Method for determining the inductance of the outermost half turn of a non-equal-width spiral inductance on a non-integer number of turns
By equivalently determining the self-inductance and mutual inductance of the entire closed-loop metal, the problem of accurately calculating the inductance value of the outermost half-turn of a non-integer spiral inductor with non-equal width on a non-integer coil sheet is solved, enabling rapid and accurate determination of the inductance value and improving circuit design efficiency.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Patents(China)
- Current Assignee / Owner
- TSINGHUA UNIVERSITY
- Filing Date
- 2022-12-05
- Publication Date
- 2026-07-21
AI Technical Summary
Existing technologies make it difficult to quickly and accurately determine the inductance value of the outermost half-turn of a non-integer spiral inductor on a non-integer coil, leading to increased circuit design time and low efficiency.
By determining half of the equivalent total self-inductance of the closed metal loop as the self-inductance of the outermost half-loop of the non-equal-width spiral inductor on the non-integer loop, and by determining half of the equivalent total mutual inductance between the outermost closed metal loop and other closed metal loops within it as the mutual inductance between the outermost half-loop of the non-equal-width spiral inductor on the non-integer loop, and by combining the self-inductance and mutual inductance, the inductance value of the outermost half-loop of the non-equal-width spiral inductor on the non-integer loop is calculated.
It enables the rapid and accurate determination of the inductance value of the outermost half-turn of the metal in a non-integer-turn, non-equal-width spiral inductor on a chip, simplifying the circuit design process and saving parameter optimization time.
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Figure CN115983181B_ABST
Abstract
Description
Technical Field
[0001] This application relates to the field of radio frequency circuit design and application, specifically to a method for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor. Background Technology
[0002] Conventional on-chip spiral inductors with equal width and spacing are widely used in various RF integrated circuits, such as filters, oscillators, power amplifiers, and mixers. Some theoretical analyses and experimental results show that the appropriate use of non-uniform width spiral inductors can reduce losses, achieve a higher quality factor, and thus improve circuit performance.
[0003] In practical circuit applications, many single-ended circuits can only use non-integer-turn inductors due to layout limitations of on-chip spiral inductors; therefore, the design and analysis of non-integer-turn inductors are more practically significant than the integer-turn inductors used in symmetrical circuits.
[0004] Inductor design typically relies on electromagnetic simulation tools to iterate and optimize initial inductance parameters to meet practical application requirements. On the other hand, inductor design requires precise control of the inductance value needed for the actual circuit; however, various general-purpose electromagnetic simulators often consume a significant amount of simulation time, leading to the development of numerical calculation methods.
[0005] Most existing numerical calculation methods can only analyze integer-turn inductors with relatively high accuracy; or the calculation process is cumbersome and difficult to implement quickly. Based on the layout parameters of non-integer-turn, non-uniform-width spiral inductors on a chip, a numerical calculation method for the outermost half-turn inductor, applicable to any polygonal spiral shape and with a unified calculation form, is obtained. This method can be integrated into some numerical calculation methods for integer-turn, non-uniform-width inductors, and applied to the initial design of non-integer-turn, non-uniform-width spiral inductors on a chip, saving parameter optimization time and accelerating the circuit design process. Summary of the Invention
[0006] To address the problems in the prior art, this application provides a method for determining the inductance of the outermost half-turn of a non-integer coiled spiral inductor with non-equal width, which can more accurately determine the inductance value of the outermost half-turn of the metal in a non-integer coiled spiral inductor with non-equal width.
[0007] To solve at least one of the above problems, this application provides the following technical solution:
[0008] In a first aspect, this application provides a method for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor, including:
[0009] Half of the equivalent total self-inductance of the closed metal loop is determined as the self-inductance of the outermost half of the metal loop of the non-equal width spiral inductor on the non-integer loop plate.
[0010] Half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside is determined as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-equal width spiral inductor on the non-integer loop piece.
[0011] The inductance value of the outermost half-turn metal of the non-equal width spiral inductor on the non-integer coil is determined based on the sum of the self-inductance value of the outermost half-turn metal and the inner spiral metal of the non-integer coil.
[0012] Further, determining half of the equivalently determined total self-inductance of the entire closed-loop metal as the self-inductance of the outermost half-loop metal of the non-equal-width spiral inductor on the non-integer loop includes:
[0013] Based on the equivalently determined closed metal center diameter, metal thickness, metal width, insulating medium permeability constant, and helical correlation coefficients corresponding to different regular polygons, the total self-inductance of the equivalently determined regular polygon closed metal is determined.
[0014] Half of the total self-inductance of the equivalently determined regular polygonal closed metal loop is determined as the self-inductance of the outermost half of the metal loop of the non-equal width spiral inductor on the non-integer coil plate.
[0015] Further, before determining the total self-inductance of the entire closed loop of the equivalent regular polygon based on the equivalently determined closed metal center diameter, metal thickness, metal width, insulating medium permeability constant, and helical correlation coefficients corresponding to different regular polygons, the following steps are included:
[0016] Based on the inner diameter of the non-uniform width spiral inductor on the non-integer coil and the line width and spacing from the inside to the outside, determine the equivalent closed metal center diameter, metal width, and metal thickness.
[0017] Further, the step of determining half of the total mutual inductance between the outermost full-turn closed metal and other inner full-turn closed metal as the mutual inductance between the outermost half-turn metal and the inner spiral metal of the non-integer turn non-equal width spiral inductor includes:
[0018] Based on the equivalently determined center diameter of each closed metal ring, the width of each closed metal ring, the center spacing between each metal ring, the magnetic permeability constant of the insulating medium, and the helical correlation coefficient corresponding to different regular polygons, the total mutual inductance between the equivalently determined outermost closed metal ring and other internal closed metal rings is determined.
[0019] Half of the total mutual inductance between the outermost closed loop of metal and the other closed loops of metal inside is determined as the mutual inductance between the outermost half loop of metal and the inner spiral metal of the non-equal width spiral inductor on the non-integer loop plate.
[0020] Further, before determining the total mutual inductance between the outermost closed loop of metal and other inner closed loops based on the equivalently determined center diameter of each closed loop, the width of each closed loop, the center spacing between each closed loop, the magnetic permeability constant of the insulating medium, and the helical correlation coefficient corresponding to different regular polygons, the following steps are included:
[0021] Based on the inner diameter of the non-equal width spiral inductor on the non-integer coil and the line width and spacing from the inside to the outside, determine the equivalent center diameter of each closed metal coil, the width of each closed metal coil, and the center spacing between each metal coil.
[0022] Secondly, this application provides a device for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor, comprising:
[0023] The self-inductance determination module is used to determine half of the equivalently determined total self-inductance value of the entire closed metal loop as the self-inductance value of the outermost half-loop of the non-integer loop spiral inductor on the non-integer loop sheet.
[0024] The mutual inductance determination module is used to determine half of the total mutual inductance value between the outermost full-turn closed metal and other internal full-turn closed metals as the mutual inductance value between the outermost half-turn metal and the inner spiral metal of the non-integer turn non-equal width spiral inductor on the non-integer turn piece.
[0025] The outer half-turn inductance determination module is used to determine the inductance value of the outer half-turn metal of the non-integer coil with non-equal width spiral inductor based on the self-inductance value of the outermost half-turn metal of the non-integer coil with non-equal width spiral inductor and the sum of the mutual inductance values of the outermost half-turn metal of the non-integer coil with non-equal width spiral inductor and the inner spiral metal.
[0026] Furthermore, the self-sensing determination module includes:
[0027] The total self-inductance value determination unit is used to determine the total self-inductance value of the equivalently determined closed metal circle based on the equivalently determined closed metal center diameter, metal thickness, metal width, insulating medium permeability constant, and helical correlation coefficients corresponding to different regular polygons.
[0028] The outer half-circle self-inductance determination unit is used to determine half of the total self-inductance value of the equivalent determined regular polygonal full-circle closed metal as the self-inductance value of the outermost half-circle metal of the non-integer coil on the non-equal width spiral inductor.
[0029] Furthermore, the mutual inductance determination module includes:
[0030] The total mutual inductance value determination unit is used to determine the total mutual inductance value between the outermost closed metal circle and other closed metal circles based on the equivalently determined center diameter of each closed metal circle, the width of each closed metal circle, the center distance between each metal circle, the magnetic permeability constant of the insulating medium, and the spiral correlation coefficient corresponding to different regular polygons.
[0031] The outer half-turn mutual inductance determination unit is used to determine half of the total mutual inductance value between the outermost full-turn closed metal and other inner full-turn closed metals as the mutual inductance value between the outermost half-turn metal and the inner spiral metal of the non-integer turn non-equal width spiral inductor on the non-integer turn piece.
[0032] Thirdly, this application provides an electronic device, including a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the program to implement the steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip.
[0033] Fourthly, this application provides a computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip.
[0034] Fifthly, this application provides a computer program product, including a computer program / instruction that, when executed by a processor, implements the steps of the method for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor.
[0035] As can be seen from the above technical solution, this application provides a method for determining the inductance of the outermost half-turn of a non-integer coiled spiral inductor with non-equal width. This method involves determining half of the total self-inductance of the equivalently determined full-turn closed metal as the self-inductance value of the outermost half-turn of the non-integer coiled spiral inductor; determining half of the total mutual inductance between the equivalently determined outermost full-turn closed metal and other internal full-turn closed metals as the mutual inductance value between the outermost half-turn of the non-integer coiled spiral inductor and the internal spiral metals; and determining the inductance value of the outermost half-turn of the non-integer coiled spiral inductor based on the sum of the self-inductance value of the outermost half-turn of the non-integer coiled spiral inductor and the mutual inductance value between the outermost half-turn of the non-integer coiled spiral inductor and the internal spiral metals. This allows for a relatively accurate determination of the inductance value of the outermost half-turn of the non-integer coiled spiral inductor. Attached Figure Description
[0036] To more clearly illustrate the technical solutions in the embodiments of this application or the prior art, the drawings used in the description of the embodiments or the prior art will be briefly introduced below. Obviously, the drawings described below are some embodiments of this application. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.
[0037] Figure 1 This is one of the flowcharts illustrating the method for determining the outermost half-turn inductance of a non-equal-width spiral inductor on a non-integer coil in this application embodiment;
[0038] Figure 2 This is the second flowchart illustrating the method for determining the outermost half-turn inductance of a non-integer spiral inductor on a non-equal-width spiral in an embodiment of this application.
[0039] Figure 3 This is the third flowchart illustrating the method for determining the outermost half-turn inductance of a non-integer spiral inductor on a non-equal-width spiral in this application embodiment;
[0040] Figure 4 This is one of the structural diagrams of the device for determining the outermost half-turn inductance of a non-integer spiral inductor on a non-equal width spiral in an embodiment of this application;
[0041] Figure 5 This is the second structural diagram of the device for determining the outermost half-turn inductance of a non-integer spiral inductor on a non-equal width spiral inductor in an embodiment of this application.
[0042] Figure 6 This is the third structural diagram of the device for determining the outermost half-turn inductance of a non-integer spiral inductor on a non-equal width spiral inductor in this embodiment of the application.
[0043] Figure 7 This is a schematic diagram of a 3.5-turn hexagonal non-uniform width spiral inductor;
[0044] Figure 8 for Figure 7 The diagram shown illustrates that the outermost half of the metal in a 3.5-turn hexagonal non-uniform width spiral inductor is equivalent to a full-turn closed hexagonal metal loop.
[0045] Figure 9 A schematic diagram for calculating the self-inductance of a single-turn regular hexagonal closed metal loop;
[0046] Figure 10 for Figure 7 The diagram shown illustrates that the outermost half-turn of the 3.5-turn hexagonal non-equal-width spiral inductor and the other metals inside the non-integer-turn spiral inductor corresponding to the outermost half-turn are equivalent to 4 turns of concentric closed hexagonal metal.
[0047] Figure 11 A schematic diagram for calculating the mutual inductance between two closed hexagonal metal rings of non-equal width;
[0048] Figure 12 A schematic diagram of a 3.5-turn square non-uniform width spiral inductor;
[0049] Figure 13 This is a schematic diagram of a 3.5-turn octagonal non-uniform width spiral inductor;
[0050] Figure 14 This is a schematic diagram of the structure of the electronic device in the embodiments of this application. Detailed Implementation
[0051] To make the objectives, technical solutions, and advantages of the embodiments of this application clearer, the technical solutions of the embodiments of this application will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of this application, not all embodiments. Based on the embodiments of this application, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of this application.
[0052] The acquisition, storage, use, and processing of data in this application all comply with the relevant provisions of national laws and regulations.
[0053] In view of the problems existing in the prior art, this application provides a method and apparatus for determining the inductance of the outermost half-turn of a non-integer coiled spiral inductor with non-equal width. The method involves determining half of the total self-inductance of the equivalently determined full-turn closed metal as the self-inductance value of the outermost half-turn of the non-integer coiled spiral inductor; determining half of the total mutual inductance between the equivalently determined outermost full-turn closed metal and other internal full-turn closed metals as the mutual inductance value between the outermost half-turn of the non-integer coiled spiral inductor and the internal spiral metals; and determining the inductance value of the outermost half-turn of the non-integer coiled spiral inductor based on the sum of the self-inductance value of the outermost half-turn of the non-integer coiled spiral inductor and the mutual inductance value between the outermost half-turn of the non-integer coiled spiral inductor and the internal spiral metals. This allows for a more accurate determination of the inductance value of the outermost half-turn of the non-integer coiled spiral inductor.
[0054] To accurately determine the inductance value of the outermost half-turn of a non-uniform width spiral inductor on a non-integer coil plate, this application provides an embodiment of a method for determining the inductance of the outermost half-turn of a non-uniform width spiral inductor on a non-integer coil plate. See [link to embodiment]. Figure 1 The method for determining the outermost half-turn inductance of the non-integer-turn, non-equal-width spiral inductor on the non-integer-turn sheet specifically includes the following:
[0055] Step S101: Determine half of the equivalent total self-inductance of the closed metal loop as the self-inductance of the outermost half of the non-equal width spiral inductor on the non-integer loop plate.
[0056] Optionally, the non-integer-turn, non-equal-width spiral inductor on the non-integer-turn sheet in this application can be determined by the number of sides N, the number of turns n, the metal thickness t, and the inner diameter d. in Line widths w1, w2, ..., w from the inside out m With spacing s1, s2, ..., s m-1 Let m be the decimal of the form x.5, and m be the smallest integer of n rounded up.
[0057] Optionally, this application can divide the calculation of the inductance of the outermost half-turn of an arbitrarily polygonal non-uniform width spiral inductor on a non-integer coil sheet into the self-inductance of the outermost half-turn metal and its mutual inductance with the inner spiral metal: the outermost half-turn metal is equivalent to a full-turn closed metal, and its self-inductance is determined to be half of the self-inductance of the full-turn closed metal; the outermost half-turn metal and other metals inside the non-integer coil spiral inductor corresponding to the outermost half-turn are equivalent to a series of concentric closed metals, and their mutual inductance is determined to be half of the total mutual inductance between the outermost closed metal and all the concentric closed metals inside, thereby determining the inductance value of the outermost half-turn metal of the non-uniform width spiral inductor on a non-integer coil sheet, including the following steps:
[0058] 1. The outermost half-turn of a non-uniform width polygonal spiral inductor with n turns (n is a decimal in the form of x.5) is equivalent to a full-turn closed metal loop of a regular polygon. The width of the equivalent closed metal loop is w. m The metal thickness t remains constant, and the center diameter is:
[0059]
[0060] Where w i s i (i = 1, 2, ..., m-1); w m d represents the line width and spacing of the non-uniform width spiral inductor from the inside to the outside, respectively. in This indicates the inner diameter of a non-uniform width spiral inductor.
[0061] 2. The formula for calculating the self-inductance of a closed loop of regular polygonal metal is:
[0062]
[0063]
[0064] Where μ is the magnetic permeability constant of the insulating medium, b1, b2, b3, b4 are the correlation coefficients of different regular polygonal helices in the table above, w is the width of the closed metal, t is the metal thickness, and d is the center diameter of the closed metal.
[0065] 3. The closed metal parameters w obtained in step 1 m ,t,d mSubstituting the self-inductance calculation formula for the full loop of closed metal in the regular polygon obtained in step 2, and taking half of the calculation result as the self-inductance of the outermost half loop of metal in the non-integer loop on the sheet with non-equal width spiral inductance:
[0066]
[0067] Step S102: Determine half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0068] Optionally, the outermost half-turn of an n-turn (n being a decimal in the form of x.5) on-chip arbitrary polygonal non-uniform width spiral inductor and the other metal turns inside the non-integer-turn spiral inductor corresponding to the outermost half-turn are equivalent to m-turn (m being the smallest integer n rounded up) regular polygonal concentric closed metal turns. After equivalence, the line width and spacing from the inside to the outside remain unchanged, still w1, w2, ..., w m With s1, s2, ..., s m-1 The center diameter of each closed metal ring is:
[0069] d1=d in +w1
[0070]
[0071] Where d1 represents the center diameter of the first closed metal ring, d j (j = 2, 3, ..., m) represents the center diameter of the j-th closed metal ring.
[0072] The formula for calculating the mutual inductance between any two closed metal rings of non-uniform width regular polygons is:
[0073]
[0074]
[0075]
[0076] Where d1 and d2 are the center diameters of the first and second closed metal rings, respectively, d 12 Let w1 be the average diameter between the first and second concentric closed metal rings that are not of equal width, and w2 be the widths of the first and second closed metal rings, respectively. ρ 12 pitch is an intermediate variable in the calculation process. 12 The center spacing is the distance between the non-equal-width concentric closed metals of the first and second rings, and all other known parameters or coefficients remain consistent with step 2.
[0077] Optionally, in this application, the mutual inductance between the outermost half-turn metal and the inner spiral metal of the non-equal width spiral inductor on the non-integer coil is determined to be half of the total mutual inductance between the outermost full-turn closed metal and the other inner full-turn closed metals obtained above. The calculation formula is as follows:
[0078]
[0079] Where M i，m This represents the mutual inductance between the i-th (i = 1, 2, ..., m-1)-th inner closed metal ring and the m-th outermost closed metal ring after the equivalent transformation. Its calculation parameters and formulas can be obtained from the above steps.
[0080] Step S103: Determine the inductance value of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil based on the sum of the self-inductance value of the outermost half-turn metal and the inner spiral metal of the non-integer spiral inductor on the non-integer coil.
[0081] Optionally, the inductance value of the outermost half-turn of the metal in the non-integer-turn, non-equal-width spiral inductor on the chip in this application is calculated as follows:
[0082] L tot =L self +M tot
[0083] Where L self Calculate M according to the self-inductance calculation method for the outermost half-circle metal described in step 3. tot The total mutual inductance between the outermost half-circle metal and the inner spiral metal is calculated according to the aforementioned method.
[0084] Therefore, it can be seen that this application can achieve at least the following technical effects:
[0085] 1. The intermediate process uses the full-turn inductance calculation formula, which is applicable to non-uniform width spiral inductors on any polygonal chip. Different polygonal inductors only differ in their initial coefficients.
[0086] 2. The calculation method is standardized, making it easy to write numerical programs and reusable.
[0087] 3. It can be integrated into some numerical calculation methods for integer-turn non-uniform-width inductors, and thus applied to the initial design of non-integer-turn on-chip non-uniform-width spiral inductors.
[0088] As can be seen from the above description, the method for determining the inductance of the outermost half-turn of a non-integer spiral inductor with non-equal width on a non-integer coil sheet provided in this application embodiment can determine the self-inductance value of the outermost half-turn of the non-integer spiral inductor with non-equal width on a non-integer coil sheet by determining half of the total self-inductance value of the equivalently determined full-turn closed metal as the mutual inductance value between the outermost half-turn of the non-integer spiral inductor with non-equal width and the inner spiral metal; and determine the inductance value of the outermost half-turn of the non-integer spiral inductor with non-equal width on a non-integer coil sheet based on the sum of the self-inductance value of the outermost half-turn of the non-integer spiral inductor with non-equal width and its mutual inductance value with the inner spiral metal. This allows for a relatively accurate determination of the inductance value of the outermost half-turn of the non-integer spiral inductor with non-equal width on a non-integer coil sheet.
[0089] In one embodiment of the method for determining the outermost half-turn inductance of a non-equal-width spiral inductor on a non-integer coil in this application, see [link to embodiment]. Figure 2 The above step S101 may also specifically include the following:
[0090] Step S201: Determine the equivalent total self-inductance of the closed metal of the non-uniform width spiral inductor on the non-integer coil based on the center diameter of the closed metal, the metal thickness, the metal width, the magnetic permeability constant of the insulating medium, and the spiral correlation coefficient corresponding to different regular polygons.
[0091] Step S202: Determine half of the total self-inductance value of the equivalent determined regular polygonal closed metal as the self-inductance value of the outermost half of the non-equal width spiral inductor on the non-integer coil.
[0092] In one embodiment of the method for determining the outermost half-turn inductance of a non-equal-width spiral inductor on a non-integer coil in this application, the method may further include the following before step S201:
[0093] Based on the inner diameter of the non-uniform width spiral inductor on the non-integer coil and the line width and spacing from the inside to the outside, determine the equivalent closed metal center diameter, metal width, and metal thickness.
[0094] In one embodiment of the method for determining the outermost half-turn inductance of a non-equal-width spiral inductor on a non-integer coil in this application, see [link to embodiment]. Figure 3 The above step S102 may also specifically include the following:
[0095] Step S301: Based on the equivalently determined center diameter of each closed metal loop, the width of each closed metal loop, the center distance between each metal loop, the magnetic permeability constant of the insulating medium, and the helical correlation coefficient corresponding to different regular polygons, determine the total mutual inductance value between the equivalently determined outermost closed metal loop and the other inner closed metal loops.
[0096] Step S302: Determine half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0097] In one embodiment of the method for determining the outermost half-turn inductance of a non-equal-width spiral inductor on a non-integer coil in this application, the following may be included before step S301:
[0098] Based on the inner diameter of the non-equal width spiral inductor on the non-integer coil and the line width and spacing from the inside to the outside, determine the equivalent center diameter of each closed metal coil, the width of each closed metal coil, and the center spacing between each metal coil.
[0099] To accurately determine the inductance value of the outermost half-turn of a non-integer-wound spiral inductor on a non-integer-wound plate, this application provides an embodiment of a device for determining the outermost half-turn inductance of a non-integer-wound spiral inductor on a non-integer-wound plate, which implements all or part of the aforementioned method for determining the outermost half-turn inductance of a non-integer-wound spiral inductor on a non-integer-wound plate. See [link to embodiment]. Figure 4 The device for determining the inductance of the outermost half-turn of the non-integer spiral inductor on the non-integer coil specifically includes the following components:
[0100] The self-inductance determination module 10 is used to determine half of the equivalently determined total self-inductance value of the entire closed metal loop as the self-inductance value of the outermost half-loop of the non-integer loop non-equal width spiral inductor on the chip.
[0101] The mutual inductance determination module 20 is used to determine half of the total mutual inductance value between the outermost full-circle closed metal and other inner full-circle closed metals as the mutual inductance value between the outermost half-circle metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0102] The outer half-turn inductance determination module 30 is used to determine the self-inductance value of the outermost half-turn metal of the non-equal width spiral inductor on the non-integer turn plate and the relationship between the outermost half-turn metal and the inner spiral metal.
[0103] The sum of the mutual inductance values of the metals determines the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil.
[0104] As can be seen from the above description, the device for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip provided in this application can determine the inductance of the outermost half-turn of a non-integer-turn, non-equal-width spiral inductor by setting half of the equivalently determined total self-inductance of the closed metal of the entire turn as the desired value.
[0105] The self-inductance value of the outermost half-turn metal of the non-equal width spiral inductor on the non-integer coil plate is determined; half of the total mutual inductance value between the equivalently determined outermost full-turn closed metal and the other internal full-turn closed metals is determined as the value of the non-integer coil plate.
[0106] The mutual inductance between the outermost half-turn metal and the inner spiral metal of the non-equal width spiral inductor; based on the self-inductance of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil and the sum of the mutual inductance between the outermost half-turn metal and the inner spiral metal of the non-integer spiral inductor on the non-integer coil, the non-equal width spiral inductor on the non-integer coil is determined.
[0107] The inductance value of the outermost half-circle of metal can be used to determine the inductance value of the outermost half-circle of metal on non-integer coils with non-equal width spirals.
[0108] In one embodiment of the device for determining the outermost half-turn inductance of a non-equal-width spiral inductor on a non-integer coil in this application, see [link to relevant documentation]. Figure 5 The self-sensing determination module 10 includes:
[0109] The total self-inductance determination unit 11 is used to determine the total self-inductance of the closed metal circle of the equivalent regular polygon determined by the closed metal center diameter, metal thickness, metal width, magnetic permeability constant of the insulating medium and the spiral correlation coefficient corresponding to different regular polygons.
[0110] The outer half-circle self-inductance determination unit 12 is used to determine half of the total self-inductance value of the equivalent determined regular polygonal full-circle closed metal as the self-inductance value of the outermost half-circle metal of the non-integer coil plate with non-equal width spiral inductor.
[0111] An embodiment of the device for determining the outermost half-turn inductance of a non-integer spiral inductor on a non-integer coil in this application.
[0112] See also Figure 6 The mutual inductance determination module 20 includes:
[0113] The total mutual inductance value determination unit 21 is used to determine the total mutual inductance value between the outermost closed metal circle and other closed metal circles based on the equivalently determined center diameter of each closed metal circle, the width of each closed metal circle, the center distance between each metal circle, the magnetic permeability constant of the insulating medium, and the spiral correlation coefficient corresponding to different regular polygons.
[0114] The outer half-circle mutual inductance determination unit 22 is used to determine half of the total mutual inductance value between the outermost full-circle closed metal and other inner full-circle closed metals as the mutual inductance value between the outermost half-circle metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0115] To further illustrate this solution, this application also provides a specific application example of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a non-integer-turn chip using the aforementioned device for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor. The specific application example includes the following:
[0116] See Figure 7 The example shown is a 3.5-turn hexagonal non-uniform width spiral inductor with the following layout parameters: number of sides N = 6, number of turns n = 3.5, metal thickness t, and inner diameter d. in The line widths w1, w2, w3, w4 from the inside out and the spacing s1, s2, s3.
[0117] A method for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor, which... Figure 7 The calculation of the inductance of the outermost half-turn of the 3.5-turn hexagonal non-uniform width spiral inductor shown is divided into the self-inductance of the outermost half-turn metal and its mutual inductance with the inner spiral metal: the outermost half-turn metal is arranged according to... Figure 8 The method shown is equivalent to a closed loop of regular hexagonal metal, whose self-inductance is determined to be half of the self-inductance of the closed loop of metal. The outermost half-loop of metal is then connected to the other metals inside the non-integer loop spiral inductor corresponding to the outermost half-loop. Figure 10 The method shown is equivalent to four turns of concentric closed metal in a regular hexagon. The mutual inductance is determined to be half of the total mutual inductance between the outermost closed metal and all the inner concentric closed metals, thus determining the outermost half-turn inductance of the non-equal-width spiral inductor on a non-integer-turn plate. This includes the following steps:
[0118] 1. Figure 7 The outermost half of the metal of the hexagonal non-uniform width spiral inductor shown as n=3.5 turns follows... Figure 8 The method shown in the embodiment is equivalent to a closed metal circle of a full circle. After the equivalent, the width of the closed metal is w4, the metal thickness t remains unchanged, and the center diameter is [missing value].
[0119]
[0120] Where w i s i (i = 1, 2, 3); w4 represents respectively Figure 7 The line width and spacing of the hexagonal non-uniform width spiral inductor shown are as follows, d in This indicates the inner diameter of a non-uniform width spiral inductor.
[0121] 2. Implementation example of self-inductance calculation for a closed loop of regular hexagonal metal. Figure 9 As shown:
[0122]
[0123] Where μ is the permeability constant of the insulating medium, b1 = 1.10, b2 = 0.490, b3 = 0.355, b4 = 0.50 are the correlation coefficients of the hexagonal spiral, w is the width of the closed metal, t is the metal thickness, and d is the center diameter of the closed metal.
[0124] 3. Substitute the closed metal parameters w4, t, and d4 obtained in step 1 into the self-inductance calculation formula for the full-circle closed metal of the regular hexagon obtained in step 2, and take half of the calculation result as the result. Figure 7 The self-inductance of the outermost half of the metal in the 3.5-turn hexagonal non-uniform width spiral inductor shown:
[0125]
[0126] 4. Figure 7 The outermost half-turn of the hexagonal non-uniform width spiral inductor shown (n=3.5 turns) is metald in accordance with the other metals inside the non-integer turn spiral inductor corresponding to the outermost half-turn. Figure 10 The method shown in the embodiment is equivalent to four concentric closed hexagonal metal rings. After the equivalence, the line width and spacing remain unchanged from the inside out, still w1, w2, w3, w4 and s1, s2, s3, with the center diameter of each closed metal ring being...
[0127] d1=d in +w1
[0128]
[0129] Where d1 represents the center diameter of the first closed metal ring, d j (j=2,3,4) represents the center diameter of the j-th closed metal ring.
[0130] 5. Example of calculating mutual inductance between any two closed hexagonal metal rings of non-equal width. Figure 11 As shown,
[0131]
[0132]
[0133]
[0134] Where d1 and d2 are the center diameters of the first and second closed metal rings, respectively, d 12 Let w1 be the average diameter between the first and second concentric closed metal rings that are not of equal width, and w2 be the widths of the first and second closed metal rings, respectively. ρ 12 pitch is an intermediate variable in the calculation process. 12 The center spacing is the distance between the non-equal-width concentric closed metals of the first and second rings, and all other known parameters or coefficients remain consistent with step 2.
[0135] 6. Figure 7 The mutual inductance between the outermost half-turn of the 3.5-turn hexagonal non-uniform width spiral inductor and the inner spiral metal is determined to be half of the total mutual inductance between the outermost full-turn closed metal and the other inner full-turn closed metal obtained in step 4. The calculation formula is as follows:
[0136]
[0137] Where M i，4 This represents the mutual inductance between the inner i-th (i = 1, 2, 3) closed metal ring and the outermost 4-th closed metal ring after the equivalent result. Its calculation parameters are obtained from step 4, and its calculation formula is obtained from step 5.
[0138] 7. Figure 7 The calculated inductance value of the outermost half-turn of the metal on the 3.5-turn hexagonal plate with non-uniform width spiral inductor shown is as follows:
[0139] L tot =L self +M tot
[0140] Where L self Calculate M according to the self-inductance calculation method for the outermost half-circle metal described in step 3. tot The total mutual inductance between the outermost half-circle metal and the inner spiral metal is calculated according to the method described in step 6.
[0141] It should be noted that, Figure 12 The 3.5-turn square non-uniform width spiral inductor shown is... Figure 13 The 3.5-turn octagonal non-uniform width spiral inductor shown, along with all other non-integer-turn polygonal spiral inductors not listed here, and even non-integer-turn polygonal non-uniform width spiral inductors where the metal width and spacing are reasonably varied (e.g., the width decreases from the inside out while the spacing increases), are all related to... Figure 7 The 3.5-turn hexagonal non-uniform width spiral inductor shown has a similar... Figure 8 The method shown is equivalent to a closed hexagonal metal circle, and... Figure 9 The method for calculating the self-inductance of a closed hexagonal metal circle shown; and Figure 10 The outermost half-turn of metal shown, along with the other spiral metals inside the non-integer-turn spiral inductor corresponding to the outermost half-turn, is equivalent to a 4-turn concentric closed hexagonal metal loop. Figure 11 The method for calculating mutual inductance between any two concentric closed hexagonal metal rings shown, and the method of halving the self-inductance and mutual inductance results from the equivalent calculation. Figure 7 The figure shows the inductance value of the outermost half-turn of metal in a 3.5-turn hexagonal non-uniform width spiral inductor. For different non-integer-turn polygonal non-uniform width spiral inductors, the calculation of the inductance value of the outermost half-turn of metal follows the same procedure as steps 1 to 7, except that different polygonal inductors have different correlation coefficients.
[0142] From a hardware perspective, in order to accurately determine the inductance value of the outermost half-turn of the metal in a non-integer-turn spiral inductor on a non-integer-turn sheet, this application provides an embodiment of an electronic device for implementing all or part of the method for determining the inductance of the outermost half-turn of a non-integer-turn spiral inductor on a non-integer-turn sheet. The electronic device specifically includes the following:
[0143] The system comprises a processor, memory, a communication interface, and a bus; wherein the processor, memory, and communication interface communicate with each other via the bus; the communication interface is used to realize information transmission between the device for determining the outermost half-turn inductance of a non-integer-circle, non-equal-width spiral inductor on a chip and core business systems, user terminals, and related databases and other related devices; the logic controller can be a desktop computer, tablet computer, or mobile terminal, etc., and this embodiment is not limited to these. In this embodiment, the logic controller can be implemented with reference to the embodiments of the method for determining the outermost half-turn inductance of a non-integer-circle, non-equal-width spiral inductor on a chip, and the embodiments of the device for determining the outermost half-turn inductance of a non-integer-circle, non-equal-width spiral inductor on a chip, the contents of which are incorporated herein, and repeated parts will not be described again.
[0144] It is understood that the user terminal may include smartphones, tablet computers, network set-top boxes, portable computers, desktop computers, personal digital assistants (PDAs), in-vehicle devices, smart wearable devices, etc. Among these, the smart wearable devices may include smart glasses, smartwatches, smart bracelets, etc.
[0145] In practical applications, part of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor can be executed on the electronic device side as described above, or all operations can be completed in the client device. The specific choice depends on the processing power of the client device and the limitations of the user's usage scenario. This application does not impose any limitations on this. If all operations are completed in the client device, the client device may further include a processor.
[0146] The aforementioned client device may have a communication module (i.e., a communication unit) that can communicate with a remote server to achieve data transmission. The server may include a server on the task scheduling center side; in other implementation scenarios, it may also include a server on an intermediate platform, such as a server on a third-party server platform that has a communication link with the task scheduling center server. The server may include a single computer device, a server cluster consisting of multiple servers, or a distributed server structure.
[0147] Figure 14This is a schematic block diagram illustrating the system configuration of the electronic device 9600 according to an embodiment of this application. Figure 14 As shown, the electronic device 9600 may include a central processing unit 9100 and a memory 9140; the memory 9140 is coupled to the central processing unit 9100. It is worth noting that... Figure 14 This is an example; other types of structures can also be used to supplement or replace this structure to achieve telecommunications functions or other functions.
[0148] In one embodiment, the function for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip can be integrated into a central processing unit 9100. The central processing unit 9100 can be configured to perform the following control:
[0149] Step S101: Determine half of the equivalent total self-inductance of the closed metal loop as the self-inductance of the outermost half of the non-equal width spiral inductor on the non-integer loop plate.
[0150] Step S102: Determine half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0151] Step S103: Determine the inductance value of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil based on the sum of the self-inductance value of the outermost half-turn metal and the inner spiral metal of the non-integer spiral inductor on the non-integer coil.
[0152] As can be seen from the above description, the electronic device provided in this application embodiment determines the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil piece by determining half of the equivalently determined total self-inductance value of the entire closed loop metal as the self-inductance value of the outermost half-turn of the non-integer coil piece and the other internal closed loop metals as the mutual inductance value between the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil piece and the internal spiral metals; and determines the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil piece based on the sum of the self-inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil piece and the mutual inductance value between the outermost half-turn of the non-integer coil piece and the internal spiral metals. This allows for a relatively accurate determination of the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil piece.
[0153] In another embodiment, the device for determining the outermost half-turn inductance of a non-integer spiral inductor with non-equal width on a non-integer coil can be configured separately from the central processing unit 9100. For example, the device for determining the outermost half-turn inductance of a non-integer spiral inductor with non-equal width on a non-integer coil can be configured as a chip connected to the central processing unit 9100, and the function of determining the outermost half-turn inductance of a non-integer spiral inductor with non-equal width on a non-integer coil can be realized through the control of the central processing unit.
[0154] like Figure 14 As shown, the electronic device 9600 may further include: a communication module 9110, an input unit 9120, an audio processor 9130, a display 9160, and a power supply 9170. It is worth noting that the electronic device 9600 does not necessarily need to include these components. Figure 14 All components shown; in addition, the electronic device 9600 may also include Figure 14 For components not shown, please refer to existing technologies.
[0155] like Figure 14 As shown, the central processing unit 9100, sometimes also referred to as a controller or operating control, may include a microprocessor or other processor device and / or logic device, which receives inputs and controls the operation of various components of the electronic device 9600.
[0156] The memory 9140 may be, for example, one or more of a cache, flash memory, hard drive, removable media, volatile memory, non-volatile memory, or other suitable devices. It may store the aforementioned failure-related information, and also store a program for executing that information. The central processing unit 9100 may execute the program stored in the memory 9140 to perform information storage or processing, etc.
[0157] Input unit 9120 provides input to central processing unit 9100. Input unit 9120 may be, for example, a keypad or touch input device. Power supply 9170 provides power to electronic device 9600. Display 9160 displays images and text. Display may be, for example, an LCD display, but is not limited thereto.
[0158] The memory 9140 can be a solid-state memory, such as a read-only memory (ROM), random access memory (RAM), a SIM card, etc. It can also be a memory that retains information even when power is off, can be selectively erased, and contains more data; examples of this type of memory are sometimes referred to as EPROMs. The memory 9140 can also be some other type of device. The memory 9140 includes a buffer memory 9141 (sometimes referred to as a buffer). The memory 9140 may include an application / function storage unit 9142 for storing application programs and function programs or processes for executing the operation of the electronic device 9600 via the central processing unit 9100.
[0159] The memory 9140 may also include a data storage unit 9143 for storing data, such as contacts, digital data, pictures, sounds, and / or any other data used by the electronic device. The driver storage unit 9144 of the memory 9140 may include various drivers for the electronic device's communication functions and / or for performing other functions of the electronic device (such as messaging applications, address book applications, etc.).
[0160] The communication module 9110 is a transmitter / receiver 9110 that transmits and receives signals via the antenna 9111. The communication module (transmitter / receiver) 9110 is coupled to the central processing unit 9100 to provide input signals and receive output signals, which can be the same as in a conventional mobile communication terminal.
[0161] Based on different communication technologies, multiple communication modules 9110 can be configured in the same electronic device, such as cellular network modules, Bluetooth modules, and / or wireless LAN modules. The communication module (transmitter / receiver) 9110 is also coupled to a speaker 9131 and a microphone 9132 via an audio processor 9130 to provide audio output via the speaker 9131 and receive audio input from the microphone 9132, thereby realizing typical telecommunications functions. The audio processor 9130 may include any suitable buffer, decoder, amplifier, etc. Additionally, the audio processor 9130 is coupled to a central processing unit 9100, enabling on-device recording via the microphone 9132 and on-device playback of stored sound via the speaker 9131.
[0162] Embodiments of this application also provide a computer-readable storage medium capable of implementing all steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip, where the execution subject is a server or client, as described in the above embodiments. The computer-readable storage medium stores a computer program that, when executed by a processor, implements all steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip, where the execution subject is a server or client, as described in the above embodiments. For example, when the processor executes the computer program, it implements the following steps:
[0163] Step S101: Determine half of the equivalent total self-inductance of the closed metal loop as the self-inductance of the outermost half of the non-equal width spiral inductor on the non-integer loop plate.
[0164] Step S102: Determine half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0165] Step S103: Determine the inductance value of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil based on the sum of the self-inductance value of the outermost half-turn metal and the inner spiral metal of the non-integer spiral inductor on the non-integer coil.
[0166] As can be seen from the above description, the computer-readable storage medium provided in this application embodiment determines the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil sheet by determining half of the equivalently determined total self-inductance value of the entire closed loop metal as the self-inductance value of the outermost half-turn of the non-integer coil sheet and the inner spiral metal as half of the equivalently determined total mutual inductance value between the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil sheet and the inner spiral metal; and determines the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil sheet based on the sum of the self-inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil sheet and the mutual inductance value between the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil sheet and the inner spiral metal. This allows for a relatively accurate determination of the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil sheet.
[0167] Embodiments of this application also provide a computer program product capable of implementing all steps in the method for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor, where the execution subject is a server or client, as described in the above embodiments. When executed by a processor, this computer program / instruction implements the steps of the method for determining the outermost half-turn inductance of a non-integer-turn on-chip non-equal-width spiral inductor. For example, the computer program / instruction implements the following steps:
[0168] Step S101: Determine half of the equivalent total self-inductance of the closed metal loop as the self-inductance of the outermost half of the non-equal width spiral inductor on the non-integer loop plate.
[0169] Step S102: Determine half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop piece.
[0170] Step S103: Determine the inductance value of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil based on the sum of the self-inductance value of the outermost half-turn metal and the inner spiral metal of the non-integer spiral inductor on the non-integer coil.
[0171] As can be seen from the above description, the computer program product provided in this application determines the inductance value of the outermost half-turn of the non-equal-width spiral inductor on the non-integer coil piece by determining half of the equivalently determined total self-inductance value of the entire closed loop metal as the self-inductance value of the outermost half-turn of the non-integer coil piece and the inner spiral metal as half of the equivalently determined total mutual inductance value between the outermost half-turn of the non-integer coil piece and the other internal closed loop metals; and determines the inductance value of the outermost half-turn of the non-integer coil piece based on the sum of the self-inductance value of the outermost half-turn of the non-integer coil piece and the mutual inductance value between the outermost half-turn of the non-integer coil piece and the inner spiral metal. This allows for a relatively accurate determination of the inductance value of the outermost half-turn of the non-integer coil piece.
[0172] Those skilled in the art will understand that embodiments of the present invention can be provided as methods, apparatus, or computer program products. Therefore, the present invention can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention can take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.
[0173] This invention is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (devices), and computer program products according to embodiments of the invention. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.
[0174] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.
[0175] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.
[0176] Specific embodiments have been used to illustrate the principles and implementation methods of this invention. The descriptions of the embodiments above are only for the purpose of helping to understand the method and core ideas of this invention. At the same time, for those skilled in the art, there will be changes in the specific implementation methods and application scope based on the ideas of this invention. Therefore, the content of this specification should not be construed as a limitation of this invention.
Claims
1. A method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip, characterized in that, The number of turns n of the non-integer spiral inductor with non-uniform width on the non-integer coil is a decimal in the form of x.5, and the non-integer spiral inductor with non-uniform width on the non-integer coil is a regular polygonal non-uniform width spiral inductor. The method includes: Half of the equivalent total self-inductance of the closed metal loop is determined as the self-inductance of the outermost half of the metal loop of the non-equal width spiral inductor on the non-integer loop plate. Half of the total mutual inductance between the outermost closed loop metal and the other closed loop metals inside is determined as the mutual inductance between the outermost half loop metal and the inner spiral metal of the non-equal width spiral inductor on the non-integer loop piece. The inductance value of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil is determined based on the sum of the self-inductance value of the outermost half-turn metal of the non-integer spiral inductor on the non-integer coil and the mutual inductance value between the outermost half-turn metal and the inner spiral metal. The step of determining half of the equivalent total self-inductance of the closed-loop metal as the self-inductance of the outermost half-loop metal of the non-integer-loop non-equal-width spiral inductor on the non-integer-loop plate includes: Based on the equivalently determined closed metal center diameter, metal thickness, metal width, insulating medium permeability constant, and helical correlation coefficients corresponding to different regular polygons, the total self-inductance of the equivalently determined regular polygon closed metal is determined. Half of the total self-inductance of the equivalently determined regular polygonal closed metal loop is determined as the self-inductance of the outermost half of the metal loop of the non-equal width spiral inductor on the non-integer loop plate. The step of determining half of the total mutual inductance between the outermost closed loop of metal and other closed loops of metal within the equivalent circuit as the mutual inductance between the outermost half-loop of metal and the inner spiral metal of the non-integer loop non-equal width spiral inductor on the non-integer loop sheet includes: Based on the equivalently determined center diameter of each closed metal ring, the width of each closed metal ring, the center spacing between each metal ring, the magnetic permeability constant of the insulating medium, and the helical correlation coefficient corresponding to different regular polygons, the total mutual inductance between the equivalently determined outermost closed metal ring and other internal closed metal rings is determined. Half of the total mutual inductance between the outermost closed loop of metal and the other closed loops of metal inside is determined as the mutual inductance between the outermost half loop of metal and the inner spiral metal of the non-equal width spiral inductor on the non-integer loop plate.
2. The method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a non-integer-turn sheet according to claim 1, characterized in that, Before determining the total self-inductance of the equivalently determined regular polygonal closed metal based on the equivalently determined closed metal center diameter, metal thickness, metal width, insulating medium permeability constant, and helical correlation coefficients corresponding to different regular polygons, the process includes: Based on the inner diameter of the non-uniform width spiral inductor on the non-integer coil and the line width and spacing from the inside to the outside, determine the equivalent closed metal center diameter, metal width, and metal thickness.
3. The method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a non-integer-turn sheet according to claim 1, characterized in that, Before determining the total mutual inductance between the outermost closed metal ring and other inner closed metal rings based on the equivalently determined center diameter of each closed metal ring, the width of each closed metal ring, the center spacing between each metal ring, the magnetic permeability constant of the insulating medium, and the helical correlation coefficient corresponding to different regular polygons, the following steps are included: Based on the inner diameter of the non-equal width spiral inductor on the non-integer coil and the line width and spacing from the inside to the outside, determine the equivalent center diameter of each closed metal coil, the width of each closed metal coil, and the center spacing between each metal coil.
4. A device for determining the inductance of the outermost half-turn of a non-integer-turn, non-equal-width spiral inductor on a wafer, characterized in that, The number of turns n of the non-integer spiral inductor with non-uniform width on the non-integer coil is a decimal in the form of x.5, and the non-integer spiral inductor with non-uniform width on the non-integer coil is a regular polygonal non-uniform width spiral inductor. The device includes: The self-inductance determination module is used to determine half of the equivalently determined total self-inductance value of the entire closed metal loop as the self-inductance value of the outermost half-loop of the non-integer loop spiral inductor on the non-integer loop sheet. The mutual inductance determination module is used to determine half of the total mutual inductance value between the outermost full-turn closed metal and other internal full-turn closed metals as the mutual inductance value between the outermost half-turn metal and the inner spiral metal of the non-integer turn non-equal width spiral inductor on the non-integer turn piece. The outer half-turn inductance determination module is used to determine the inductance value of the outer half-turn metal of the non-integer coil piece based on the self-inductance value of the outermost half-turn metal of the non-equal width spiral inductor on the non-integer coil piece and the sum of the mutual inductance values of the outermost half-turn metal of the non-equal width spiral inductor on the non-integer coil piece and the inner spiral metal. The self-induction determination module includes: The total self-inductance value determination unit is used to determine the total self-inductance value of the equivalently determined closed metal circle based on the equivalently determined closed metal center diameter, metal thickness, metal width, insulating medium permeability constant, and helical correlation coefficients corresponding to different regular polygons. The outer half-circle self-inductance determination unit is used to determine half of the total self-inductance value of the equivalent determined regular polygonal full-circle closed metal as the self-inductance value of the outermost half-circle metal of the non-integer coil plate with non-equal width spiral inductance. The mutual inductance determination module includes: The total mutual inductance value determination unit is used to determine the total mutual inductance value between the outermost closed metal circle and other closed metal circles based on the equivalently determined center diameter of each closed metal circle, the width of each closed metal circle, the center distance between each metal circle, the magnetic permeability constant of the insulating medium, and the spiral correlation coefficient corresponding to different regular polygons. The outer half-turn mutual inductance determination unit is used to determine half of the total mutual inductance value between the outermost full-turn closed metal and other inner full-turn closed metals as the mutual inductance value between the outermost half-turn metal and the inner spiral metal of the non-integer turn non-equal width spiral inductor on the non-integer turn piece.
5. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the program, it implements the steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip as described in any one of claims 1 to 3.
6. A computer-readable storage medium having a computer program stored thereon, characterized in that, When executed by a processor, the computer program implements the steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip as described in any one of claims 1 to 3.
7. A computer program product comprising a computer program / instructions, characterized in that, When the computer program / instruction is executed by the processor, it implements the steps of the method for determining the outermost half-turn inductance of a non-integer-turn, non-equal-width spiral inductor on a chip as described in any one of claims 1 to 3.