阅读说明：本技术 浮地负阻值电阻等效电路 (Equivalent circuit of floating negative resistance value resistor ) 是由 余波 于 2020-06-12 设计创作，主要内容包括：本发明公开了浮地负阻值电阻等效电路,包括差分放大电路、同相比例放大电路、同相比例电压电流转化电路和反向比例电压电流转化电路。目的在于解决现有负阻值电阻等效电路需要一端接地的问题。本发明电路的端口a、b的电气特性等效了负阻值电阻特性,使用时不要求端口a、b接地,可广泛地应用到各种需要负阻值电阻的电路设计场合。(The invention discloses a floating negative resistance value resistance equivalent circuit which comprises a differential amplifying circuit, an in-phase proportional voltage and current converting circuit and a reverse proportional voltage and current converting circuit. The purpose is to solve the problem that the existing negative resistance value resistance equivalent circuit needs one end to be grounded. The electrical characteristics of the ports a and b of the circuit are equivalent to the resistance characteristics of the negative resistance value, the ports a and b are not required to be grounded when the circuit is used, and the circuit can be widely applied to various circuit design occasions needing the resistance of the negative resistance value.)

1. The equivalent circuit of the floating negative resistance resistor is characterized by comprising a differential amplifying circuit, an in-phase proportional voltage-current converting circuit, a reverse proportional voltage-current converting circuit and a resistor R_x(ii) a The differential amplifying circuit comprises a current transmitter U₁Current transmitter U₄Resistance R₁And a resistance R₂Input port a and current transmitter U₁Is connected with the y pin, the input port b is connected with the current transmitter U₄Y pin of, the current conveyor U₁X pin and resistor R₁Is connected to one end of the resistor R₁Another end of (1) and a current transmitter U₄X pin of, the current conveyor U₁Z pin and resistor R₂Is connected to one end of the resistor R₂The other end of the first and second electrodes is grounded; the in-phase proportion amplifying circuit comprises a current transmitter U₂Resistance R₃And a resistance R_xSaid current transmitter U₂Y pin and current transmitter U₁W pin connection of, the current conveyor U₂X pin and resistor R_xIs connected to one end of the resistor R_xIs grounded, the current transmitter U₂Z pin and resistor R₃Is connected to one end of the resistor R₃The other end of the first and second electrodes is grounded; the in-phase proportion voltage and current conversion circuit comprises a current transmitter U₃And a resistance R₄Said current transmitter U₃Y pin and current transmitter U₂W pin connection of, the current conveyor U₃X pin and resistor R₄Is connected to one end of the resistor R₄Is grounded, the current transmitter U₃The z pin of (a) is connected with the input port a; the reverse proportional voltage-current conversion circuit comprises a current transmitter U₅And a resistance R₅Said current transmitter U₂W pin and resistor R₅Is connected to one end of the resistor R₅Another end of (1) and a current transmitter U₅X pin of, the current conveyor U₅The y pin of the current transmitter U is grounded₅Z pin and input portb, connection; the port characteristics of the current conveyor are as follows: u. of_x＝u_y，i_z＝i_x，i_y＝0，u_w＝u_z，u_x、u_y、u_zAnd u_wRepresenting the voltage, i, of the x, y, z and w pins of the current conveyor, respectively_x、i_yAnd i_zRespectively representing the current values of the x pin, the y pin and the z pin of the current conveyor.

2. The equivalent circuit of claim 1, wherein the current conveyor U is a resistor with negative floating resistance₁、U₂、U₃、U₄And U₅Model number of AD 844.

3. The equivalent circuit of claim 1, wherein the resistor R is a resistor R₁＝R₂。

4. The equivalent circuit of claim 1, wherein the resistor R is a resistor R₃＝R₄＝R₅。

Technical Field

The invention relates to the field of equivalent circuit design, in particular to a floating negative resistance value resistance equivalent circuit.

Background

The negative resistance value resistor is a resistor with a negative resistance value, and is an active element, and the voltage-current characteristic curve of the negative resistance value resistor is in two quadrants and four quadrants. There is no negative resistance value resistor unit element commercially available in engineering like a positive resistance. At present, the electrical characteristics of the negative resistance value resistor are realized through the negative resistance value resistor equivalent circuit, and the negative resistance value resistor equivalent circuit is applied to circuit design as the negative resistance value resistor. However, the existing negative resistance value resistor equivalent circuit is composed of an operational amplifier, a resistor and the like, and one end of the equivalent circuit is required to be grounded, so that the application range of the equivalent circuit is limited.

Disclosure of Invention

The invention aims to provide a floating negative resistance value resistance equivalent circuit, which solves the problem that one end of the existing negative resistance value resistance equivalent circuit needs to be grounded.

The technical scheme for solving the technical problems is as follows: the equivalent circuit comprises a differential amplifier circuit, an in-phase proportional voltage-current converter circuit, a reverse proportional voltage-current converter circuit and a resistor R_x(ii) a The differential amplifying circuit comprises a current transmitter U₁Current transmitter U₄Resistance R₁And a resistance R₂Input port a and current transmitter U₁Is connected with the y pin, the input port b is connected with the current transmitter U₄Y pin of, the current conveyor U₁X pin and resistor R₁Is connected to one end of the resistor R₁Another end of (1) and a current transmitter U₄X pin of, the current conveyor U₁Z pin and resistor R₂Is connected to one end of the resistor R₂The other end of the first and second electrodes is grounded; the in-phase proportion amplifying circuit comprises a current transmitter U₂Resistance R₃And a resistance R_xSaid current transmitter U₂Y pin and current transmitter U₁W pin connection of, the current conveyor U₂X pin and resistor R_xIs connected to one end of the resistor R_xIs grounded, the current transmitter U₂Z pin and resistor R₃Is connected to one end of the resistor R₃The other end of the first and second electrodes is grounded; the in-phase proportion voltage and current conversion circuit comprises a current transmitter U₃And a resistance R₄Said current transmitter U₃Y pin and current transmitter U₂W pin connection of, the current conveyor U₃X pin and resistor R₄Is connected to one end of the resistor R₄Is grounded, the current transmitter U₃The z pin of (a) is connected with the input port a; the reverse proportional voltage-current conversion circuit comprises a current transmitter U₅And a resistance R₅Said current transmitter U₂W pin and resistor R₅Is connected to one end of the resistor R₅Another end of (1) and a current transmitter U₅X pin of, the current conveyor U₅The y pin of the current transmitter U is grounded₅The z pin of (a) is connected with the input port b; the port characteristics of the current conveyor are as follows: u. of_x＝u_y，i_z＝i_x，i_y＝0，u_w＝u_z，u_x、u_y、u_zAnd u_wRepresenting the voltage, i, of the x, y, z and w pins of the current conveyor, respectively_x、i_yAnd i_zRespectively representing the current values of the x pin, the y pin and the z pin of the current conveyor.

On the basis of the technical scheme, the invention can be further improved as follows.

Further, the current transmitter U₁、U₂、U₃、U₄And U₅Model number of AD 844; the beneficial effects of the step are as follows: the AD844 is a common current feedback operational amplifier, can directly realize the operational function of the current transmitter when working in a feedback-free state, and has the advantages of high broadband, quick response and easy purchase.

Further, the resistor R₁＝R₂(ii) a The beneficial effects of the step are as follows: r₁＝R₂In the invention, the amplification factor of the differential amplification circuit is 1, which is convenient for calculation.

Further, R is₃＝R₄＝R₅(ii) a The beneficial effects of the step are as follows: r₃＝R₄＝R₅In the circuit, the proportionality coefficients of the in-phase proportional voltage and current conversion circuit and the anti-phase proportional conversion circuit are both 1, so that the calculation is convenient.

The invention has the beneficial effects that: in the invention, the electrical characteristics of the ports a and b of the equivalent circuit of the floating negative resistance value are equivalent to the resistance characteristics of the negative resistance value, and the ports a and b are not required to be grounded when in use, so that the equivalent circuit can be widely applied to various circuit design occasions requiring the negative resistance value resistance.

Drawings

FIG. 1 is a schematic diagram of the present invention

Detailed Description

The principles and features of this invention are described below in conjunction with the following drawings, which are set forth by way of illustration only and are not intended to limit the scope of the invention.

As shown in FIG. 1, the equivalent circuit of the floating negative resistance resistor comprises a differential amplifying circuit, an in-phase proportional voltage-current converting circuit, a reverse proportional voltage-current converting circuit and a resistor R_x(ii) a The differential amplifying circuit comprises a current transmitterU₁Current transmitter U₄Resistance R₁And a resistance R₂Input port a and current transmitter U₁Is connected with the y pin, the input port b is connected with the current transmitter U₄Y pin of the current transmitter U₁X pin and resistor R₁Is connected to a resistor R₁Another end of (1) and a current transmitter U₄X pin connection of, current conveyor U₁Z pin and resistor R₂Is connected to a resistor R₂The other end of the first and second electrodes is grounded; the in-phase proportional amplifying circuit comprises a current transmitter U₂Resistance R₃And a resistance R_xCurrent transmitter U₂Y pin and current transmitter U₁W pin connection of, current conveyor U₂X pin and resistor R_xIs connected to a resistor R_xThe other end of the current transmitter U is grounded₂Z pin and resistor R₃Is connected to a resistor R₃The other end of the first and second electrodes is grounded; the in-phase proportion voltage-current conversion circuit comprises a current transmitter U₃And a resistance R₄Current transmitter U₃Y pin and current transmitter U₂W pin connection of, current conveyor U₃X pin and resistor R₄Is connected to a resistor R₄The other end of the current transmitter U is grounded₃The z pin of (a) is connected with the input port a; the reverse proportional voltage-current conversion circuit comprises a current transmitter U₅And a resistance R₅Current transmitter U₂W pin and resistor R₅Is connected to a resistor R₅Another end of (1) and a current transmitter U₅X pin connection of, current conveyor U₅The y pin of the current transmitter U is grounded₅The z pin of (a) is connected with the input port b; the port characteristics of the current conveyor are as follows: u. of_x＝u_y，i_z＝i_x，i_y＝0，u_w＝u_z，u_x、u_y、u_zAnd u_wRepresenting the voltage, i, of the x, y, z and w pins of the current conveyor, respectively_x、i_yAnd i_zRespectively representing the current values of the x pin, the y pin and the z pin of the current conveyor.

In the embodiment of the invention, the current conveyor U₁、U₂、U₃、U₄And U₅Model number of AD 844.

In the embodiment of the invention, the resistor R₁＝R₂。

In the embodiment of the invention, the resistor R₃＝R₄＝R₅。

The working principle of the invention is as follows:

if u_aVoltage, u, representing port a_bRepresenting the voltage of the port b, the input voltage of the equivalent circuit of the floating-ground negative resistance value resistor

u_in＝u_a-u_b。 (1)

The differential amplifying circuit comprises a current transmitter U₁Current transmitter U₄Resistance R₁And a resistance R₂Obtaining the output voltage of the differential amplifier circuit according to the port characteristics of the current transmitter

For current conveyor U₂Output voltage of

The formula (2) is brought into the formula (3)

From the port characteristics of the current conveyor, it is known that: i.e. i_yWhen the input current is equal to 0, the input current is

i_in＝i_in1+i_in2＝i_in1， (5)

Output current

i_o＝i_o1+i_o2＝i_o2， (6)

Syntropy proportional voltage current conversionThe circuit comprises a current transmitter U₃And a resistance R₄Electric current of

The reverse proportional voltage-current conversion circuit comprises a current transmitter U₅And a resistance R₅Electric current of

The current can be obtained by bringing formula (4) into formula (7)

The current can be obtained by bringing formula (4) into formula (8)

Because R is₁＝R₂，R₃＝R₄＝R₅Then, it is understood from the formulas (9) and (10)

As can be seen from equation (11), the input and output currents of the ports a and b are equal, and the resistance value between the ports a and b is equal

And R_xAnd the polarities are opposite, so that the equivalent of the negative resistance value resistance is realized.

The above description is only for the purpose of illustrating the preferred embodiments of the present invention and is not to be construed as limiting the invention, and any modifications, equivalents, improvements and the like that fall within the spirit and principle of the present invention are intended to be included therein.