Conductive spiral wiring method

Abstract

The present invention discloses a wiring method for a conductive spiral. The wiring trajectory of the circuit is determined by a polar coordinate exponential spiral formula #imgabs0#, wherein: r0 is the base circle radius; k is the spiral expansion rate coefficient, 1<k or 0<k<1; θ is the polar angle, in the interval 0≤θ; ρ is the polar radius of the polar coordinate equation; when 1<k, as the polar angle increases, the circuit spirals outward in a counterclockwise direction from a point on the base circle; when 0<k<1, as the polar angle increases, the circuit spirals inward in a counterclockwise direction from a point on the base circle until it ends at a predetermined point. In this application, the voltage difference between points on two adjacent turns of the spiral with a polar angle difference of 2π is proportional to the distance between the two points. The voltage changes uniformly from the inside to the outside along the spiral. In the radial direction, from the inside to the outside, the insulation margin can be avoided from being too large while ensuring sufficient insulation between turns, and the wiring space can also be effectively utilized.

Description

Technical Field

[0001] The present invention relates to the technical field of conductive wiring, and in particular to a wiring method for conductive spirals. Background Art

[0002] When current flows through a spiral with the same resistance per unit length, when there is a voltage difference between the starting point and the end point of the spiral, the voltage drop of the two adjacent turns is different due to the different arc lengths of the two adjacent turns of the spiral.

[0003] When wiring an Archimedean spiral, the voltage change between two adjacent turns is different for the same resistance per unit length. For the same distance between turns, the insulation size for the turns with the minimum voltage drop and the insulation distance for the turns with the maximum voltage drop are the same. For the turns with the minimum voltage drop, the insulation distance is excessive. The voltage change rate increases gradually from the inside of the spiral to the outside, and the electric field strength also increases. The insulation margin between turns near the inner turn is larger, resulting in uneven voltage change from the inside out of the conductive spiral.

[0004] Therefore, how to achieve uniform voltage change from the inside to the outside of the conductive spiral, ensure that the electric field strength is close to uniform, effectively utilize the wiring space, and reduce excess insulation margin is a technical problem that needs to be urgently solved by those skilled in the art. Summary of the Invention

[0005] The purpose of the present invention is to provide a wiring method for a conductive spiral, which can realize uniform voltage change from the inside to the outside of the conductive spiral.

[0006] To achieve the above object, the present invention provides a wiring method for a conductive spiral, wherein the wiring trajectory is determined by a polar coordinate exponential spiral formula Determine, where: r0 is the base circle radius; k is the spiral expansion rate coefficient, 1<k or 0<k<1; θ is the polar angle, interval 0≤θ; ρ is the polar radius of the polar coordinate equation;

[0007] When 1 < k, as the polar angle increases, the line starts from a point on the base circle and spirals outward in a counterclockwise direction;

[0008] When 0<k<1, as the polar angle increases, the line starts from a point on the base circle and spirals inward in a counterclockwise direction until it ends at a predetermined point.

[0009] Preferably, the point (θ, r0) and the point The arc between and point The ratio of the arc lengths between them is 1:k.

[0010] Preferably, the point (θ, r0) and the point The distance between and point The distance ratio between them is 1:k.

[0011] Preferably, the point (θ, r0) on the spiral and the point The arc length between and point The distance ratio is a constant value E.

[0012] Preferably, the circuits are conductive circuits with equal resistivity.

[0013] Preferably, there is one line.

[0014] Preferably, there are at least two lines.

[0015] Preferably, all the line base circles are concentric and evenly distributed around the circumference.

[0016] Preferably, all the line base circles are concentric and non-uniformly distributed around the circumference.

[0017] Preferably, there are three, four or five lines.

[0018] In the above technical solution, the wiring method of the conductive spiral provided by the present invention, the wiring trajectory of the line is represented by a polar coordinate exponential spiral formula Determine, where: r0 is the base circle radius; k is the spiral expansion rate coefficient, 1<k or 0<k<1; θ is the polar angle, interval 0≤θ; ρ is the polar radius of the polar coordinate equation;

[0019] When 1 < k, the line starts from a point on the base circle and spirals outward in a counterclockwise direction;

[0020] When 0<k<1, the line starts from a point on the base circle and spirals inward in a counterclockwise direction until it ends at a predetermined point.

[0021] From the above description, it can be seen that in the wiring method of the conductive spiral provided by the present application, since the point (θ, r0) and the point The arc length between and point The distance ratio is a constant value, E. When the resistance per unit length of the spiral is constant and there is a voltage difference between the starting and ending points of the spiral, the voltage difference between two adjacent turns with a polar angle difference of 2π is proportional to the distance between the two points. This shows that the voltage varies uniformly from the inside to the outside of the spiral, and the electric field strength between different turns is approximately the same, and the electric field strength is approximately the same throughout the spiral. Furthermore, while ensuring sufficient insulation between turns, excessive insulation margins can be avoided, and space for wiring can be effectively utilized. BRIEF DESCRIPTION OF THE DRAWINGS

[0022] In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the following briefly introduces the drawings required for use in the embodiments or the description of the prior art. Obviously, the drawings described below are merely embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on the provided drawings without paying any creative work.

[0023] Figure 1 A schematic diagram of the wiring structure of the traditional Archimedean spiral;

[0024] Figure 2 A schematic structural diagram of a conductive spiral provided by an embodiment of the present invention;

[0025] Figure 3 An exponential spiral curve diagram of a conductive spiral provided by an embodiment of the present invention;

[0026] Figure 4 A distribution diagram with a conductive spiral provided by an embodiment of the present invention;

[0027] Figure 5 A distribution diagram with two conductive spirals provided by an embodiment of the present invention;

[0028] Figure 6 A distribution diagram of three conductive spirals provided by an embodiment of the present invention;

[0029] Figure 7 This is a distribution diagram of four conductive spirals provided by an embodiment of the present invention. DETAILED DESCRIPTION

[0030] The core of the present invention is to provide a wiring method for a conductive spiral, so as to achieve uniform voltage change from the inside to the outside of the conductive spiral.

[0031] In order to enable those skilled in the art to better understand the technical solution of the present invention, the present invention is further described in detail below with reference to the accompanying drawings and implementation methods.

[0032] Please refer to Figures 1 to 3 In a specific embodiment, the wiring method of the conductive spiral provided by the specific embodiment of the present invention, the wiring trajectory is represented by a polar coordinate exponential spiral formula Determine, where: r0 is the base circle radius; k is the spiral expansion rate coefficient, 1<k or 0<k<1; θ is the polar angle, interval 0≤θ; ρ is the polar radius of the polar coordinate equation.

[0033] When 1<k, as the polar angle increases, the line spirals outward in a counterclockwise direction starting from a point on the base circle.

[0034] When 0<k<1, as the polar angle increases, the line starts from a point on the base circle and spirals inward in a counterclockwise direction until it ends at a predetermined point.

[0035] Preferably, the lines are conductive lines with equal resistivity.

[0036] Specifically, point (θ, r0) and point The arc between and point The ratio of the arc lengths between them is 1:k.

[0037] Specifically, point (θ, r0) and point The distance between and point The distance ratio between them is 1:k.

[0038] The wiring trajectory can be counterclockwise or clockwise; the starting point can expand outward from the base circle or shrink inward.

[0039] The present invention takes a spiral extending counterclockwise outward as an example to illustrate that when wiring according to the scheme provided by the present invention, the voltage difference between points with a polar angle difference of 2π on two adjacent turns of the spiral and the ratio of the distance between the two points are constant, and the voltage of the spiral changes uniformly from the inside to the outside.

[0040] Let the polar coordinate equation of the exponential spiral A be r0=100,k=1.5,0≤θ≤8π,ρ is the polar radius of the polar coordinate equation, θ is the polar angle. The spiral starts from the point (0, 20) on the base circle and spirals outward in the counterclockwise direction until the point (8π, r 8π )Finish.

[0041] From the characteristics of the exponential spiral, it can be seen that the spiral proposed by the present invention has the following characteristics:

[0042] Point (θ, r0) and point The arc between and point The arc length ratio is 1:k, or 1:1.5;

[0043] Point (θ, r0) and point The distance between and point The distance ratio is 1:k, or 1:1.5.

[0044] Point (θ, r0) and point The arc length between and point The distance ratio is a constant value E.

[0045] Use drawing software to draw the exponential spiral A, see Figure 1 .

[0046] The points on the spiral with polar angles of 0, 2π, 4π, 6π, and 8π are P 4π 、P 6π ,...P 2nπ and P 2nπ Their polar angles and polar radii are shown in Table 1, and their distances and arc lengths are shown in Table 2. Calculate arc length The distance from the start to the end of the arc The ratio is 1.525, that is

[0047] Table 1 Point polar angle and polar radius

[0048] point <![CDATA[P0]]> <![CDATA[P 2π ]]> <![CDATA[P 4π ]]> <![CDATA[P 6π ]]> <![CDATA[P 8π ]]> Polar radius 0 <![CDATA[ρ 2π ]]> <![CDATA[ρ 4π ]]> <![CDATA[ρ 6π ]]> <![CDATA[ρ 8π <!-- 3 -->]]> Polar angle 0 2π 4π 6π 8π

[0049] Table 2 Arc length and distance between points and ratio of arc length to distance

[0050]

[0051]

[0052] Combine Figure 1 and Figure 2 Comparing the following figures made according to the Archimedean spiral and the spiral proposed by the present invention, the starting point and the end point of the outermost circle of the two spirals are both 33.75 away, and when the base circle is 20, 2.41 turns are obtained by wiring according to the Archimedean spiral, and the number of complete turns is 2 turns. When wiring according to the exponential spiral, 4 complete turns are obtained.

[0053] From the above description, it can be seen that in the wiring method of the conductive spiral provided in the specific embodiment of the present application, since the point (θ, r0) and the point The arc length between and point The distance ratio is a constant value, E. When the resistance per unit length of the spiral is constant and there is a voltage difference between the starting and ending points of the spiral, the voltage difference between two adjacent turns with a polar angle difference of 2π is proportional to the distance between the two points. This shows that the voltage varies uniformly from the inside to the outside of the spiral, and the electric field strength between different turns is approximately the same, and the electric field strength is approximately the same throughout the spiral. Furthermore, while ensuring sufficient insulation between turns, excessive insulation margins can be avoided, and space for wiring can be effectively utilized.

[0054] When voltage exists at the starting and ending points of the route, the voltage changes evenly from the inside to the outside along the spiral, and changes evenly from the inside to the outside in the radial direction, and the electric field strength is within a certain range.

[0055] At the same time, according to the wiring of the present invention, under the premise of ensuring sufficient insulation between two connected turns, space can be effectively utilized for wiring.

[0056] During specific implementation, the number of lines may be one or at least two.

[0057] Preferably, when there are at least two lines, all line base circles are concentric and evenly distributed around the circumference. All line first endpoints near the center are evenly distributed around the circumference of the concentric circle. All line second endpoints away from the center are evenly distributed around the circumference of the other concentric circle.

[0058] Of course, during the specific routing process, all lines are concentric and non-uniformly distributed around the circumference. For example, the circumferential spacing of the first endpoints of all lines close to the center of the circle on the concentric circle increases or decreases sequentially. The circumferential spacing of the second endpoints of all lines far from the center of the circle on the other concentric circle increases or decreases sequentially.

[0059] Specifically, the number of lines is three, four, or five. In this application, the line can be a conductive spiral such as Figure 4 As shown, it includes a conductive spiral A1. Figure 5 As shown, there are two circuits, namely conductive spiral A1 and conductive spiral A2. Figure 6 As shown, there are three circuits, namely conductive spiral A1, conductive spiral A2 and conductive spiral A3. Figure 7 As shown, there are four circuits, namely conductive spiral A1, conductive spiral A2, conductive spiral A3 and conductive spiral A4. Of course, in the actual wiring process, the number of circuits can be greater than four, such as 5-10.

[0060] The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments. The same or similar parts between the various embodiments can be referenced to each other.

[0061] The above description of the disclosed embodiments is intended to enable one skilled in the art to implement or use the present invention. Various modifications to these embodiments will be readily apparent to one skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention is not limited to the embodiments shown herein but is intended to conform to the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for wiring a conductive spiral, characterized in that: The trajectory of the line routing is given by a polar coordinate exponential spiral formula Determine, where: r0 is the base circle radius; k is the spiral expansion rate coefficient, 1<k or 0<k<1; θ is the polar angle, interval 0≤θ; ρ is the polar radius of the polar coordinate equation; When 1 < k, as the polar angle increases, the line starts from a point on the base circle and spirals outward in a counterclockwise direction; When 0<k<1, as the polar angle increases, the line starts from a point on the base circle and spirals inward in a counterclockwise direction until it ends at a predetermined point; Point (θ, r0) and point The arc between and point The ratio of the arc lengths between them is 1:k; Point (θ, r0) and point The distance between and point The distance ratio between them is 1:k; The point (θ, r0) on the spiral and the point The arc length between and point The distance ratio is a constant value E; The circuits are conductive circuits with equal resistivity; When voltage exists at the starting point and the ending point of the line, the voltage changes evenly from the inside to the outside along the spiral, and the voltage changes evenly from the inside to the outside in the radial direction.

2. The conductive spiral wiring method according to claim 1, wherein: The line is one.

3. The conductive spiral wiring method according to claim 1 or 2, characterized in that: There are at least two lines.

4. The wiring method of the conductive spiral according to claim 3, characterized in that: All the line base circles are concentric and evenly distributed around the circumference.

5. The wiring method of the conductive spiral according to claim 3, characterized in that: All the line base circles are concentric and non-uniformly distributed around the circumference.

6. The wiring method of the conductive spiral according to claim 3, characterized in that: The number of the lines is three, four or five.

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