JP2007293725A - Resonance frequency calculation device and resonance frequency calculation method - Google Patents

Abstract

<P>PROBLEM TO BE SOLVED: To provide technology for accurately and rapidly finding, for each wiring pattern, electric resonance frequencies of all the wiring patterns present on a circuit board, which is a printed circuit board mounted with a component. <P>SOLUTION: This resonance frequency calculation device finding the electronic resonance frequency of the wiring pattern in the printed circuit board mounted with the component has: a model generation means 13 creating a simplified circuit model by use of material information of each part and a cross-sectional structure of the wiring pattern, full length information of wiring, and central-constant parameter of the component; an arithmetic means 14 finding an electronic characteristic in the wiring pattern by use of the simplified circuit model created by the model generation means; and a resonance frequency calculation means 15 calculating the resonance frequency from information of the electric characteristic fond by the arithmetic mans. <P>COPYRIGHT: (C)2008,JPO&INPIT

Description

  The present invention particularly relates to a technique capable of obtaining an electrical resonance frequency in a printed wiring board on which components are mounted with high speed and high accuracy.

A technique for calculating the electrical length that generates electrical resonance from the physical length of the printed wiring board (pattern wiring length) has been proposed (Japanese Patent Laid-Open No. 10-293781). That is, Japanese Patent Laid-Open No. 10-293781 introduces a method for obtaining an electrical resonance frequency in consideration of wavelength shortening due to a relative dielectric constant of an insulating layer of a printed wiring board in a physical pattern wiring length. In addition, it has been pointed out that electromagnetic noise is efficiently emitted at the frequency calculated here. As a method for suppressing this radiation, the frequency used inside the device and the calculated electrical frequency are used. Systems that do not match the resonant frequency are also mentioned. For example, a printed circuit board design system is disclosed that includes means for checking so that the wiring length of a wiring pattern does not coincide with the operating signal frequency of the apparatus and a half wavelength length of its harmonic frequency.
Japanese Patent Laid-Open No. 10-293781

  By the way, the technique of the said patent document 1 is calculating only with a wiring pattern, and does not consider the influence of components. For this reason, when a component such as an LSI is mounted on a printed wiring board, the resonance frequency is not accurately obtained.

  As a method for obtaining an accurate resonance frequency, there is a method using an electromagnetic field simulator. However, with this method using an electromagnetic field simulator, in order to obtain accurate results, the structure and configuration of the printed wiring board and the mounted components such as the mounted LSI are modeled and calculated. There is a need. Now, while the thickness of the printed wiring board is several tens to several hundreds of micrometers, the size of the printed wiring board is several centimeters to several tens of centimeters. And in order to raise accuracy, it is necessary to give an analysis mesh on the basis of the former dimension. However, since the aspect ratio is too large, an enormous number of meshes is required to analyze the entire printed wiring board. Therefore, the analysis (calculation) requires not only a large storage capacity and CPU occupation time, but also a large analysis time. Therefore, by using this method, it is impossible to calculate a large number of wiring patterns and mounting component arrangement patterns in a short time at the design stage.

  As another technique for obtaining a precise resonance frequency, there is a technique of using a circuit simulator to express all the changes up to the change of the wiring shape as a circuit model and to perform analysis.

  However, in this case, as in the case of using the electromagnetic field simulator described above, the circuit simulator model should realize all the detailed conditions such as the component mounting pads and the influence between the wiring when the wiring is bent. Then, the model creation is not easy. Also, since there is no uniform expression method, the model creation cannot be automated, and each time it must be done manually, and again it cannot be calculated in a short time.

  Therefore, the problem to be solved by the present invention is that, in a printed wiring board on which components are mounted, the electrical resonance frequencies of all wiring patterns on the wiring board are accurately determined for each wiring pattern, and It is to provide technology that can be obtained at high speed.

  Generally, in a wiring pattern on a printed wiring board on which no component is mounted, the resonance frequency takes a relatively high value. Since this value is greatly affected by the shape of the wiring pattern, it is necessary to model the wiring shape and the structure of the pads on which the components are mounted in detail.

  On the other hand, in the wiring pattern on the printed wiring board on which the component is mounted, the resonance frequency is lower than in the case where the component is not mounted. It has been clarified from experimental data that the parameter represented by the lumped constant inside the component is dominant in determining the resonance frequency, and that the influence of the wiring shape and the pad on which the component is mounted is small.

  In other words, since the influence of the wiring shape on the resonance frequency is small, it can be considered that there is not much difference in the result even if a simple method of creating the wiring pattern model from the outline information of the wiring is used. . Therefore, the analysis model itself can be greatly simplified.

  For this reason, the method of using a circuit simulator as a calculation system is very effective in calculating the resonance frequency of a printed circuit board on which components are mounted. It is possible to analyze well. And since it becomes unnecessary to use the detailed analysis method by an electromagnetic field simulator, an analysis resource becomes small and the resonant frequency can be calculated at high speed.

The present invention has been made based on the above findings.
In other words, the above problem is that when the resonance frequency of a wiring with a component connection is obtained, the characteristic of the component becomes dominant. Therefore, a circuit simulator represented by SPICE is used as a calculation system for analysis. The model is created from the rough information that determines the lumped parameters such as the capacitance values of the connected parts, and the lumped parameters of the wiring length component and cross-sectional structure and its components. This is solved by using a simplified circuit model.

In particular, the above-mentioned problem is a resonance frequency calculation device for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which components are mounted,
Model generation means for creating a simplified circuit model using wiring parameters and lumped constant parameters of parts;
Calculation means for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created by the model generation means;
This is solved by a resonance frequency calculation device comprising resonance frequency calculation means for calculating a resonance frequency from information on electrical characteristics obtained by the calculation means.
Among them, a resonance frequency calculation device for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which components are mounted,
Model generation means for creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped parameter of the component,
Calculation means for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created by the model generation means;
This is solved by a resonance frequency calculation device comprising resonance frequency calculation means for calculating a resonance frequency from information on electrical characteristics obtained by the calculation means.

Furthermore, the above-mentioned problem is a resonance frequency calculation device for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which components are mounted,
Model generation means for creating a simplified circuit model using wiring parameters and lumped constant parameters of parts;
A circuit simulator for obtaining electrical characteristics in a wiring pattern using the simplified circuit model created by the model generating means;
This is solved by a resonance frequency calculation device comprising resonance frequency calculation means for calculating a resonance frequency from information on electrical characteristics obtained by the circuit simulator.
Among them, a resonance frequency calculation device for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which components are mounted,
Model generation means for creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped parameter of the component,
A circuit simulator for obtaining electrical characteristics in a wiring pattern using the simplified circuit model created by the model generating means;
This is solved by a resonance frequency calculation device comprising resonance frequency calculation means for calculating a resonance frequency from information on electrical characteristics obtained by the circuit simulator.

Also, the above resonance frequency calculation device,
The resonance frequency calculating means is a means for calculating the resonance frequency of the wiring pattern by selecting one of the voltage characteristic, the current characteristic, and the impedance characteristic among the electric characteristics obtained by the calculating means. It is solved by the calculation device.

Also, the above resonance frequency calculation device,
CAD is connected,
This is solved by a resonance frequency calculating apparatus characterized in that data of a printed wiring board possessed by the CAD is used by a model creating means.

The above-mentioned problem is a method for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which a component is mounted,
A model generation step of creating a simplified circuit model using the wiring parameters and the lumped parameter of the component;
An operation step for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created in the model generation step;
This is solved by a resonance frequency calculation method comprising a resonance frequency calculation step of calculating a resonance frequency from information on electrical characteristics obtained in the calculation step.

In particular, a method for obtaining an electrical resonance frequency of a wiring pattern on a printed wiring board on which components are mounted,
A model generation step for creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped parameter of the component,
An operation step for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created in the model generation step;
This is solved by a resonance frequency calculation method comprising a resonance frequency calculation step of calculating a resonance frequency from information on electrical characteristics obtained in the calculation step.

According to the present invention, the resonance frequency can be obtained quickly and accurately.
The reason is that the major factor that determines the resonance frequency of the wiring pattern on which the component is mounted is the parameter expressed by the lumped constant inside the mounted component, and it can be calculated quickly with high accuracy by using a circuit simulator. It is.

  Then, the present invention can be applied to a design system that examines improvement of interference with other electronic / electrical devices and communication devices that become sensitive near the resonance frequency due to the resonance frequency, or interference generated inside the device.

  The resonance frequency calculation apparatus according to the present invention is a resonance frequency calculation apparatus that obtains an electrical resonance frequency of a wiring pattern in a printed wiring board on which components are mounted. And it has the model production | generation means which produces a simplified circuit model using the wiring parameter and the lumped constant parameter of components. In particular, it has model generation means for creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped constant parameters of the parts. In addition, a calculation unit (for example, a circuit simulator) for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created by the model generation unit is provided. In addition, there is a resonance frequency calculation means for calculating the resonance frequency from information on the electrical characteristics obtained by the calculation means. The resonance frequency calculation means is means for calculating the resonance frequency of the wiring pattern by selecting any one of the voltage characteristic, current characteristic, and impedance characteristic among the electric characteristics obtained by the calculation means, for example. A CAD can be connected to the apparatus, and the printed circuit board data of the CAD is also used by the model creating means.

  The resonance frequency calculation method according to the present invention is a method for obtaining an electrical resonance frequency of a wiring pattern on a printed wiring board on which components are mounted. And it has a model generation step which creates a simplified circuit model using the wiring parameters and the lumped constant parameters of the parts. In particular, the method includes a model generation step of creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped parameter of the component. In addition, there is a calculation step for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created in the model generation step. In addition, there is a resonance frequency calculation step for calculating the resonance frequency from information on the electrical characteristics obtained in the calculation step.

This will be described in more detail below.
FIG. 1 is a schematic diagram of an apparatus according to the present invention, and FIG. 2 is a flow diagram of a method according to the present invention.

  The apparatus of the present invention generally includes an input device 10, an output device 16, a storage device 18, and a control device (data processing device: CPU) 11.

  The data processing device 11 which is the main part of the present invention creates a simplified circuit model based on information input from the input device 10 or information (CAD data 17) read from the storage device 18. Model generating means 13 for performing In addition, it also has arithmetic means (circuit simulator such as SPICE) 14 for calculating electrical characteristics (for example, the relationship between frequency and output voltage) based on the information obtained by the model generating means 13. Furthermore, a resonance frequency calculating means 15 for calculating a resonance frequency, which is a frequency at which the peak value of the waveform is obtained from the electrical characteristics obtained by the calculating means 14, is also provided. In the present specification, means having the model generation means 13 and the calculation means 14 may be referred to as an analysis engine 12.

  That is, in the resonance frequency calculation device of the present invention, when parameter information necessary for analysis is input from the input device 10 or the storage device 18 to the data processing device 11, the data processing device 11 is a model constituting the analysis engine 12. The generating means 13 is operated, a simplified circuit model is created, then the arithmetic means (circuit simulator) 14 is operated to analyze the electrical characteristics, and the resonance frequency calculating means is based on the obtained electrical characteristics information. 15 is configured to calculate the resonance frequency. Then, the calculated resonance frequency value is output from the output device 16.

A more detailed operation will be described as follows.
First, as shown in FIG. 2, the wiring parameters and the component parameters of the printed wiring board on which the components are mounted are input (step 101). This input is input from the input device 10. Alternatively, when this apparatus is connected to a CAD for which a printed wiring board has been designed, information from the CAD may be received and read out from the storage device 18 and input. . The wiring parameters input here are the wiring lengths of the respective parts illustrated in FIG. 9 (excluding detailed wiring structure information such as bending and the shape of pads for mounting components) and illustrated in FIG. A wiring width 55, a wiring conductivity 53, a dimension 56 of each part represented by a layer configuration, a ground conductivity 54, a value 51 relating to a structure and material characteristics such as a relative permittivity (εr) of a resist or an insulating layer, 52 is a parameter necessary for expressing the lumped constant information of the wiring, such as 52. The component parameter is a lumped parameter of a component connected to the wiring 405 represented as the load 404 in FIG. FIG. 3 illustrates a substrate configuration (cross-sectional view) of a wiring pattern having a microstrip line structure. Here, when a material name such as copper is input instead of the conductivity, processing such as replacement with conductivity from an internal database may be performed. Thus, parameters for each wiring of each part necessary for calculating the resonance frequency are input.

  After step 101, the data processing apparatus 11 operates the model generation unit 13 to create a simplified circuit model (step 102). The processing performed here is expressed as a lumped constant for use in the arithmetic means (circuit simulator, for example, SPICE) 14 based on the physical dimensions and characteristics of the wiring pattern on the printed wiring board represented by the microstrip line. This is a process for creating a circuit model. As shown in FIG. 3, the physical dimensions and characteristics of the wiring pattern referred to here include the electrical constant of the resist 51, the electrical constant of the insulating layer 52, the line width 55 of the metal wiring 53, the ground 54 and the metal wiring 53. And the like. These parameters are information already input in step 101.

  Details of step 102 are shown in FIG. That is, when the information (parameters) of the printed wiring board as described above is input (step 1021), the model generation means 13 first performs solver processing using means having a name such as a field solver (step 1022). ). In this case, the solver processing specifically refers to resistance, inductance, and capacitance (in some cases, including conductance in addition to the above three types) by giving an ideal shape of a wiring pattern such as a microstrip line. The conversion to a lumped constant circuit per unit length expressed as follows. An example of an image of the lumped constant circuit obtained by the solver process is shown in FIG. Next, an analysis model in which components are connected to such wiring is created (step 1023). An example of a simplified circuit model that is an analysis model created here is shown in FIG. 6 (U is a circuit image, and V is a SPICE model image). A wiring pattern 402 in FIG. 6 is represented as a microstrip line circuit model 405 by connecting the circuits per unit length in FIG. 5 by the line length of the wiring input in step 101, and similarly input in step 101. A load 404 of components expressed in a lumped constant is connected, and a noise source 401 is placed. The line length of the wiring pattern 402 used here has a characteristic, and is the total length of the wiring ignoring the bending of the wiring pattern and the component mounting pad. The total length can be easily extracted from the wiring information of the printed wiring board design system CAD. The component load 404 is an electrical constant at the input portion of the LSI to be connected, and is usually expressed by capacitive reactance. This capacitance value is normally on the order of several tens of pF due to the structure of the current LSI, but when using an LSI with a different process, it may take a value of a different order such as several pF. The noise source 401 is a wave source having a wide frequency range including a resonance frequency that is an unknown value. In this case, the noise source 401 is a voltage source having a constant output at a plurality of step frequencies. By performing the processing 102 in this way, a simplified circuit model can be obtained.

  In FIG. 6, the microstrip line circuit model 405 is described as a lumped constant circuit in the notation, but in an actual model, a multi-stage circuit in which the lumped constant circuit per unit length is connected by the total length of the line. It has become. However, an equivalent distributed constant model may be used instead of the multistage lumped constant circuit model.

  Next, processing by the circuit simulator 14 (step 103) is performed using the model obtained as described above. The object to be analyzed here includes the characteristics of the output voltage 406 using the frequency as a variable. The analysis result is shown in FIG.

  Next, resonance frequency calculation processing is performed from the analysis result as shown in FIG. 8 (step 104). The resonance frequency calculation process is performed by the resonance frequency calculation means 15. In this example, the resonance frequency calculation means 15 operates so that the frequency at which the output voltage value reaches a peak is determined as the resonance frequency. In the example of FIG. 8, it is calculated | required that about 400 MHz is a resonant frequency.

  When the resonance frequency is calculated by the resonance frequency calculation means 15 (step 104), the data processing device 11 causes the output device 16 to output / display the calculation result of the resonance frequency (step 105). Note that a simplified circuit model input to the circuit simulator as shown in FIG. 6 and an analysis result by the circuit simulator as shown in FIG. 8 may be output. Then, a series of processing ends.

  The above-described series of processing is performed based on the physical dimensions and constants of the microstrip line used in the field solver, and a wiring model obtained by combining the result and the wiring length extracted from the input value, and the present invention The model for analysis is created by combining the noise source in the system and the model of the electrical constant representing the load of the part given as a fixed value. Automation is possible. The solver and circuit simulator used here are commercially available, and can be completed by combining the input screen with the system of the present invention.

  In this way, the resonance frequency unique to the wiring can be obtained in one wiring, and by repeating the same process for other wirings in sequence, the wiring specific to all wiring on the printed wiring board can be obtained. The resonance frequency can be obtained.

  Furthermore, it has been explained that when determining the resonance frequency of a wiring pattern on which a component is mounted, a large factor for determining the resonance frequency is a parameter expressed by a lumped constant inside the component. Using this, that is, eliminating elements that have only a slight effect on the electrical constants of wiring, such as bending of wiring patterns and the presence of pads for mounting components, creates a lumped constant model of wiring. By applying a simplified model that handles only the cross-sectional structure, material constants of each component, and information on the total length of the wiring, it is possible to further increase the speed.

  It has already been described that information from CAD may be used instead of inputting parameters necessary for calculating the resonance frequency with the input device 10. It is practical to use CAD data. This process is the process in FIG. 2 (step 301) and the process in FIG. 4 (step 1024). Note that the wiring information in the CAD data generally includes information such as the wiring width, the route designation in the XY coordinates of the wiring route, and the total wiring length to be calculated from now on. Furthermore, information such as the part name and model number of the connection destination is also included.

  Further, the result obtained by the resonance frequency calculating means 15 may be discharged to the CAD data 17 in the storage device 18 (step 302).

  In addition to the method of calculating the output voltage 406 of FIG. 6 in the resonance frequency calculation means 15, a method of determining from the maximum value of the circuit current of the microstrip line circuit model 405 is also possible. Similarly, a method of obtaining the minimum value as the corresponding frequency from the impedances at both ends of the load 404 may be applied. In this case, this technique is realized by replacing the calculation process (step 103) in the circuit simulator of FIG. That is, the means for calculating the resonance frequency may obtain the resonance frequency from the current-frequency characteristic or the impedance-frequency characteristic, instead of obtaining the resonance frequency from the voltage-frequency characteristic.

Next, the present invention will be described using specific examples.
FIG. 9 is an example of a specific printed wiring board. Two wiring patterns (wiring 1 connected to point a → point b, wiring 2 connected to point c → point d) are drawn, and each has an electric resonance frequency according to the wiring length. is doing. First, a specific method for calculating the resonance frequency of the upper wiring 1 will be described.

  In FIG. 9, LSIs 1 and 2 are respectively connected to the ends (point a and point b) of the wiring 1, the point a is connected to the LSI 1 which is a noise source (FIG. 6, 401), and the point b is a load (see FIG. 9). 6, 404) is connected to the LSI 2. At this time, the capacitance value of the load 404 that is the input capacitance of the LSI 2 is set to 10 pF. In this case, the circuit constants of the components are dominant, and the influence of the wiring shape is small. Therefore, the detailed layout of the wiring shown in FIG. 9 is not taken into consideration, and only the length of the wiring (total length: 64 mm) is taken into consideration, together with the structure diagram of FIG. Simple circuit models such as those described above can be created and analyzed. From the analysis result, a graph of the frequency characteristic of the output voltage 406 shown in FIG. 8 is created, and the resonance frequency calculation means that the frequency at which the value of the output voltage 406 reaches a peak is defined as the resonance frequency. Is obtained. On the other hand, FIG. 7 shows a result obtained by actually mounting components on the printed wiring board. Since this graph is an actual measurement result, there are multiple frequencies that show a peak in voltage value, but the part surrounded by the wavy line is due to the resonance frequency characteristics of the wiring, and the other peaks are due to other factors It has been confirmed that. Therefore, the actual measurement result indicating the resonance frequency characteristic of the wiring in the upper part of FIG. 7 shows about 400 MHz, and the validity of the analysis result can be confirmed.

  Then, by performing the same method, the resonance frequency for the lower wiring 2 can be obtained.

  In general, there are many other wirings on the printed wiring board, but such calculation may be repeated for each wiring, and the electrical resonance frequency of each wiring may be obtained sequentially.

  Now, when using a circuit simulator, the time required to obtain the resonance frequency of one wiring is less than a few seconds, and it is possible to cope with repeated calculations of the number of wirings exceeding the hundreds of the entire printed wiring board at high speed. Therefore, this method is applied to a printed wiring board on which components are mounted, and the resonance frequency of each wiring can be accurately obtained in a short time.

  Then, from the resonance frequency of the wiring on the printed wiring board thus obtained, it is possible to determine the wiring that causes efficient radiation to the outside together with the frequency, for example, avoiding tuning to the frequency used for wireless communication. It can be used as a tool that suggests a change in the wiring length. On the contrary, it can be used to extract a wiring that is tuned to a specific frequency with respect to an external electromagnetic field and that is highly likely to be drawn into the internal circuit as external noise.

Block diagram of the present invention Flow chart of the present invention Cross-sectional view of the substrate structure, which is the information necessary to create an analysis model Flow chart in circuit simulator Example of lumped constant circuit obtained by solver processing SPICE model image corresponding to the circuit image Example of measurement of resonance frequency of wiring pattern when components are mounted Resonance frequency calculation results using a circuit simulator Wiring layout of printed circuit board with components

Explanation of symbols

11 Control device (data processing device: CPU)
12 Analysis engine 13 Simplified circuit model creation means 14 Calculation means (circuit simulator: SPICE, for example)
15 Resonance frequency calculation means

Patent Applicant NEC Corporation
Representative Katsumi Udaka

Claims (7)

A resonance frequency calculation device for obtaining an electrical resonance frequency of a wiring pattern on a printed wiring board on which components are mounted,
Model generation means for creating a simplified circuit model using wiring parameters and lumped constant parameters of parts;
Calculation means for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created by the model generation means;
A resonance frequency calculation device comprising resonance frequency calculation means for calculating a resonance frequency from information on electrical characteristics obtained by the calculation means. A resonance frequency calculation device for obtaining an electrical resonance frequency of a wiring pattern on a printed wiring board on which components are mounted,
Model generation means for creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped parameter of the component,
Calculation means for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created by the model generation means;
A resonance frequency calculation device comprising resonance frequency calculation means for calculating a resonance frequency from information on electrical characteristics obtained by the calculation means.   3. The resonance frequency calculation apparatus according to claim 1, wherein the calculation means is a circuit simulator.   The resonance frequency calculation means is a means for calculating a resonance frequency of a wiring pattern by selecting any one of a voltage characteristic, a current characteristic, and an impedance characteristic among the electric characteristics obtained by the calculation means. The resonance frequency calculation apparatus according to any one of claims 1 to 3. CAD is connected,
The resonance frequency calculation apparatus according to claim 1, wherein data of a printed wiring board included in the CAD is configured to be used by a model creating unit. A method for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which a component is mounted,
A model generation step of creating a simplified circuit model using the wiring parameters and the lumped parameter of the component;
An operation step for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created in the model generation step;
A resonance frequency calculation method comprising: a resonance frequency calculation step for calculating a resonance frequency from information on the electrical characteristics obtained in the calculation step. A method for obtaining an electrical resonance frequency of a wiring pattern in a printed wiring board on which a component is mounted,
A model generation step for creating a simplified circuit model using the cross-sectional structure of the wiring pattern and the material information of each part, the total length information of the wiring, and the lumped parameter of the component,
An operation step for obtaining electrical characteristics in the wiring pattern using the simplified circuit model created in the model generation step;
A resonance frequency calculation method comprising: a resonance frequency calculation step for calculating a resonance frequency from information on the electrical characteristics obtained in the calculation step.

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