KR101183174B1 - Method of designing catenary system on AC electric railway system - Google Patents

Abstract

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a method for designing a catenary line of an AC electric railway system, in particular, inputting conductor data of each conductor of a double wire, calculating a line constant consisting of impedance and susceptibility for all conductors, and equipotentially After dividing the conductor into a predetermined group of conductors, equalizing the separated conductor groups by an equivalent modeling method and outputting an equivalent impedance and susceptance, and power analysis by the line constant output in the step Afterwards it is characterized in that the step consisting of outputting the optimal tramway system.

Therefore, in the present invention, it is necessary to perform load estimation and voltage drop examination by improving a new railway section or an existing train section, and to plan a smooth train operation, so that conductors such as optimal conductor type, thickness, geometry, electrical properties, etc. The data can be determined to design the installation of tram lines in earthworks, tunnels and bridge sections of electric railways.

Alternating current electric rail system, tram line, track constant, 5 conductor group, earthwork tunnel, bridge section

Description

Method of designing catenary system on AC electric railway system

The present invention relates to a method for designing a tramway of an AC electric railway system. More particularly, the present invention relates to a five-conductor group that constitutes a tramway system in a real system not only for earthwork but also for designing a tramway in a tunnel or a bridge section. The present invention relates to a method for designing a catenary line of an ac electric railway system that can calculate impedance and susceptance, and can analyze and predict various phenomena of the ac electric railway system by using this line constant.

Tramway is the main body of AC electric railroad facility, and plays an important role to supply electric power directly to electric vehicle. The purpose of the installation of such a tramline is to have electric contact performance for smooth electric power supply to an electric vehicle current collector supplying high-quality electric power to an electric vehicle.

In addition, since the speed of the same tensile force is proportional to the voltage, when the electric vehicle voltage decreases, the speed of the electric vehicle decreases and the driving time for maintaining the expression speed becomes long, so that the driving time of the regulation cannot be maintained. Therefore, it is necessary to design a tramway suitable for the electric railway system to bring about stabilization of the system.

The design of the tram line should be designed in consideration of the characteristics that the tram line is different from the general transmission / distribution line in terms of the type and thickness of the conductor and the geometrical structure between the conductors.

Conventionally, the expected load was selected, the load current was calculated, and the conductor line was designed by selecting a conductor with approximately tens of percent margin compared with the allowable current for each wire standard, or the train line was designed considering only the impedance between earthwork zones. .

As such, there is an impedance and susceptance because it considers only the allowable current and does not take into account the geometric structure or the AC electric railway, but when the tram line is constructed by considering the impedance without considering the susceptibility among the line constants, There is a problem of designing or causing voltage drop, mismatch of harmonic analysis, and low reliability of fault expression in case of accident.

Accordingly, an object of the present invention is to change the conductor type and thickness, and the geometrical structure between conductors in the design of tram lines for all sections of the electric railway system, ie, earthworks, tunnels, and bridge sections, and the equivalent impedance and susceptance of five conductor groups. After the calculation, it outputs the equivalent line constant of the 5 conductor group, performs the power analysis, and then provides an electric railway system design method for designing the optimal conductor and structure that can supply the lowest voltage fluctuations and high quality power. will be.

In order to achieve the above object of the present invention, the catenary line design method of the AC electric rail system according to the present invention, in the catenary line design method of the electric railway system consisting of a plurality of conductors, Computing a line constant consisting of impedance and susceptance for all the conductors, classifying the connected conductors into equipotential conductors and classifying them into predetermined conductor groups, and equalizing the separated conductor groups by an equivalent modeling method. Afterwards, the method comprises outputting an equivalent impedance and susceptance, and outputting an optimal tramline system after power analysis by the equivalent line constant output in the step.

In addition, the present invention includes the step of changing and re-entering the conductor data of each conductor of the double-wire after the power analysis, and the re-entry the conductor data to calculate the line constant of all conductors, conductor equalization, each conductor group It is characterized by outputting the optimum tramline system after performing the equivalent line constant output and power analysis process.

In addition, the conductor data is characterized in that the data on the geometric structure, material, size, electrical properties such as height, distance between conductors, radius, permeability for each conductor.

The dividing of the equipotential conductor into a predetermined conductor group may include: an ascending feeder as a first conductor group, an ascending feeder as a second conductor group, an ascending tram line and an ascending jog line as a third conductor group, an ascending tram line, and a descending line. The rough wire is divided into a fourth conductor group, a rail, a work protection line, and a ground line by a fifth conductor group.

On the other hand, the step of outputting the tram line system, characterized in that the tram line design of 5 conductor group equivalent line constant for all sections of the electric railway system of earthworks, tunnels, bridges is made.

According to the method of designing the tramway of the electric railway system as described above, it is necessary to examine the load assumption and voltage drop due to the improvement of the new railway section or the existing railway section, and to plan for smooth train operation. By determining the conductor data such as the geometry, geometry, and electrical properties, it is effective to design the facilities of tram lines in earthworks, tunnels, and bridge sections of electric railways.

In addition, the method of designing the catenary lines of the AC electric rail system of the present invention cannot change the design after the completion of the electrification, so that the phenomenon of the AC electric rail system including not only the impedance of the five conductor group but also the susceptance is not possible. It can also be interpreted and predicted to identify problems after completion.

While the invention is susceptible to various modifications and alternative forms, specific embodiments thereof are shown by way of example in the drawings and will herein be described in detail. It should be understood, however, that the invention is not intended to be limited to the particular embodiments, but includes all modifications, equivalents, and alternatives falling within the spirit and scope of the invention. Like reference numerals are used for like elements in describing each drawing.

Unless defined otherwise, all terms used herein, including technical or scientific terms, have the same meaning as commonly understood by one of ordinary skill in the art. Terms such as those defined in the commonly used dictionaries should be construed as having meanings consistent with the meanings in the context of the related art and shall not be construed in ideal or excessively formal meanings unless expressly defined in this application. Do not.

Hereinafter, with reference to the accompanying drawings, it will be described in detail a preferred embodiment of the present invention.

1 is a view showing the geometric structure of a railway tramway system applied to an embodiment of the present invention, Figure 2 is a flow chart illustrating a tramway design method of an electric railway system according to an embodiment of the present invention.

Referring to FIG. 1, the electric railway system is composed of 14 conductors, but since the tram line and the barbed wire are connected by a dropper, and the up-and-down rail, overhead protection line, and ground line are commonly connected, the conductors may be represented by five conductor groups. .

In other words, if you look closely at the electric railway system, the number of tracks is complicated, but some conductors are shorted together so that they can be treated as a single conductor. More specifically, the tram line and the rough line are connected by equalization lines or droppers. Up and down rails, up and down overhead protective lines, and up and down ground wires are jointly grounded to each other can be regarded as a group of electrical conductors.

Thus, the first conductor group is an ascending feeder line (1), the second conductor group is an ascending feeder line (2), the third conductor group is an ascending chariot line (4) and an ascending jogline (3), and the fourth conductor group is an ascending tank line (6) and It consists of the down-column line (5) and the fifth conductor group is co-grounded by rails (7, 8, 9, 10), overhead protection lines (11, 12), and ground lines (13, 14).

As described above, since the conductors are short-circuited in the actual field, the line constants of the five conductors cannot be measured, and these line constants are composed of impedance and susceptance.

Looking at the design of the tram line of the electric railway system with reference to Figure 2, the line constant calculation device for calculating the line constant calculation function that can calculate the line constant to calculate the line constant of earthworks, tunnels, bridge section And a power analysis function.

The device for calculating the line constant divides 14 conductors constituting the electric railway system into 5 conductor groups as shown in FIG. 1, and inputs conductor data such as material, size, electrical properties, and geometry of each conductor. (S1)

The apparatus for calculating the line constant retrieves the conductor data from a database in which the conductor data is stored and calculates the line constant of all conductors (S2 and S3).

Thereafter, the line constant calculating device calculates a line constant composed of impedance and susceptance for all conductors, and outputs impedance and susceptibility of five conductor groups by conductor equalization (S4).

The apparatus for calculating the line constant undergoes a power analysis process based on the equivalent line constant of the outputted 5 conductor group, in which the conductor data of each conductor of the double wire type, thickness, and geometric structure are changed and re-input.

In addition, the line constant calculating device loads the re-inputted conductor data, calculates the line constants of all conductors, equalizes the conductors, outputs the equivalent line constants of five conductor groups, and analyzes the optimal tram line system. (S7)

Hereinafter, a method of designing a tramway of an electric railway system according to an embodiment of the present invention will be described in more detail with reference to the accompanying drawings.

3 is a diagram illustrating a magnetic impedance of a conductor group according to an embodiment of the present invention, FIG. 4 is a diagram illustrating mutual impedance between a conductor group and a conductor according to an embodiment of the present invention, and FIG. FIG. 6 is a diagram illustrating mutual impedance between a conductor group and a conductor group according to an embodiment of the present invention, and FIG. 6 is a view illustrating an equalization process of the catenary line impedance in an embodiment of the present invention, and FIG. 7 is an embodiment of the present invention. FIG. 8 is a diagram illustrating a relationship between capacitance and induction coefficients for two conductors according to the present invention, and FIG. 8 is a diagram showing a structure for calculating charges and potentials according to an image and a distance between the conductors and ground in the embodiment of the present invention. 8 is a view showing a charge and potential calculation structure according to an image and a distance between ground conductors of a conductor in an embodiment of the present invention, and FIG. 9 is a cross-sectional view of a tram line between earthwork sections according to an embodiment of the present invention. , 10 is a cross-sectional view of a tram line in a tunnel section according to an embodiment of the present invention, Figure 11 is a cross-sectional view of the tram line in a bridge section according to an embodiment of the present invention.

1.Calculation of the line constant of all conductors

The tram line constant calculating device calculates the line constants of all conductors using Equations 1 to 4 below.

First, the magnetic impedance per unit length is the sum of the internal magnetic impedance and the external magnetic impedance.

는 도체의 단위 길이 당 내부 임피던스이고,

는 대지 귀환(earth return)을 고려한 도체의 단위길이 당 외부임피던스이며, 직렬 임피던스 행렬의 대각 성분인 자기 임피더스(

)는 아래 수학식 2와 같다.here,

Is the internal impedance per unit length of the conductor,

Is the external impedance per unit length of the conductor taking into account earth return, and the magnetic impedance (diagonal component of the series impedance matrix)

) Is shown in Equation 2 below.

Mutual impedance, which is a non-diagonal component, is represented by Equation 3.

와 정수 a의 함수이다.　각 4개의 연속된 항들이 반복되는 형태이고, 전력 주파수에 대해서는 몇 개의 항만 필요하지만, 고주파수와 선간 공간이 넓어질수록 더 많은 항을 필요로 하게 된다. Also, ΔR 'and ΔX' included in Equations (2) and (3) are angles considering the ground feedback effect.

And a function of the integer a. Each of the four consecutive terms is repeated, and only a few terms are required for the power frequency, but as the space between the high frequency and the line becomes wider, more terms are required.

는 자기 임피던스 경우에 Φ=0이 되고 상호 임피던스인 경우에는

가 되며, 정수 a는 수학식 4와 같다.Angle

Φ = 0 in the case of magnetic impedance and in the case of mutual impedance

The constant a is the same as Equation 4.

= 대지 저항(Ωm)이다. Where D = distance between two conductors (m),

= Earth resistance (Ωm).

2. Equipotential Conductor Classification and Grouping

The equipotential conductor is a state in which two or more conductors are short-circuited with each other. The catenary track constant calculating device is classified and grouped as an equipotential conductor because the catenary conductor and the coarse conductor are connected by a dropper when classifying and grouping the equipotential conductor. Rails, overhead protective wires and ground wires are also connected in common and are therefore considered to be one equipotential conductor.

In the case of a double track, the conductor group is an ascending feeder, an ascending feeder, an ascending chariot conductor group, an ascending chariot conductor group, a rail conductor group, and the number of groups is five.

3. Equivalent Impedance Modeling

The device for calculating the line constant calculates the magnetic impedance of the equivalent conductor model, the mutual impedance between the conductor group and the conductor, and the mutual impedance between the conductor group and the conductor group during the equivalent impedance modeling.

3-1) Magnetic impedance of equivalent conductor model

The magnetic impedance of the equivalent conductor model is that two conductors are replaced by one virtual conductor. As shown in FIG. 3, the magnetic and mutual impedances of the two conductors are replaced by one magnetic impedance.

The magnetic impedance of this virtual conductor is expressed by Equations 5 and 6 below.

In this case, if Zaa ≠ Zbb (for example, a railway tramway system consisting of a tramline and a jogline)

Where Zaa is the magnetic impedance of the conductor a, Zbb is the magnetic impedance of the conductor b, and Zab is the mutual impedance between the conductors a and b.

On the other hand, if Zaa = Zbb in the case of two rail conductors

3-2) mutual impedance between conductor group and conductor

As shown in FIG. 4, when Zaa ≠ Zbb (for example, an electric vehicle conductor group composed of a tramline and a bare wire) and Zcc (for example, dj, a feeder line) exhibit magnetic impedance, the following Equation 7 is obtained.

Here, Zac is the mutual impedance composed of the conductor (a) and the conductor (c), and Zbc is the mutual impedance composed of the conductor (b) and the conductor (c).

By the way, if Zaa = Zbb (for example, two rails) and Zcc (for example, a feeder line) represents magnetic impedance, it is expressed by Equation (8).

3-3) mutual impedance between the conductor group and the conductor group

As shown in FIG. 5, if Zaa ≠ Zbb and Zcc = Zdd (for example, a catenary conductor group and two rails), Equation 9 is obtained.

Where Z _2a is the mutual impedance between the group (2) consisting of conductors c and d and conductor (a), and Z _2b is the mutual impedance between group (2) consisting of conductors c and d and conductor (b).

By the way, if Zaa = Zbb and Zcc = Zdd (for example, an uplink rail and a downline rail), the mutual impedance is expressed by the following equation (10).

The trajectory line constant calculating device equalizes the grouped conductors classified as equipotential conductors among the various conductors into one conductor. FIG. 6 illustrates a process in which n and n-1 conductors among n conductors are electrically classified as equipotential conductors and equalized into one conductor.

The n conductor shown in FIG. 6 (a) is represented by Equation 11 in general matrix relation.

If the (n-1) and n conductors are short-circuited with each other, they can be regarded as a single conductor group and become equipotential, so that V _n-1 = V _n .

Therefore, subtracting the impedance row elements corresponding to V _n from the impedance row elements corresponding to V _n-1 to make two conductors into one conductor group is calculated as in Equation 12.

V _n-1 and If two conductors of V _n become one equivalent conductor, the current flowing in each must be summed into one current. Therefore, if this physical concept is represented by a matrix relationship, Equation 13 is obtained.

Here, the matrix abbreviation formula of kron is applied to erase the elements of n rows and n columns. When the information on the erased conductor enters the magnetic impedance of the equivalent conductor and the mutual impedance between the equivalent conductor and other conductors, the magnetic impedance and the mutual impedance of the equivalent conductor may be expressed as in Equation (14).

here,

4. Equivalent Susceptance Modeling of Tramway

In the case of a large number of conductors, the capacitance of one conductor can be expressed by C = Q / V when the potential at the time when all other conductors are grounded and maintained at zero potential and the charge Q is applied to the conductor is set to V. Value.

In addition, the capacitance between two specific conductors 1 and 2 in a plurality of conductors is equal to C _{(1 )} when the restraint charge between two conductors is Q _(1,2) and the potential difference between them is V _(1,2) . _{, 2)} = Q _(1,2) / V _(1,2 )

1, 2, 3 now in space… ... There are n conductors of n, and the charges of each conductor are Q ₁ , Q ₂ , Q ₃ ,. ... Q _n , and each of the potentials is V ₁ , V ₂ , V ₃ ,. ... In the case of V _n , the relationship between the electric potential and the electric charge is established.

In Equation 15, P is referred to as a potential coefficient, p _mm represents a potential of m when unit charge is given only to conductor m, and p _mn represents a potential of conductor m when unit charge is given only to conductor n. In addition, it is an integer determined according to the shape of each conductor and its relative position, and has no relation to V and Q. p has a positive sign and a relationship of p _mn = p _nm .

When Equation 15 is solved for the charge Q, Equation 16 is obtained.

In this case, k in Equation 16 is a coefficient that can be mathematically calculated from p in Equation 15, and thus k _mn = k _nm since there is a relationship of p _mn = p _nm .

In Equation 16, V ₂ = V ₃ =... ... If V _n = 0, that is, if all other conductors other than conductor 1 are grounded and their potential is zero, Q ₁ = k ₁₁ V ₁ , and k ₁₁ represents the capacitance of one conductor. +)

Further, to be Q ₂ = k ₂₁ V ₁ in this case, the conductor 2, the portion by the electrostatic induction - since the charge of the indicated Q ₂ is a portion (), since a k ₂₁ also portion () - a () do.

That is, all coefficients with the same sign, such as k _nn , have positive signs, which are called capacitance coefficients. Coefficients with subscripts different from k _mn are called electrostatic induction coefficients.

For example, as shown in FIG. 7, when Equation 16 is applied to the case of two conductors, Equation 17 is obtained.

In contrast to Equations 15 and 7, each capacitance is represented by Equation 18.

In the case of a large number of conductors, the capacitance can be expressed as a function of k as shown in Equation (18). In addition, k is expressed as a function of p, and p can be calculated by knowing the shape of the conductor and the position of the relationship. In other words, when the potential coefficient is calculated, the capacitance can be mathematically calculated in the above-described order.

5. Equivalent Susceptance Modeling of Tramway

Equivalent susceptance modeling, like equivalent impedance modeling, applies the concept of equipotential because the connected conductors are shorted.

The susceptance is a coefficient that can be mathematically calculated (inverse matrix calculation) from the potential coefficient P. The potential coefficient is obtained by applying the imaging method from the geometric structure of the conductors from the ground by the height of the conductor, the average equivalent radius, the distance between the conductors, and the distance between the conductor and the image conductor. Since the shorted conductor is an equipotential, an equivalent susceptance can be obtained by the same process as impedance equalization under the assumption that the potential V is the same.

As shown in Fig. 8, a relationship as shown in the following equation (19) is established between the potential (V) and the charge (Q).

here,

After obtaining Equation 19, the equivalence process may be represented as Equation 20 because the tram line and the rough line are equipotential in Equation 19.

Since the charge of the equivalent conductor is the sum of the chariot charge and the bare ship charge, it is represented by Equation 21 when expressed in a matrix relationship.

When the elements of the third row are deleted in Equation 21, an equivalent potential coefficient as in Equation 22 is obtained.

here,

  As a result, the equivalent susceptance can be obtained by the inverse of the potential coefficient as shown in Equation (23).

6. Reentry of Conductor Data

The geometry, material, size and electrical properties of the conductor will be re-entered.

Table 1 shows the geometry of each tram line, and when the cross-sectional view is drawn according to Table 1, as shown in FIGS. 9 to 11, the positions of the conductors are changed little by little depending on the shape of the earthworks, tunnels, and bridge sections.

-Geometry of each tramway-

Tables 2 to 4 show the materials, sizes, and electrical properties of the conductors.

            -Conductor Characteristics in Earthwork Section-

        Conductor Characteristics in Tunnel Section

           Conductor Characteristics in Bridge Sections

Using the input values of all conductor data shown in Tables 1 to 4, the susceptance values of the entire conductors are obtained, and the total susceptance values are classified and grouped into equipotential conductors, which are then equalized. Susceptance can be obtained.

In the present invention, when the earth resistivity is 100? · M and the frequency is applied at 60 Hz, the equivalent impedance for each section is shown in Tables 5 to 7.

           -Equivalent short-circuit impedance in earthwork section-

        Equivalent short-circuit impedance in tunnel section;

           -Equivalent short-circuit impedance in bridge section-

On the other hand, the equivalent conductor susceptance is shown in Tables 8 to 10 below.

         Equivalent abbreviation susceptance in earthworks

       Equivalent abbreviation susceptance in tunnel section

           Equivalent abbreviation susceptance in bridge section-

Thus, in order to identify, interpret and predict various phenomena in the design of tram lines in earthworks, tunnels, and bridge sections, the line constants of AC tram lines should be given. The impedance and susceptance for the group are calculated, and the power is analyzed by the line constant of the 5 conductor group to perform various electric railway system phenomena (ie, the voltage and voltage drop added to the electric railway vehicle through the electric railway system). Degree, etc.) can be interpreted and predicted.
In this case, re-entry by changing each conductor type, thickness, and geometry of the double-wire, and after calculating the equivalent impedance and susceptibility of the five conductor group to the re-input values, outputs the equivalent line constant of the five conductor group and performs power analysis After repeating the process, the optimum conductor and structure can be designed considering the geometry of the conductor by selecting and designing the optimal conductor and structure that can provide the lowest voltage fluctuations and high quality power.

Although described with reference to the embodiments above, those skilled in the art will understand that the present invention can be variously modified and changed without departing from the spirit and scope of the invention as set forth in the claims below. Could be.

The present invention relates to a method for designing a tramway of an AC electric railway system, and more specifically, to design a tramline in a earthwork and tunnel bridge section, each track constant for each of the five conductor groups constituting the tramway system in an actual system. The present invention relates to a tramline design method for an AC electric railway system that can calculate and analyze and predict various phenomena of an AC electric railway system by using this line constant.

1 is a view showing the geometrical structure of a railway tramway system applied to an embodiment of the present invention,

2 is a flowchart illustrating a method for designing a tramway line of an AC electric railway system according to an embodiment of the present invention;

3 is a diagram illustrating magnetic impedance of a group of conductors according to an embodiment of the present invention;

4 is a diagram illustrating mutual impedance between a conductor group and a conductor according to an embodiment of the present invention;

5 is a diagram illustrating mutual impedance between a conductor group and a conductor group according to an embodiment of the present invention;

6 is a diagram illustrating an equalization process of a catenary line impedance in an embodiment of the present invention;

7 is a diagram illustrating a relationship between capacitance and induction coefficient for two conductors according to an embodiment of the present invention;

FIG. 8 is a diagram showing charge and potential calculation structures according to an image and a distance between the conductors and ground in an embodiment of the present invention; FIG.

9 is a cross-sectional view of the tram line of the earthworks section according to an embodiment of the present invention,

10 is a cross-sectional view of the tram line in the tunnel section according to an embodiment of the present invention,

11 is a cross-sectional view of a tram line in a bridge section according to an embodiment of the present invention.

Claims (5)

In the catenary line design method of an AC electric railway system composed of a plurality of conductors, Inputting the conductor data of each conductor of the double-wire, calculating a line constant consisting of impedance and susceptance for all conductors; Classifying the connected conductors into equipotential conductors and classifying the conductors into predetermined conductor groups, equalizing the separated conductor groups by an equivalent modeling method, and outputting an equivalent line constant; Analyzing power by the equivalent line constant output in the step; Changing and re-entering the conductor data of each conductor of the double-wire after the power analysis; Importing the re-inputted conductor data, calculating the line constants of all conductors, equalizing the conductors, outputting the equivalent line constants of each conductor group, and outputting the optimal catenary system after performing the power analysis process. , The conductor data is data on the geometry, material, size, electrical properties such as height, distance between conductors, radius, and permeability for each conductor, After dividing the equipotential conductor into a predetermined group of conductors, the ascending feeder is the first conductor group, the descending feeder is the second conductor group, the ascending tram line and the ascending tramp line, the third conductor group, the descending tram line and the descending tram line. A method for designing a catenary system for an alternating current electric railway system, wherein the fourth conductor group, the rail, the overhead protective line, and the ground line are divided into the fifth conductor group. delete delete delete The method of claim 1, The outputting of the tramline system, the tramway design method of the AC electric railway system, characterized in that the tramway design for all sections of the electric railway system of earthworks, tunnels, bridges.

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