CN109245047B - 110kV transformer excitation surge suppression device and suppression method - Google Patents
110kV transformer excitation surge suppression device and suppression method Download PDFInfo
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Classifications
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H7/00—Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions
- H02H7/04—Emergency protective circuit arrangements specially adapted for specific types of electric machines or apparatus or for sectionalised protection of cable or line systems, and effecting automatic switching in the event of an undesired change from normal working conditions for transformers
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02H—EMERGENCY PROTECTIVE CIRCUIT ARRANGEMENTS
- H02H9/00—Emergency protective circuit arrangements for limiting excess current or voltage without disconnection
- H02H9/02—Emergency protective circuit arrangements for limiting excess current or voltage without disconnection responsive to excess current
Abstract
The invention discloses a 110kV transformer excitation surge suppression device and a suppression method, wherein the device comprises a fast switch and a controller system, the fast switch is connected between a high-voltage side of the 110kV transformer and an isolating switch, and the controller system controls the opening and closing operation of the fast switch; the method adopts a phase-selecting and switching-on technology to switch on an empty-load transformer, controls the switching-on time of a transformer excitation surge current suppression device through phase separation, and inputs the transformer when pre-induction magnetic flux is equal to the existing magnetic flux in a core. The invention has important significance in limiting excitation surge current, eliminating protection misoperation, improving electric energy quality and improving equipment and power grid operation reliability on the premise of not reducing working magnetic flux of the transformer and not changing the performance and working mode of the conventional circuit breaker.
Description
Technical Field
The invention relates to the technical field of transformer excitation surge current, in particular to a 110kV transformer excitation surge current suppression device and a suppression method.
Background
With the development of industry, the demand for utility and reliability of electrical infrastructure is becoming increasingly stringent. When the main transformer of a newly-built transformer substation is put into operation or the transformer is put into operation after overhauling, the combined no-load transformer can generate larger excitation surge current, and the important influence is generated on a power grid. Under the condition of special disadvantage, the switching-on excitation surge current reaches 20 times of rated current, so that the transformer winding generates displacement in the oil tank, the connection between coils and the connection between the coils and the terminals are possibly damaged, and finally the winding is opened. Meanwhile, the existence of excitation surge current can be regarded as internal faults by differential protection, so that relay protection misoperation is caused; the abundant harmonic components in the excitation surge current can cause the system to resonate at a certain frequency, and the electric energy quality of the power grid is adversely affected; the direct current component in the excitation surge current can generate mechanical torque with oscillation property on the motor, and the oscillation of the motor can be increased, so that the service life of the motor is further influenced.
In order to inhibit the switching-on excitation surge current of the no-load transformer, the traditional response strategies comprise pre-insertion resistance, pre-demagnetization of the transformer, simple phase-selection switching-on and the like. The pre-insertion resistor is adopted, so that the effect of suppressing the inrush current can be achieved to a certain extent, but the early investment, the later maintenance and the fault points of the equipment are increased, and the situation that the requirements on power supply reliability are not met is revealed. The pre-demagnetization means that the residual magnetic flux of the transformer is eliminated by adopting an alternating current or direct current demagnetization method on site; the alternating current demagnetization is to add alternating current voltage on the low-voltage side of the transformer, the high-voltage neutral point is grounded, the voltage is slowly increased to rated voltage, and the voltage is slowly reduced to zero after a certain time is kept; the direct current demagnetizing method has no standard operation flow, the demagnetizing effect is judged only by experience, and large excitation surge current still appears when the transformer is switched on. The simple phase-selecting and switching-on technology is characterized in that residual magnetic flux of a transformer iron core is measured in advance, and a breaker is switched on at the same moment when the expected magnetic flux is the same as the residual magnetic flux of the iron core, and has the following defects: 1) Residual magnetic flux detection accuracy is low, 2) because most of currently used circuit breakers are SF 6 The circuit breaker has long stroke and large closing work, the operating mechanism is mainly a spring mechanism or a hydraulic mechanism, the typical closing time is more than 100ms, the mechanism is easily influenced by factors such as pressure, ambient temperature, pre-breakdown and the like, the operation dispersity is large, and the accurate opening and closing requirements are difficult to meet. The existing inhibition method has poor effect of inhibiting the excitation surge current or is basically not practically applied in engineering, and is forced to adopt a differential protection braking or temporary adjustment differential protection setting value method to avoid the excitation surge current.
Disclosure of Invention
The invention aims to solve the technical problem of providing a 110kV transformer excitation surge suppression device and a suppression method.
The aim of the invention is realized by the following technical scheme: the utility model provides a 110kV transformer excitation surge suppression device, includes fast switch and controller system, fast switch connects between 110kV transformer high-voltage side and isolator, the switching-on and switching-off operation of controller system control fast switch.
In the scheme, the fast switch is composed of two fast switch units connected in series.
In the scheme, the rapid switching unit is formed by connecting a capacitor and a switch in parallel, rated voltage of the rapid switching unit is 110kV, switching-off current is 40kA, switching-off time is less than 1.2ms, switching-off dispersity is less than +/-0.1 ms, switching-off angle error is less than 3.6 degrees, switching-on time is less than 15ms, switching-on dispersity is less than +/-0.2 ms, and switching-on angle error is less than 7.2 degrees; the capacitance of the capacitor is 100nF.
In the scheme, the control system consists of a power circuit, a signal conditioning circuit, an internal trigger circuit, an AD conversion and FPGA acquisition control circuit, an ARM calculation control circuit and a vacuum switch opening and closing control circuit; the power supply circuit is used for supplying power to the analog circuit, the digital circuit and the IO control circuit in the hardware unit; the AD conversion and FPGA acquisition control circuit is formed by connecting an AD conversion control circuit with an FPGA acquisition control circuit; the input end of the signal conditioning circuit is connected with a voltage input signal, the output end of the signal conditioning circuit is connected with the input ends of the internal trigger circuit and the AD conversion control circuit respectively, the output end of the internal trigger circuit is connected with the FPGA acquisition control circuit, the ARM calculation control circuit is connected with the FPGA acquisition control circuit, and the vacuum switch opening and closing control circuit is connected with the ARM calculation control circuit.
In the scheme, the vacuum switch opening and closing control circuit comprises a vacuum switch opening control circuit and a vacuum switch closing control circuit, wherein the vacuum switch opening control circuit and the vacuum switch closing control circuit are respectively connected with the ARM calculation control circuit, the vacuum switch opening control circuit and the vacuum switch closing control circuit are respectively provided with a power solid-state relay, and an IO buffer circuit is connected between the power solid-state relay and the ARM calculation control circuit.
The invention also provides a 110kV transformer excitation surge current suppression method, which adopts a phase-selecting and switching-on technology to switch on an empty-load transformer, and the switching-on time of the 110kV transformer excitation surge current suppression device is controlled by phase separation, so that the transformer is put into the transformer when the pre-induction magnetic flux is equal to the existing magnetic flux in the iron core.
The method comprises the steps that when the switch is closed, the front two phases are closed at first, and the closing condition meets the requirement that expected magnetic flux generated by interphase voltage of the front two phases in the iron core is equal to residual magnetic flux of the interphase voltage of the front two phases; and after the third phase is closed, the closing condition meets the condition that the dynamic magnetic flux generated by the third phase in the iron core is equal to the expected magnetic flux.
The method for suppressing the exciting surge of the 110kV transformer comprises the following specific operations:
step1, a voltage acquisition module determines an input voltage U;
step2, adjust the signal to generate a sinusoidal reference signal U 12 ；
Step3, determining the residual magnetic flux Φ in the core limb r1 、Φ r2 ；
Step4, zero point identification, and a sinusoidal signal U 12 Into square wave S 1 ；
Step5, differentiating to generate a signal S containing pulses 2 And S is connected with 1 The rising and falling slopes of (2) are consistent;
step6, rectifying to generate a product containing only S 2 Positive pulse signal S of (1) 3 ；
Step7, calculating the first-closing related operation time t 1 ；
Step8, calculating the post-closing related operation time t 2 ；
Step9, switch lockout control signal S 0 Without S 0 Time-locked signal S 3 ；
Step10, delay, t 1 Difference signal S between closing action time 4 Delay, delay time t 1 The difference from the closing action time, outputs a signal S 5 ；
Step11, delay, S 5 Delay t 2 Output signal S 6 ；
Step12, output the first-closing related control signal S of the vacuum switch 7 ；
Step13, output the vacuum switch post-closing related control signal S 8 。
The method for calculating the switching-on time of the residual magnetic flux and the exciting inrush current suppression device corresponding to the three phases specifically comprises the following steps:
recording the last time of switching-off the transformer 0 Residual magnetic flux phi in AB phase iron core column r1 The method comprises the following steps:
Φ m is the steady state flux amplitude, ω is the angular frequency;
magnetic flux Φ of AB phase coil in core limb in stable state AB (t) satisfying an integral relationship with the applied voltage,
the steady state flux forms a three-phase symmetric system, so the internal phase flux in the other two core legs is defined as:
when the expected magnetic flux is equal to the residual magnetic flux, the time t of the input of the AB phase is the optimal closing time 1 ：
Φ t1 ＝Φ r1 (5)
From t 1 From moment to moment, the BC and CA phase magnetic fluxes enter a transient process, and the magnetic flux expression is as follows:
alpha and beta represent the symmetric coefficient of the iron core, tau is a time constant and is determined by the inductance and the resistance of the loop, and the transient magnetic flux phi 0BC And phi is 0CA The calculation process is as follows:
Φ r2 、Φ r3 represents AB-related t 1 The residual magnetic fluxes of BC and CA phases at the time are:
Φ BC (t 1 )＝Φ r2 (9)
Φ CA (t 1 )＝Φ r3 (10)
to obtain phi r2 、Φ r3 And t 1 Substituting the formula (11) and the formula (12) to obtain a constant phi 0BC And phi is 0CA ，
Φ 0BC ＝Φ r2 +αΦ r1 (11)
Φ 0CA ＝Φ r3 +βΦ r1 (12)
The same BC and CA phases satisfy the desired flux and transient flux equality moment as the optimal closing moment, namely:
Φ BC (t 2 )＝Φ BC (t 1 ) (13)
Φ CA (t 2 )＝Φ CA (t 1 ) (14)
due to the time difference t of the front and rear closing 2 -t 1 Much smaller than the time constant τ, there is
Solving to obtain the correlation time t of BC and CA 2 ：
Compared with the prior art, the invention has the following beneficial effects:
the invention provides an integrated device and method for inhibiting the excitation surge current of a transformer, which are used for limiting the excitation surge current, eliminating protection misoperation, improving the electric energy quality and improving the operation reliability of equipment and a power grid on the premise of not reducing the working magnetic flux of the transformer and not changing the performance and the working mode of the conventional circuit breaker.
Drawings
The invention will be further described with reference to the accompanying drawings and examples, in which:
fig. 1 is an application connection schematic diagram of a 110kV transformer excitation surge suppression device in an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a fast switch of a 110kV transformer excitation surge suppressing device in an embodiment of the present invention;
fig. 3 is a schematic structural diagram of a controller of a 110kV transformer excitation surge suppression device in an embodiment of the present invention;
fig. 4 is a schematic flow chart of a method for suppressing magnetizing inrush current of a 110kV transformer in an embodiment of the invention.
Detailed Description
The present invention will be described in further detail with reference to the drawings and examples, in order to make the objects, technical solutions and advantages of the present invention more apparent.
Aiming at the problem of the excitation surge current of the transformer, the invention adopts a phase control switching method to inhibit the switching surge current. As shown in fig. 1, the invention provides a 110kV transformer excitation surge suppression device, which comprises a fast switch (KK) and a Controller System (CS), wherein the fast switch is connected between a high-voltage side of the 110kV transformer and an isolating switch, and the controller system controls the opening and closing operation of the fast switch.
At present, most of breaker switches adopted in power systems are SF 6 The circuit breaker has long stroke and large closing work, and the operating mechanism is mainly a spring mechanism or liquidThe pressure mechanism has typical closing time of 60-80 ms, is easily influenced by factors such as pressure, ambient temperature, pre-breakdown and the like, has large operation dispersity, and is difficult to meet the accurate opening and closing requirement due to the dispersity of the switching closing time of a switch at a preset or calculated optimal closing angle. In order to solve the problems of switching-on and switching-off time and dispersibility of the switch, the invention adopts the vacuum switch driven by the rapid repulsive force mechanism to realize the switching-on and switching-off operation of the transformer. As shown in fig. 2, the fast switch is formed by connecting two fast switch units in series, the fast switch unit is formed by connecting a capacitor and a switch in parallel, the rated voltage of the fast switch is 110kV, the current is 40kA, and the system access standard is met; the opening time is less than 1.2ms, the dispersity is less than +/-0.1 ms, and the opening angle error is less than that of the opening angle<3.6 degrees, closing time less than 15ms, dispersity less than +/-0.2 ms, and closing angle error<7.2 degrees, and meets the requirements of time and dispersity of excitation surge current for restraining switching on and off. Meanwhile, the voltage-sharing capacitor is used for balancing the voltage distribution condition of the two rapid switching units, the capacitance value of the voltage-sharing capacitor is 100nF, and a good voltage-sharing effect can be achieved.
The control system is very critical to the excitation surge suppression device adopting phase control switching. As shown in fig. 3, the control system consists of a power supply circuit, a signal conditioning circuit, an internal trigger circuit, an AD conversion and FPGA acquisition control circuit, an ARM calculation control circuit and a vacuum switch opening and closing control circuit; the AD conversion and FPGA acquisition control circuit is formed by connecting an AD conversion control circuit with an FPGA acquisition control circuit; the input end of the signal conditioning circuit is connected with a voltage input signal, the output end of the signal conditioning circuit is respectively connected with the input ends of the internal trigger circuit and the AD conversion control circuit, the output end of the internal trigger circuit is connected with the FPGA acquisition control circuit, the ARM calculation control circuit is connected with the FPGA acquisition control circuit, and the vacuum switch opening and closing control circuit is connected with the ARM calculation control circuit. The vacuum switch opening and closing control circuit comprises a vacuum switch opening and closing control circuit and a vacuum switch closing control circuit, wherein the vacuum switch opening and closing control circuit and the vacuum switch closing control circuit are respectively connected with an ARM calculation control circuit, the vacuum switch opening and closing control circuit and the vacuum switch closing control circuit are respectively provided with a power solid-state relay, and an IO buffer circuit is connected between the power solid-state relay and the ARM calculation control circuit.
The power supply circuit mainly supplies power to the analog circuit, the digital circuit and the IO control circuit in the hardware unit. The signal conditioning circuit realizes the functions of attenuation, offset, impedance transformation, low-pass filtering and the like of an external input signal. The internal trigger circuit is composed of a reference voltage comparator and a high-speed voltage comparator, and mainly completes the zero-crossing start acquisition or preset voltage start acquisition function of the 50Hz alternating current signal. The AD conversion and FPGA acquisition control circuit mainly completes the work of acquisition, processing, buffering and the like of a double-channel analog signal, adopts a single-chip ADI 12-bit synchronous AD conversion chip, adopts a variable low-jitter differential clock as a conversion clock, adopts an ALTERA high-end low-power-consumption industrial-level high-performance cyclic-V series FPGA as an acquisition control processing controller, and has external hardware triggering and software triggering control functions. The ARM calculation control circuit mainly completes the functions of external voltage signal acquisition, digital filters, algorithm calculation analysis, vacuum switch opening and closing control and the like, an industrial-level high-performance low-power-consumption embedded controller of an ST-method semiconductor latest ARMV7 kernel architecture is selected as a main controller, main frequency 216M is communicated with an FPGA, and data exchange is mainly carried out through an external parallel data bus of the ARM controller, and control bus is completed and a FIFO interface of the FPGA unit.
The control system mainly realizes the switching-on and switching-off operation control of the vacuum switch. The control signal is output by the ARM computer control unit, a special IO buffer circuit is designed to improve the voltage and current output capacity of the control signal, and the power solid-state relay in the vacuum switch opening and closing control circuit is ensured to be reliably triggered and controlled.
The invention also provides a 110kV transformer excitation surge current suppression method, which adopts a phase-selecting and switching-on technology to switch on an empty-load transformer, and the switching-on time of the 110kV transformer excitation surge current suppression device is controlled by phase separation, so that the transformer is put into the transformer when the pre-induction magnetic flux is equal to the existing magnetic flux in the iron core.
The method comprises the steps that when the switch is closed, the front two phases are closed at first, and the closing condition meets the requirement that expected magnetic flux generated by interphase voltage of the front two phases in the iron core is equal to residual magnetic flux of the interphase voltage of the front two phases; and after the third phase is closed, the closing condition meets the condition that the dynamic magnetic flux generated by the third phase in the iron core is equal to the expected magnetic flux.
As shown in fig. 4, the method for suppressing the magnetizing inrush current of the 110kV transformer specifically includes the following steps:
step1, a voltage acquisition module determines an input voltage U;
step2, adjust the signal to generate a sinusoidal reference signal U 12 ；
Step3, determining the residual magnetic flux Φ in the core limb r1 、Φ r2 ；
Step4, zero point identification, and a sinusoidal signal U 12 Into square wave S 1 ；
Step5, differentiating to generate a signal S containing pulses 2 And S is connected with 1 The rising and falling slopes of (2) are consistent;
step6, rectifying to generate a product containing only S 2 Positive pulse signal S of (1) 3 ；
Step7, calculating the first-closing related operation time t 1 ；
Step8, calculating the post-closing related operation time t 2 ；
Step9, switch lockout control signal S 0 Without S 0 Time-locked signal S 3 ；
Step10, delay, t 1 Difference signal S between closing action time 4 Delay, delay time t 1 The difference from the closing action time, outputs a signal S 5 ；
Step11, delay, S 5 Delay t 2 Output signal S 6 ；
Step12, output the first-closing related control signal S of the vacuum switch 7 ；
Step13, output the vacuum switch post-closing related control signal S 8 。
The method for calculating the switching-on time of the residual magnetic flux and the exciting inrush current suppression device corresponding to the three phases specifically comprises the following steps:
recording the last time of switching-off the transformer 0 Residual magnetic flux phi in AB phase iron core column r1 The method comprises the following steps:
Φ m is the steady state flux amplitude, ω is the angular frequency;
magnetic flux Φ of AB phase coil in core limb in stable state AB (t) satisfying an integral relationship with the applied voltage,
the steady state flux forms a three-phase symmetric system, so the internal phase flux in the other two core legs is defined as:
when the expected magnetic flux is equal to the residual magnetic flux, the time t of the input of the AB phase is the optimal closing time 1 ：
Φ t1 ＝Φ r1 (5)
From time t, the BC and CA phase magnetic fluxes enter a transient process, and the magnetic flux expression is as follows:
alpha and beta represent the symmetric coefficient of the iron core, tau is a time constant and is determined by the inductance and the resistance of the loop, and the transient magnetic flux phi 0BC And phi is 0CA The calculation process is as follows:
Φ r2 、Φ r3 represents AB-related t 1 The residual magnetic fluxes of BC and CA phases at the time are:
Φ BC (t 1 )＝Φ r2 (9)
Φ CA (t 1 )＝Φ r3 (10)
to obtain phi r2 、Φ r3 And t 1 Substituting the formula (11) and the formula (12) to obtain a constant phi 0BC And phi is 0CA ，
Φ 0BC ＝Φ r2 +αΦ r1 (11)
Φ 0CA ＝Φ r3 +βΦ r1 (12)
The same BC and CA phases satisfy the desired flux and transient flux equality moment as the optimal closing moment, namely:
Φ BC (t 2 )＝Φ BC (t 1 ) (13)
Φ CA (t 2 )＝Φ CA (t 1 ) (14)
due to the time difference t of the front and rear closing 2 -t 1 Much smaller than the time constant τ, there is
Solving to obtain the correlation time t of BC and CA 2 ：
The present invention is illustrated by way of example and not limitation in the figures of the accompanying drawings, which are intended to be illustrative and not restrictive, and many changes may be made by those of ordinary skill in the art without departing from the spirit of the invention and the scope of the appended claims.
Claims (5)
1. The excitation surge current suppression device for the 110kV transformer is characterized by comprising a fast switch and a controller system, wherein the fast switch is connected between the high-voltage side of the 110kV transformer and an isolating switch, the controller system controls the opening and closing operation of the fast switch, and the fast switch is formed by connecting two fast switch units in series; the rapid switching unit is formed by connecting a capacitor and a switch in parallel, rated voltage of the rapid switching unit is 110kV, switching-off current is 40kA, switching-off time is less than 1.2ms, switching-off dispersity is less than +/-0.1 ms, switching-off angle error is less than 3.6 degrees, switching-on time is less than 15ms, switching-on dispersity is less than +/-0.2 ms, and switching-on angle error is less than 7.2 degrees; the capacitance value of the capacitor is 100nF; the controller system consists of a power supply circuit, a signal conditioning circuit, an internal trigger circuit, an AD conversion and FPGA acquisition control circuit, an ARM calculation control circuit and a vacuum switch opening and closing control circuit; the power supply circuit is used for supplying power to the analog circuit, the digital circuit and the IO control circuit in the hardware unit; the AD conversion and FPGA acquisition control circuit is formed by connecting an AD conversion control circuit with an FPGA acquisition control circuit; the input end of the signal conditioning circuit is connected with a voltage input signal, the output end of the signal conditioning circuit is respectively connected with the input ends of the internal trigger circuit and the AD conversion control circuit, the output end of the internal trigger circuit is connected with the FPGA acquisition control circuit, the ARM calculation control circuit is connected with the FPGA acquisition control circuit, and the vacuum switch opening and closing control circuit is connected with the ARM calculation control circuit; the vacuum switch opening and closing control circuit comprises a vacuum switch opening control circuit and a vacuum switch closing control circuit, wherein the vacuum switch opening control circuit and the vacuum switch closing control circuit are respectively connected with an ARM calculation control circuit, the vacuum switch opening control circuit and the vacuum switch closing control circuit are respectively provided with a power solid-state relay, and an IO buffer circuit is connected between the power solid-state relay and the ARM calculation control circuit;
the internal trigger circuit consists of a reference voltage comparator and a high-speed voltage comparator, and completes the zero-crossing start acquisition or preset voltage start acquisition function of the 50Hz alternating current signal.
2. A110 kV transformer excitation surge current suppression method is characterized in that a phase selection switching technology is adopted to switch on an empty-load transformer, the switching-on time of the 110kV transformer excitation surge current suppression device in claim 1 is controlled through phase separation, and the transformer is put into the state that pre-induction magnetic flux is equal to existing magnetic flux in a core.
3. The method for suppressing magnetizing inrush current of 110kV transformer according to claim 2, wherein during closing, the first two phases are first closed, and the closing condition is that an expected magnetic flux generated by the interphase voltage of the first two phases at the core is equal to a residual magnetic flux thereof; and after the third phase is closed, the closing condition meets the condition that the dynamic magnetic flux generated by the third phase in the iron core is equal to the expected magnetic flux.
4. A 110kV transformer magnetizing inrush current suppression method according to claim 2 or 3, comprising the steps of:
step1, the voltage acquisition module determines an input voltage；
Step2, adjusting the signal to generate a sinusoidal reference signal；
Step3, determining residual magnetic flux in the core limb、/>；
Step4, zero point identification, sinusoidal reference signalBecome square wave +.>；
Step5, differentiating to generate a signal containing pulsesAnd->The rising and falling slopes of (2) are consistent;
step6, rectifying to generate a product containing onlyPositive pulse signal>；
Step7, calculating the first and second operation time；
Step8, calculating the post-closing related operation time；
Step9, switch lockout control signalDo not have->Time blocking signal->；
Step10, time delay,difference signal from closing action time +.>Delay, delay time->Difference from closing action time, output signal +.>；
Step11, time delay,delay->Output signal->；
Step12, output the first-closing related control signal of the vacuum switch；
Step13, outputting a vacuum switch post-closing related control signal。
5. The method for suppressing excitation surge current of 110kV transformer according to claim 4, wherein a last time the transformer was disconnected is recordedResidual magnetic flux in AB phase iron core column>The method comprises the following steps:
（1）
is steady state magnetic flux amplitude>Is angular frequency;
magnetic flux of AB phase coil in core limb in stable stateWith the applied voltage satisfying the integral relationship,
（2）
the steady state flux forms a three-phase symmetric system, so the internal phase flux in the other two core legs is defined as:
（3）
（4）
the time when the AB phase is put in when the expected magnetic flux is equal to the residual magnetic flux：
（5）
（6）
From the slaveFrom moment to moment, the BC and CA phase magnetic fluxes enter a transient process, and the magnetic flux expression is as follows:
（7）
（8）
、/>representing the symmetry coefficient of the core->Is a time constant, determined by the inductance and resistance of the loop, transient magnetic flux +.>And->The calculation process is as follows:
、/>represents AB-related +.>The residual magnetic fluxes of BC and CA phases at the time are:
（9）
（10）
will be solved for、/>And->Substituting formula (11) and formula (12) to obtain the constant +.>And->，
（11）
（12）
The same BC and CA phases satisfy the desired flux and transient flux equality moment as the optimal closing moment, namely:
（13）
（14）
due to the time difference of closing before and afterFar less than the time constant +.>Then there is
（15）
Solving to obtain the related moment of BC and CA：
（16）。
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| CN111600295B (en) * | 2019-08-09 | 2023-08-08 | 青岛鼎信通讯股份有限公司 | Power frequency transformer excitation surge suppression strategy applied to controllable inversion |
| CN110501590A (en) * | 2019-08-13 | 2019-11-26 | 山东电力设备有限公司 | Magnetizing inrush current suppression device, the system and method for for transformer idle-loaded switching-on |
| CN110988469B (en) * | 2019-11-14 | 2021-03-16 | 中国矿业大学 | Rapid harmonic detection method |
| CN110994551A (en) * | 2019-11-26 | 2020-04-10 | 国网宁夏电力有限公司电力科学研究院 | Excitation inrush current suppression device and method for transformer |
| CN111884204B (en) * | 2020-06-12 | 2021-12-10 | 武汉天富海科技发展有限公司 | Phase selection switching control method of non-contact regulation voltage stabilizing device |
| CN113937731A (en) * | 2021-09-29 | 2022-01-14 | 南京钢铁股份有限公司 | Method for restraining magnetizing inrush current of transformer |
| CN114389469B (en) * | 2021-12-02 | 2022-11-04 | 中国大唐集团科学技术研究院有限公司火力发电技术研究院 | Power converter performance optimization method and system |
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