A method for connecting multiple negative resistors in series and in parallel

Abstract

The present invention discloses a method for constructing a series and parallel circuit involving multiple negative resistance units of different forms. Under the premise that each operational amplifier works in a linear voltage working area and the output current of the operational amplifier does not exceed the maximum output current of the operational amplifier used, according to the method of the present invention, multiple negative resistors of different forms can exhibit the same series or parallel characteristics as positive resistors when connected in series or in parallel, that is, the total resistance of the negative resistors in series is the simple addition of the resistance values ​​of the individual negative resistors, and the reciprocal of the total resistance of the negative resistors in parallel is equal to the sum of the reciprocals of the resistance values ​​of the negative resistors of each branch. This method can make the types of negative resistors in series or in parallel no longer limited to the same type when the negative resistors are connected in series or in parallel, and the number of series and parallel connections can be multiple. This method focuses on describing the grounding terminal positions of multiple negative resistors in series and parallel connection and the connection order of the negative resistors. This method has certain reference value in circuit design and engineering practice and can be used for circuit design.

Description

Technical Field

[0001] The invention relates to the field of circuit design, in particular to two negative resistance series-parallel connection methods based on operational amplifiers, and can be used in the field of circuit design. Background Art

[0002] Classical circuit theory introduces two methods of constructing negative resistance. Both methods are based on operational amplifiers. The difference between the two methods is that the polarity of the connected operational amplifier is different, but both methods can equivalently regard the resistance value as "negative". This type of electronic component offsets part of the ordinary resistance and is also widely used in the field of circuit design.

[0003] At present, some scholars have studied the series and parallel connection of negative resistors of the same construction method, but the series and parallel connection of negative resistors of different forms is still unclear. In order to make negative resistors constructed by different construction methods be connected in series and parallel, and to make multiple negative resistors of different forms show the characteristics of ordinary resistors in series or parallel when connected in series or parallel, this type of method needs to be further explored. Summary of the invention

[0004] The present invention provides a method for solving the problem of series and parallel connection of multiple negative resistors. The method provided by the present invention can enable multiple negative resistors of different forms to present the same series and parallel characteristics as ordinary resistors when connected in series or in parallel.

[0005] To achieve the above object, the present invention adopts the following technical solutions:

[0006] Figure 1 (a) and Figure 1 (b) Two construction forms of negative resistance introduced in classical circuit theory. Figure 1 (a) We clearly mark the key access points of the circuit: "1" and "2". Specifically, "1" is connected to one end of resistor R1, the other end of which is connected to the positive input of operational amplifier A1, while "2" is connected to one end of resistor R2, the other end of which is connected to the negative input of operational amplifier A1 and one end of resistor R3. The other end of resistor R3 is connected to the side of resistor R1 that is not connected to "1" and the output of operational amplifier A1. Figure 1 (b) We clearly mark the key access points of the circuit: "1" and "2". Specifically, the "1" terminal is connected to one end of resistor R4, the other end of which is connected to the negative input of operational amplifier A2, while the "2" terminal is connected to one end of resistor R5, the other end of which is connected to the positive input of operational amplifier A2 and one end of resistor R6. The other end of resistor R6 is connected to the side of resistor R4 that is not connected to the "1" terminal and the output of operational amplifier A2. Figure 2Describes a package that represents Figure 1 (a) or Figure 1 (b) is a negative resistance structure variation, namely Figure 1 (a) and Figure 1 (b) shows the negative resistance unit. The “?” symbol in the package represents any type of negative resistance, which can be Figure 1 (a) or Figure 1 Any structure in (b).

[0007] (2) Based on Figure 2 When the negative resistance variant units represented are connected in series or in parallel, the principle of connecting the ports with the same number should be followed, that is, "1" is connected with "1" and "2" is connected with "2".

[0008] (3) In the series connection of multiple negative resistance units of different forms, only one point is grounded. The number of negative resistances in series is different according to whether it is an odd number or an even number, and the position of the grounding terminal is also different.

[0009] (4) When an odd number of negative resistance units of different forms are connected in series, the ground terminal can only be at the positive terminal or the negative terminal of the external power port, such as Figure 3 As shown, the locations marked by the grey boxes indicate the only possible ground connection points.

[0010] (5) When an even number of negative resistance units of different forms are connected in series, the ground terminal can be at the positive terminal or negative terminal of the external power supply port, or between "1" and "1" of the negative resistance, or between "2" and "2" of the negative resistance, such as Figure 4 As shown, the locations marked by the grey boxes indicate the only possible ground connection points.

[0011] (6) After multiple negative resistance units of different forms are connected in series, the positive polarity end of the external power supply must be connected to the "1" terminal.

[0012] (7) When multiple negative resistance units of different forms are connected in parallel, the "1" terminal is connected to the positive polarity terminal of the external power supply, and the "2" terminal is connected to the negative polarity terminal of the external power supply and grounded.

[0013] (8) The present invention specifically refers to the process of connecting different forms of negative resistors in series or in parallel, and does not distinguish between the construction form of the negative resistors, nor does it distinguish between the positions or arrangements of the different forms of negative resistors in series or in parallel. These factors do not affect the series or parallel effects, but both types of negative resistors should actually exist when connected in series or in parallel. BRIEF DESCRIPTION OF THE DRAWINGS

[0014] Figure 1 Schematic diagram of two circuit forms of negative resistance based on operational amplifier;

[0015] Figure 2The schematic diagram of an equivalent replacement module based on the negative resistance of an operational amplifier without the ground terminal;

[0016] Figure 3 It is a schematic diagram of the series connection of an odd number of negative resistance equivalent replacement modules;

[0017] Figure 4 It is a schematic diagram of series connection of an even number of negative resistance equivalent replacement modules;

[0018] Figure 5 This is a parallel schematic diagram of the negative resistance equivalent replacement module. DETAILED DESCRIPTION

[0019] The principles and features of the present invention are described below in conjunction with the accompanying drawings. The examples given are only used to explain the present invention and are not used to limit the scope of the invention.

[0020] The following describes the implementation of the present invention through specific examples and in conjunction with the accompanying drawings. Those skilled in the art can easily understand other advantages and effects of the present invention from the contents disclosed in this specification. The present invention can also be implemented or applied through other different specific examples, and the details in this specification can also be modified and changed in various ways based on different viewpoints and applications without departing from the spirit of the present invention.

[0021] Figure 1 Classical circuit theory proposes two methods for constructing negative resistance based on operational amplifiers. The difference between the two methods lies in the different polarities of the operational amplifier connections.

[0022] exist Figure 1 In (a), we clearly marked the key access points of the circuit: "1" and "2". Specifically, the "1" terminal is connected to one end of resistor R1, the other end of which is connected to the positive input of operational amplifier A1, while the "2" terminal is connected to one end of resistor R2, the other end of which is connected to the negative input of operational amplifier A1 and one end of resistor R3. The other end of resistor R3 is connected to the side of resistor R1 that is not connected to the "1" terminal and the output of operational amplifier A1. Figure 1 In (b), we clearly mark the key access points of the circuit: "1" and "2". Specifically, the "1" terminal is connected to one end of resistor R4, the other end of which is connected to the negative input of operational amplifier A2, while the "2" terminal is connected to one end of resistor R5, the other side of which is connected to the positive input of operational amplifier A2 and one end of resistor R6. The other end of resistor R6 is connected to the side of resistor R4 that is not connected to the "1" terminal and the output of operational amplifier A2. Figure 2A package is depicted, which represents the circuit structure of Figure (a) or Figure (b), that is, the circuit unit shown in Figure (a) and Figure (b). The "?" symbol in the package represents any type of negative resistor, which can be any structure in Figure (a) or Figure (b).

[0023] Figure 3 The position requirements of the ground terminal when an odd number of negative resistors of different forms are connected in series. The position marked by the gray box indicates the only possible ground connection point, that is, the ground terminal can only be at the positive or negative end of the external power supply. The positive polarity terminal of the external power supply is connected to the "1" terminal, after which "1" is connected to "1", "2" is connected to "2", and the last series negative resistor "2" is connected back to the negative polarity terminal of the external power supply.

[0024] Figure 4 The position of the ground terminal when an even number of negative resistors of different forms are connected in series. The position marked by the gray box indicates the possible only ground connection point, that is, the ground terminal can be at the positive or negative end of the external power port, or between "1" and "1" of the negative resistor, or between "2" and "2" of the negative resistor. The positive polarity end of the external power supply is connected to the "1" end, and then the "1" end is connected to the "1" end, the "2" end is connected to the "2" end, and the last series negative resistor "1" end is connected to the negative polarity end of the external power supply.

[0025] Figure 5 This is a schematic diagram of parallel connection of any number of negative resistors of different forms. After all the "1" ends are connected, they are connected to the positive polarity end of the external power supply; after all the "2" ends are connected, they are connected to the negative polarity end of the external power supply and are grounded.

Claims

1. A method of connecting multiple negative resistors in series and in parallel, wherein the negative resistor unit comprises: An operational amplifier having a positive input terminal, a negative input terminal and an output terminal; a first resistor, one end of which is connected to the positive or negative input terminal of the operational amplifier and interface "1"; a second resistor, one end of which is connected to the other input terminal of the operational amplifier and one end of a third resistor through interface "2"; the other end of the third resistor and the side of the first resistor not connected to the input terminal of the operational amplifier are connected to the output terminal of the operational amplifier together, Based on the negative resistance unit, the series and parallel connection method further includes: When implementing an odd number of such negative resistance units in series, the ground connection must be connected to the positive or negative pole of the external power supply. If an even number of units are connected in series, the ground connection is connected to the positive or negative pole of the power supply, or one of the "1-1" interface or "2-2" interface between any adjacent units. Regardless of the odd or even number, the rule that the "1" end of all series units is connected to the "1" end and the "2" end is connected to the "2" end must be strictly followed. When more than one negative resistor of different forms is connected in parallel, it is required that the "1" ends of all units are collectively connected to the positive pole of the external power supply, and the "2" ends of all negative resistance units are gathered and connected to the negative pole of the external power supply and grounded.

Images