 sequentially numbered in a counterclockwise direction, fiber bragg grating optical sensors 4 on a branch B2 upper winding, 37, 38, 39, 40, 41, 42 sequentially numbered in a counterclockwise direction, 6 fiber bragg grating optical sensors 4 on a lower winding of a branch B2, 43, 44, 45, 46, 47, 48 sequentially numbered in a counterclockwise direction, 6 fiber bragg grating optical sensors 4 on a branch C1 upper winding of a winding coil of a phase C phase, the number of the 6 fiber Bragg grating optical sensors 4 on the lower-layer winding of the C1 branch is 49, 50, 51, 52, 53 and 54 in sequence in the counterclockwise direction, the number of the 6 fiber Bragg grating optical sensors 4 on the upper-layer winding of the C2 branch is 55, 56, 57, 58, 59 and 60 in sequence in the counterclockwise direction, the number of the 6 fiber Bragg grating optical sensors 4 on the lower-layer winding of the C2 branch is 61, 62, 63, 64, 65 and 66 in sequence in the counterclockwise direction, the number of the 6 fiber Bragg grating optical sensors 4 on the upper-layer winding of the C2 branch is 67, 68, 69, 70, 71 and 72 in sequence in the counterclockwise direction, the fiber Bragg grating optical sensors 4 are input into a fiber Bragg grating demodulator 5, and the acquired temperature signals are uploaded to an upper computer.
As shown in figure 1, the method for detecting the turn-to-turn short circuit of the stator winding of the early synchronous generator based on the device comprises the steps of measuring a stator winding temperature signal, a stator vertical vibration signal and a stator current as monitoring contrast quantities in real time, collecting the winding temperature signal by using an optical fiber Bragg grating sensor, transmitting the winding temperature signal to an upper computer by using an optical fiber grating mediator to judge whether the temperature of the winding is obviously increased, collecting a stator vertical vibration speed signal by using the vertical vibration speed sensor, filtering and denoising the signal, converting the signal into a frequency spectrum signal by using an FFT algorithm, comparing different frequency components in the converted frequency spectrum signal with corresponding frequency components in a stator normal vibration data sample, judging whether the turn-to-turn short circuit and the short circuit occur or not by combining mechanical parameters and thermal parameters, inducing each phase of the stator current by a current transformer, and obtaining the average value of each phase of the current data, and calculating the short circuit degree by combining the normal stator phase current.
The method specifically comprises the following steps:
step 1: respectively measuring a stator winding temperature signal, a stator vertical vibration signal and a stator three-phase current signal in real time correspondingly by using a fiber Bragg grating optical sensor, a vertical vibration speed sensor and a current transformer;
step 2: converting the stator vertical vibration signal into a frequency spectrum signal by utilizing fast Fourier transform, comparing different frequency components in the frequency spectrum signal with corresponding frequency components in a stator normal vibration data sample, and comparing the stator winding temperature signal with the stator winding normal temperature data sample, wherein if the frequency doubling amplitude of the stator is increased, the frequency quadrupling and frequency sextuple vibration characteristics and the amplitude appear and the temperature of the stator winding rises, the synchronous generator has stator winding turn-to-turn short circuit fault;
and step 3: and respectively arranging a fiber Bragg grating optical sensor in a stator slot where an upper-layer winding and a lower-layer winding of each coil of each phase winding of the stator are positioned, and finding out the corresponding fiber Bragg grating optical sensor by contrasting data with temperature rise, so that the short-circuit position is judged by utilizing the serial number of the fiber Bragg grating optical sensor, and the short-circuit fault degree is calculated by utilizing the comparison of a stator three-phase current signal extracted by the current transformer and a stator normal three-phase current data sample.
The four simultaneous equations for solving the degree of stator winding shorting are:
in the formula (1) fNAnd fFThe magnetic potential of the air gap is under the normal operation of the generator and the turn-to-turn short circuit of the stator winding; frAnd Fr1For rotor magnetic potential in normal operation of the generator and in turn-to-turn short-circuiting of the stator windings, FsAnd Fs1For the stator magnetic potential under normal operation of the generator and turn-to-turn short circuit of the stator winding, If0For the excitation current in normal operation of the generator, If2The peak value of current induced in an excitation winding under the condition of stator turn-to-turn short circuit, N is the number of turns of the excitation winding, η is the proportional coefficient of stator magnetic potential and rotor magnetic potential, p is the pole pair number of a generator, αmFor representing the circumferential angle of the air gap position, psi is the internal power angle of the generator, and the numerical values are the power angle theta and the power factor angle of the generator
The sum of (1) can be obtained by measuring with a special instrument in operation, and t is time. In formula (1) except for excitationStream If0Besides, all the other parameters are inherent parameters of the motor, and can be directly obtained by searching from motor equipment data.
In the formula (2) BNAnd BFThe resultant magnetic flux density of the air gap under normal operation of the generator and turn-to-turn short circuit of the stator winding is Λ0Is a constant permeability per unit area of the air gap.
In formula (3) iANAnd iAFFor stator phase A current i under normal operation of the generator and turn-to-turn short circuit of the stator windingBNAnd iBFStator phase B current i for normal operation of the generator and inter-turn short circuit of the stator windingCNAnd iCFFor normal operation of the generator and stator C-phase current, w, in case of turn-to-turn short-circuit of the stator windingcNumber of winding turns for one phase of the stator winding, gamma is the harmonic order, kwγAnd the distribution factor of the gamma-th harmonic winding is represented by l, the effective length of the stator winding, v, the linear velocity of the air gap flux density cutting winding and z, the winding impedance.
And obtaining a final fault degree expression of the turn-to-turn short circuit fault of the stator winding of the synchronous generator according to the three expressions as shown in the expression (4). Wherein n isA、nBAnd nCThe short-circuit fault degrees of the A phase, the B phase and the C phase are respectively.
The method for detecting the temperature signal of the normal stator winding and acquiring the normal vibration data sample and the normal stator phase current comprises the following steps:
and a fiber Bragg grating optical sensor is arranged at the center of a stator slot of the synchronous generator, a temperature signal is input into an upper computer through a fiber Bragg grating demodulator, and the vertical direction of the stator is measured by using a vertical vibration speed sensor.
Claims (6)
1. The device for detecting the turn-to-turn short circuit of the stator winding of the early synchronous generator is characterized by comprising a synchronous generator (1), a vertical vibration speed sensor (2), a current transformer (3), a fiber Bragg grating optical sensor (4), a fiber Bragg grating mediating instrument (5), a direct current driving motor (6), an upper computer (7) and a lower computer (8), wherein the vertical vibration speed sensor (2) is vertically adsorbed at the upper end of the stator of the synchronous generator (1), the current transformer (3) is connected with the outlet end of the stator winding of the synchronous generator (1), the fiber Bragg grating optical sensor (4) is embedded into the stator slot of the synchronous generator (1), the vertical vibration speed sensor (2) and the current transformer (3) are connected with the upper computer (7) through the lower computer (8), the fiber Bragg grating optical sensor (4) is connected with the upper computer (7) through the fiber Bragg grating modulator (5), and the synchronous generator (1) is connected with the direct current driving motor (6).
2. The device for detecting the turn-to-turn short circuit of the stator winding of the early synchronous generator according to claim 1, wherein the fiber bragg grating optical sensors (4) are arranged in the stator slots where the upper winding and the lower winding of each coil of each phase winding of the stator are located, and the fiber bragg grating optical sensors (4) are sequentially numbered in the counterclockwise direction.
3. An early synchronous generator stator winding turn-to-turn short circuit detection method based on an early synchronous generator stator winding turn-to-turn short circuit detection device is characterized by comprising the following steps:
step 1: respectively measuring a stator winding temperature signal, a stator vertical vibration signal and a stator three-phase current signal in real time correspondingly by using a fiber Bragg grating optical sensor (4), a vertical vibration speed sensor (2) and a current transformer (3);
step 2: converting the stator vertical vibration signal into a frequency spectrum signal by utilizing fast Fourier transform, comparing different frequency components in the frequency spectrum signal with corresponding frequency components in a stator normal vibration data sample, and comparing the stator winding temperature signal with the stator winding normal temperature data sample, wherein if the frequency doubling amplitude of the stator is increased, the amplitude and the vibration characteristics of frequency quadrupling and frequency sextuple appear and the temperature of the stator winding rises, the synchronous generator has stator winding turn-to-turn short circuit fault;
and step 3: and judging the short-circuit position by using the serial number of the fiber Bragg grating optical sensor (4), and comparing the three-phase current signals of the stator with the normal three-phase current data samples of the stator to calculate the short-circuit fault degree.
4. The method for detecting the early synchronous generator stator winding turn-to-turn short circuit according to claim 3, wherein the obtaining process of the stator normal vibration data sample and the stator winding normal temperature data sample is as follows:
after the synchronous generator assembling machine is debugged and all indexes tend to normal states, the vertical vibration speed sensor (2) and the fiber Bragg grating optical sensor (4) are utilized to respectively and correspondingly measure the vertical vibration speed of the stator and the temperature of the stator winding, the average value of the vertical vibration speed of the stator and the average value of the temperature of the stator winding are solved to obtain a normal temperature data sample of the stator winding, the average value of the vertical vibration speed of the stator is filtered and de-noised and then is converted into a frequency spectrum signal by adopting an FFT algorithm, and the vibration characteristics and the amplitude of the first frequency multiplication to the sixth frequency multiplication of the stator are extracted and recorded to obtain the normal vibration data sample of the stator.
5. The method for detecting the early synchronous generator stator winding turn-to-turn short circuit according to claim 4, wherein the obtaining process of the normal three-phase current data samples of the stator is as follows:
and after the generator set is installed and debugged, and when all indexes tend to be normal, ten sets of stator phase currents are measured through the current transformer (3), three-phase current signals of the ten sets of stator phase currents are extracted, the average value of the ten sets of three-phase current signals is respectively solved, and sample data of the stator phase currents are obtained.
6. The method for detecting the early synchronous generator stator winding turn-to-turn short circuit according to claim 5, wherein the short circuit fault degree calculation formula is as follows:
in the formula, nA、nBAnd nCShort-circuit fault degrees of phase A, phase B and phase C currents, iANAnd iAFFor stator phase A current i under normal operation of the generator and turn-to-turn short circuit of the stator windingBNAnd iBFStator phase B current i for normal operation of the generator and inter-turn short circuit of the stator windingCNAnd iCFFor the stator C phase current under the normal operation of the generator and the turn-to-turn short circuit of the stator winding, the calculation formula is as follows:
in the formula, wcNumber of winding turns for one phase of the stator winding, gamma is the harmonic order, kwγIs the distribution factor of the gamma-th harmonic winding, l is the effective length of the stator winding, v is the linear speed of the air gap flux density cutting winding, z is the winding impedance, BNAnd BFFor the air gap composite magnetic flux density under the normal operation of the generator and the turn-to-turn short circuit of the stator winding, the calculation formula is as follows:
in the formula, ω is the electrical angular frequency, If2The peak value of current induced in an excitation winding under the condition of stator turn-to-turn short circuit, N is the number of turns of the excitation winding, η is the proportional coefficient of stator magnetic potential and rotor magnetic potential, p is the pole pair number of a generator, αmFor the circumferential angle used to characterize the air gap position, ψ is the generator internal power angle, t is time Λ0Is a constant permeability of the air gap per unit area, If0For the excitation current under the normal operation of the generator, the calculation formula is as follows:
in the formula (f)NAnd fFFor the air-gap magnetic potential in normal operation of the generator and in turn-to-turn short-circuiting of the stator windings, FrAnd Fr1For rotor magnetic potential in normal operation of the generator and in turn-to-turn short-circuiting of the stator windings, FsAnd Fs1The magnetic potential of the stator under the normal operation of the generator and the turn-to-turn short circuit of the stator winding is obtained.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010641820.4A CN111624515B (en) | 2020-07-06 | 2020-07-06 | Method and device for detecting turn-to-turn short circuit of stator winding of early synchronous generator |
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| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN202010641820.4A CN111624515B (en) | 2020-07-06 | 2020-07-06 | Method and device for detecting turn-to-turn short circuit of stator winding of early synchronous generator |
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| CN116679202A (en) * | 2023-04-20 | 2023-09-01 | 华北电力大学（保定） | Generator fault detection method based on air gap magnetic flux density characteristics |
| CN116679202B (en) * | 2023-04-20 | 2023-11-21 | 华北电力大学（保定） | Generator fault detection method based on air gap magnetic flux density characteristics |
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