CN105486961B - DC power transmission line radio interference excitation function test method based on corona cage - Google Patents
DC power transmission line radio interference excitation function test method based on corona cage Download PDFInfo
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Abstract
The invention discloses a kind of DC power transmission line radio interference excitation function test method based on corona cage, calculate the long capacitance of unit of conducting wire in corona cage, distance determines that distance is equal to the position of the point of the measurement distance between transmission line of electricity around transmission line wire as distance is weighed between conducting wire in corona cage and cage wall;Based on Numerical Calculation of Electromagnetic Fields method, the voltage produced at various point locations is calculated, the voltage of these points is taken into average voltage;Power line conductive line voltage is subtracted each other with average voltage, obtains the equivalent voltage being applied in corona cage between conducting wire and corona cage;The high frequency voltage of conducting wire in corona cage is coupled to low-pressure end using coupled capacitor device, coupled voltages are measured using radio interference receiver;The radio interference excitation function of transmission line wire is obtained using coupled voltages.The radio interference excitation function that the present invention obtains in corona cage is used directly for actual track, without any amendment and converts into.
Description
Technical field
The present invention relates to technical field of high voltage, more particularly to a kind of DC power transmission line radio based on corona cage to do
Disturb excitation function test method.
Background technology
Key needed to be considered is asked when the corona loss of corona discharge and its reference is Transmission Line Design, construction and operation
One of topic.The root of corona loss is conductive line surfaces corona discharge caused by electric field strength is higher, study corona
Loss needs to monitor conducting wire voltage-to-ground and conductor corona discharge current at the same time, and most direct mode is opened on the circuit to put into operation
Open up observational study.Since corona discharge is influenced by factors such as season, weather, weather, height above sea level huge, carry out on the line
Research needs that by statistical process for many years affecting laws of the various factors to corona loss could be obtained, and obtained result is only
Suitable for tested conducting wire, given voltage;Also need to carry out on corresponding circuit in the case of under other conducting wires, other voltages
Repeating to study, human and material resources, time etc. expend huge, will to be built for future new line, due to no test object,
Validity Test can not be carried out.The means of another kind research corona loss are conducted a research on the experiment line segment that simulation is built, by
It is easier in simulation line segment restringing, change voltage, therefore the new line that will be built for future, can first it simulate
Carry out forecasting research on line segment, research cost substantially reduces.But the experiment of experiment line segment is also required to see by statistics for many years
It is still huge that survey could obtain the consumings such as affecting laws of the various factors such as season, weather, weather, height above sea level to corona loss, time
Greatly.Compared with actual track and experiment line segment test, corona cage, which has, invests that small, experimental condition controllability is strong, the test period is short,
The features such as without High-Voltage Experiment power supply, be the effective tool for studying corona problem.
In the research of alternating current circuit radio interference, conductive line surfaces maximum field intensity and power transmission line in corona cage are kept
Line conductor surface maximum field intensity is identical, then the corona pulse electric current of the two is identical, therefore can establish radio and do
Disturb the equivalent relation of test.But in DC corona research, this equivalent relation is simultaneously invalid, the research of Quebec, CAN water power
Institute (IREQ) research is found, is keeping the maximum nominal electric field strength of conductive line surfaces under the same conditions, the nothing of conducting wire in corona cage
Line electrical interference is bigger 8~15dB than the radio interference of transmission line of electricity.Other research institutions have also obtained similar conclusion.Last century
Late nineteen eighties, Japanese Yukio Nakano etc. propose a kind of measurement DC power transmission line radio based on corona cage and do
The method for disturbing excitation function, they point out that the equivalent condition that conducting wire is identical with actual track excitation function in corona cage should be led
Line surface maximum total electric field strength is identical rather than maximum nominal electric field strength is identical.But according to being at present widely accepted
For Kaptzov it is assumed that after conducting wire bloom, it is constant that the electric field strengths of conductive line surfaces will be maintained at bloom field strength, thus maximum is closed
It is not very suitable into the identical conduct equivalent condition of surface field intensity.
As it can be seen that the radio interference test equivalent method for establishing corona cage and transmission line of electricity is to study nothing using corona cage
The key of line electrical interference issues, but so far, the radio interference still without effective DC corona cage and transmission line of electricity
Test equivalent method.
The content of the invention
Shortcoming present in regarding to the issue above, the present invention provide it is a kind of based on the DC power transmission line of corona cage without
Line electrical interference excitation function test method.
To achieve the above object, the present invention provides a kind of DC power transmission line radio interference excitation function based on corona cage
Number test method, including:
Step 1: according to the unit that conducting wire in corona cage is calculated by experiment conducting wire parameter and arrangement, corona cage parameter
Long capacitance Cc;
Step 2: between conducting wire in corona cage and cage wall distance as weigh distance, determine around transmission line wire with it is defeated
Distance is equal to the position of the point of the measurement distance between electric line;
Step 3: Numerical Calculation of Electromagnetic Fields method is based on, the point position that computing electric power line conducting wire determines in step 2
Locate the voltage produced, the voltage of all the points position is taken into average voltage;
Step 4: power line conductive line voltage and the average voltage in step 3 are subtracted each other, obtain applying in corona cage
The equivalent voltage being added between conducting wire and corona cage;
Step 5: the equivalent voltage is applied between conducting wire and corona cage;
Step 6: the high frequency voltage of conducting wire in corona cage is coupled to low-pressure end using coupled capacitor device, radio is used
Disturb receiver measurement coupled voltages URIV;
Step 7: the long capacitance C of unit using conducting wire in corona cagec, coupled voltages URIVObtain the nothing of transmission line wire
Line electrical interference excitation function Γc。
As a further improvement on the present invention, the long capacitance C of the unitcCalculation formula be:
Cc=2 π ε0/ln(R/r)
In formula:R is corona cage radius, and r is wire radius, ε0For dielectric constant of air.
As a further improvement on the present invention, the step 3 includes:
Numerical Calculation of Electromagnetic Fields method is as follows:
Governing equation for corona discharge space Ion Flow Field is:
Poisson's equation
▽2Φ=- (ρ+-ρ-)/ε0 (1)
Ion flow equation
j+=ρ+(-k+▽Φ+W) (2)
j-=ρ-(-k-▽Φ-W) (3)
Current continuity equation
▽·j+=-R ρ+ρ-/e (4)
▽·j-=R ρ+ρ-/e (5)
Wherein R is negative ions recombination coefficient, and e is electron charge, and k is ionic mobility, and ф is scalar electric potential, and ρ is electricity
Lotus density, j are current density, and W is wind speed, ε0For dielectric constant of air;
For equation (1)~(5), FEM calculation space electric field is used based on (1), characteristic curve is used based on (2)~(5)
Method calculates distribution of space charge;Two calculating process alternately, initial value each other, until electric field convergence in distribution is to stabilization;With
Relative position in corona cage experiment between corona cage used and circuit is that foundation finds out same position around transmission line wire
Each point voltage, and calculate the average voltage of all the points position voltage.
As a further improvement on the present invention, radio interference excitation function ΓcCalculation formula be:
In formula, RMFor the build-out resistor of coupled capacitor device output terminal.
Compared with prior art, beneficial effects of the present invention are:
A kind of DC power transmission line radio interference excitation function test method based on corona cage disclosed by the invention, leads to
Cross and choose around transmission line of electricity away from the current potential between equidistant point between transmission line of electricity distance and conducting wire in corona cage and cage wall
Alive method is applied when difference is as the test of DC corona cage radio interference excitation function, ensure that corona cage and in power transmission line
Electric field distribution in road near conducting wire is identical, so as to establish radio interference excitation function and actual transmission line of electricity in corona cage
The equivalent method of radio interference excitation function,
The radio interference excitation function obtained in corona cage is used directly for actual track, without it is any amendment and
It is equivalent;
Since the voltage between DC corona cage and conducting wire is small relative to actual track voltage-to-ground, to testing power supply
Output voltage capability it is of less demanding;
Compared with direct current experimental line and actual track are tested, the corona cage testing time is short, can simulate season, weather,
The various factors such as weather, height above sea level influence, and greatly shorten research cycle.
Brief description of the drawings
Fig. 1 DC power transmission line radio interference excitation functions based on corona cage disclosed in an embodiment of the present invention
The flow chart of test method;
Fig. 2 a are the arrangement schematic diagram of reduced scale experimental system disclosed in an embodiment of the present invention;
Fig. 2 b are that corona cage disclosed in an embodiment of the present invention tests electrical connection diagram;
Fig. 3 is corona cage conducting wire disclosed in an embodiment of the present invention and reduced scale line conductor radio interference excitation function
Measurement result.
Embodiment
To make the purpose, technical scheme and advantage of the embodiment of the present invention clearer, below in conjunction with the embodiment of the present invention
In attached drawing, the technical solution in the embodiment of the present invention is clearly and completely described, it is clear that described embodiment is
The part of the embodiment of the present invention, instead of all the embodiments.Based on the embodiments of the present invention, ordinary skill people
Member's all other embodiments obtained on the premise of creative work is not made, belong to the scope of protection of the invention.
1-3 is described in further detail the present invention below in conjunction with the accompanying drawings:
The mechanism that the present invention is produced from corona current and radio interference, analyzes corona cage and transmission line of electricity is equivalent
Essence.With reference to the characteristics of DC corona radio interference, propose that a kind of DC power transmission line radio based on corona cage is done
Excitation function test method is disturbed, and contrived experiment is verified.Its basic principle is as follows:
Corona current be by conductor around charge movement sensing produce, in coaxial cylindrical electrode, electric charge q0With speed
Spend Vq0When=d ρ/dt are radially movable, the electric current i that generation is sensed on conductor is:
ρ is position of the electric charge relative to conducting wire in formula, and r is wire radius, distance of the R the earth image conductor away from electric charge.
Radio interference is the effect that corona current high frequency section produces, thus is mainly determined by electron motion, actually
It is exactly the development decision of electron avalanche, so finding the equivalent condition of corona cage and transmission line of electricity radio interference, seeks to find
Under what conditions, the movement of conducting wire ambient electron is identical.The definition of radio interference excitation function time domain:
As it can be seen that radio interference excitation function is exactly the function for describing electron motion, thus find corona cage and power transmission line
The equivalent condition of road radio interference is exactly to find the identical condition of excitation function.Excitation function changes with time depending on electricity
Quantum count, electronic movement velocity Vq0And Charge sites ρ changes with time.And electron amount and movement velocity Vq0Depend on
Electric field distribution near conductor, Charge sites ρ depend on position and the electronic movement velocity that electronics produces.It is it can be seen from the above that electric
The movement of son depends on the distribution of electric field near conducting wire, so excitation function depends on the electric field distribution near conducting wire.Therefore, exist
Ensure that corona cage is identical with the electric field distribution in transmission line of electricity near conducting wire, excitation function f (t) must be identical.
Therefore the key of problem is how to ensure that corona cage is consistent with the spatial distribution of transmission line of electricity electric field strength.In practice
Due to the presence of DC corona down space electric charge, even if corona cage conducting wire is consistent with the electric field strength on transmission line wire surface,
Space electric field distribution around both is also inconsistent.And according to the Kaptzov being widely accepted at present it is assumed that conducting wire bloom it
Afterwards, it is constant to will be maintained at bloom field strength for conductive line surfaces electric field strength, thus using maximum synthetic surface electric field strength it is identical as etc.
Effect condition is not very suitable.
Assuming that distance is D between conducting wire and cage wall in corona cage, if the space point of corona cage and transmission line of electricity electric field strength
Cloth is consistent, then around transmission line of electricity away from its distance for D point and transmission line of electricity between potential difference will with conducting wire in corona cage with
Potential difference between cage wall is consistent., whereas if the potential difference in corona cage between conducting wire and cage wall is with transmission line of electricity and away from it
Potential difference of the distance between the point of D is consistent, then corona cage is consistent with the spatial distribution of transmission line of electricity electric field strength.Based on this
Thought, can obtain transmission line of electricity and away from it on the basis of potential difference between the point of D, and the voltage difference is direct
It is applied on DC corona cage conducting wire, then the one of the corona current feature of DC corona cage conducting wire and actual track conducting wire at this time
Cause, so as to establish the correspondence of both experiments.
Embodiment 1:As shown in Figure 1, concrete methods of realizing of the present invention is as follows:
S101, according to by experiment conducting wire parameter and arrangement, corona cage parameter etc. calculate corona cage in conducting wire unit
Long capacitance Cc;
Cc=2 π ε0/ ln (R/r), (3)
R is corona cage radius in formula, and r is wire radius, ε0It is dielectric constant of air.
S102, between conducting wire in corona cage and cage wall distance as weigh distance, determine around transmission line wire with transmission of electricity
Distance is equal to the position of the point of the measurement distance between circuit, i.e.,:Determine identical with corona cage shape around transmission line wire
Virtual box position;
S103, based on Numerical Calculation of Electromagnetic Fields method, determine transmission line wire in given voltage and given line arrangement
The voltage produced at the various point locations determined under mode in S102, the voltage of all the points is averaged, obtains transmission line of electricity
The voltage that conducting wire produces at virtual box;
Based on Numerical Calculation of Electromagnetic Fields, the voltage that conducting wire is produced in various point locations can be obtained, around actual track
Electric field distribution be not the slightly difference of the voltage on difference that is uniform, being obtained in S102.Singly take the voltage at any point
All can not accurate response space charge overall distribution, therefore the present invention by S102 obtain all the points in magnitude of voltage ask for electricity
Flatten average.
Specifically calculating process is:
Numerical Calculation of Electromagnetic Fields method is as follows:
Governing equation for corona discharge space Ion Flow Field is:
Poisson's equation
▽2Φ=- (ρ+-ρ-)/ε0 (1)
Ion flow equation
j+=ρ+(-k+▽Φ+W) (2)
j-=ρ-(-k-▽Φ-W) (3)
Current continuity equation
▽·j+=-R ρ+ρ-/e (4)
▽·j-=R ρ+ρ-/e (5)
Wherein R is negative ions recombination coefficient, and e is electron charge, and k is ionic mobility, and ф is scalar electric potential, and ρ is electricity
Lotus density, j are current density, and W is wind speed, ε0For dielectric constant of air;
For equation (1)~(5), it is assumed that conductive line surfaces electric field maintains corona inception field strength, conducting wire voltage-to-ground is to lead
Line virtual voltage, ground voltage zero, use FEM calculation space electric field based on (1), characteristic curve are used based on (2)~(5)
Method calculates distribution of space charge;Two calculating process alternately, initial value each other, until electric field convergence in distribution is to stabilization.This
When, the relative position in being tested using corona cage between corona cage used and circuit is identical around transmission line wire according to finding out
The voltage of each point of position, and the average value of these voltages is calculated, obtain the voltage that transmission line wire produces at virtual box.
S104, by actual power line conductive line voltage and average voltage (at virtual box produce voltage) phase in S103
Subtract, obtain the equivalent voltage being applied in corona cage between conducting wire and corona cage.
The equivalent voltage, be applied between conducting wire and corona cage by S105.
S106, using coupled capacitor device be coupled to low-pressure end by the high frequency voltage of conducting wire in corona cage, is done using radio
Disturb receiver (EMI receivers) measurement coupled voltages URIV。
S107, the long capacitance C of unit using conducting wire in corona cagec, coupled voltages URIVTransmission line wire is obtained given
Radio interference excitation function Γ under voltage and given line arrangement modec:
In formula, RMFor the build-out resistor of coupled capacitor device output terminal.
Embodiment 2:In order to verify the present invention, scale-model experiment system, including small corona cage have been built in the lab
Experimental system and reduced scale circuit experimental system.Arrangement schematic diagram and corona cage the experiment electrical connection diagram of experimental system, such as scheme
Shown in 2a, Fig. 2 b.In experimental system shown in Fig. 2 a, Fig. 2 b, by coupling circuit measuring system respectively to corona cage and reduced scale
The corona current of line conductor carries out frequency domain domain measurement.In experimental system, high-voltage DC power supply makes conducting wire produce corona discharge.
The high pressure coupled capacitor of coupling circuit coordinates with termination power, the high fdrequency component of conductor corona electric current can be coupled to low pressure
Side, coupling frequency is adjustable from 0.5MHz~10MHz steppings, and coupling circuit terminating impedance is 50 Ω.Radio interference electric current uses
Radio interference receiver measures, and the input impedance of receiver is also 50 Ω.Trap is connected to the high voltage power supply port of export,
The 35dB μ decay of V, the interference at isolated power supply end can be provided under 0.5MHz-2MHz frequencies.In the experiment system of Fig. 2 a, Fig. 2 b
In system, power supply is 0-50kV positive polarity DC power supplies, employs radius and is carried out for tri- kinds of conducting wires of 0.04cm, 0.06cm and 0.08cm
Experiment, corona cage radius is 10cm, analog line height 40cm.Experimental situation parameter is as shown in table 1, based on being calculated not
It is as shown in table 2 that alive equivalent relation is applied with reduced scale circuit and corona cage, as shown in Table 2, is applied when on reduced scale circuit
The voltage of 26kV, 28kV, 30kV, 32kV, the equivalent voltage for needing to apply in corona cage be respectively 16.8kV, 17.2kV,
17.7kV、17.9kV.The voltage of table 2 is respectively applied on corresponding corona cage conducting wire and reduced scale line conductor, is measured respectively
Radio interference excitation function is as shown in Figure 3.It can be seen that corona cage conducting wire and reduced scale line conductor measurement result are coincide, verification
The validity of this test method.
Table 1, reduced scale circuit experimental situation parameter
Table 2, reduced scale circuit and corona cage apply alive equivalent relation
The present invention proposes a kind of DC power transmission line radio interference excitation function test method based on corona cage, is used for
Assess the radio interference level of actual DC transmission line of electricity.Its main feature is that:Propose and choose around transmission line of electricity away from power transmission line
Potential difference between road distance and conducting wire in corona cage and cage wall between equidistant point is as DC corona cage radio interference
Excitation function applies alive method when testing, and ensure that corona cage and the electric field distribution phase in transmission line of electricity near conducting wire
Together, so as to establish the equivalent of radio interference excitation function and actual transmission line of electricity radio interference excitation function in corona cage
Method.The radio interference excitation function obtained in corona cage based on formula (4) is used directly for actual track, without appointing
What is corrected and converts into.Since the voltage between DC corona cage and conducting wire is small relative to actual track voltage-to-ground, to surveying
The output voltage capability for trying power supply is of less demanding.Compared with direct current experimental line and actual track are tested, the corona cage testing time
It is short, the influence of the various factors such as season, weather, weather, height above sea level can be simulated, is greatly shortened research cycle.
It these are only the preferred embodiment of the present invention, be not intended to limit the invention, for those skilled in the art
For member, the invention may be variously modified and varied.Any modification within the spirit and principles of the invention, being made,
Equivalent substitution, improvement etc., should all be included in the protection scope of the present invention.
Claims (2)
- A kind of 1. DC power transmission line radio interference excitation function test method based on corona cage, it is characterised in that including:Step 1: electricity is grown according to the unit that conducting wire in corona cage is calculated by experiment conducting wire parameter and arrangement, corona cage parameter Hold Cc;Step 2: between conducting wire in corona cage and cage wall distance as weigh distance, determine around transmission line wire with power transmission line Distance is equal to the position of the point of the measurement distance between road;Step 3: being based on Numerical Calculation of Electromagnetic Fields method, produced at the point position that computing electric power line conducting wire determines in step 2 Raw voltage, average voltage is taken by the voltage of all the points position;The step 3 includes:Numerical Calculation of Electromagnetic Fields method is as follows:Governing equation for corona discharge space Ion Flow Field is:Poisson's equation▽2Φ=- (ρ+-ρ-)/ε0 (1)Ion flow equationj+=ρ+(-k+▽Φ+W) (2)j-=ρ-(-k-▽Φ-W) (3)Current continuity equation▽·j+=-R ρ+ρ-/e (4)▽·j-=R ρ+ρ-/e (5)Wherein R is negative ions recombination coefficient, and e is electron charge, and k is ionic mobility, and ф is scalar electric potential, and ρ is close for electric charge Degree, j are current density, and W is wind speed, ε0For dielectric constant of air;For equation (1)~(5), FEM calculation space electric field is used based on (1), method of characteristic curves meter is used based on (2)~(5) Calculate distribution of space charge;Two calculating process alternately, initial value each other, until electric field convergence in distribution is to stabilization;With corona Relative position between corona cage used and circuit is according to finding out each of same position around transmission line wire in cage experiment The voltage of point, and calculate the average voltage of all the points position voltage;Step 4: power line conductive line voltage and the average voltage in step 3 are subtracted each other, obtain being applied in corona cage Equivalent voltage between conducting wire and corona cage;Step 5: the equivalent voltage is applied between conducting wire and corona cage;Step 6: the high frequency voltage of conducting wire in corona cage is coupled to low-pressure end using coupled capacitor device, radio interference is used Receiver measurement coupled voltages URIV;Step 7: the long capacitance C of unit using conducting wire in corona cagec, coupled voltages URIVObtain the radio of transmission line wire Disturb excitation function Γc, radio interference excitation function ΓcCalculation formula be:<mrow> <msub> <mi>&Gamma;</mi> <mi>c</mi> </msub> <mo>=</mo> <msub> <mi>U</mi> <mrow> <mi>R</mi> <mi>I</mi> <mi>V</mi> </mrow> </msub> <mo>-</mo> <mn>20</mn> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mfrac> <msub> <mi>R</mi> <mi>M</mi> </msub> <mn>2</mn> </mfrac> <mo>-</mo> <mn>20</mn> <mi>l</mi> <mi>o</mi> <mi>g</mi> <mfrac> <msub> <mi>C</mi> <mi>c</mi> </msub> <mrow> <mn>2</mn> <msub> <mi>&pi;&epsiv;</mi> <mn>0</mn> </msub> </mrow> </mfrac> </mrow>In formula, RMFor the build-out resistor of coupled capacitor device output terminal.
- 2. the DC power transmission line radio interference excitation function test method based on corona cage as claimed in claim 1, its It is characterized in that, the long capacitance C of unitcCalculation formula be:Cc=2 π ε0/ln(R/r)In formula:R is corona cage radius, and r is wire radius, ε0For dielectric constant of air.
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CN109142894B (en) * | 2018-07-05 | 2020-11-24 | 清华大学 | Direct current wire corona space charge distribution testing method based on coupling equipotential principle |
CN110456176A (en) * | 2019-05-28 | 2019-11-15 | 武汉大学 | A kind of calculation method of high altitude localities ultra-high-tension power transmission line radio interference level |
CN116466198A (en) * | 2023-04-25 | 2023-07-21 | 华北电力大学(保定) | Experimental system for corona discharge and environmental effect characteristics thereof |
CN116953451A (en) * | 2023-08-01 | 2023-10-27 | 华北电力大学(保定) | Test system and test method for negative polarity corona discharge |
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