JP4511272B2 - RECORDING MEDIUM RECORDING EQUIVALENT CIRCUIT MODEL FOR STORAGE ELEMENT, RECORDING PROGRAM, RECORDING MEDIUM, derivation device, SIMULATION PROGRAM, RECORDING MEDIUM, SIMULATION DEVICE, DESIGN METHOD, GOOD / FAILURE JUDGING METHOD, AND GOOD / FAILURE JUDGING DEVICE - Google Patents

Description

  The present invention relates to an electric circuit simulation technique, and more particularly to an equivalent circuit model of a storage element.

  The electrical characteristics of the electric circuit in the electronic device are very important because they determine the operation of the electronic device.

  In designing an electric circuit, it is difficult to predict the electric characteristics at the stage of the circuit diagram. Conventionally, trial and error has been performed in which a circuit is actually manufactured and its electrical characteristics are measured, and if desired electrical characteristics are not obtained, the design is restarted.

  However, since such a design method is inefficient, in recent years, it has become common to predict electrical characteristics using a computer and software simulation device.

  In such simulation, it is necessary to construct a circuit model of an electric circuit using an equivalent circuit model for each circuit element constituting the electric circuit.

  Therefore, a highly accurate equivalent circuit model is required for efficient circuit design. Patent Document 1 discloses a method of deriving an equivalent circuit model using a multistage LCR circuit after measuring the real part and the imaginary part of impedance for a large number of sampling frequencies.

  Incidentally, a capacitor used in a power supply circuit or the like has an important characteristic of a real part of impedance, that is, so-called ESR (Equivalent Series Resistance).

  That is, the smaller the ESR, the smaller the power supply capacity and the lower the power supply ripple.

Therefore, Patent Document 2 discloses a method for separately measuring ESR and evaluating a capacitor.
JP 2002-259482 A JP 2003-329715 A

  As electronic devices have been digitized at a high speed and with a high frequency in recent years, simulations in a high frequency region have become necessary.

  On the other hand, it has been found that the ESR of a capacitor increases in a high frequency region, and the characteristics as a capacitor deteriorate.

  Therefore, in order to perform a simulation in a high frequency region, a highly accurate equivalent circuit model in consideration of the characteristics of ESR is necessary.

  FIG. 10 shows a conventional three-element equivalent circuit model.

  However, the conventional three-element equivalent circuit model shown in FIG. 10 has a problem that the ESR becomes a constant value regardless of the frequency because the resistor R10 is merely connected in series with the inductance L10 and the capacitance C10. It was.

  FIG. 11 is a diagram comparing frequency characteristics with measured values when a conventional three-element equivalent circuit model is applied to a polymer organic semiconductor solid electrolytic capacitor.

  FIG. 11A is a diagram comparing the frequency characteristics of ESR.

  FIG. 11B is a diagram comparing frequency characteristics of impedance absolute values.

  As shown in FIG. 11B, even if the impedance absolute value can be substantially matched with the measured value, as shown in FIG. 11A, the real part of the impedance can be substantially matched. could not.

  Further, in the method disclosed in Patent Document 1 described above, the method for selecting an equivalent circuit model composed of multi-stage ladder circuits and the method for deriving each circuit constant have not been clear.

  Therefore, since a high-accuracy equivalent circuit model cannot be obtained for the capacitor, simulation in the high frequency region cannot be performed accurately, and an unexpected problem may occur when an electric circuit is actually manufactured. It was.

  Therefore, the present invention has been made to solve such a problem, and an object of the present invention is to provide a computer-readable recording medium on which a highly accurate equivalent circuit model is recorded.

  Another object of the present invention is to provide a program for causing a computer to derive a highly accurate equivalent circuit model.

  Another object of the present invention is to provide a recording medium on which a program for causing a computer to derive a highly accurate equivalent circuit model is recorded.

  Furthermore, another object of the present invention is to provide a program for causing a computer to execute simulation of electrical characteristics of an electric circuit having a capacitor using a highly accurate equivalent circuit model of the capacitor.

  Furthermore, another object of the present invention is to provide a recording medium recording a program for causing a computer to execute simulation of electrical characteristics of an electric circuit having a capacitor using a highly accurate equivalent circuit model of the capacitor. is there.

  Furthermore, another object of the present invention is to provide a design method for designing a capacitor using a highly accurate equivalent circuit model of the capacitor.

  Furthermore, another object of the present invention is to provide a pass / fail judgment method for judging pass / fail of a capacitor using a highly accurate equivalent circuit model of the capacitor.

  Another object of the present invention is to provide a deriving device for deriving a highly accurate equivalent circuit model.

  Furthermore, another object of the present invention is to provide a simulation apparatus for simulating the electrical characteristics of an electric circuit having a capacitor using a highly accurate equivalent circuit model of the capacitor.

  Furthermore, another object of the present invention is to provide a pass / fail judgment device for judging pass / fail of a capacitor using a highly accurate equivalent circuit model of the capacitor.

According to the present invention, a computer-readable recording medium that records an equivalent circuit model of a storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal.
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series,
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit is a computer-readable recording medium on which an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor is recorded.

  Preferably, the first series circuit includes only one series circuit in which the first parallel circuit and the second parallel circuit are connected in series.

  Preferably, the second circuit includes a fourth resistor and a second inductance connected in series to the fourth resistor.

Further, according to the present invention, it is possible to cause the computer to derive an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal. The program
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series,
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit is a program for causing a computer to derive an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor,
Receiving the frequency characteristic of the real part of the measured impedance of the storage element, and the first, second and second so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. 3 is a program for causing a computer to execute the step of optimizing the values of the three resistors, the first and second inductances, and the capacitance.

  Preferably, the step of optimizing includes a first step of changing respective values of the first, second and third resistors, the first inductance and the first and second capacitances, and the changed first. A second step of calculating a frequency characteristic of a real part of an equivalent impedance of the equivalent circuit model using the values of the second and third resistors, the first inductance, and the first and second capacitances; The third step repeats the first and second steps until the frequency characteristic of the real part of the equivalent impedance substantially matches the frequency characteristic of the real part of the measured impedance of the storage element.

In addition, according to the present invention, an electric circuit having an electric storage element using an equivalent circuit model of the electric storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal. A program for causing a computer to execute simulation of electrical characteristics of a circuit is as follows:
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit uses an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor, and the electrical characteristics of the electrical circuit having the storage element It is a program for making a computer execute a simulation,
Receiving a circuit model of an electric circuit including an equivalent circuit model of a storage element; receiving a simulation condition; calculating an electrical characteristic based on the circuit model and simulation condition of the electric circuit; A program for causing a computer to execute a step of outputting a target characteristic.

In addition, according to the present invention, an electric circuit having an electric storage element using an equivalent circuit model of the electric storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal. A method for designing a storage element so that the electrical characteristics of a circuit have desired electrical characteristics is as follows:
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit uses an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor, and an electrical characteristic of an electric circuit having a storage element is It is a method of designing a storage element so as to have desired electrical characteristics,
A step of creating a circuit model of an electric circuit including an equivalent circuit model of a storage element, a step of determining a desired electric characteristic, and an electric characteristic of the circuit model of the electric circuit substantially coincide with the desired electric characteristic. Optimizing the respective values of the first, second and third resistors, the first inductance and the first and second capacitances, and the optimized first, second and third resistors , A method of designing a power storage element comprising the steps of manufacturing the power storage element based on the first inductance and the respective values of the first and second capacitances.

  Preferably, the step of optimizing includes a first step of changing respective values of the first, second and third resistors, the first inductance and the first and second capacitances, and the changed first. A second step of calculating electrical characteristics of the circuit model of the electrical circuit using the values of the second and third resistances, the first inductance, and the first and second capacitances; and And a third step in which the first and second steps are repeated until the electrical characteristics of the circuit model substantially match the desired electrical characteristics.

In addition, according to the present invention, by using an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal, the quality of the storage element is determined. The way to judge is
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit is a method of determining pass / fail of a storage element using an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor,
Obtaining the frequency characteristic of the real part of the measured impedance of the storage element, and the first, second and second so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. Optimizing the respective values of the third resistance, the first inductance and the first and second capacitances, and the optimized first, second and third resistances, the first inductance and the first And determining whether the power storage element is acceptable or not, comprising determining a power storage element as a non-defective product if each value of the second capacitance is within a predetermined range.

  Preferably, the step of optimizing includes a first step of changing respective values of the first, second and third resistors, the first inductance and the first and second capacitances, and the changed first. A second step of calculating a frequency characteristic of a real part of an equivalent impedance of the equivalent circuit model using the values of the second and third resistors, the first inductance, and the first and second capacitances; And a third step in which the first and second steps are repeated until the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the desired electrical characteristic.

In addition, according to the present invention, an apparatus for deriving an equivalent circuit model of a storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal.
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit is a device for deriving an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor, and a real part of a measured impedance of a storage element And the first, second and third resistors and the first inductance so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. And an apparatus for deriving an equivalent circuit model comprising means for optimizing the respective values of the first and second capacitances.

  Preferably, the means for optimizing includes first means for changing the respective values of the first, second and third resistors, the first inductance and the first and second capacitances, and the changed first Second means for calculating the frequency characteristics of the real part of the equivalent impedance of the equivalent circuit model using the values of the second and third resistances, the first inductance, and the first and second capacitances, And third means for repeating the first and second means until the frequency characteristic of the real part of the equivalent impedance substantially matches the frequency characteristic of the real part of the measured impedance of the storage element.

In addition, according to the present invention, an electric circuit having an electric storage element using an equivalent circuit model of the electric storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal. A device that simulates the electrical characteristics of a circuit
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit uses an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor, to obtain an electrical characteristic of an electric circuit having a storage element. A device to simulate,
Means for receiving a circuit model of an electric circuit including an equivalent circuit model, means for receiving a simulation condition, means for calculating an electrical characteristic based on the circuit model and simulation condition of the electric circuit, and calculating the calculated electrical characteristic An apparatus for simulating electrical characteristics.

In addition, according to the present invention, by using an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal, the quality of the storage element is determined. The device to judge is
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit in which a first series circuit and a second series circuit are connected in parallel;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit is a device that determines the quality of the storage element using an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor.
Means for receiving the frequency characteristic of the real part of the measured impedance of the storage element, and the first, second and third resistors, first so that the electrical characteristics of the circuit model of the electrical circuit substantially match the desired electrical characteristics; Means for optimizing the respective inductances and values of the first and second capacitances, the optimized first, second and third resistors, the first inductance and the first and second capacitances, respectively. And a means for determining whether or not the power storage element is acceptable if the value is within a predetermined range.

  According to the present invention, since a highly accurate equivalent circuit model of a capacitor can be obtained, an accurate simulation can be performed particularly in a high frequency region.

  In addition, according to the present invention, an equivalent circuit model corresponding to the capacitor structure can be obtained. Therefore, when designing a capacitor to have desired characteristics, the correspondence with the structure is clear and efficient. Can design.

  Furthermore, according to the present invention, the product can be evaluated using the equivalent circuit model derived from the ESR for each sampling frequency, so that the product can be quickly and inexpensively measured without measuring the electrical characteristics in the entire frequency range. Pass / fail judgment can be made.

  Embodiments of the present invention will be described in detail with reference to the drawings. Note that the same or corresponding parts in the drawings are denoted by the same reference numerals and description thereof will not be repeated.

[Embodiment 1]
A program for causing a computer to derive an equivalent circuit model of a capacitor according to the first embodiment of the present invention will be described.

  First, an equivalent circuit model of the capacitor will be described.

  As shown in FIG. 11A, the actually measured ESR rises on the high frequency side and the low frequency side. Since the degree of increase varies depending on the capacitor, it is necessary to adopt an equivalent circuit model in which the ESR characteristic changes flexibly by changing the value of each element constituting the circuit.

  FIG. 1 shows an equivalent circuit model according to the first embodiment of the present invention.

  Referring to FIG. 1, the equivalent circuit model according to the first embodiment of the present invention includes a circuit 10 corresponding to a power storage unit and a circuit 20 corresponding to a terminal unit.

  The circuit 10 includes a first series circuit 11 in which a parallel circuit of a resistor R1 and an inductance L1, a parallel circuit of a resistor R2 and a capacitance C1 are connected in series, and a second series in which a resistor R3 and a capacitance C2 are connected in series. The first series circuit 11 and the second series circuit 12 are connected in parallel to each other.

  The circuit 20 is a circuit in which an inductance L2 and a resistor R4 are connected in series.

  The impedance calculation formula of the equivalent circuit model shown in FIG.

第１の直列回路１１における抵抗Ｒ１とインダクタンスＬ１との並列回路に流入する電流は、抵抗Ｒ１とインダクタンスＬ１とのインピーダンスの逆数比に比例して分流される。インダクタンスＬ１のインピーダンスは周波数に比例する。そのため、低周波数領域では、インダクタンスＬ１は低インピーダンスであり、インダクタンスＬ１に流れる電流の比率は大きく、並列回路全体のＥＳＲは小さい。一方、高周波数になるにつれインダクタンスＬ１は高インピーダンスとなるため、抵抗Ｒ１に流れる電流の比率は大きくなり、並列回路全体のＥＳＲは上昇することになる。

The current flowing into the parallel circuit of the resistor R1 and the inductance L1 in the first series circuit 11 is shunted in proportion to the reciprocal ratio of the impedance of the resistor R1 and the inductance L1. The impedance of the inductance L1 is proportional to the frequency. Therefore, in the low frequency region, the inductance L1 has a low impedance, the ratio of the current flowing through the inductance L1 is large, and the ESR of the entire parallel circuit is small. On the other hand, since the inductance L1 becomes higher impedance as the frequency becomes higher, the ratio of the current flowing through the resistor R1 increases, and the ESR of the entire parallel circuit increases.

  Therefore, the ESR characteristic in the high frequency region can be changed by the value of the resistance R1 and the value of the inductance L1 of the parallel circuit.

  On the other hand, the current flowing into the parallel circuit of the resistor R2 and the capacitance C1 in the first series circuit 11 is shunted in proportion to the reciprocal ratio of the impedance of the resistor R2 and the capacitance C1. The impedance of the capacitance C1 is inversely proportional to the frequency. Therefore, in the high frequency region, the capacitance C1 has a low impedance, the ratio of the current flowing through the capacitance C1 is large, and the ESR of the entire parallel circuit is small. On the other hand, since the capacitance C1 becomes higher impedance as the frequency becomes lower, the ratio of the current flowing through the resistor R2 increases, and the ESR of the entire parallel circuit increases.

  Therefore, the ESR characteristic in the low frequency region can be changed by the value of the resistance R2 and the value of the capacitance C1 of the parallel circuit.

  The equivalent circuit model of the present invention can also cope with a leakage current value which is one of the characteristics of a capacitor. The leakage current value is measured using a current method or a voltage method (described in JIS C5102 or the like) by applying a constant DC voltage to the capacitor. In the circuit of FIG. 1, the DC current flows through the resistor R2 and the inductance L1, but when the DC voltage is applied, only the resistor R2 acts as a resistance component. Therefore, when the leakage current value I and the DC current V during measurement are used, The value of R2 can be calculated by R2 = V / I. Since the leakage current value is generally as small as several to several hundred μA, the value of R2 becomes large. For this reason, a circuit in which a second series circuit 12 is connected in parallel with the first series circuit 11 is used. As a result, the current flowing through the circuit 10 can be shunted to the first series circuit 11 and the second series circuit 12, and the ESR value that changes due to the increase in the resistance R2 can be corrected.

  Since the circuit 20 has an inductance L2 and a resistor R4 connected in series, the ESR becomes R4 regardless of the frequency.

  Therefore, after determining the resistance R4 using the measurement values in the entire frequency region, the resistance R1 value and the inductance L1 value are measured mainly using the measurement value in the high frequency region, and the measurement value is mainly in the low frequency region. By optimizing the value of the resistance R2, the value of the capacitance C1, the resistance R3, and the capacitance C2, the ESR characteristics can be made to substantially match the actual measurement values in the entire frequency range.

  Next, a program for causing a computer to derive an equivalent circuit model of a capacitor will be described.

  FIG. 2 is a schematic configuration diagram of a computer that executes a program according to the first embodiment of the present invention.

  With reference to FIG. 2, a mouse 114, a keyboard 116, and a display 118 are connected to the computer 100.

The computer 100 stores a CPU (Central Processing Unit) 102 connected to the bus 120 and a program sent to the operating system.
An OM (Read Only Memory) 104, a RAM (Random Access Memory) 106 for loading a program to be executed and storing data during program execution, a hard disk (HDD) 108, a CD-ROM ( Compact Disc Read Only Memory)
Drive 110. A CD-ROM 112 is mounted on the CD-ROM drive 110.

  FIG. 3 is a flowchart of a program for deriving an equivalent circuit model according to the first embodiment of the present invention.

  The computer 100 executes the process of each step shown in FIG. 3 when a program for deriving an equivalent circuit model is executed by the CPU 102.

  Generally, such a program is stored and distributed in a recording medium such as a CD-ROM 112, read from the recording medium by a CD-ROM drive 110, and temporarily stored in the hard disk 108. Further, it is read from the hard disk 108 to the RAM 106 and executed by the CPU 102.

  Referring to FIG. 3, CPU 102 accepts an equivalent circuit model input by the user (step S100). The user reads the equivalent circuit model stored in the CD-ROM 112 from the CD-ROM drive 110 and configures the equivalent circuit model on the display 118 using the keyboard 116 and the mouse 114.

  Next, the CPU 102 receives initial values of the resistors R1, R2, R3, inductance L1, and capacitances C1, C2 of the equivalent circuit model input by the user (step S102). The user inputs initial values of the resistors R1, R2, R3, the inductance L1, and the capacitances C1, C2 using the keyboard 116 and the mouse 114. This initial value is an initial value for performing an optimization process described later, and can be arbitrarily determined by the user. The value of R2 can be determined by calculating R2 = V / I when the leakage current value is I and the measurement direct current is V.

  Further, the CPU 102 receives the ESR measurement value for each sample frequency input by the user (step S104). The user measures the ESR for each of a plurality of sampling frequencies in advance for the target capacitor, and inputs it using the keyboard 116 and the mouse 114. The greater the number of ESR measurements, the better the accuracy of the equivalent circuit model.

  After the input from the user is completed, the CPU 102 determines the value of the resistor R4 (step S106). Focusing on the real part of the impedance calculation formula shown in Formula (1), that is, ESR, R4 does not depend on ω. Therefore, the resistance R4 can be calculated from the sample frequency and the ESR measurement value.

  Next, the CPU 102 performs an optimization process on the circuit 10 corresponding to the power storage unit so that the ESR frequency characteristic calculated using the equivalent circuit model and the actually measured ESR frequency characteristic substantially coincide with each other. The optimization process will be described below.

  The CPU 102 calculates ESR for each sample frequency of the equivalent circuit model in association with the sampling frequency at which ESR is measured (step S108).

  Subsequently, the CPU 102 determines whether or not the measured value of the ESR and the calculated value for each sampling frequency substantially match (step S110).

  When the measured value and the calculated value of ESR for each sampling frequency do not substantially match (NO in step S110), CPU 102 changes the values of resistance R1, R3 inductance L1, capacitance C1, C2 of the equivalent circuit model. (Step S112).

  Hereinafter, steps S108, S110, and S112 described above are repeated until the measured value and the calculated value of ESR for each sampling frequency substantially match in step S110.

  When the measured value and the calculated value of ESR for each sampling frequency substantially coincide (in the case of YES in step S110), the CPU 102 uses the values at that time as the resistances R1, R3, inductance L1, capacitance C1, of the equivalent circuit model. The value is determined as the value of C2 (step S114).

  The above is the optimization process.

  Thereafter, the CPU 102 accepts the measurement value of the impedance absolute value of the predetermined frequency input by the user (step S116). The user measures the impedance absolute value at one predetermined frequency in advance with respect to the target capacitor and inputs it using the keyboard 116 and the mouse 114.

  Then, the CPU 102 calculates the inductance L2 (Step S118). The CPU 102 can calculate the inductance L2 from the equation (1) using the values of the resistors R1, R2, R3, the inductance L1 and the capacitance C1 determined in the above steps and the impedance absolute value of a predetermined frequency.

  Finally, the CPU 102 outputs the values of the resistors R1, R2, R3, R4, inductances L1, L2, and capacitances C1, C2 to the display 118 or the like (step S120).

  By the above steps, an equivalent circuit model of the target capacitor can be derived.

  Note that as an example of a method of changing the values of the resistors R1, R3, inductance L1, and capacitances C1, C2 until they substantially coincide with the measured values of ESR for each sample frequency, there is a nonlinear least square method. Newton's method, pattern method, Gauss-Newton method and the like are known as typical algorithms of the nonlinear least square method.

  FIG. 4 is a diagram comparing frequency characteristics with measured values when the equivalent circuit model according to the first embodiment of the present invention is applied to a polymer organic semiconductor solid electrolytic capacitor.

  FIG. 4A is a diagram comparing the frequency characteristics of ESR.

  FIG. 4B is a diagram comparing frequency characteristics of impedance absolute values.

  4 (a) and 4 (b), when the equivalent circuit model according to the first embodiment of the present invention is used, both the frequency characteristics of ESR and the frequency characteristics of impedance absolute value are measured. The value can be substantially matched.

  FIG. 5 is a diagram showing an example of another equivalent circuit model.

  As an equivalent circuit model according to the first embodiment of the present invention, as shown in FIG. 5, a third series circuit 13 in which a resistor R5 and a capacitance C3 are connected in series to a circuit 10 corresponding to the power storage unit of FIG. Is connected to.

The recording medium for storing the program is not limited to a CD-ROM or a hard disk, but a flexible disk, a cassette tape, an optical disk (MO (Magnetic Optical
Disc) / MD (Mini Disc) / DVD (Digital Versatile Disc)), IC card (including memory card), optical card, mask ROM, EPROM, EEPROM, flash ROM, semiconductor memory, etc. It may be a medium to be used.

[Embodiment 2]
A program for causing a computer to execute simulation of electrical characteristics of an electric circuit having a capacitor according to the second embodiment of the present invention will be described.

  FIG. 6 is an example of an electric circuit having a capacitor according to the second embodiment of the present invention.

  FIG. 6A is a configuration diagram of a power supply decoupling circuit.

  FIG. 6B is a circuit model of the power supply decoupling circuit.

  The power supply decoupling circuit is a circuit generally used as a power supply noise filter. FIG. 6A shows a power supply decoupling circuit composed of two capacitors.

  FIG. 6B shows a circuit model configured from the power supply decoupling circuit shown in FIG. 6A using the equivalent circuit model shown in FIG.

  FIG. 7 is a flowchart of a program for simulating an electric circuit having a capacitor according to the second embodiment of the present invention.

  The detailed description of the computer that executes the process has been described above, and will be omitted.

  The user derives in advance an equivalent circuit model of the capacitors 204 and 206 shown in FIG. 6A by a program according to the first embodiment of the present invention.

  Referring to FIG. 7, CPU 102 receives a circuit model of an electric circuit input by a user (step S200). The user configures a circuit model as shown in FIG. 6B on the display 118 using the keyboard 116 and the mouse 114.

  Next, the CPU 102 receives a constant value of each element of the circuit model (step S202). The user uses the keyboard 116 and the mouse 114 to have resistors R41, R42, R43, R44, inductances L41, L42, capacitances C41, C42, resistors R51, R52, R53, R54, an inductance L51, shown in FIG. The values of L52 and capacitances C51 and C52 are input.

  Further, the CPU 102 accepts initial conditions for simulation (step S204). The user uses the keyboard 116 and mouse 114 to input a frequency range for obtaining desired electrical characteristics, an input signal waveform, and the like as initial conditions.

  For example, in FIG. 6B, when it is desired to simulate the frequency transfer characteristic from the power source side to the load side, the frequency range of the signal applied from the power source side is input as an initial condition.

  CPU 102 calculates electrical characteristics from the accepted circuit model and initial conditions (step S206). As a calculation method, a nodal analysis method based on Kirchhoff's law is known.

  Thereafter, the CPU 102 outputs the electrical characteristics obtained by the calculation to the display 118 or the like (step S208).

  Note that the user can also store the electrical characteristics obtained by the calculation in the hard disk 108 or the like as electronic data.

  Through the above-described steps, the electrical characteristics of the target electric circuit can be simulated using the equivalent circuit model of the capacitor.

[Embodiment 3]
An apparatus for determining the quality of a capacitor according to the third embodiment of the present invention will be described.

  FIG. 8 is a schematic configuration diagram of an apparatus for determining the quality of a capacitor according to the third embodiment of the present invention.

  The apparatus for determining whether or not a capacitor is good includes a microcomputer 100, a mouse 114, a keyboard 116, a display 118, and a measurement unit 150.

  Since the microcomputer 100, the mouse 114, the keyboard 116, and the display 118 are the same as those described above, detailed description thereof is omitted.

  The measuring unit 150 measures the ESR and the absolute impedance value at an arbitrary sample frequency in response to a command from the CPU 102, and transfers the measurement data to the RAM 106. The measurement unit 150 performs vector calculation on the applied AC voltage waveform and the AC current waveform to measure the ESR and the impedance absolute value, but since it is a well-known technique, a detailed description thereof is omitted.

  In Embodiment 3 of the present invention, the equivalent circuit model shown in FIG. 1 is adopted as the equivalent circuit model of the capacitor.

  FIG. 9 is a flowchart of a program for determining the quality of a capacitor according to the third embodiment of the present invention.

  Referring to FIG. 9, CPU 102 accepts an equivalent circuit model input by the user. The user determines an equivalent circuit model using the keyboard 116 and the mouse 114 (step S400).

  Further, the CPU 102 receives a reference value and an allowable range for each element of the determined equivalent circuit model input by the user (step S402). Using the keyboard 116 and the mouse 114, the user inputs the reference values of the resistors R1, R2, R3, R4, the inductances L1, L2, and the capacitances C1, C2 and an allowable range that can be determined to be a non-defective product.

  Next, the measurement unit 150 measures the ESR of the product for each of a plurality of sample frequencies in response to a command from the CPU 102 (step S404), and transfers the data to the RAM 106.

  Further, the measurement unit 150 measures the absolute value of the impedance of a product having a predetermined frequency in response to a command from the CPU 102 (step S406), and transfers the data to the RAM 106.

  The CPU 102 derives an equivalent circuit model of the product (step S408). Since this step is the same as steps S106, S108, S110, S112, S114, S116, S118, and S120 shown in FIG. 3 in the first embodiment of the present invention, detailed description thereof is omitted.

  Thereafter, the CPU 102 determines whether or not the derived resistors R1, R2, R3, R4, inductances L1, L2, and capacitances C1, C2 are within an allowable range from the reference value (step S410).

  If all values are within the allowable range from the reference value (YES in step S410), CPU 102 determines that the product is “good” (step S412).

  On the other hand, if any value is not within the allowable range from the reference value (NO in step S410), CPU 102 determines that the product is a “defective product” (step S414).

  As described above, the quality of the product can be determined using the equivalent circuit model derived from the ESR for each sampling frequency.

  In the fourth embodiment of the present invention, an apparatus composed of the computer 100 provided with the measuring unit 150 has been described. Thereafter, the data may be input to a device that performs the same processing.

  The embodiment disclosed this time should be considered as illustrative in all points and not restrictive. The scope of the present invention is defined by the terms of the claims, rather than the description above, and is intended to include any modifications within the scope and meaning equivalent to the terms of the claims.

It is the figure which showed the equivalent circuit model according to Embodiment 1 of this invention. It is a schematic block diagram of the computer which executes the program according to Embodiment 1 of this invention. It is a flowchart of the program which derives | leads-out the equivalent circuit model according to Embodiment 1 of this invention. It is the figure which compared the frequency characteristic at the time of applying the equivalent circuit model according to Embodiment 1 of this invention to a polymer organic semiconductor solid electrolytic capacitor with a measured value. It is the figure which showed an example of the other equivalent circuit model. It is an example of the electric circuit which has a capacitor | condenser according to Embodiment 2 of this invention. It is a flowchart of the program which performs the simulation of the electric circuit which has a capacitor | condenser according to Embodiment 2 of this invention. It is a schematic block diagram of the apparatus which judges the quality of the capacitor | condenser according to Embodiment 3 of this invention. It is a flowchart of the program which judges the quality of the capacitor | condenser according to Embodiment 3 of this invention. It is a conventional three-element equivalent circuit model. It is the figure which compared the frequency characteristic at the time of applying the conventional 3 element equivalent circuit model to a polymer organic semiconductor solid electrolytic capacitor with a measured value.

Explanation of symbols

10, 70a, 70b A circuit corresponding to the power storage unit,
20, 80a, 80b circuit corresponding to the terminal part,
100 computers,
102 CPU,
104 ROM,
106 RAM,
108 hard disk (HDD),
110 CD-ROM drive,
112 CD-ROM,
114 mice,
116 keyboard,
118 display,
120 buses,
150 measuring section,
200 power supply,
202 tracks,
204,206 capacitors,
R1, R2, R3, R4, R10, R41, R42, R43, R44, R51, R52, R53 R54 resistors,
L1, L2, L10, L41, L42, L51, L52 Inductance,
C1, C2, C10, C41, C42, C51, C52 Capacitance.

Claims (15)

An equivalent circuit model of a storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal,
The equivalent circuit model includes a first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit,
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series,
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a computer for deriving an equivalent circuit model including a third resistor and a second capacitance connected in series to the third resistor.
Receiving means for receiving a frequency characteristic of a real part of a measured impedance of the storage element;
The first, second and third resistors, the first inductance, and the first so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. And an optimization means for optimizing the respective values of the second capacitance,
A computer-readable recording medium on which an equivalent circuit model deriving program for functioning as a computer is recorded. The computer-readable recording the equivalent circuit model derivation program according to claim 1, wherein the second circuit includes a second inductance and a fourth resistor connected in series to the second inductance. recoding media. A program for causing a computer to derive an equivalent circuit model of a storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal,
The equivalent circuit model is
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series,
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The program is
Receiving the frequency characteristic of the real part of the measured impedance of the storage element;
The first, second and third resistors, the first inductance, and the first so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. And a program for causing the computer to execute a step of optimizing each value of the second capacitance. Said optimizing step comprises:
A first step of changing respective values of the first, second and third resistors, the first inductance and the first and second capacitances;
A second frequency characteristic for calculating a frequency characteristic of a real part of an equivalent impedance of the equivalent circuit model using the changed values of the first, second and third resistors, the first inductance, and the first and second capacitances; And the steps
The third step of repeating the first step and the second step until the frequency characteristic of the real part of the calculated equivalent impedance substantially matches the frequency characteristic of the real part of the measured impedance of the storage element. A program for causing the computer described in 3 to be executed. Simulation of electrical characteristics of the electric circuit having the electric storage element using an equivalent circuit model of the electric storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal A program for causing a computer to execute
The equivalent circuit model includes a first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit,
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The program is
Receiving a circuit model of the electrical circuit including an equivalent circuit model of the storage element;
Accepting simulation conditions;
Calculating the electrical characteristics based on a circuit model and simulation conditions of the electrical circuit;
A program for causing a computer to execute the step of outputting the calculated electrical characteristics. The computer-readable recording medium which recorded the program of any one of Claims 3-5. The electrical characteristics of the electrical circuit having the storage element are desired by using an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal. A method of designing a storage element so as to have the electrical characteristics of
The equivalent circuit model is
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The method
Calculating means for receiving a circuit model of the electric circuit including an equivalent circuit model of the electricity storage element;
Calculating means for calculating the desired electrical characteristics;
A step of optimizing the respective values of the first and second resistors, the inductance, and the capacitance so that an electric characteristic of a circuit model of the electric circuit substantially matches the desired electric characteristic; When,
And a step of designing the power storage device based on the optimized first, second and third resistances, first inductance, and first and second capacitance values, respectively. How to design. Said optimizing step comprises:
A first step of calculating means for changing respective values of the first, second and third resistors, the first inductance, and the first and second capacitances;
The computing means calculates the electrical characteristics of the circuit model of the electrical circuit using the changed values of the first, second and third resistances, the first inductance, and the first and second capacitances. Two steps,
The calculation means comprises a third step in which the first and second steps are repeated until an electric characteristic of the calculated circuit model of the electric circuit substantially matches the desired electric characteristic. A method for designing the electricity storage device described in 1. A method for judging pass / fail of a storage element using an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal,
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The method
Measuring means, obtaining the frequency characteristics of the real part of the measured impedance of the electricity storage element;
The computing means is configured to provide the first, second and third resistors, the first inductance so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. And optimizing the respective values of the first and second capacitances;
If the calculation means has values of the optimized first, second and third resistors, first inductance, and first and second capacitances within predetermined ranges, the storage element is selected. A method for judging whether or not a power storage element is good, comprising a step of judging that the product is good. Said optimizing step comprises:
A first step in which computing means changes values of the first, second and third resistors, the first inductance, and the first and second capacitances;
The computing means uses the changed values of the first, second and third resistances, the first inductance, and the first and second capacitances to calculate the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model. A second step of calculating;
From the third step, the arithmetic means repeats the first and second steps until the frequency characteristic of the real part of the calculated equivalent impedance substantially matches the frequency characteristic of the real part of the measured impedance of the storage element. The method of judging the quality of the electrical storage element of Claim 9. An apparatus for deriving an equivalent circuit model of a storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal,
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The device is
Means for receiving the frequency characteristic of the real part of the measured impedance of the storage element;
The first, second and third resistors, the first inductance, and the first so that the frequency characteristic of the real part of the equivalent impedance of the equivalent circuit model substantially matches the frequency characteristic of the real part of the measured impedance. And means for deriving an equivalent circuit model comprising means for optimizing respective values of the second capacitance. The means for optimizing is
First means for changing respective values of the first, second and third resistors, the first inductance and the first and second capacitances;
A second frequency characteristic for calculating a frequency characteristic of a real part of an equivalent impedance of the equivalent circuit model using the changed values of the first, second and third resistors, the first inductance, and the first and second capacitances; Means of
3. A third means that repeats the first and second means until the frequency characteristic of the real part of the calculated equivalent impedance substantially matches the frequency characteristic of the real part of the measured impedance of the storage element. An apparatus for deriving the equivalent circuit model according to 11. Simulate the electrical characteristics of an electrical circuit having a storage element using an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal A device,
The equivalent circuit model is
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The device is
Means for receiving a circuit model of the electrical circuit including the equivalent circuit model;
Means for accepting simulation conditions;
Means for calculating the electrical characteristics based on a circuit model and simulation conditions of the electrical circuit;
An apparatus for simulating electrical characteristics, comprising: means for outputting the calculated electrical characteristics. An apparatus for judging pass / fail of a storage element using an equivalent circuit model of the storage element that changes so that the real part of the equivalent impedance substantially matches the real part of the measured impedance according to the frequency of the applied AC signal,
The equivalent circuit model is
A first circuit corresponding to the power storage unit, and a second circuit connected in series to the first circuit and corresponding to the terminal unit;
The first circuit comprises a parallel circuit comprising a first series circuit and a second series circuit connected in parallel with the first series circuit at both ends of the first series circuit;
The first series circuit includes a series circuit in which a first parallel circuit and a second parallel circuit are connected in series;
The first parallel circuit includes a first resistor and a first inductance connected in parallel to the first resistor;
The second parallel circuit comprises a second resistor and a first capacitance connected in parallel to the second resistor;
The second series circuit includes a third resistor and a second capacitance connected in series to the third resistor;
The device is
Means for receiving the frequency characteristic of the real part of the measured impedance of the storage element;
The first, second and third resistors, the first inductance, and the first so that the electrical characteristics of the circuit model of the electrical circuit substantially match the frequency characteristics of the real part of the measured impedance of the storage element . And means for optimizing the respective values of the second capacitance;
Means for determining that each of the optimized first, second and third resistances, first inductance, and first and second capacitances is a non-defective product within a predetermined range. A device for judging the quality of a storage element. The means for optimizing is
First means for changing respective values of the first, second and third resistors, the first inductance, and the first and second capacitances;
A second frequency characteristic for calculating a frequency characteristic of a real part of an equivalent impedance of the equivalent circuit model using the changed values of the first, second and third resistors, the first inductance, and the first and second capacitances; Means of
3. A third means that repeats the first and second means until the frequency characteristic of the real part of the calculated equivalent impedance substantially matches the frequency characteristic of the real part of the measured impedance of the storage element. 14. An apparatus for judging the quality of the electricity storage device according to 14.

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