阅读说明：本技术 一种接地转浮地的通用转换电路 (General conversion circuit for converting grounding into floating grounding ) 是由 余波 于 2020-06-12 设计创作，主要内容包括：本发明公开了一种接地转浮地的通用转换电路,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、反向比例电压电流转化电路和要求一端接地的待转换电路Z。目的在于解决现有需要一端接地的等效电路无法实现浮地的功能。在本发明中,转换电路a、b端口的电气特性等效了要求一端接地的待转换电路Z的电气特性,使用时不要求端口a、b接地,可作为浮地等效电路使用。能广泛地将已有的要求一端接地的等效电路转换为浮地电路,具有很好的通用性和实用性。(The invention discloses a general conversion circuit for converting grounding to floating, which comprises a differential amplification circuit, an in-phase proportion voltage and current conversion circuit, a reverse proportion voltage and current conversion circuit and a circuit Z to be converted, wherein one end of the circuit Z is required to be grounded. The equivalent circuit aims to solve the problem that the existing equivalent circuit with one grounded end cannot realize the function of floating the ground. In the invention, the electrical characteristics of the ports a and b of the conversion circuit are equivalent to the electrical characteristics of the circuit Z to be converted, which requires one end to be grounded, and the ports a and b are not required to be grounded when in use, so that the conversion circuit can be used as a floating equivalent circuit. The equivalent circuit can be widely converted into a floating circuit, and has good universality and practicability.)

1. A general conversion circuit for converting grounding to floating is characterized by comprising a differential amplification circuit, an in-phase proportion voltage and current conversion circuit, a reverse proportion voltage and current conversion circuit and a circuit Z to be converted, wherein one end of the circuit Z is required to be grounded; 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 electricityStream transmission device 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 circuit Z to be converted requiring one end to be grounded, the current conveyor U₂Y pin and current transmitter U₁W pin connection of, the current conveyor U₂The x pin of the converter is connected with a non-grounding end of a circuit Z to be converted, one end of the circuit Z to be converted is required to be grounded, the other end of the circuit Z to be converted is grounded, and 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 reverse proportion voltage current conversion circuit comprises a current transmitter U₃And a resistance R₄Said current transmitter U₃The y pin of the current transmitter U is grounded₃X pin and resistor R₄Is connected to one end of the resistor R₄Another end of (1) and a current transmitter U₂W pin connection of, the current conveyor U₃The z pin of (a) is connected with the input port a; the homodromous proportion voltage and current conversion circuit comprises a current transmitter U₅And a resistance R₅Said current transmitter U₂W pin and current transmitter U₅The y pin of (1) is connected, the resistor R₅Is grounded, the resistor R₅Another end of (1) and a current transmitter U₅X pin of, the current conveyor U₅The 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.

2. The universal conversion circuit from ground to floating according to claim 1, wherein said current conveyor U₁、U₂、U₃、U₄And U₅Model number of AD 844.

3. The universal conversion circuit from ground to floating according to claim 1, wherein the resistor R₁＝R₂。

4. The universal conversion circuit from ground to floating according to claim 1, wherein the resistor R₃＝R₄＝R₅。

Technical Field

The invention relates to the field of equivalent circuit design, in particular to a universal conversion circuit for converting a grounding equivalent circuit into a floating equivalent circuit.

Background

At present, circuit elements without physical entities, such as negative resistance value resistance, memristance, memcapacitor, and meminductance, are required to be used in circuit design. In general, an equivalent circuit of a negative resistance circuit, a memristor, and a memory inductor is designed by using existing circuit elements (such as a resistor, a capacitor, and an inductor) and combining with devices such as an operational amplifier. Sometimes, the designed equivalent circuit requires that one end is grounded, such as a negative resistance value resistance equivalent circuit, a secondary nonlinear memristor equivalent circuit, a third-order fractional linear memristor equivalent circuit and the like.

The application range of the equivalent circuit requiring one end to be grounded is limited, so that various equivalent circuits with one end not required to be grounded are designed, and different floating ground design schemes are provided for different circuits. At present, no universal circuit capable of directly converting an existing grounding equivalent circuit into a floating equivalent circuit exists. The universal conversion circuit capable of being grounded and floating can be directly applied to the transformation of the existing grounding equivalent circuit, and has the characteristics of high efficiency, strong universality and the like.

Disclosure of Invention

The invention aims to provide a general conversion circuit for converting grounding to floating, which solves the problem that the existing equivalent circuit needing grounding at one end cannot realize the function of floating.

The technical scheme for solving the technical problems is as follows: a general conversion circuit for converting grounding to floating comprises a differential amplification circuit, an in-phase proportion voltage and current conversion circuit, a reverse proportion voltage and current conversion circuit and a circuit Z to be converted, wherein one end of the circuit Z is required to be grounded; 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 circuit Z to be converted requiring one end to be grounded, the current conveyor U₂Y pin and current transmitter U₁W pin connection of, the current conveyor U₂The x pin of the converter is connected with a non-grounding end of a circuit Z to be converted, one end of the circuit Z to be converted is required to be grounded, the other end of the circuit Z to be converted is grounded, and 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 reverse proportion voltage current conversion circuit comprises a current transmitter U₃And a resistance R₄Said current transmitter U₃The y pin of the current transmitter U is grounded₃X pin and resistor R₄Is connected to one end of the resistor R₄Another end of (1) and a current transmitter U₂W pin connection of, the current conveyor U₃The z pin of (a) is connected with the input port a; the same direction ratioThe voltage-current conversion circuit comprises a current transmitter U₅And a resistance R₅Said current transmitter U₂W pin and current transmitter U₅The y pin of (1) is connected, the resistor R₅Is grounded, the resistor R₅Another end of (1) and a current transmitter U₅X pin of, the current conveyor U₅The 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 conversion circuit are equivalent to the electrical characteristics of the circuit Z to be converted, which requires one end to be grounded, and the ports a and b are not required to be grounded when in use, so that the conversion circuit can be used as a floating equivalent circuit. The equivalent circuit can be widely converted into a floating circuit, and has good universality.

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, a general conversion circuit for converting a ground into a floating ground includes a differential amplification circuit, an in-phase proportional voltage-current conversion circuit, a reverse proportional voltage-current conversion circuit, and a to-be-converted circuit Z requiring one end to be grounded; 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 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 circuit Z to be converted requiring one end to be grounded, a current transmitter U₂Y pin and current transmitter U₁W pin connection of, current conveyor U₂The x pin of the converter is connected with the non-grounding end of the circuit Z to be converted, one end of which is required to be grounded, the other end of the circuit Z to be converted is grounded, and the current transmitter U₂Z pin and resistor R₃Is connected to a resistor R₃The other end of the first and second electrodes is grounded; the reverse proportional voltage-current conversion circuit comprises a current transmitter U₃And a resistance R₄Current transmitter U₃The y pin of the current transmitter U is grounded₃X pin and resistor R₄Is connected to a resistor R₄Another end of (1) and a current transmitter U₂W pin connection of, current transmissionDevice U₃The z pin of (a) is connected with the input port a; the equidirectional proportional voltage-current conversion circuit comprises a current transmitter U₅And a resistance R₅Current transmitter U₂W pin and current transmitter U₅Y pin of (3) connection, resistor R₅One end of (A) is grounded, and a resistor R₅Another end of (1) and a current transmitter U₅X pin connection of, current conveyor U₅The z pin of (a) is connected with the input port b; the port characteristics of the current conveyor are: 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:

the port characteristics of the current conveyor are: 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.

The impedance of the (equivalent) circuit to be converted Z, which requires one end to be grounded, is represented by Z(s), which is a laplace variable.

If u_a(s) represents the voltage at port a, u_b(s) represents the voltage of the port b, and the input voltage of the universal conversion circuit is changed from the ground to the floating ground

u_in(s)＝u_a(s)-u_b(s)。 (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(s)＝i_in1(s)+i_in2(s)＝i_in1(s)， (5)

Output current

i_o(s)＝i_o1(s)+i_o2(s)＝i_o2(s)， (6)

The reverse proportional voltage-current conversion circuit comprises a current transmitter U₃And a resistance R₄Electric current of

The equidirectional 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 impedance between the ports a and b is equal

The impedance is equal to the impedance of the (equivalent) circuit Z to be converted, and the conversion from the grounding equivalent circuit to the floating equivalent circuit is completed.

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.