CN106649946B - Power frequency phase parameter simulation calculation method for power transmission line - Google Patents

Power frequency phase parameter simulation calculation method for power transmission line Download PDF

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CN106649946B
CN106649946B CN201610867244.9A CN201610867244A CN106649946B CN 106649946 B CN106649946 B CN 106649946B CN 201610867244 A CN201610867244 A CN 201610867244A CN 106649946 B CN106649946 B CN 106649946B
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transmission line
phase
power transmission
simulation
power
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CN106649946A (en
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张青青
王兴照
张高峰
韦良
李广磊
王大鹏
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Shandong Electric Power Co Ltd
Shandong Zhongshi Yitong Group Co Ltd
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State Grid Corp of China SGCC
Electric Power Research Institute of State Grid Shandong Electric Power Co Ltd
Shandong Zhongshi Yitong Group Co Ltd
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Abstract

The invention discloses a power frequency phase parameter simulation calculation method for a power transmission line, which comprises the following steps: acquiring parameters of a power transmission line and transmitting the parameters to an ATP-EMTP simulation system; building an ATP-EMTP simulation model; setting parameters of the power transmission line: setting relevant parameters of a power transmission line module in the ATP-EMTP simulation system according to the acquired basic parameters of the power transmission line, the ground wire and the power transmission tower and the soil resistivity along the power transmission line; applying a source to the operating line; calculating phase parameters of the power transmission line: and calculating phase self-impedance, phase self-capacitance, mutual capacitance and mutual impedance in the phase parameters of the power transmission line by adopting a single-end method or a double-end method. The invention adopts a mode of combining program simulation and formula calculation, is more efficient and convenient than formula accurate calculation and more accurate than approximate estimation, and can eliminate static electricity and electromagnetic interference of an operating line to a calculating line so as to provide test verification for field actual measurement.

Description

Power frequency phase parameter simulation calculation method for power transmission line
Technical Field
The invention relates to the field of simulation calculation of power systems, in particular to a power frequency phase parameter simulation calculation method for a power transmission line.
Background
The EMTP (Electro-Magnetic Transient Program) is simulation software for electromagnetic Transient analysis of a power system, and is the most widely applied Program for simulation of a power network and power electronics at a high voltage level in the power system.
At present, two types of basic methods for acquiring power frequency phase parameters at home and abroad are provided, and the first type of method is mainly obtained by formula calculation. The calculation methods can be divided into two types: one is obtained by substituting specific parameters into a calculation formula item by item according to the conditions of the structure, the material, the temperature environment and the like of the overhead conductor, and is called as accurate calculation; another is to find the phase parameters of a line per unit length from a manual or product catalog, called approximate calculation. The precise calculation method needs more parameters known in advance, and the calculation formula is complex. Approximate calculation is often adopted in engineering, the method ignores the influence of factors such as geographic environment, weather conditions and the like, and the calculation result sometimes has larger error.
And the second type is that after the transmission line is erected, the power frequency phase parameters of the line are obtained through on-site actual measurement. During actual measurement, due to the fact that the operating line has induced voltage and induced current on the measuring line, interference is caused to the testing process, and accuracy of the measuring result is seriously affected.
Disclosure of Invention
In order to solve the defects in the prior art, the invention discloses a power frequency phase parameter simulation calculation method for a power transmission line, and the invention discloses the power frequency phase parameter simulation calculation method for the power transmission line based on ATP-EMTP. The method adopts a mode of combining program simulation and formula calculation, is more efficient and convenient than formula accurate calculation and more accurate than approximate estimation, and can provide test verification for field actual measurement. Therefore, reliable power transmission line power frequency phase parameters are provided for relay protection setting calculation, load flow calculation, fault distance measurement, short-circuit current calculation, network loss calculation, selection of a power system operation mode and the like.
In order to achieve the purpose, the invention adopts the following specific scheme:
a power frequency phase parameter simulation calculation method for a power transmission line comprises the following steps:
acquiring basic parameters of a power transmission line, a ground wire and a power transmission tower and the resistivity of soil along the power transmission line, and transmitting the parameters to an ATP-EMTP simulation system;
building an ATP-EMTP simulation model;
setting parameters of the power transmission line: setting relevant parameters of a power transmission line module in the ATP-EMTP simulation system according to the acquired basic parameters of the power transmission line, the ground wire and the power transmission tower and the soil resistivity along the power transmission line;
applying a source to the operating line;
calculating phase parameters of the power transmission line: and calculating phase self-impedance, phase self-capacitance, mutual impedance and mutual capacitance in the phase parameters of the power transmission line by adopting a single-end method or a double-end method, in the ATP-EMTP simulation system, performing open-circuit and short-circuit setting on a phase wire to be calculated according to the single-end method or the double-end method, applying a power supply, performing simulation calculation on a voltage phasor and a current phasor of the phase wire to be calculated, and calculating the phase parameters of the power transmission line according to a measurement result.
Further, when an ATP-EMTP simulation model is built, a power transmission line model segmentation point is determined according to four factors of soil resistivity along the power transmission line, a power transmission line erection mode, a ground wire model and an erection mode and a power transmission line phase sequence, the four factors are in a relation with each other, and if the four factors are consistent at the same time, the four factors are in a design section;
building a power transmission line model: a centralized parameter model in the ATP-EMTP simulation system can be selected for the short-distance power transmission line, and a distributed parameter model in the ATP-EMTP simulation system is selected for the long-distance power transmission line.
Further, when the power transmission line parameters are set, the set parameters comprise parameters of a Model module and a data module in a power transmission line module in the ATP-EMTP simulation system;
the Model module is internally provided with the type and the corresponding characteristics of the power transmission line, the soil resistivity, the transmission frequency of the power transmission line and the length of the power transmission line;
the data module is provided with phase number, inner diameter, outer diameter, direct current resistance, horizontal distance Horiz, wire height Vpower and span central wire height V of the transmission linemidSplit spacing, ground protection angle and split number.
Furthermore, the applied signal source is a voltage source, and the amplitude, frequency, angle and start-stop time of the voltage source are set.
Furthermore, when the phase parameters of the power transmission line are calculated, a phase splitter is arranged at a terminal of the power transmission line, one three-phase power transmission line is divided into three single-phase power transmission lines, and the phase splitting detection of the induced voltage and the current of the line to be calculated is realized.
Furthermore, during detection of the phase parameters of the power transmission line, the detection current source is connected in series in each single-phase power transmission line, the detection voltage source is connected in parallel at two ends of each induced single-phase power transmission line, the detection current source displays the amplitude and the angle of the passing current, and the detection voltage source displays the amplitude and the angle of the voltage of the parallel connection line point.
Further, when the phase self-impedance of the power transmission line is subjected to simulation calculation, if a single-ended method is adopted for simulation, the method specifically comprises the following steps:
opening the tail end of a wire of a phase to be calculated, applying a single-phase power supply to the head end of the wire, and opening the two ends of the other phases;
measuring phase head end voltage phasor by simulation calculation
Figure BDA0001123679230000021
Current phasor
Figure BDA0001123679230000022
Keeping the rest unchanged, grounding the tail end of the phase to be calculated, and calculating the voltage component of the head end of the phase in a simulation manner
Figure BDA0001123679230000023
Current phasor
Figure BDA0001123679230000024
Simulation data analysis and calculation: and obtaining the characteristic impedance and the transmission line propagation coefficient of the transmission line according to the EMTP simulation calculation result, wherein the self-impedance of the transmission line simulation calculation phase unit is the product of the characteristic impedance and the transmission line propagation coefficient of the transmission line.
Further, when the self-impedance of the phase of the power transmission line is subjected to simulation calculation, if a double-end method is adopted for simulation, the method specifically comprises the following steps:
applying a single-phase power supply to the head end of a phase wire to be calculated, grounding the tail end of the phase wire, and opening the two ends of the other phases;
the voltage component of the head end of the phase is calculated by simulation
Figure BDA0001123679230000031
Current phasor
Figure BDA0001123679230000032
And terminal current phasor
Figure BDA0001123679230000033
Simulation data analysis and calculation: and obtaining the characteristic impedance and the transmission line propagation coefficient of the transmission line according to the EMTP simulation calculation result, wherein the self-impedance of the transmission line simulation calculation phase unit is the product of the characteristic impedance and the transmission line propagation coefficient of the transmission line.
Further, when the transmission line phase self-capacitance is subjected to simulation calculation, if a single-end method is adopted for simulation, the method specifically comprises the following steps:
opening the tail end of a wire of a phase to be calculated, applying a single-phase power supply to the head end of the wire, and keeping the two ends of the other phases grounded;
measuring phase head end voltage phasor by simulation calculation
Figure BDA0001123679230000034
Current phasor
Figure BDA0001123679230000035
Keeping the rest unchanged, grounding the tail end of the phase to be calculated, and calculating the voltage component of the head end of the phase in a simulation manner
Figure BDA0001123679230000036
Current phasor
Figure BDA0001123679230000037
Simulation data analysis and calculation: and according to the EMTP simulation calculation result, obtaining the transmission line characteristic impedance and the transmission line transmission coefficient, wherein the transmission line simulation calculation phase unit self-admittance is the ratio of the transmission line transmission coefficient to the transmission line characteristic impedance, and the phase unit self-capacitance is the ratio of the imaginary part of the phase unit self-admittance to the angular frequency.
Further, when the self-capacitance of the phase of the power transmission line is subjected to simulation calculation, if a double-end method is adopted for simulation, the method specifically comprises the following steps:
applying a single-phase power supply to the head end of a phase wire to be calculated, opening the tail end of the phase wire, and grounding the two ends of the other phases;
measuring phase head end voltage phasor by simulation calculation
Figure BDA0001123679230000038
Current phasor
Figure BDA0001123679230000039
And terminal voltage phasor
Figure BDA00011236792300000310
And (5) simulation data analysis and calculation. And according to the EMTP simulation calculation result, obtaining the transmission line characteristic impedance and the transmission line transmission coefficient, wherein the transmission line simulation calculation phase unit self-admittance is the ratio of the transmission line transmission coefficient to the transmission line characteristic impedance, and the phase unit self-capacitance is the ratio of the imaginary part of the phase unit self-admittance to the angular frequency.
Further, when the inter-phase mutual capacitance of the power transmission line is subjected to simulation calculation, if a single-end method is adopted for simulation, the method specifically comprises the following steps:
applying a single-phase power supply to the head end of one phase of power transmission line to be calculated, and opening a circuit at the tail end, grounding the head ends of the other phases, and opening a circuit at the tail end;
simulation calculation of applied power phase head voltage phasor
Figure BDA00011236792300000311
Current phasor at head end of another phase
Figure BDA00011236792300000312
Simulation dataAnd (3) analysis and calculation: according to the EMTP simulation calculation result, the unit length inter-phase mutual capacitance between the two transmission lines
Figure BDA00011236792300000313
The unit is F/km, L is the length of the transmission line, the unit is kilometer, omega is the angular frequency of the applied power supply, and the unit is radian/second.
Further, when the interphase mutual capacitance of the power transmission line is subjected to simulation calculation, if a double-end method is adopted for simulation, the power transmission line system is set to be N-phase, and any i-phase and j-interphase mutual capacitance c is subjected to simulation calculationijIn the EMTP simulation environment, the method specifically includes:
applying a single-phase power supply to the head end of the ith phase power transmission line, and opening the tail end, grounding the head ends of the other phases, and opening the tail end;
simulating and calculating the voltage component of the first end of the i-phase
Figure BDA00011236792300000314
Terminal voltage phasor
Figure BDA00011236792300000315
Head end current of j phase
Figure BDA00011236792300000316
And terminal voltage
Figure BDA00011236792300000317
Applying power supply and simulation calculation to the power transmission lines in other N-phase power transmission systems except the i-phase power transmission system by the same method;
simulation data analysis and calculation: substituting EMTP simulation calculation results into equation set
Figure BDA0001123679230000041
In the formula, m is not equal to j, i is 1 to N-1, j is i +1 to N, the N-phase lead system can list 1+2+3+. + N-1 element equation set containing 1+2+3+. + N-1 unknowns, and all interphase transadmittances Y are solved in a simultaneous mannerijFurther, the mutual capacitance c between phases is obtainedij=Yij/(L.j.omega.). In the formula
Figure BDA0001123679230000042
Has been calculated from a previous simulation, zj、yjIs the phase unit self-impedance and the phase unit self-admittance have been calculated from the previous simulation, Yij、YjmAnd for all interphase transadmittances, the variable to be solved of the equation set is obtained, and L is the length of the power transmission line.
Further, when the inter-phase mutual impedance of the power transmission line is subjected to simulation calculation, the method specifically comprises the following steps:
applying a single-phase power supply to the head end of one phase of power transmission line to be calculated, grounding the tail end, opening the head ends of the other phases and grounding the tail end;
simulation calculation of applied power supply phase head end current phasor
Figure BDA0001123679230000043
Induced voltage phasor at head end of other induced phases
Figure BDA0001123679230000044
Applying source and simulation calculation to the other interphase mutual impedance by adopting the same method;
simulation data analysis and calculation: according to EMTP simulation calculation results, for short-distance power transmission lines and power transmission line phase-to-phase mutual impedance
Figure BDA0001123679230000045
Wherein L is the length of the transmission line.
Furthermore, when the inter-phase mutual impedance of the power transmission line is subjected to simulation calculation and the requirement on the calculation accuracy of the long-distance power transmission line or the inter-phase mutual impedance is high,
Figure BDA0001123679230000046
wherein k is not equal to j, k is not equal to i, zi、yi、zj、yjj、yjkAre all obtained by simulation calculation in the phase unit self-impedance and the phase unit self-admittance of the front surface, zi、yiThe unit length impedance and admittance of the i-phase lead applying the power supply are respectively; z is a radical ofjImpedance per unit length of j-phase conductor for applying power, yjjFor induction phase j-phase unit length self-admittance, yjkIs the unit length admittance to other inductive phases.
Further, the pitch center conductor height VmidHeight-sag of the wire.
Further, if the conductors supposed by several successive tower stages are combined in one design segment, the conductor height V of the center of the span is averagedmid′:
Vmid' -weighted average wire height-average sag
Weighted average wire height-the sum of the product of the different wire heights within the design section and their percentages;
average sag-the sag corresponding to the average span of the design segment.
Further, when the horizontal distance Horiz is set, firstly, a reference horizontal distance is selected, if the central line of the selected tower is a reference horizontal distance 0 point, the left side of the reference coordinate point is set as negative, the right side of the reference coordinate point is set as positive, and the absolute distance between the power transmission line and the reference point is set as d;
if the transmission line is on the left side of the tower, HorizPower transmission line=-d;
If the transmission line is on the right side of the tower, HorizPower transmission line=d。
The invention has the beneficial effects that:
the power frequency phase parameter simulation calculation method of the power transmission line researched by the invention is suitable for any power transmission line.
The invention adopts a mode of combining program simulation and formula calculation, is more efficient and convenient than formula accurate calculation and more accurate than approximate estimation, and can provide test verification for field actual measurement. Therefore, reliable power transmission line power frequency parameters are provided for relay protection setting calculation, load flow calculation, fault distance measurement, short-circuit current calculation, network loss calculation, selection of a power system operation mode and the like.
Drawings
FIG. 1 is a schematic diagram of a single-end phase self-impedance simulation calculation;
FIG. 2 is a schematic diagram of a double-ended method phase self-impedance simulation calculation;
FIG. 3 is a schematic diagram of a single-end phase self-capacitance simulation calculation;
FIG. 4 is a schematic diagram of a double-ended phase self-capacitance simulation calculation;
FIG. 5 is a schematic diagram of a mutual capacitance simulation calculation by a single-end method;
FIG. 6 is a schematic diagram of a mutual capacitance simulation calculation by a two-terminal method;
FIG. 7 is a schematic diagram of a mutual impedance simulation calculation;
FIG. 8 flow chart of power frequency phase parameter simulation calculation of power transmission line
The specific implementation mode is as follows:
the invention is described in detail below with reference to the accompanying drawings:
as shown in fig. 8, a power frequency phase parameter simulation calculation method for a power transmission line specifically includes the steps of:
1. data acquisition
1) And acquiring related power transmission line data including the power transmission line model, the inner diameter, the outer diameter, the direct current resistance value, the split number, the split distance, the sag and the phase sequence.
2) And acquiring related ground wire data including the type, the inner diameter, the outer diameter, the direct current resistance, the sag, the grounding mode and the ground wire protection angle of the ground wire.
3) And acquiring related transmission tower data including tower type, pitch, conductor suspension point on the tower and parameters.
4) And acquiring the related soil resistivity parameters.
2. Data analysis calculation
And carrying out data analysis calculation on the acquired data according to the following formula:
1)Vmidheight-sag of ═ wire
Vmid-pitch center conductor height.
2) If the conductors supposed by several successive stages of towers are combined in one design section, then:
Vmid' -weighted average wire height-average sag
Weighted average wire height-the sum of the products of the different wire heights within the design section and their percentages.
Average sag-the sag corresponding to the average span of the design segment.
3) The distance between the transmission lines which are erected in parallel with double loops on the same tower and multiple loops on the same tower is an important factor influencing the parameters of the transmission lines. The Horiz parameter in the Model in LCC (power transmission line module) in the ATP-EMTP software sets the distance of the same-tower double-circuit, same-tower multi-circuit and parallel-erected line. Firstly, a reference horizontal distance is selected, and if the central line of any tower is selected as a reference horizontal distance 0 point, the absolute distance between a power transmission line and the reference point is d. Let the left of the reference coordinate point be negative and the right be positive.
If the transmission line is on the left side of the tower, HorizPower transmission line=-d
If the transmission line is on the right side of the tower, HorizPower transmission line=d
3. And (4) building an ATP-EMTP simulation model.
1) And designing a power transmission line model. And determining the segmentation point of the power transmission line model according to the four factors of the soil resistivity along the power transmission line, the erection mode of the power transmission line, the model and the erection mode of the ground wire and the phase sequence of the power transmission line. The four factors are in an and relationship, and if the four factors are consistent at the same time, the four factors are in one design section.
2) And (5) building a power transmission line model. Selecting a centralized parameter model in the ATP-EMTP for the short-distance transmission line, selecting a distributed parameter model in the ATP-EMTP for the long-distance transmission line, simulating each section of the transmission line designed in the step 1) in the ATP-EMTP by using the selected transmission line model, and connecting each section of the transmission line according to a transmission line sequence diagram.
3) And setting parameters of the power transmission line. The parameters to be set are Model and data modules in LCC (power transmission line module) in ATP-EMTP. The setting of the part of parameters is obtained by data collection 1 and data analysis and calculation 2, specifically, the type and the corresponding characteristics of the power transmission line are set in a Model module, and the soil resistivity, the transmission frequency of the power transmission line and the length of the power transmission line are set; the data module is provided with phase number, inner diameter, outer diameter and direct current of the transmission lineResistance, horizontal distance Horiz, wire height VtowerCenter conductor height V of stepmidThe split distance, the ground wire protection angle and the split number.
4) And applying signal source setting to the transmission line. And selecting an applied signal source as a voltage source, and setting the amplitude, frequency, angle and start-stop time of the voltage source. Generally, the amplitude of the signal source is chosen as much as possible. If the simulation calculation amount can guide the field actual measurement, the maximum amplitude of the signal source provided by the used test equipment needs to be investigated, and the simulation calculation signal source is set to the value.
5) Setting simulation time step, opening ATP-Settings under ATP module in ATP-EMTP, setting simulation step deltaT < 1 × 10-3Time of simulation Tmax>deltaT。
ATP-EMTP calculation debugging
1) And running an ATP program, checking whether the transposition and the phase sequence of each section are accurate, if so, checking the phase sequence of the LCC (power transmission line module) section by section, and correcting until the phase sequence is all consistent with the designed phase sequence.
2) Because the outgoing working condition, the erection height, the transposition mode, the environment along the line and the like of each phase of the transmission line are different, the line parameters are also different, and the voltage and the current in the simulation calculation need to be subjected to split-phase detection, a phase Splitter is required to be arranged at the terminal of the transmission line, namely a Splitter (3phase) module in the Probe &3-phase is selected to divide one three-phase transmission line into three single-phase transmission lines.
3) Connecting a detection current source in each single-phase Power transmission line in series, connecting a detection voltage source at two ends of each induced single-phase Power transmission line in parallel, setting the content displayed by the detection current source by double-clicking the detection current source, selecting curr/Power of Steady-state, selecting Curr. And double-clicking the detection Voltage source to set the content displayed by the detection Voltage source, selecting the Voltage of Steady-state, selecting U in Onscreen, and displaying the Voltage amplitude and angle of the parallel connection line point by the detection Voltage source after the debugging calculation is finished.
4) And arranging a calculation mode. At present, two mature methods for testing phase parameters of a power transmission line exist, one method is a single-end method for a short-distance power transmission line, and the other method is a double-end method for a long-distance power transmission line. The phase parameters of the power transmission line comprise phase self-impedance, phase self-capacitance, mutual impedance and mutual capacitance. The calculation mode of each parameter is arranged as follows:
a) and (5) carrying out self-impedance simulation calculation on the power transmission line phase.
As shown in fig. 1, in the single-ended simulation, in the EMTP simulation environment, step 1, the tail end of the phase conductor to be calculated is open-circuited, the head end of the phase conductor to be calculated is applied with a single-phase power supply, and the two ends of the other phases are open-circuited. Step 2, measuring the voltage component of the phase head end through simulation calculation
Figure BDA0001123679230000071
Current phasor
Figure BDA0001123679230000072
Step
3, grounding the tail end of the phase to be calculated, and calculating the voltage component of the head end of the phase in a simulation manner
Figure BDA0001123679230000073
Current phasor
Figure BDA0001123679230000074
And 4, analyzing and calculating simulation data. According to the EMTP simulation calculation result, the characteristic impedance of the power transmission line
Figure BDA0001123679230000075
Unit is omega, transmission line propagation coefficient
Figure BDA0001123679230000081
The unit is 1/km, wherein L is the line length of the power transmission line, the unit is km, and the power transmission line simulation calculates the unit self-impedance of the phase as z ═ zcLambda, unit omega/km.
As shown in fig. 2, during the simulation of the double-ended method, in an EMTP simulation environment, step 1, a single-phase power is applied to the head end of a phase conductor to be calculated, the tail end is grounded, and the two ends of the other phases are open-circuited. Step 2, simulating and calculating the voltage of the head end of the phaseMeasurement of
Figure BDA0001123679230000082
Current phasor
Figure BDA0001123679230000083
And terminal current phasor
Figure BDA0001123679230000084
And 3, analyzing and calculating simulation data. According to the EMTP simulation calculation result, the characteristic impedance of the power transmission line
Figure BDA0001123679230000085
Unit is omega, transmission line propagation coefficient
Figure BDA0001123679230000086
The unit is 1/km, wherein L is the line length of the power transmission line, the unit is km, and the power transmission line simulation calculates the unit self-impedance of the phase as z ═ zcLambda, unit omega/km.
b) And (5) carrying out simulation calculation on the self-capacitance of the transmission line phase.
As shown in fig. 3, in the single-ended simulation, in the EMTP simulation environment, step 1, the tail end of the phase conductor to be calculated is open-circuited, a single-phase power is applied to the head end, and the other phases have their two ends grounded. Step 2, measuring the voltage component of the phase head end through simulation calculation
Figure BDA0001123679230000087
Current phasor
Figure BDA0001123679230000088
Step
3, grounding the tail end of the phase to be calculated, and calculating the voltage component of the head end of the phase in a simulation manner
Figure BDA0001123679230000089
Current phasor
Figure BDA00011236792300000810
And 4, analyzing and calculating simulation data. According to the EMTP simulation calculation result, the characteristic impedance of the power transmission line
Figure BDA00011236792300000811
Unit is omega, transmission line propagation coefficient
Figure BDA00011236792300000812
The unit is 1/km, wherein L is the line length of the power transmission line, the unit is km, and the unit self-admittance of the simulation calculation phase of the power transmission line is y0=λ/zcSelf-capacitance per unit S, per unit length c0=Im(y0)/ω。
As shown in fig. 4, during the simulation by the double-ended method, in the EMTP simulation environment, step 1, a single-phase power is applied to the head end of the phase conductor to be calculated, the tail end is open, and the two ends of the other phases are grounded. Step 2, measuring the voltage component of the phase head end through simulation calculation
Figure BDA00011236792300000813
Current phasor
Figure BDA00011236792300000814
And terminal voltage phasor
Figure BDA00011236792300000815
And 3, analyzing and calculating simulation data. According to the EMTP simulation calculation result, the characteristic impedance of the power transmission line
Figure BDA0001123679230000091
Unit is omega, transmission line propagation coefficient
Figure BDA0001123679230000092
The unit is 1/km, wherein L is the line length of the power transmission line, the unit is km, and the unit self-admittance of the simulation calculation phase of the power transmission line is y0=λ/zcSelf-capacitance per unit S, per unit length c0=Im(y0)/ω。
c) And (5) carrying out simulation calculation on the mutual capacitance of the phases of the power transmission line.
As shown in fig. 5, when the mutual capacitance between two transmission lines of a line is simulated by a single-end method, in an EMTP simulation environment, step 1, a single is applied to the head end of one of the transmission lines to be calculatedThe tail end of the phase power supply is open-circuited, the head ends of the other phases are grounded, and the tail end of the other phases is open-circuited. Step 2, performing simulation calculation on the voltage phasor of the applied power phase head end
Figure BDA0001123679230000093
Current phasor at head end of another phase
Figure BDA0001123679230000094
And 3, analyzing and calculating simulation data. According to the EMTP simulation calculation result, the unit length inter-phase mutual capacitance between the two transmission lines
Figure BDA0001123679230000095
The unit is F/km.
As shown in fig. 6, in the simulation of the double-end method, the transmission line system is set as N-phase, and the mutual capacitance c between any i-phase and any j-phase is calculated through simulationijIn the EMTP simulation environment, step 1, a single-phase power supply is applied to the head end of the ith phase power transmission line, the tail end is open, the head ends of the other phases are grounded, and the tail end is open. Step 2, simulating and calculating the voltage component of the first end of the i-phase
Figure BDA0001123679230000096
Terminal voltage phasor
Figure BDA0001123679230000097
Head end current of j phase
Figure BDA0001123679230000098
And terminal voltage
Figure BDA0001123679230000099
And 3, applying power to the power transmission lines in other N-phase power transmission systems except the i-phase power transmission system in the same way, wherein the tail ends of the power transmission lines are open-circuited, the head ends of the wires of the other phases are grounded, and the tail ends of the wires of the other phases are open-circuited. The quantity of simulation calculation is the same as above, namely, the first and the last voltage of the power supply are applied, and the current and the last voltage of the first end of the other phases are applied. And 4, analyzing and calculating simulation data. Substituting EMTP simulation calculation results into equation set
Figure BDA00011236792300000910
In the formula, m is not equal to j, i is 1 to N-1, and j is i +1 to N. The N-phase lead system can list a 1+2+3+. N-1 element equation set containing 1+2+3+. N-1 unknowns, and all the inter-phase mutual admittances Y are solved simultaneouslyijFurther, the mutual capacitance c between phases is obtainedij=Yij/(L·jω)。
d) And (5) performing simulation calculation on interphase mutual impedance of the power transmission line.
As shown in fig. 7, the terminal does not relate to the measurement quantity in the simulation calculation of the inter-phase mutual impedance, so the single-terminal method and the double-terminal method have the same simulation calculation mode. In an EMTP simulation environment, step 1, a single-phase power supply is applied to the head end of one phase of power transmission line to be calculated, the tail end is grounded, the head ends of the other phases are open, and the tail end is grounded. Step 2, performing simulation calculation on current phasor of head end of applied power phase
Figure BDA00011236792300000911
Induced voltage phasor at head end of other induced phases
Figure BDA0001123679230000101
And the other interphase mutual impedance is subjected to simulation calculation by the same method. And 3, analyzing and calculating simulation data. According to the EMTP simulation calculation result, the method I is that the interphase mutual impedance of the power transmission line
Figure BDA0001123679230000102
Wherein L is the length of the transmission line; in the second method, the first step is to perform the first step,
Figure BDA0001123679230000103
wherein k is not equal to j, k is not equal to i, zi、yi、zj、yjj、yjkAre all obtained by simulation calculation in the front, zi、yiThe unit length impedance and admittance of the i-phase lead applying the power supply are respectively; y isjjFor induction phase j-phase unit length self-admittance, yjkIs the unit length admittance to other inductive phases. The method I can be selected for the short-distance power transmission line, and the method II is preferably selected for the long-distance power transmission line or the occasion with high calculation accuracy requirement on the mutual impedance.
Although the embodiments of the present invention have been described with reference to the accompanying drawings, it is not intended to limit the scope of the present invention, and it should be understood by those skilled in the art that various modifications and variations can be made without inventive efforts by those skilled in the art based on the technical solution of the present invention.

Claims (9)

1. A power frequency phase parameter simulation calculation method of a power transmission line is characterized by comprising the following steps:
acquiring basic parameters of a power transmission line, a ground wire and a power transmission tower and the resistivity of soil along the power transmission line, and transmitting the parameters to an ATP-EMTP simulation system;
building an ATP-EMTP simulation model: when an ATP-EMTP simulation model is built, determining a power transmission line model segmentation point according to four factors of soil resistivity along a power transmission line, a power transmission line erection mode, a ground wire model and erection mode and a power transmission line phase sequence, wherein the four factors are in a relation with each other, and if the four factors are consistent at the same time, the four factors are in a design section;
setting parameters of the power transmission line: setting relevant parameters of a power transmission line module in the ATP-EMTP simulation system according to the acquired basic parameters of the power transmission line, the ground wire and the power transmission tower and the soil resistivity along the power transmission line; when the parameters of the power transmission line are set, the set parameters comprise parameters of a Model module and a data module in a power transmission line module in an ATP-EMTP simulation system;
the Model module is internally provided with the type and the corresponding characteristics of the power transmission line, the soil resistivity, the transmission frequency of the power transmission line and the length of the power transmission line;
the data module is provided with phase number, inner diameter, outer diameter, direct current resistance, horizontal distance Horiz, wire height Vpower and span central wire height V of the transmission linemidSplitting distance, ground wire protection angle and splitting number;
applying a source to the operating line;
calculating phase parameters of the power transmission line: and calculating phase self-impedance, phase self-capacitance, mutual impedance and mutual capacitance in the phase parameters of the power transmission line by adopting a single-end method or a double-end method, in the ATP-EMTP simulation system, performing open circuit and short circuit setting on a phase wire to be calculated according to the single-end method or the double-end method, applying a power supply, performing simulation calculation on a voltage phasor and a current phasor of the phase wire to be calculated, and calculating the phase parameters of the power transmission line according to a measurement result.
2. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1,
building a power transmission line model: a centralized parameter model in the ATP-EMTP simulation system can be selected for the short-distance power transmission line, and a distributed parameter model in the ATP-EMTP simulation system is selected for the long-distance power transmission line.
3. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein the applied signal source is a voltage source, and the amplitude, the frequency, the angle and the start-stop time of the voltage source are set.
4. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein during calculation of the phase parameters of the transmission line, a phase splitter is arranged at a terminal of the transmission line to split a three-phase transmission line into three single-phase transmission lines, so as to realize phase-splitting detection of induced voltage and current of the line to be calculated.
5. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein during detection of the phase parameters of the transmission line, the detection current source is connected in series in each single-phase transmission line, the detection voltage source is connected in parallel at two ends of each induced single-phase transmission line, the detection current source displays the amplitude and angle of the passing current, and the detection voltage source displays the amplitude and angle of the voltage at the parallel connection line point.
6. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein when the power frequency phase self-impedance of the transmission line is subjected to simulation calculation, if a single-ended method is adopted for simulation, the method specifically comprises the following steps:
the tail end of a wire of a phase to be calculated is open-circuited, a single-phase power supply is applied to the head end of the wire of the phase to be calculated, and the two ends of the other phases are open-circuited;
measuring phase head end voltage phasor by simulation calculation
Figure FDA0002177156130000021
Current phasor
Figure FDA0002177156130000022
Grounding the tail end of the phase to be calculated, and calculating the voltage component of the head end of the phase in a simulation manner
Figure FDA0002177156130000023
Current phasor
Figure FDA0002177156130000024
Simulation data analysis and calculation: and obtaining the characteristic impedance and the transmission line propagation coefficient of the transmission line according to the EMTP simulation calculation result, wherein the self-impedance of the transmission line simulation calculation phase unit is the product of the characteristic impedance and the transmission line propagation coefficient of the transmission line.
7. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein during simulation calculation of the power frequency phase self-impedance of the transmission line, if a double-end method simulation is adopted, the method specifically comprises the following steps:
applying a single-phase power supply to the head end of a phase wire to be calculated, grounding the tail end of the phase wire, and opening the two ends of the other phases;
the voltage component of the head end of the phase is calculated by simulation
Figure FDA0002177156130000025
Current phasor
Figure FDA0002177156130000026
And terminal current phasor
Figure FDA0002177156130000027
Simulation data analysis and calculation: and obtaining the characteristic impedance and the transmission line propagation coefficient of the transmission line according to the EMTP simulation calculation result, wherein the self-impedance of the transmission line simulation calculation phase unit is the product of the characteristic impedance and the transmission line propagation coefficient of the transmission line.
8. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein when the power frequency phase self-capacitance of the transmission line is subjected to simulation calculation, if a single-ended method is adopted for simulation, the method specifically comprises the following steps:
the tail end of a wire of a phase to be calculated is open-circuited, a single-phase power supply is applied to the head end of the wire of the phase to be calculated, and the two ends of the other phases are grounded;
measuring phase head end voltage phasor by simulation calculation
Figure FDA0002177156130000028
Current phasor
Figure FDA0002177156130000029
Grounding the tail end of the phase to be calculated, and calculating the voltage component of the head end of the phase in a simulation manner
Figure FDA00021771561300000210
Current phasor
Figure FDA00021771561300000211
Simulation data analysis and calculation: and according to the EMTP simulation calculation result, obtaining the transmission line characteristic impedance and the transmission line transmission coefficient, wherein the transmission line simulation calculation phase unit self-admittance is the ratio of the transmission line transmission coefficient to the transmission line characteristic impedance, and the phase unit self-capacitance is the ratio of the imaginary part of the phase unit self-admittance to the angular frequency.
9. The power frequency phase parameter simulation calculation method of the transmission line according to claim 1, wherein during simulation calculation of the self-capacitance of the transmission line phase, if a double-end method simulation is adopted, the method specifically comprises the following steps:
applying a single-phase power supply to the head end of a phase wire to be calculated, opening the tail end of the phase wire, and grounding the two ends of the other phases;
measuring phase head end voltage phasor by simulation calculation
Figure FDA00021771561300000212
Current phasor
Figure FDA00021771561300000213
And terminal voltage phasor
Figure FDA00021771561300000214
Simulation data analysis and calculation: and obtaining the characteristic impedance and the transmission line propagation coefficient of the transmission line according to the EMTP simulation calculation result, wherein the phase unit self-admittance of the transmission line simulation calculation is the ratio of the transmission line propagation coefficient and the characteristic impedance of the transmission line.
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