Design method of universal equivalent inductor

The equivalent inductor design method of the operational amplifier and capacitor-resistor combination solves the problems of large inductor size and heavy weight, realizes the convenience of circuit integration and the application of universal equivalent inductor, and is suitable for replacing grounding, power supply grounding and floating inductors.

CN120724945APending Publication Date: 2025-09-30山东航空学院
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Patent Information

Application Number
CN202510846162.5
Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
Filing Date
2025-06-24
Publication Date
2025-09-30

AI Technical Summary

Technical Problem

In the prior art, inductors are large in size and heavy in weight in circuit design, making them inconvenient to integrate. In addition, there is a lack of effective equivalent circuit design solutions for floating inductors.

Method used

A universal equivalent inductance design method is adopted, which uses an operational amplifier and a combination of capacitors and resistors to realize the equivalent design of ground inductance, power supply ground inductance and floating inductance. The equivalent inductance is formed by connecting different ports of the operational amplifier and resistors and capacitors.

Benefits of technology

The invention facilitates the integration of the circuit, reduces the volume and weight of the circuit, can replace the grounding and floating inductance in the memristor chaotic circuit, and has versatility and flexibility.

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Abstract

The invention relates to a design method of an equivalent inductor, in particular to a design method of a universal equivalent inductor, the inductor is used as a basic passive element in a circuit and plays a very important role in design and application of the circuit, but the inductor is huge in size, heavy in weight and inconvenient to integrate, which is a remarkable disadvantage in modern electronic equipment. An integrated operational amplifier, a resistor and a capacitor are utilized to achieve the function of an inductor, the defects that the inductor is large in size and heavy in weight can be overcome, integration is convenient, and the inductor is also called an equivalent inductor or a rotary inductor. The universal equivalent inductor designed by using the method can conveniently replace a grounding inductor and a floating inductor in a memristor chaotic circuit, so that the size and the weight of the circuit are reduced, and the circuit is more convenient to realize.
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Description

Technical Field

[0001] The present invention relates to a design method of an equivalent inductor, and in particular to a design method of a universal equivalent inductor. Background Art

[0002] As a basic passive component in a circuit, the inductor plays a very important role in the design and application of the circuit. However, the inductor is bulky, heavy, and difficult to integrate, which is a significant disadvantage in modern electronic devices. The function of the inductor can be realized by using an integrated operational amplifier, resistors, and capacitors, and the disadvantages of the inductor's large size and heavy weight can be overcome, and it is easy to integrate. This inductor is also called an equivalent inductor or a rotary inductor, but the existing equivalent inductor design method can only be used in the case where one end of the inductor needs to be grounded, which is called a grounded inductor. If neither end of the inductor is grounded, it is called a floating inductor. The equivalent design of the grounded inductor has been widely used in chaotic circuits, etc., but no effective equivalent circuit design scheme has been proposed for the floating inductor. The present invention proposes a universal equivalent design method for grounded inductors and floating inductors. The universal equivalent inductor designed by this method can conveniently replace the grounded inductor and the floating inductor in the memristor chaotic circuit, reducing the circuit volume and weight and making it easier to implement the circuit. Summary of the Invention

[0003] The technical problem to be solved by the present invention is to provide a design method and implementation of a universal equivalent inductor. The present invention adopts the following technical means to achieve the purpose of the invention:

[0004] 1. A method for designing a universal equivalent inductor, characterized in that: an input end (Li) of the equivalent inductor is connected to the non-inverting input end of an operational amplifier (U2), and is connected to the output end of the operational amplifier (U1) through a resistor (R1); one end of the resistor (R2) is connected to the output end of the operational amplifier (U1), and the other end is connected to the inverting input ends of both the operational amplifiers (U1 and U2); one end of the resistor (R3) is connected to the inverting input ends of both the operational amplifiers (U1 and U2), and the other end is connected to the output end of the operational amplifier (U2); one end of the capacitor (C1) is connected to the output end of the operational amplifier (U2), and the other end is connected to the non-inverting input end of the operational amplifier (U1) and one end of the resistor (R4); one end of the resistor (R4) is connected to the output end of the operational amplifier (U2); The non-inverting input terminal of (U1) and capacitor (C1) are connected at the same time, and the other end is connected to the capacitor (C2) and the non-inverting input terminal of the operational amplifier (U3). One end of the capacitor (C2) is connected to the non-inverting input terminal of the operational amplifier (U3), and the other end is connected to the output terminal of the operational amplifier (U4). One end of the resistor (R5) is connected to the inverting input terminals of the operational amplifiers (U3 and U4) at the same time, and the other end is connected to the output terminal of the operational amplifier (U4). One end of the resistor (R6) is connected to the inverting input terminals of the operational amplifiers (U3 and U4) at the same time, and the other end is connected to the output terminal of the operational amplifier (U3). One end of the resistor (R7) is connected to the output terminal of the operational amplifier (U3), and the other end is connected to the non-inverting input terminal of the operational amplifier (U4) and the output terminal (Lo) of the equivalent inductor.

[0005] 2. A method for designing a universal equivalent inductor according to claim 1, characterized in that: for the equivalent method of grounded inductance, the input end (Li) of the universal equivalent inductor is connected to the circuit of the actual inductor, and the output end (Lo) of the universal equivalent inductor is grounded.

[0006] 3. A method for designing a universal equivalent inductor according to claim 1, characterized in that: for the equivalent method of inductance through power supply grounding, the input end (Li) of the universal equivalent inductor is connected to the circuit of the actual inductor, and the output end (Lo) of the universal equivalent inductor is grounded through the power supply.

[0007] 4. A method for designing a universal equivalent inductor according to claim 1, characterized in that: for an equivalent method of an inductor connected to a power supply ground after passing through a resistor, the input end (Li) of the universal equivalent inductor is connected to a circuit of an actual inductor, and the output end (Lo) of the universal equivalent inductor is connected to a power supply ground after passing through a resistor.

[0008] 5. A method for designing a universal equivalent inductor according to claim 1, characterized in that: the equivalent method of the floating inductor is that the input end (Li) of the universal equivalent inductor is connected to one end of the actual inductor, and the output end (Lo) of the universal equivalent inductor is connected to the other end of the actual inductor.

[0009] The beneficial effects of the present invention are: a design method for a universal equivalent inductor is proposed, and the universal equivalent inductor can be used to conveniently realize the equivalent design of ground inductance, ground inductance through power supply, ground inductance through resistance and power supply, and floating inductance. The method is universal and can meet the common equivalent realization of inductance. BRIEF DESCRIPTION OF THE DRAWINGS

[0010] Figure 1 This is the circuit diagram of the universal equivalent inductor.

[0011] Figure 2 (a) is the structural diagram of the grounding inductor (1), (b) is the circuit diagram of the grounding inductor (1), and (c) is the simulation diagram of the grounding equivalent inductance (1).

[0012] Figure 3 (a) is the structural diagram of the power ground inductor, (b) is the circuit diagram of the power ground inductor, and (c) is the simulation result diagram of the equivalent inductance of the power ground with input positive 4V and negative 4V respectively.

[0013] Figure 4 (a) is a structural diagram of an inductor connected to a power supply and then to ground after passing through a resistor, (b) is a simulation diagram of the equivalent circuit of an inductor connected to a power supply and then to ground after passing through a resistor, and (c) is a simulation diagram of the equivalent circuit of an inductor connected to a power supply and then to ground after passing through a resistor.

[0014] Figure 5 (a) is the structural diagram of the floating inductor, (b) is the numerical simulation diagram of the circuit results, (c) is the equivalent circuit diagram of the floating inductor, and (d) is the simulation diagram of the equivalent circuit of the floating inductor.

[0015] Figure 6 (a) is the structural diagram of the grounding inductor (2), (b) is the circuit diagram of the grounding inductor (2), and (c) is the simulation diagram of the grounding equivalent inductance (2).

[0016] Figure 7 (a) is the structural diagram of the grounding inductor (3), (b) is the circuit diagram of the grounding inductor (3), and (c) is the simulation diagram of the grounding equivalent inductance (3). DETAILED DESCRIPTION

[0017] The present invention will be described in further detail below with reference to the accompanying drawings and preferred embodiments. Figure 1-Figure 7 .

[0018] Implementation Example 1:

[0019] In May 2010, American scholars MUTHUSWAMY B and CHUA LO published an academic paper titled SIMPLEST CHAOTIC CIRCUIT in the International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, Vol. 20, No. 5, Pages 1567-1580, proposing a current-controlled memristor model.

[0020]

[0021] The artificial neuron circuit composed of a memristor based on equation i and a 1nF capacitor and a 330mH inductor in series can simulate the dynamic behavior of neurons. From the structural diagram and circuit diagram provided in the paper, it can be seen that the inductor in this circuit is an inductor directly connected to the ground, corresponding to the input end (Li) of the equivalent inductor in claim 2 connected to the capacitor C3, and the output end (Lo) of the equivalent inductor is connected to the ground. The parameters of the equivalent inductor are R1=R7=330Ω, R2=R3=R5=R6=10kΩ, R4=100kΩ, C1=C2=10nF. The parameters of the memristor in the circuit are the same as those in the paper. The structural diagram of the circuit, the equivalent circuit diagram and the simulation result diagram are shown as follows: Figure 2 As shown in (a), (b) and (c), it can be seen that the results are completely consistent with those in the original paper, which shows that the equivalent inductance can play the same role as the inductance directly connected to the ground.

[0022] Implementation Example 2:

[0023] In the paper "Complex dynamics of abi-directional N-type locally-active memristor" published in Volume 105 of Communications in Nonlinear Science and Numerical Simulation (starting page 106086) in February 2022, Dong Yujiao et al. proposed a bidirectional voltage-type locally active memristor model:

[0024]

[0025] The memristor based on equation ii is connected in series with a 10mH inductor and a power supply, and then connected in parallel with a 2.2nF capacitor to form an artificial neuron circuit, which can simulate the dynamic behavior of neurons. From the structural diagram and circuit diagram provided in the paper, it can be seen that the inductor in this circuit is not directly connected to the ground, but is grounded through the power supply. The equivalent method corresponding to claim 3 of grounding the inductor through the power supply is a circuit in which the input end (Li) of the universal equivalent inductor is connected to the actual inductor, and the output end (Lo) of the universal equivalent inductor is grounded through the power supply. The parameters in the equivalent inductor are R1=R7=100Ω, R2=R3=R5=R6=10kΩ, R4=10kΩ, C1=C2=10nF. The parameters in the memristor are the same as those in the paper. The structural diagram of the circuit, the equivalent circuit diagram and the simulation result diagram are shown as follows. Figure 3 As shown in (a), (b) and (c), it can be seen that the results are completely consistent with those in the original paper, which shows that the equivalent inductance can play the same role as the grounding inductance through the power supply.

[0026] Implementation Example 3:

[0027] In the academic paper S-type locally active memristor-based periodic and chaotic oscillators published by Liang Yan et al. in IEEE Transactions on Circuits and Systems I: Regular Papers, Vol. 67, No. 12, pp. 5139-5152 in August 2020, the current-controlled locally active memristor model is proposed as follows:

[0028]

[0029] The memristor based on equation iii is first connected in series with a 33mH inductor, then in parallel with a 120nF capacitor and then grounded through a 5kΩ resistor and a 17.41V power supply. It can form an artificial neuron circuit and simulate the dynamic behavior of neurons. From the structural diagram and circuit diagram provided in the paper, it can be seen that the inductor in this circuit is connected to the power supply and then to the ground through the resistor, which corresponds to claim 4. The equivalent method for the inductor that is connected to the power supply and then to the ground through the resistor is to connect the input end (Li) of the universal equivalent inductor to the actual inductor circuit, and the output end (Lo) of the universal equivalent inductor is connected to the power supply and then to the ground through the resistor. The parameters in the equivalent inductor are R1=R7=330ΩR4=10kΩ, R2=R3=R5=R6=10kΩ, C1=C2=10nF. The parameters in the memristor are the same as those in the paper. The structural diagram of the circuit, the equivalent circuit diagram and the simulation result diagram are shown as follows: Figure 4As shown in (a), (b) and (c), it can be seen that the results are completely consistent with those in the original paper, which shows that the equivalent inductance can play the same role as the grounding inductance through the power supply.

[0030] Implementation Example 4:

[0031] The memristor model used by Yang Fangyan et al. in their academic paper "Four-dimensional hyperchaotic memristor circuit based on Chua circuit" published in Volume 63, Issue 8 of the Journal of Physics in 2014, No. 080502, is:

[0032]

[0033] A four-dimensional hyperchaotic system can be obtained by replacing the resistor in the Cai circuit with the memristor model iv. From the structural diagram and circuit diagram provided in the paper, it can be seen that the inductor in this circuit is a floating inductor, corresponding to claim 5. The equivalent method for the floating inductor is to connect the input end (Li) of the universal equivalent inductor to one end of the actual inductor, and the output end (Lo) of the universal equivalent inductor to the other end of the actual inductor. The parameters in the equivalent inductor are R1=R7=280ΩR4=1kΩ, C1=C2=10nF, R2=R3=R5=R6=10kΩ. The other parameters in the circuit are the same as those in the paper. The structural diagram, numerical simulation diagram, equivalent circuit diagram and simulation results of the circuit are shown as follows: Figure 5 As shown in (a), (b), (c), and (d), it can be seen that using an equivalent floating inductor to replace the actual inductance of 2.8mH in the paper is completely consistent with the results in the original paper, which shows that the equivalent inductor can play the same role as the grounding inductance through the power supply.

[0034] Implementation Example 5:

[0035] The voltage-type local active memristor model proposed by Wang Shichang et al. in the paper Neuromorphic Behavior of N-Type Locally Active Memristors published in Volume 71, Issue 5 of the Acta Physica Sinica in May 2022 is:

[0036]

[0037] The memristor model based on equation v is connected in series with an inductor and a power supply and then grounded to form a humanoid neuron that imitates human neurodynamic behavior. From the structural diagram and circuit diagram provided in the paper, it can be seen that the inductor in this circuit is not directly connected to the ground, but is grounded through the power supply. The equivalent method corresponding to claim 3 of grounding the inductor through the power supply is a circuit in which the input end (Li) of the universal equivalent inductor is connected to the actual inductor, and the output end (Lo) of the universal equivalent inductor is grounded through the power supply. The parameters in the equivalent inductor are R1=R7=300Ω, R2=R3=R5=R6=10kΩ, R4=100kΩ, C1=C2=10nF. The parameters in the memristor are the same as those in the paper. The structural diagram of the circuit, the equivalent circuit diagram and the result simulation diagram are shown as follows: Figure 6 As shown in (a), (b) and (c), it can be seen that the results are completely consistent with those in the original paper, which shows that the equivalent inductance can play the same role as the grounding inductance through the power supply.

[0038] Implementation Example 6:

[0039] In their paper Biphasic action potential and chaos inasymmetrical Chua corsage memristor-based circuit published in Volume 33, Issue 2 of Chaos: An Interdisciplinary Journal of Nonlinear Science in February 2023, Jin Peipei et al. proposed a voltage-type local active memristor model:

[0040]

[0041] The memristor based on equation vi is connected in series with a 4.7mH inductor and a power supply, and then connected in parallel with a 10nF capacitor to form an artificial neuron circuit, which can simulate the dynamic behavior of neurons and produce bidirectional dynamic behavior. From the structural diagram and circuit diagram provided in the paper, it can be seen that the inductor in this circuit is not directly connected to the ground, but is grounded through the power supply. The equivalent method corresponding to claim 3 of grounding the inductor through the power supply is a circuit in which the input end (Li) of the universal equivalent inductor is connected to the actual inductor, and the output end (Lo) of the universal equivalent inductor is grounded through the power supply. The parameters in the equivalent inductor are R1=R7=100Ω, R2=R3=R5=R6=10kΩ, R4=10kΩ, C1=C2=10nF. The parameters in the memristor are the same as those in the paper. The structural diagram of the circuit, the equivalent circuit diagram and the result simulation diagram are shown as follows. Figure 7 As shown in (a), (b) and (c), it can be seen that the results are completely consistent with those in the original paper, which shows that the equivalent inductance can play the same role as the grounding inductance through the power supply.

[0042] Of course, the above description is not a limitation of the present invention, and the present invention is not limited to the above examples. Changes, modifications, additions or substitutions made by ordinary technicians in this technical field within the essential scope of the present invention also fall within the scope of protection of the present invention.

Claims

1. A method for designing a universal equivalent inductor, characterized by: The input end (Li) of the equivalent inductor is connected to the non-inverting input end of the operational amplifier (U2), and is connected to the output end of the operational amplifier (U1) through the resistor (R1). One end of the resistor (R2) is connected to the output end of the operational amplifier (U1), and the other end is connected to the inverting input ends of the operational amplifiers (U1 and U2). One end of the resistor (R3) is connected to the inverting input ends of the operational amplifiers (U1 and U2), and the other end is connected to the output end of the operational amplifier (U2). One end of the capacitor (C1) is connected to the output end of the operational amplifier (U2), and the other end is connected to the non-inverting input end of the operational amplifier (U1) and one end of the resistor (R4). One end of the resistor (R4) is connected to the non-inverting input end of the operational amplifier (U1) and the capacitor (C1). Capacitor (C1), the other end of which is connected to capacitor (C2) and the non-inverting input of operational amplifier (U3), one end of capacitor (C2) is connected to the non-inverting input of operational amplifier (U3), and the other end is connected to the output of operational amplifier (U4), one end of resistor (R5) is connected to the inverting input of operational amplifier (U3 and U4) at the same time, and the other end is connected to the output of operational amplifier (U4), one end of resistor (R6) is connected to the inverting input of operational amplifier (U3 and U4) at the same time, and the other end is connected to the output of operational amplifier (U3), one end of resistor (R7) is connected to the output of operational amplifier (U3), and the other end is connected to the non-inverting input of operational amplifier (U4) and the output (Lo) of equivalent inductor.

2. The method for designing a universal equivalent inductor according to claim 1, characterized in that: The equivalent method for grounded inductance is to connect the input terminal (Li) of the universal equivalent inductor to the circuit of the actual inductor, and the output terminal (Lo) of the universal equivalent inductor to ground.

3. The method for designing a universal equivalent inductor according to claim 1, wherein: For the equivalent method of inductance through power supply grounding, the input terminal (Li) of the universal equivalent inductor is connected to the circuit of the actual inductor, and the output terminal (Lo) of the universal equivalent inductor is grounded through the power supply.

4. The method for designing a universal equivalent inductor according to claim 1, wherein: For an equivalent method of connecting the inductor through a resistor and then to the power supply ground, the input end (Li) of the universal equivalent inductor is connected to the circuit of the actual inductor, and the output end (Lo) of the universal equivalent inductor is connected to the power supply ground after passing through the resistor.

5. The method for designing a universal equivalent inductor according to claim 1, wherein: The equivalent method for floating inductance is to connect the input terminal (Li) of the universal equivalent inductor to one end of the actual inductor and the output terminal (Lo) of the universal equivalent inductor to the other end of the actual inductor.