CN109408928A - A kind of optimization method of V-type insulator hang - Google Patents
A kind of optimization method of V-type insulator hang Download PDFInfo
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Abstract
The present invention provides a kind of V-type insulator suspension angles optimization methods calculated based on ANSYS Finite Element Simulation Analysis, it is characterised in that specific steps are as follows: 1) determine the operating parameter of transmission line of electricity and the Meteorological Characteristics of their location；2) gravitational load that insulator under calm no icing meteorological condition bears overhead line is calculated；3) wind load that transmission line of electricity is born under different wind scales is calculated；4) ice coating load that transmission line of electricity is born under different icing degree is calculated；5) Finite Element Simulation Analysis is carried out to insulator according to gravitational load, wind load and the ice coating load being calculated.This method can be determined the gentle wind load as under environment of different geography, ice coating load and gravitational load, it ensure that the popularity of this method application, force analysis is carried out using ANSYS simulation software, simplify the period of calculating and test, effectively reduce the cost budgeting of engineering, so that calculated result is more accurate, certain theoretical foundation is provided for the planning and transformation of transmission line of electricity.
Description
Technical field
The present invention relates to a kind of optimization methods of V-type insulator suspension angles, are based on ANSYS more particularly to a kind of
The method of Finite Element Simulation Analysis calculating V-type composite insulator mechanical property.
Background technique
Due to economic and industry fast development, the overall size of overhead transmission line is also more and more huger, adds me
The appearance of state's northern area extreme weather easily leads to transmission line icing, covers snow slush, causes stranded, broken string, jumps string and ice and snow
The accidents such as flashover, to influence the safety and stability of electric system entirety.It can using the hang of V-type insulator string
Effectively to reduce the generation that ice dodges accident, the main reason is that:
1, due to the presence of suspension angles, so that the gap of V-type composite insulator difference full skirt is not easy by icicle and product
Snowbridge connects.
2, V-type hang increases the contact area between composite insulator and rainwater, so that composite insulator is in rainwater
Wash away under self-cleaning effect it is more obvious, to reduce the contamination amount of insulator.
3, in insulator surface ice dissolution, rainwater can be flowed down according to certain angle, avoid the formation of the entire insulation of perforation
The cascade in sublist face, so that ice, which greatly reduces, dodges the probability that accident occurs.
4, V-type insulator chain can significantly improve the field distribution around insulator, so that field distribution is more equal
It is even, to improve the flashover voltage of -- icing insulator.
Due to the presence of the above advantage, the composite insulator of V-type hang obtains in the transmission line of electricity of part
Using, but its specific mechanical property and optimal hang not yet carry out systematic research, it is therefore, compound for V-type
The research of the mechanical Characteristic of insulator is also just imperative.With being gradually increased for transmission line of electricity voltage class, high voltage
The composite insulator of grade is widely used in transmission line of electricity, and grow string composite insulator and traditional suspension type it is exhausted
The mechanical property of edge substring has very big difference.
It is mainly at present verification experimental verification and Numerical Simulation Analysis for the analysis method of insulator stress in transmission line of electricity.
By showing a large amount of test result analysis: relative to the influence of static load and impulse load, the mechanical property of insulator
Maximum is influenced by dynamic load, under the influence of long-term dynamic load, can greatly reduce the fatigue life of insulator,
Due to the difference of end metal fitting Joining Technology, so that there is very big influence in service life of the insulator under different loads.But with
The progress and upgrading of manufacture craft, the mechanical accident caused by the connection of core rod of insulator and fitting is fewer and fewer, and right
The optimization problem of insulator suspension angles requires further study under different angle.Therefore, the present invention is according to specific transmission of electricity
The geography and Meteorological Characteristics of route propose specific method, and benefit to the determination of wind load, gravitational load and ice coating load
With the method for Finite Element Simulation Analysis, corresponding analysis is carried out to the mechanical property of V-type insulator, according to V-type insulator
Stress size and the results such as deformational displacement, it is determined that the optimal suspension angles of the middle V-type insulator of transmission line of electricity are that V-type is exhausted
The optimization of the suspension angles of edge proposes a general method, to prevent the pollution flashover accident of insulator from providing reason
By foundation, the safe operation of voltage levels transmission line of electricity is advantageously ensured that.
Summary of the invention
The purpose of the present invention is, on the Research foundation of traditional electric transmission line isolator mechanical property, improves and passes
The insulator hanging method of system, for the hang of V-type insulator, proposition is suitble under the conditions of each transmission line of electricity and meteorology
The method of double string composite insulator hang optimizations.This method can be to the gentle wind load as under environment of different geography, icing
Load and gravitational load are determined, and ensure that the popularity of this method application, carry out stress point using ANSYS simulation software
Analysis, simplifies the period of calculating and test, effectively reduces the cost budgeting of engineering, so that calculated result is more accurate, it is defeated
The planning and transformation of electric line provide certain theoretical foundation.
To achieve the above object, the present invention adopts the following technical scheme: one kind is based on ANSYS Finite Element Simulation Analysis
The V-type insulator suspension angles optimization method of calculation.The specific steps are that:
1) operating parameter of transmission line of electricity and the Meteorological Characteristics of their location are determined；
2) gravitational load that insulator under calm no icing meteorological condition bears overhead line is calculated；
3) wind load that transmission line of electricity is born under different wind scales is calculated；
4) ice coating load that transmission line of electricity is born under different icing degree is calculated；
5) Finite Element Simulation Analysis is carried out to insulator according to gravitational load, wind load and the ice coating load being calculated.
Further, the V-type insulator is V-type composite insulator.
Further, the Meteorological Characteristics for described 1) determining the operating parameter and their location of transmission line of electricity, be obtain it is defeated
Model, the structure size of insulator, the Poisson's ratio of core rod of insulator and the bullet of horizontal span, overhead line between electric wire line pole tower
Property modulus parameter determines belonging to transmission line of electricity the wind scale and electric power line ice-covering thickness in season from different places.
Further, the gravitational load that insulator under calm no icing meteorological condition bears overhead line described 2) is calculated,
It is in the case where without ice and wind, insulator is solely subjected to the self weight of overhead line, and the gravity of the opposite overhead line of insulator self weight can neglect
Slightly disregard.
Further, the wind load that transmission line of electricity is born under different wind scales described 3) is calculated, is to work as transmission line of electricity
When running under windy conditions, overhead line is made V-type insulator by axial pressure by lateral horizontal force.
Further, the ice coating load that transmission line of electricity is born under different icing degree described 4) is calculated, is in overhead line
When there is ice and snow attachment on surface, insulator bears longitudinal unbalanced tensile force.
Further, described 5) V-type insulator is carried out according to determining gravitational load, wind load and ice coating load
Finite Element Simulation Analysis is the actual size simplified mathematical model according to insulator, ignores the full skirt and sheath of composite insulator
Part only carries out model foundation to the mandrel segment of insulator；Establish V-type insulator simulation model, insulator top and shaft tower
Junction uses hinged connection type；And the elasticity modulus and Poisson's ratio of simulation model are determined according to the material properties of plug；
Gravitational load, transversely and horizontally wind load and vertical equity ice coating load are applied to simulation model.
Further, described 5) according to determining gravitational load, wind load and ice coating load to V-type insulator into
Row Finite Element Simulation Analysis ignores the influence of ice coating load when wind load is major influence factors, to V-type insulation submodel
Apply gravitational load and wind load, passes through the deformational displacement and stress size to V-type insulator under different wind speed and suspension angles
It is analyzed, obtains the optimal suspension angles of insulator when wind load is major influence factors；In the influence for considering ice coating load
When, the deformational displacement and stress size of analysis gravitational load, wind load and the insulator under ice coating load comprehensive function, finally
Determine the optimized suspension angle of V-type insulator.
In conjunction with the arrangement of current power transmission line insulator and the demand of track remodelling, the present invention is to V-type insulator
Hang is optimized, and facilitates the implementation and transmission line safety operation of track remodelling scheme, specific beneficial to effect
Fruit is as follows:
1, a kind of specific prioritization scheme of V-type insulator hang is proposed, this method is joined with the operation of transmission line of electricity
Based on Meteorological Characteristics under several and extreme weather, so that it is determined that the operating parameter of environment locating for insulator operation, it can basis
Varying environment locating for transmission line of electricity determines corresponding parameter, ensure that the popularity of this method application.
2, Anti-ice-and-snow insulator simulation model is established using finite element emulation software ANSYS, to the insulation under varying environment
Sub- stress condition carries out simulation analysis, the design cycle of engineering proposal when greatly shortening track remodelling, imitative using finite element
It can very make to calculate more accurate, it is contemplated that the influence to different factors to electric transmission line isolator mechanical property, it is contemplated that now
The factor tested is inconvenient in reality, has saved the cost of test, and more comprehensive to the analysis of insulator mechanical property.
3, under the conditions of to different geographical environments and meteorology, the mechanical performance of V-type insulator hang has carried out comprehensive
Research, under different suspension angles V-type insulator largest deformation displacement, bear axial compressive force, axial tension and absolutely
The weak spot of edge stress has carried out further simulation analysis, has finally obtained the optimal suspension angles of V-type insulator, is V
Application of the type insulator in route design and track remodelling is laid a good foundation, for subsequent different hang insulators
The research of mechanical property provides the thinking of research.
4, the meteorological condition according to locating for insulator under Various Seasonal is different, separately considers under Various Seasonal, insulator
The maximum machine load born only considers gravitational load and wind load in spring, considers gravitational load, wind simultaneously in winter
Load and ice coating load.So that being more in line with the situation of transmission line of electricity reality when to the analysis of insulator mechanical property, increase
The accuracy of data analysis.
Detailed description of the invention
By reading the following detailed description of the preferred embodiment, various other advantages and benefits are general for this field
Logical technical staff will become clear.The drawings are only for the purpose of illustrating a preferred embodiment, and is not considered as to this hair
Bright limitation.And throughout the drawings, the same reference numbers will be used to refer to the same parts.In the accompanying drawings:
Fig. 1 is V-type insulator stress and deformation map under wind load.Symbol in Fig. 1 indicates: 1- cross arm of tower；2- is windward
Side insulator；3- leeward side insulator；Deformation occurs for 4- leeward side insulator；5- insulator angle theta；6- load angle Φ；7-
Wind load P；8- load resultant force；9- gravitational load G；
V-type insulator force diagram under Fig. 2 ice coating load.Symbol in Fig. 2 indicates: 1- cross arm of tower；The insulation of 2- windward side
Son；3- leeward side insulator；5- insulator angle theta；7- wind load P；9- gravitational load G；10- ice coating load M.
Windward side insulator stress-angled relationships under Fig. 3 difference wind scale；
Leeward side insulator stress-angled relationships under Fig. 4 difference wind scale；
V-type insulator deformational displacement-insulator angle under Fig. 5 difference wind scale；
Windward side insulator stress-angled relationships under Fig. 6 difference ice coating load；
Leeward side insulator stress-angled relationships under Fig. 7 difference ice coating load；
Relationship between largest deformation displacement-insulator angle of Fig. 8 difference ice coating load V-type insulator.
Specific embodiment
The illustrative embodiments of the disclosure are more fully described below with reference to accompanying drawings.Although showing this in attached drawing
Disclosed illustrative embodiments, it being understood, however, that may be realized in various forms the disclosure without that should be illustrated here
Embodiment is limited.It is to be able to thoroughly understand the disclosure on the contrary, providing these embodiments, and can incite somebody to action
The scope of the present disclosure is fully disclosed to those skilled in the art.
In a specific embodiment of the invention, according to the line parameter circuit value of 500 KV transmission line of Efficiency in Buildings in Tianjin Area and
Meteorological condition optimizes composite insulator hang, specific step are as follows:
1, the operating parameter of transmission line of electricity and the Meteorological Characteristics of their location are determined:
By searching for known to data: the conducting wire of 500 KV transmission line is 4 split conductors, and it is 5.31 that the ratio of conducting wire, which carries,
×10-2N/m·mm2, wire cross-section area 452.39mm2, vertical span 500m.The diameter of core rod of insulator is 24mm,
Length is 4250mm, and the Poisson's ratio of mandrel material is 0.26, elasticity modulus 39GPa.According to the meteorological number of typical meteorological condition area
According to the value range of wind speed v is 0~25m/s, and when wind speed reaches 25m/s, corresponding wind scale is ten grades, is selected respectively
It with the size of (4 grades, 6 grades, 8 grades, 10 grades) of wind scale different characterization wind speed, analyzes under four kinds of wind scales, insulate sub-folder
Influence of the angle to Anti-ice-and-snow composite insulator Mechanics of Machinery characteristic.
2, the gravity that insulator under calm no icing meteorological condition bears overhead line is calculated:
In the case where without ice and wind, insulator is solely subjected to the self weight of overhead line, the weight of the opposite overhead line of insulator self weight
Power is negligible, and the Force Calculation formula of insulator is under natural operating status
G=n γ1AL1 (1)
N is the division number of conducting wire, γ1(N/mmm is carried for the ratio of conducting wire2), A is sectional area of wire (mm2), L1It is vertical
Straight span (m).
It is 24.2kN that parameter in 1, which is substituted into formula (1) to obtain gravitational load G suffered by V-type insulator,.
3, the wind load that transmission line of electricity is born under different wind scales is calculated:
When transmission line of electricity is run under windy conditions, overhead line by lateral horizontal force, make V-type insulator by
Axial pressure.At different wind speeds, the stress form of V-type insulator is different, for the machinery for analyzing insulator under different wind speed
Characteristic need to determine the windage yaw load of insulator.The flowing of gas can generate corresponding wind pressure in air, according to the size of wind speed
It is converted into the calculation formula of wind pressure are as follows:
Calculation formula is carried by the ratio that wind speed generates wind pressure are as follows:
γ2=α kW0·d×10-3 (3)
The calculation formula of wind load is generated under different wind speed are as follows:
P=n γ2·A·Lp (4)
Wherein, W0For fundamental wind pressure, ρ is atmospheric density, and v is wind speed, and k is aerodynamic coefficient, α wind speed heterogeneous system
Number, d are aerial linear diameter, and A is sectional area of wire, LpFor horizontal span, P is conducting wire wind load.
Pass through theoretic wind pressure, wind load and the load angle of overhead line under the available different wind speed in formula (2)~(4), meter
It calculates as shown in Table 1.
Table one
4, the step of transmission line of electricity bears ice coating load under different ice covering thickness is calculated are as follows:
When there is ice and snow attachment on overhead line surface, composite insulator bears longitudinal unbalanced tensile force.Transmission line of electricity is indulged
Related to factors such as unbalanced tensile force and overhead line hitch point height difference, ice covering thickness, icing unevennesses, conducting wire hitch point is high
The increase of difference can make the left and right ends of insulator generate unbalanced tensile force, but the unbalanced tensile force at insulator both ends is no more than frame
The 1.5% of ceases to be busy pull-off force, under the action of different ice covering thickness and the different icing uniformitys, in hitch point left and right ends
Unbalanced tensile force maximum can reach the 10% of wire-break power.Meteorological condition that can be regional according to belonging to transmission line of electricity is chosen not
With overhead line pull-off force as overhead line longitudinal unbalance tension.
Typical meteorological condition area is determined first when bearing ice coating load, and wind speed is generally 10m/s, and can choose wind scale is 6
Wind load when grade, in conjunction with the icing situation of the transmission line of electricity of this area, the ice coating load as caused by icing chooses conducting wire respectively
4%, 6%, 8% and the 10% of pull-off force, size is respectively 4.13kN, 6.20kN, 8.27kN and 10.3kN.
5, finite element simulation point is carried out to V-type composite insulator according to determining gravitational load, wind load and ice coating load
Analysis:
Firstly, ignoring the full skirt and sheath section of composite insulator according to the actual size simplified mathematical model of insulator
Point, model foundation only is carried out to the mandrel segment of insulator；V-type insulator simulation model is established, insulator top and shaft tower connect
It meets place and uses hinged connection type；And the elasticity modulus and Poisson's ratio of simulation model are determined according to the material properties of plug；It is right
Simulation model applies gravitational load, transversely and horizontally wind load and vertical equity ice coating load.
Then, the optimized suspension angle of V-type insulator is determined come simulation calculation according to parameters determined above,
To be optimized to the hang of the insulator under Different climate condition, different geographical environments according to this method.
Specifically,
(1) when wind load is major influence factors, gravitational load and wind load is applied to V-type insulation submodel, led to
It crosses to the deformational displacement of V-type insulator under different wind speed and suspension angles and the progress of stress size, obtaining wind load is main shadow
The optimal suspension angles of insulator when the factor of sound:
(1) V-type composite insulator stress under wind load.When transmission line of electricity bear larger wind load when, generally spring and
Summer, transmission line of electricity is not subject to ice coating load at this time, therefore ignores the influence of ice coating load, applies gravitational load to V-type insulator
Wind load in 24.2kN and table one under different wind scales.V-type insulator under different wind loads is in windward side and leeward side
Relationship between insulator stress and the angle of V-type insulator, as shown in Figure 3.Power suffered by windward side insulator is axial
Pulling force, with incrementally increasing for insulator angle, insulator stress first reduces to be increased again.
As shown in Figure 4, in the case where wind scale is 4 grades of meteorological condition, leeward side insulator bears axial pulling force, and
Increase with the increase of insulator angle；In the case where wind scale is 6 grades to 10 grades of meteorological condition, when insulator angle very
Hour, leeward side insulator stress is negative value, indicates insulator by axial pressure, so that leeward side insulator occurs to bend
Song deformation, with the increase of V-type insulator angle, the axial compressive force that leeward side insulator is born is gradually decreased as zero, works as angle
When continuing to increase, leeward side insulator axial compressive force is changed into axial tension, and increases with the increase of angle.
(2) V-type composite insulator deformational displacement under wind load.Under the action of wind load and gravitational load, V-type insulation
Son will receive axial tension or axial compressive force, make V-type insulator deformation occurs displacement.Gravitational load is applied to V-type insulator
Wind load under 24.2kN and different wind scales, relationship such as Fig. 5 of V-type insulator largest deformation displacement and insulator angle
It is shown.With the increase of V-type insulator angle, the largest deformation displacement of insulator first reduces to increase again, and with wind scale
Be continuously increased, the displacement of the largest deformation of insulator also gradually increases.When V-type insulator angle is 60~110 °, insulator
Deformational displacement influenced minimum by wind load, and largest deformation displacement is no more than 0.02m.Comprehensive analysis V-type insulator is windward
Side, the stress of leeward side and insulator entirety deformational displacement, when insulator angle theta is 2 times of load angle Φ, windward side
The stress and deformational displacement of insulator and leeward side insulator are minimum.
(2) when considering the influence of ice coating load, under analysis gravitational load, wind load and ice coating load comprehensive function
The deformational displacement and stress size of insulator, the final optimized suspension angle for determining V-type insulator.
(1) V-type composite insulator force analysis under ice coating load
Transversely and horizontally load 6.23kN is applied to V-type insulator, applies gravitational load 24.2kN and different size of injustice
Weigh tension.Under different ice coating loads, gravitational load and wind load, the stress of windward side V-type insulator and insulator angle it
Between relationship, as shown in Figure 6.
The variation tendency of -- icing insulator stress is identical as when not considering ice coating load, with the increase of insulator angle,
The stress of windward side insulator first reduces to be increased afterwards.When insulator angle is less than 100 ° with the increase of ice coating load, windward
Side insulator stress increases；When insulator angle is greater than 100 °, with the increase of ice coating load, windward side insulator stress
Become smaller.
Leeward side insulator stress ice coating load, wind load and gravitational load effect under with insulator variable angle such as
Shown in Fig. 7.Leeward side insulator stress is basically unchanged under different ice coating loads, it is seen that ice coating load is to leeward side insulator
The influence of stress size is smaller, and the principal element for influencing insulator stress size is wind speed and insulator angle.When insulator angle
When spending big, with the increase of unbalanced tensile force, insulator stress is gradually become smaller.
Due to being hinged form between insulator top and electric power line pole tower, V-type insulator can be first along
The resultant direction of gravity and ice coating load deflects, and deformation occurs for meeting under the action of wind load for the insulator after deflection
Displacement, the relationship between the largest deformation displacement of different ice coating load V-type insulators and insulator angle are as shown in Figure 8.With
V-type insulator angle is gradually increased, and the suffered deformational displacement of V-type insulator is gradually reduced, and the bigger insulator of ice coating load
Deformational displacement it is bigger.Mainly it is positively correlated as the largest deformation displacement of insulator with resultant force size suffered by insulator
Relationship, with the increase of insulator angle, insulator pressure gradually becomes pulling force, under the action of pulling force, insulator hair
Raw small deformational displacement, the deformational displacement that insulator occurs under different ice coating loads at this time have the difference of very little.
The foregoing is only a preferred embodiment of the present invention, but protection scope of the present invention be not limited to
This, anyone skilled in the art in the technical scope disclosed by the present invention, the variation that can readily occur in or replaces
It changes, should be covered by the protection scope of the present invention.Therefore, protection scope of the present invention should be with the guarantor of the claim
It protects subject to range.
Claims (8)
1. a kind of V-type insulator suspension angles optimization method calculated based on ANSYS Finite Element Simulation Analysis, it is characterised in that tool
Body step are as follows:
1) operating parameter of transmission line of electricity and the Meteorological Characteristics of their location are determined；
2) gravitational load that insulator under calm no icing meteorological condition bears overhead line is calculated；
3) wind load that transmission line of electricity is born under different wind scales is calculated；
4) ice coating load that transmission line of electricity is born under different icing degree is calculated；
5) Finite Element Simulation Analysis is carried out to insulator according to gravitational load, wind load and the ice coating load being calculated.
2. optimization method according to claim 1, it is characterised in that: the V-type insulator is V-type composite insulator.
3. optimization method according to any one of claims 1 or 2, it is characterised in that: described 1) determine transmission line of electricity
Operating parameter and their location Meteorological Characteristics, be obtain electric power line pole tower between horizontal span, overhead line model, absolutely
The structure size of edge, the Poisson's ratio of core rod of insulator and elasticity modulus parameter determine belonging to transmission line of electricity season from different places
Wind scale and electric power line ice-covering thickness.
4. optimization method according to any one of claims 1 or 2, it is characterised in that: described 2) it calculates calm nothing and covers
Insulator bears the gravitational load of overhead line under ice meteorological condition, is in the case where without ice and wind, insulator is solely subjected to make somebody a mere figurehead
The gravity of the self weight of line, the opposite overhead line of insulator self weight is negligible.
5. optimization method according to any one of claims 1 or 2, it is characterised in that: described 3) calculate different wind-force
The wind load that transmission line of electricity is born under grade is when transmission line of electricity is run under windy conditions, and overhead line is by lateral water
Flat power makes V-type insulator by axial pressure.
6. optimization method according to any one of claims 1 or 2, it is characterised in that: described 4) calculate different icing
The ice coating load that transmission line of electricity is born under degree is when there is ice and snow attachment on overhead line surface, and insulator bears longitudinal injustice
Weigh tension.
7. optimization method according to any one of claims 1 or 2, it is characterised in that: described 5) according to determining weight
Power load, wind load and ice coating load carry out Finite Element Simulation Analysis to V-type insulator, are the actual size letters according to insulator
Change computation model, ignore the full skirt and jacket portions of composite insulator, model foundation only is carried out to the mandrel segment of insulator；It builds
Vertical V-type insulator simulation model, insulator top and shaft tower junction use hinged connection type；And according to the material of plug
Attribute determines the elasticity modulus and Poisson's ratio of simulation model；Gravitational load, transversely and horizontally wind load are applied to simulation model and indulged
To horizontal ice coating load.
8. optimization method according to claim 7, it is characterised in that: described 5) according to determining gravitational load, wind load
Lotus and ice coating load carry out Finite Element Simulation Analysis to V-type insulator, and icing is ignored when wind load is major influence factors and is carried
The influence of lotus applies gravitational load and wind load to V-type insulation submodel, by exhausted to V-type under different wind speed and suspension angles
The deformational displacement and stress size of edge are analyzed, and the optimal suspension angle of insulator when wind load is major influence factors is obtained
Degree；When considering the influence of ice coating load, gravitational load, the shape of wind load and the insulator under ice coating load comprehensive function are analyzed
Variable displacement and stress size, the final optimized suspension angle for determining V-type insulator.
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| CN113221375A (en) * | 2021-05-31 | 2021-08-06 | 山东建筑大学 | Electric power system simulation method considering line icing and insulator flashover |
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Cited By (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110489869A (en) * | 2019-08-20 | 2019-11-22 | 国网天津市电力公司电力科学研究院 | A kind of anti-lightning strike characteristic analysis method of double anti-snow slush composite insulators of string |
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| CN110516351A (en) * | 2019-08-27 | 2019-11-29 | 天津大学 | A kind of double insulator string suspension angles optimization method based on insulator contamination accumulation characteristics |
| CN113221375A (en) * | 2021-05-31 | 2021-08-06 | 山东建筑大学 | Electric power system simulation method considering line icing and insulator flashover |
| CN113221375B (en) * | 2021-05-31 | 2023-08-04 | 山东建筑大学 | Power system simulation method considering line icing and insulator flashover |
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