CN106249024B - Transmission line of electricity voltage measurement method based on D dot electric-field sensors - Google Patents
Transmission line of electricity voltage measurement method based on D dot electric-field sensors Download PDFInfo
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- CN106249024B CN106249024B CN201610569097.7A CN201610569097A CN106249024B CN 106249024 B CN106249024 B CN 106249024B CN 201610569097 A CN201610569097 A CN 201610569097A CN 106249024 B CN106249024 B CN 106249024B
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R19/00—Arrangements for measuring currents or voltages or for indicating presence or sign thereof
- G01R19/0084—Arrangements for measuring currents or voltages or for indicating presence or sign thereof measuring voltage only
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R29/00—Arrangements for measuring or indicating electric quantities not covered by groups G01R19/00 - G01R27/00
- G01R29/12—Measuring electrostatic fields or voltage-potential
Abstract
A kind of transmission line of electricity voltage measurement method based on D dot electric-field sensors provided by the invention, including：Reference point is selected in transmission line of electricity surrounding environment, reference point is defined as path of integration to the vertical range between transmission line of electricity；Multiple D dot electric-field sensors are arranged on path of integration and detect the electric field value on path of integration；ByThe voltage of computing electric power line；By this method, the influence of environmental factor can be effectively reduced in measurement process, accurate measurement can be carried out to the voltage of transmission line of electricity, accurate Voltage Reference parameter is provided for the safe and stable operation of power system.
Description
Technical field
The present invention relates to a kind of voltage measurement method, more particularly to a kind of transmission line of electricity based on D-dot electric-field sensors
Voltage measurement method.
Background technology
In power system, the voltage measurement for transmission line of electricity is in relay protection, overvoltage protection and on-line monitoring etc.
All it is particularly important parameter in control field, its accuracy measured, reliability are power grid security, the guarantee of stable operation.
With the continuous development of power network, for example, the factor such as transmission capacity gradually increases, raising of voltage class, traditional electricity
Pressure measuring device, for example electromagnetic potential sensor, capacitive battery pressure sensor and be difficult to meet required precision, it is impossible to it is
The work of power system provides accurate parameter and instructed；As technology develops, gradually propose contactless D-dot voltages and pass
Sensor, although this voltage sensor increases in precision than with above-mentioned voltage sensor in precision, exist
Following shortcoming：Data difficulty in computation is big, it is difficult to and it is accurate to solve, and also its measurement accuracy is easily effected by environmental factors,
That is, when measuring environment deteriorates, D-dot voltage sensors are then difficult to measure.
It is, therefore, desirable to provide a kind of measurement means of new transmission line of electricity are to solve above-mentioned technical problem.
The content of the invention
In view of this, it is an object of the invention to provide a kind of transmission line of electricity voltage measurement based on D-dot electric-field sensors
Method, the influence of environmental factor can be effectively reduced in measurement process, accurate measurement can be carried out to the voltage of transmission line of electricity,
Accurate Voltage Reference parameter is provided for the safe and stable operation of power system.
A kind of transmission line of electricity voltage measurement method based on D-dot electric-field sensors provided by the invention, including：
Reference point is selected in transmission line of electricity surrounding environment, reference point is defined as to the vertical range between transmission line of electricity
Path of integration；
Multiple D-dot electric-field sensors are arranged on path of integration and detect the electric field value on path of integration；
ByThe voltage of computing electric power line.
Further, it is reference point to select the earth below transmission line of electricity, and transmission line of electricity downward vertical is in the path of the earth
For path of integration；And D-dot electric-field sensors are arranged as follows：
By transmission line of electricity to the earth direction, the arrangement density of D-dot electric-field sensors gradually increases.
Further, in computing electric power line voltage, the measurement angle of adjustment D-dot electric-field sensors measures；
Judge each D-dot electric-field sensors survey electric field value standard deviation whether be respectively less than setting value, in this way, in current D-
Under the measuring condition of dot electric-field sensors, multigroup electric field Value Data is recorded as integration foundation；
By each group of electric field value by numerical integration interative computation, the iterations and step of Numerical Integral Formulas are adjusted
It is long, one group of minimum electric field value of error is determined, by the electric field value computing electric power line voltage that error is minimum.
Further, the D-dot electric-field sensors manufacture the electric-field sensor of acquisition with the following method：
S1. the parameter of transmission line of electricity is obtained, power transmission line Electric Field Distribution model is established, obtains the distribution of power transmission line surrounding electric field
Situation；
S2. the design parameter of design object D-dot electric-field sensors is obtained, electric-field sensor model is established, electric field is passed
Sensor model is updated in power transmission line Electric Field Distribution model；
S3. the field circuit method model and equivalent circuit of design object D-dot electric-field sensors and transmission line of electricity are established, and it is right
The transmission function of field circuit method equivalent circuit carries out simulation analysis calculating, draws the output of design object D-dot electric-field sensors
Parameter；
S4. the error of the output result of design object D-dot electric-field sensors and the output result of theoretical calculation is judged, such as
For error in setting range, current electric-field sensor model meets design requirement；If error is outside setting range, right
Design parameter optimizes adjustment, returns in S2.
Further, the transmission function of the field circuit method equivalent circuit is：
Wherein：
Cs1And Cs2The Top electrode of D-dot electric-field sensors respectively
With bottom electrode stray capacitance over the ground, Cm1、Cm2The Top electrode of respectively tested transmission pressure and D-dot electric fields and bottom electrode it is mutual
Electric capacity；RmFor the input impedance of the difference amplifier of D-dot electric-field sensors；Cm0Mutual electricity between Top electrode and bottom electrode
Hold,For the real-time voltage of transmission line of electricity, UO(s) it is the output voltage of D-dot electric-field sensors, i.e. input impedance RmBoth ends
Voltage.
Further, the Electric Field Distribution model of power transmission line is as follows：
The area of space of transmission line of electricity and D-dot electric-field sensors are subjected to boundary demarcation in the area of space：Draw
Be divided into the space field domain of transmission line of electricity, inside D-dot electric-field sensors and D-dot electric-field sensors and space field domain boundary
Face, wherein：
The space field domain Electric Field Distribution of transmission line of electricity：
D-dot electric-field sensors internal electric field is distributed：
J=γ E；
The interface Electric Field Distribution of D-dot electric-field sensors and space field domain：
A1=A2；
Wherein：ν is magnetic reluctance, and σ is the electrical conductivity of sensor electrode, and υ is penalty factor, n21For transmission line of electricity and electric field sensing
The normal vector of the interface of device；N12 is the normal vector on filled media interface；A is the vector of the space field domain of transmission line of electricity
Magnetic potential, A1 and A2 are respectively the vector magnetic potential between the interface of transmission line of electricity and D-dot electric-field sensors, and J is current density,
γ is the electrical conductivity of the filled media of D-dot electric-field sensors；For the electric scalar potential of electric-field sensor；E is electric-field intensity.
Further, field circuit method model is：
Wherein,For the integral coefficient of the integrating circuit of electric-field sensor；The output voltage of V (t) electric-field sensors,
U (t) is the integrating circuit output voltage of electric-field sensor；E is electric field strength；For the electric scalar potential of electric-field sensor, A is arrow
Magnetic potential is measured, Rm is the input impedance of the difference channel of electric-field sensor；AεqFor the equivalent area of the electrode of electric-field sensor.
Beneficial effects of the present invention：The transmission line of electricity voltage measurement method based on D-dot electric-field sensors of the present invention,
The influence of environmental factor can be effectively reduced in measurement process, accurate measurement can be carried out to the voltage of transmission line of electricity, be electric power
The safe and stable operation of system provides accurate Voltage Reference parameter.
Brief description of the drawings
The invention will be further described with reference to the accompanying drawings and examples：
Fig. 1 is the flow chart of the present invention.
Fig. 2 is the measuring principle figure of the present invention.
Fig. 3 is the boundary demarcation schematic diagram of the present invention.
Fig. 4 is the electric-field sensor output equivalent circuit of the present invention.
Fig. 5 is the integrating circuit equivalent circuit of the present invention.
Fig. 6 is equivalent circuit diagram of the electric-field sensor with transmission line of electricity field coupling of the present invention.
Fig. 7 is the arrangement schematic diagram of the D-dot electric-field sensors of the present invention.
Fig. 8 is the different path measurements result schematic diagram of the present invention.
Embodiment
The present invention will be further elaborated below and explanation：
A kind of transmission line of electricity voltage measurement method based on D-dot electric-field sensors provided by the invention, including：
Reference point is selected in transmission line of electricity surrounding environment, reference point is defined as to the vertical range between transmission line of electricity
Path of integration；
Multiple D-dot electric-field sensors are arranged on path of integration and detect the electric field value on path of integration；
ByThe voltage of computing electric power line；By this method, ring can be effectively reduced in measurement process
The influence of border factor, accurate measurement can be carried out to the voltage of transmission line of electricity, standard is provided for the safe and stable operation of power system
True Voltage Reference parameter.
In the present embodiment, it is reference point to select the earth below transmission line of electricity, and transmission line of electricity downward vertical is in the earth
Path is path of integration, and Fig. 2 is that the space electric field of three phase line is, by taking the voltage measurement of B phase transmission lines of electricity as an example, in figure
Dotted line represent Electric Field Distribution region, Fig. 8 represents B phases transmission line of electricity B phases transmission line of electricity under conditions of different path of integration
Current potentialAs can be seen from Figure 8, which kind of path no matter is chosen, distribution curve of the electric-field intensity along path of integration and X-axis,
It is equal that Y-axis surrounds area, that is to say, that and result of calculation is unrelated with path of integration, still, in order to simplify calculating process, therefore,
Selection transmission line of electricity downward vertical is path of integration in the path of the earth；And D-dot electric-field sensors are arranged as follows：
By transmission line of electricity to the earth direction, the arrangement density of D-dot electric-field sensors gradually increases, D- as shown in Figure 7
The arrangement schematic diagram of dot electric-field sensors, it is dry by the external world because the position electric field further away from transmission line of electricity is smaller, and easily
Disturb, therefore, by the above-mentioned means, to the accurate measurement of the electric-field intensity of selected path of integration survey can either be reduced again
Cost is measured, in order to ensure the security of measurement, starts to prevent electric-field sensor, phase at the lower section 1.8-2.8 rice of transmission line of electricity
The distance between adjacent electric-field sensor is 30-50cm, to ensure measurement accuracy.
In the present embodiment, in computing electric power line voltage, the measurement angle of adjustment D-dot electric-field sensors is surveyed
Amount；
Judge each D-dot electric-field sensors survey electric field value standard deviation whether be respectively less than setting value, in this way, in current D-
Under the measuring condition of dot electric-field sensors, multigroup electric field Value Data is recorded as integration foundation；
By each group of electric field value by numerical integration interative computation, the iterations and step of Numerical Integral Formulas are adjusted
It is long, one group of minimum electric field value of error is determined, by the electric field value computing electric power line voltage that error is minimum, by this method,
The accuracy of voltage measurement can be effectively improved, so as to accurately instruct the work of power system, it is ensured that power system security, stably
Operation, wherein, numerical integration interative computation is existing algorithm, and not in this to go forth.
In the present embodiment, the D-dot electric-field sensors manufacture the electric-field sensor of acquisition with the following method：
S1. the parameter of transmission line of electricity is obtained, power transmission line Electric Field Distribution model is established, obtains the distribution of power transmission line surrounding electric field
Situation；Wherein, the parameter of transmission line of electricity includes：The parameter of transmission line of electricity include transmission line of electricity voltage class, transmission current and
The phase voltage of each phase；The present invention carries out building for power transmission line Electric Field Distribution model by finite element analysis software Ansoft Maxwell
It is vertical, improve computational efficiency；During D-dot electric-field sensors are manufactured, the transmission line of electricity of transmission line of electricity and voltage measurement is
Different；
S2. the design parameter of design object D-dot electric-field sensors is obtained, electric-field sensor model is established, electric field is passed
Sensor model is updated in power transmission line Electric Field Distribution model；
S3. the field circuit method model and equivalent circuit of design object D-dot electric-field sensors and transmission line of electricity are established, and it is right
The transmission function of field circuit method equivalent circuit carries out simulation analysis calculating, draws the output of design object D-dot electric-field sensors
Parameter；The electrode shape of the design parameter of target D-dot electric-field sensors including electric-field sensor, electrode size, electrode material,
Insulating dielectric materials, electrode spacing and electrode induction area.
S4. the error of the output result of design object D-dot electric-field sensors and the output result of theoretical calculation is judged, such as
For error in setting range, current electric-field sensor model meets design requirement, and electric-field sensor is manufactured according to parameter current；
If error outside setting range, adjustment is optimized to design parameter, is returned in S2；Manufacture in this way
Electric-field sensor, measurement accuracy is high, can ensure the precision in the voltage measurement of transmission line of electricity calculates.
In the present embodiment, the transmission function of the field circuit method equivalent circuit is：
Wherein：
Cs1And Cs2The upper electricity of D-dot electric-field sensors respectively
Pole and bottom electrode stray capacitance over the ground, Cm1、Cm2The Top electrode of respectively tested transmission pressure and D-dot electric fields and bottom electrode
Mutual capacitance；RmFor the input impedance of the difference amplifier of D-dot electric-field sensors；Cm0Mutual electricity between Top electrode and bottom electrode
Hold,For the real-time voltage of transmission line of electricity, UO(s) it is the output voltage of D-dot electric-field sensors, i.e. input impedance RmBoth ends
Voltage.
In the present embodiment, the Electric Field Distribution model of power transmission line is as follows：
The area of space of transmission line of electricity and D-dot electric-field sensors are subjected to boundary demarcation in the area of space：Draw
Be divided into the space field domain of transmission line of electricity, inside D-dot electric-field sensors and D-dot electric-field sensors and space field domain boundary
Face, wherein：
The space field domain Electric Field Distribution of transmission line of electricity：
D-dot electric-field sensors internal electric field is distributed：
J=γ E；
The interface Electric Field Distribution of D-dot electric-field sensors and space field domain：
A1=A2；
Wherein：ν is magnetic reluctance, and σ is the electrical conductivity of sensor electrode, and υ is penalty factor, n21For transmission line of electricity and electric field sensing
The normal vector of the interface of device；N12 is the normal vector on filled media interface；A is the vector of the space field domain of transmission line of electricity
Magnetic potential, A1 and A2 are respectively the vector magnetic potential between the interface of transmission line of electricity and D-dot electric-field sensors, and J is current density,
γ is the electrical conductivity of the filled media of D-dot electric-field sensors；For the electric scalar potential of electric-field sensor；E is electric-field intensity.
In the present embodiment, field circuit method model is：
Wherein,For the integral coefficient of the integrating circuit of electric-field sensor；The output voltage of V (t) electric-field sensors, U
(t) it is the integrating circuit output voltage of electric-field sensor；E is electric field strength；For the electric scalar potential of electric-field sensor, A is arrow
Magnetic potential is measured, Rm is the input impedance of the difference channel of electric-field sensor；AεqFor the equivalent area of the electrode of electric-field sensor.
Finally illustrate, the above embodiments are merely illustrative of the technical solutions of the present invention and it is unrestricted, although with reference to compared with
The present invention is described in detail good embodiment, it will be understood by those within the art that, can be to the skill of the present invention
Art scheme is modified or equivalent substitution, and without departing from the objective and scope of technical solution of the present invention, it all should cover at this
Among the right of invention.
Claims (6)
- A kind of 1. transmission line of electricity voltage measurement method based on D-dot electric-field sensors, it is characterised in that：Including：Reference point is selected in transmission line of electricity surrounding environment, reference point is defined as integrating to the vertical range between transmission line of electricity Path；Multiple D-dot electric-field sensors are arranged on path of integration and detect the electric field value on path of integration；ByThe voltage of computing electric power line；In computing electric power line voltage, the measurement angle of adjustment D-dot electric-field sensors measures；Judge each D-dot electric-field sensors survey electric field value standard deviation whether be respectively less than setting value, in this way, in current D-dot Under the measuring condition of electric-field sensor, multigroup electric field Value Data is recorded as integration foundation；By each group of electric field value by numerical integration interative computation, the iterations and step-length of Numerical Integral Formulas are adjusted, One group of minimum electric field value of error is determined, by the electric field value computing electric power line voltage that error is minimum.
- 2. the transmission line of electricity voltage measurement method based on D-dot electric-field sensors according to claim 1, it is characterised in that： The earth below selection transmission line of electricity is reference point, and transmission line of electricity downward vertical in the path of the earth be path of integration；And D- Dot electric-field sensors are arranged as follows：By transmission line of electricity to the earth direction, the arrangement density of D-dot electric-field sensors gradually increases.
- 3. the transmission line of electricity voltage measurement side based on D-dot electric-field sensors according to claim 1-2 any claims Method, it is characterised in that：The D-dot electric-field sensors manufacture the electric-field sensor of acquisition with the following method：S1. the parameter of transmission line of electricity is obtained, power transmission line Electric Field Distribution model is established, obtains the distribution shape of power transmission line surrounding electric field Condition；S2. the design parameter of design object D-dot electric-field sensors is obtained, electric-field sensor model is established, by electric-field sensor Model is updated in power transmission line Electric Field Distribution model；S3. the field circuit method model and equivalent circuit of design object D-dot electric-field sensors and transmission line of electricity, Bing Duichang roads are established The transmission function for coupling equivalent circuit carries out simulation analysis calculating, draws the output parameter of design object D-dot electric-field sensors；S4. the error of the output result of design object D-dot electric-field sensors and the output result of theoretical calculation, such as error are judged In setting range, current electric-field sensor model meets design requirement；If error is outside setting range, to design Parameter optimizes adjustment, returns in S2.
- 4. the transmission line of electricity voltage measurement method based on D-dot electric-field sensors according to claim 3, it is characterised in that： The transmission function of the field circuit method equivalent circuit is：Wherein：<mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>C</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <msub> <mi>C</mi> <mrow> <mi>s</mi> <mn>2</mn> </mrow> </msub> <mo>-</mo> <msub> <mi>C</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <msub> <mi>C</mi> <mrow> <mi>s</mi> <mn>1</mn> </mrow> </msub> </mrow> <mrow> <msub> <mi>C</mi> <mrow> <mi>m</mi> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>m</mi> <mn>2</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>s</mi> <mn>1</mn> </mrow> </msub> <mo>+</mo> <msub> <mi>C</mi> <mrow> <mi>s</mi> <mn>1</mn> </mrow> </msub> </mrow> </mfrac> <mo>;</mo> </mrow>Cs1And Cs2The respectively Top electrode and bottom electrode pair of D-dot electric-field sensors Ground stray capacitance, Cm1、Cm2Respectively tested transmission pressure and the mutual capacitance of the Top electrode, bottom electrode of D-dot electric fields；RmFor D- The input impedance of the difference amplifier of dot electric-field sensors；Cm0Mutual capacitance between Top electrode and bottom electrode,To be defeated The real-time voltage of electric line, UO(s) it is the output voltage of D-dot electric-field sensors.
- 5. the transmission line of electricity voltage measurement method based on D-dot electric-field sensors according to claim 3, it is characterised in that：The Electric Field Distribution model of power transmission line is as follows：The area of space of transmission line of electricity and D-dot electric-field sensors are subjected to boundary demarcation in the area of space：It is divided into Space field domain, D-dot electric-field sensors inside and the interface of D-dot electric-field sensors and space field domain of transmission line of electricity, Wherein：The space field domain Electric Field Distribution of transmission line of electricity：D-dot electric-field sensors internal electric field is distributed：<mrow> <mo>&dtri;</mo> <mo>&times;</mo> <mi>v</mi> <mo>&dtri;</mo> <mo>&times;</mo> <mi>A</mi> <mo>-</mo> <mo>&dtri;</mo> <mrow> <mo>(</mo> <mi>&upsi;</mi> <mo>&dtri;</mo> <mo>&times;</mo> <mi>A</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>J</mi> </mrow>J=γ E；The interface Electric Field Distribution of D-dot electric-field sensors and space field domain：<mrow> <msub> <mi>&upsi;</mi> <mn>1</mn> </msub> <mo>&dtri;</mo> <mo>&times;</mo> <msub> <mi>A</mi> <mn>1</mn> </msub> <mo>=</mo> <msub> <mi>&upsi;</mi> <mn>2</mn> </msub> <mo>&dtri;</mo> <mo>&times;</mo> <msub> <mi>A</mi> <mn>2</mn> </msub> </mrow><mrow> <msub> <mi>v</mi> <mn>1</mn> </msub> <mo>&dtri;</mo> <mo>&times;</mo> <msub> <mi>A</mi> <mn>1</mn> </msub> <mo>&times;</mo> <msub> <mi>n</mi> <mn>12</mn> </msub> <mo>=</mo> <mo>-</mo> <msub> <mi>v</mi> <mn>2</mn> </msub> <mo>&dtri;</mo> <mo>&times;</mo> <msub> <mi>A</mi> <mn>2</mn> </msub> <mo>&times;</mo> <msub> <mi>n</mi> <mn>21</mn> </msub> </mrow>A1=A2；Wherein：ν is magnetic reluctance, and σ is the electrical conductivity of sensor electrode, and υ is penalty factor, n21For transmission line of electricity and electric-field sensor The normal vector of interface；N12 is the normal vector on filled media interface；A is the vector magnetic potential of the space field domain of transmission line of electricity, A1 and A2 is respectively transmission line of electricity and the vector magnetic potential on the interface two sides of D-dot electric-field sensors, and J is current density, and γ is The electrical conductivity of the filled media of D-dot electric-field sensors；For the electric scalar potential of electric-field sensor；E is electric-field intensity.
- 6. the transmission line of electricity voltage measurement method based on D-dot electric-field sensors according to claim 3, it is characterised in that： Field circuit method model is：Wherein,For the integral coefficient of the integrating circuit of electric-field sensor；The output voltage of V (t) electric-field sensors, U (t) For the integrating circuit output voltage of electric-field sensor；E is electric field strength；For the electric scalar potential of electric-field sensor, A is power transmission line The vector magnetic potential of the space field domain on road, Rm are the input impedance of the difference amplifier of D-dot electric-field sensors；AεqFor electric field sensing The equivalent area of the electrode of device.
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| CN107037254B (en) * | 2017-01-23 | 2023-04-21 | 中国工程物理研究院应用电子学研究所 | D-dot probe for vacuum diode voltage measurement |
| CN107607772A (en) * | 2017-09-18 | 2018-01-19 | 重庆大学 | The phases line voltage detection method of transmission line of electricity based on Gauss integration |
| CN107656127A (en) * | 2017-09-18 | 2018-02-02 | 重庆大学 | The phases line voltage detection method of transmission line of electricity based on Gauss Legendre integration |
| CN108037376A (en) * | 2017-12-06 | 2018-05-15 | 国网山东省电力公司威海供电公司 | A kind of power distribution network cable connector electric field strength detection device |
| CN108333413B (en) * | 2018-02-12 | 2021-05-04 | 重庆大学 | Phase line voltage detection method of power transmission line based on Chebyshev integral |
| CN110308336B (en) * | 2019-07-04 | 2021-05-07 | 中国人民解放军63660部队 | Dielectric loaded D-dot electric field measuring sensor |
| CN111337732B (en) * | 2020-03-26 | 2021-08-20 | 清华大学 | Voltage measurement method based on electric field inversion |
| CN111650446B (en) * | 2020-06-05 | 2021-07-06 | 南方电网数字电网研究院有限公司 | Power parameter measuring method, system, device, computer equipment and storage medium |
| CN115718214B (en) * | 2022-11-16 | 2023-09-15 | 南方电网数字电网研究院有限公司 | Voltage measurement method and device |
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| CN103235170B (en) * | 2013-04-19 | 2015-05-20 | 重庆大学 | Differential D-dot voltage sensor |
| CN103760402B (en) * | 2014-01-22 | 2016-04-13 | 重庆大学 | Voltage compensating method is affected based on the threephase potential transformer of D_dot principle and three-phase |
| CN103810355B (en) * | 2014-03-12 | 2018-01-30 | 国家电网公司 | Transformer station's high-voltage switch gear field power frequency electric field three dimensional analysis method |
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