Analytical calculation method of current negative feedback circuit and application thereof
By using the analysis and calculation method of current negative feedback circuit, the shortcomings of traditional feedback theory in calculating feedback coefficients and depth in basic amplifier circuits are solved. It provides a systematic analysis of current feedback parameters, realizes accurate evaluation and optimization of circuit performance, and fills the technical gap in current feedback calculation.
Patent Information
- Application Number
- CN202510997790.3
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- Filing Date
- 2025-07-19
- Publication Date
- 2025-10-28
AI Technical Summary
Traditional feedback theory lacks a systematic and effective solution for calculating the feedback coefficient and feedback depth in basic amplifier circuits, especially in terms of current feedback, where analytical and calculation methods are scarce. Furthermore, the objectivity of traditional classification methods is questioned, and there are inconsistencies in dimensions and unreasonable labeling of input and output parameters.
This paper proposes an analytical and computational method for current negative feedback circuits. By redefining the essential attributes of current feedback, drawing a feedback block diagram, introducing deviation coefficient elements, and equating it with voltage feedback, the method calculates the off-site coefficient and the internal voltage feedback coefficient. Using a current-subtracting feedback model or a current-adding feedback model, the method analyzes the deviation coefficient, determines the feedback depth and coefficients, and provides a unified analytical and computational framework.
It enables systematic and accurate calculation of the feedback coefficient and feedback depth of current negative feedback circuits, unifies the dimensions, optimizes the labeling of input and output parameters, improves the accuracy and reliability of circuit design, and can evaluate and optimize circuit performance, especially in emitter-biased common-emitter amplifier circuits, source-biased common-source amplifier circuits, and T-type resistor network inverting proportional operational circuits.
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Abstract
Description
Technical Field
[0001] This invention relates to the field of electronics technology, and more specifically, to an analysis and calculation method for a current negative feedback circuit and its application. Background Technology
[0002] Although feedback theory has been developed for nearly a century and has had a profound impact on industries, daily life, and military fields, there are still many shortcomings in the calculation of feedback coefficients and feedback depths of basic amplifier circuits. For example, the analysis and calculation of feedback coefficients and feedback depths of common voltage divider bias common-emitter amplifier circuits, voltage divider bias common-source amplifier circuits, and T-type resistor network inverting proportional operational amplifier circuits have long been rarely reported.
[0003] In traditional theory, feedback is divided into voltage feedback and current feedback. However, the objectivity of this classification is questionable, and analytical calculation methods for current feedback are relatively scarce. Furthermore, while the four traditional feedback modes (voltage series negative feedback, voltage parallel negative feedback, current series negative feedback, and current parallel negative feedback) and their corresponding block diagrams and calculation formulas have existed for over half a century, they prove inadequate in solving feedback problems in the aforementioned common circuits, limiting their value. This is due to factors such as inconsistent dimensions, unreasonable labeling of input and output parameters, and deviations from actual circuit conditions. Therefore, we propose an analytical calculation method for current negative feedback circuits and its application. Summary of the Invention
[0004] This invention aims to provide a method for effectively solving the analysis and calculation of feedback parameters such as feedback coefficient and feedback depth in feedback circuits based on the current feedback principle, filling the gap in the existing technology in this regard, laying a solid foundation for feedback circuit design, and can be directly applied to the relevant calculations of emitter-biased common-emitter amplifier circuits, source-biased common-source amplifier circuits, and T-type resistor network inverting proportional operational circuits.
[0005] To solve the above-mentioned technical problems, the present invention provides the following technical solution: an analysis and calculation method for a current negative feedback circuit, comprising the following steps: S1: Note that current feedback is essentially off-site feedback and draw the feedback block diagram according to off-site feedback; S2: Set the output voltage With feedback lead-out voltage u' o The relation is u' o =ku o , That is, the off-site coefficient; S3: Note the feedback lead-out voltage u' o The relationship with the input voltage is internal voltage feedback, let's assume... This refers to the internal voltage feedback coefficient. S4: Current feedback can be equivalent to voltage feedback; S5: Calculate the off-site coefficient and internal voltage feedback coefficient ,product That is, the equivalent voltage feedback coefficient; S6: Identify the output point and feedback lead point of the current negative feedback circuit, and determine the output voltage. and feedback lead-out voltage ; S7: Calculate the deviation coefficient ,in ; S8: Define the open-loop voltage gain For deviation Voltage amplification factor from input point to output point. The voltage amplification factor from the deviation input point to the feedback output point, and the global current feedback coefficient. This refers to the local intrinsic voltage feedback coefficient; S9: Based on different types of current negative feedback circuits, select either the current decrement feedback model or the current plus feedback model using the determined parameters. S10: Calculation of the relationship between output voltage and input voltage; For the current-feedback model, according to the formula Calculate the relationship between the output voltage and the input voltage; For the current-plus-feedback model, according to the formula Calculate the relationship between the output voltage and the input voltage; S11: By adjusting the deviation coefficient The analysis leads to the conclusion that current feedback is equivalent to voltage feedback; Among them, when When it is pure voltage feedback, when or At the same time, the effects on the voltage amplification factor, feedback coefficient, and phase shift of equivalent voltage feedback and internal voltage feedback are analyzed respectively. S12: The feedback depth, determined based on the circuit topology, is an invariant, and hour Relationship, and The equivalent relationship is used to calculate the feedback parameters such as the feedback coefficient and feedback depth of the current negative feedback circuit. S13: Perform calculations for different types of current negative feedback circuits to achieve analysis of current negative feedback circuits; This invention effectively solves the long-standing problem of the lack of a systematic and effective solution for calculating the feedback coefficient and feedback depth in basic amplifier circuits using traditional feedback theory. This method redefines the essential properties of current feedback, proposes a new current negative feedback block diagram, and introduces a deviation coefficient. The elements provide a systematic and accurate calculation method for the analysis and calculation of the feedback coefficient and feedback depth parameters of the above common circuits, filling a technological gap in this field.
[0006] Preferably, in an emitter-biased common-emitter amplifier circuit, the deviation coefficient The calculation method is as follows In the formula, and This represents the corresponding resistor in the circuit.
[0007] Preferably, in a source-biased common-source amplifier circuit, the input resistance and closed-loop voltage gain are calculated based on specific circuit parameters. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient Deviation coefficient and current feedback coefficient This is to enable the analysis and calculation of the feedback parameters of the circuit.
[0008] Preferably, in the T-type resistor network inverting proportional operational circuit, the deviation coefficient is calculated using the nodal voltage method and the Millman formula. In the formula, , and Given the corresponding conductance, the current feedback coefficient is then calculated. Equivalent voltage feedback coefficient and closed-loop voltage amplification factor This is to enable the analysis and calculation of the feedback parameters of the circuit.
[0009] Preferably, step S13 further includes the following steps: S1301: For an emitter-biased common-emitter amplifier circuit, calculate its closed-loop voltage gain. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient and the original current feedback coefficient ; S1302: For a source-biased common-source amplifier circuit, calculate its input resistance and closed-loop voltage gain. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient Deviation coefficient and current feedback coefficient ; S1303: For a T-type resistor network inverting proportional operational circuit, calculate its current feedback coefficient. Equivalent voltage feedback coefficient and closed-loop voltage amplification factor .
[0010] An application of a current negative feedback circuit is disclosed, which uses the analysis and calculation method of current negative feedback circuits to apply the analysis and calculation method to emitter-biased common-emitter amplifier circuits, source-biased common-source amplifier circuits, or T-type resistor network inverting proportional operational circuits to realize the analysis and calculation of feedback coefficients and feedback depths of these circuits, and then use them for circuit performance evaluation, optimization design, and parameter adjustment.
[0011] Preferably, by calculating the feedback parameters of the emitter-biased common-emitter amplifier circuit, and combining them with specific circuit parameters, including transistor parameters, resistance values, and signal source internal resistance, the upper limit frequency, bandwidth, and bandwidth expansion of the circuit are calculated to evaluate and optimize the circuit's performance.
[0012] Preferably, the performance of the circuit is evaluated and optimized by calculating the feedback parameters of the source-biased common-source amplifier circuit and combining them with specific circuit parameters, including transistor parameters and resistance values.
[0013] Preferably, the performance of the circuit is evaluated and optimized by calculating the feedback parameters of the T-type resistor network inverting proportional operational circuit and combining them with specific circuit parameters, including resistance values.
[0014] Compared with the prior art, the beneficial effects of the present invention are: 1. This invention effectively solves the long-standing problem of the lack of a systematic and effective solution for calculating the feedback coefficient and feedback depth in basic amplifier circuits using traditional feedback theory. This method redefines the essential properties of current feedback, proposes a new current negative feedback block diagram, and introduces a deviation coefficient. The elements provide a systematic and accurate calculation method for the analysis and calculation of the feedback coefficient and feedback depth parameters of the above common circuits, filling the technical gap in this field; 2. This invention equates current feedback with voltage feedback for analysis and calculation, unifying the dimensions and optimizing the labeling of input and output parameters. This overcomes the problems of inconsistent dimensions and unreasonable input / output parameter labeling inherent in the four traditional feedback modes and their calculation formulas. Practical applications on different types of current negative feedback circuits demonstrate that the calculation method of this invention is theoretically more scientific and reasonable, providing a unified analytical and computational framework for different types of current negative feedback circuits. This makes circuit analysis and calculation more coherent and consistent, helping engineers and researchers better understand and master the feedback characteristics of circuits. 3. The analytical calculation method of this invention can further evaluate and optimize the performance indicators of the aforementioned common current negative feedback circuits. For example, in emitter-biased common-emitter amplifier circuits, the upper limit frequency, bandwidth, and bandwidth expansion can be accurately calculated. In source-biased common-source amplifier circuits and T-type resistor network inverting proportional operational circuits, accurate performance evaluation and optimization can also be achieved. This greatly improves the accuracy and reliability of circuit design, makes circuit design and optimization more targeted, provides more comprehensive technical support for circuit performance improvement and innovative design, solves the shortcomings of traditional methods in circuit performance evaluation and optimization, and promotes the technological progress of circuit design and optimization in the field of electronics. Detailed Implementation
[0015] Example 1: The present invention relates to an analysis and calculation method for a current negative feedback circuit, comprising the following steps: S1: Note that current feedback is essentially off-site feedback and draw the feedback block diagram according to off-site feedback; S2: Set the output voltage With feedback lead-out voltage u' o The relation is u' o =ku o , That is, the off-site coefficient; S3: Note the feedback lead-out voltage u' o The relationship with the input voltage is internal voltage feedback, let's assume... This refers to the internal voltage feedback coefficient. S4: Current feedback can be equivalent to voltage feedback; S5: Calculate the off-site coefficient and internal voltage feedback coefficient ,product That is, the equivalent voltage feedback coefficient; S6: Identify the output point and feedback lead point of the current negative feedback circuit, and determine the output voltage. and feedback lead-out voltage ; S7: Calculate the deviation coefficient ,in ; S8: Define the open-loop voltage gain For deviation Voltage amplification factor from input point to output point. The voltage amplification factor from the deviation input point to the feedback output point, and the global current feedback coefficient. This refers to the local intrinsic voltage feedback coefficient; S9: Based on different types of current negative feedback circuits, select either the current decrement feedback model or the current plus feedback model using the determined parameters. S10: Calculation of the relationship between output voltage and input voltage; For the current-feedback model, according to the formula Calculate the relationship between the output voltage and the input voltage; For the current-plus-feedback model, according to the formula Calculate the relationship between the output voltage and the input voltage; S11: By adjusting the deviation coefficient The analysis leads to the conclusion that current feedback is equivalent to voltage feedback; Among them, when When it is pure voltage feedback, when or At the same time, the effects on the voltage amplification factor, feedback coefficient, and phase shift of equivalent voltage feedback and internal voltage feedback are analyzed respectively. S12: The feedback depth, determined based on the circuit topology, is an invariant, and hour Relationship, and The equivalent relationship is used to calculate the feedback parameters such as the feedback coefficient and feedback depth of the current negative feedback circuit. S13: Perform calculations for different types of current negative feedback circuits to achieve analysis of current negative feedback circuits; This invention effectively solves the long-standing problem of the lack of a systematic and effective solution for calculating the feedback coefficient and feedback depth in basic amplifier circuits using traditional feedback theory. This method redefines the essential properties of current feedback, proposes a new current negative feedback block diagram, and introduces a deviation coefficient. The elements provide a systematic and accurate calculation method for the analysis and calculation of the feedback coefficient and feedback depth parameters of the above common circuits, filling a technological gap in this field.
[0016] As an embodiment of the present invention, in an emitter-biased common-emitter amplifier circuit, the deviation coefficient The calculation method is as follows In the formula, and This represents the corresponding resistor in the circuit.
[0017] As an embodiment of the present invention, in a source-biased common-source amplifier circuit, the input resistance and closed-loop voltage amplification factor are calculated based on specific circuit parameters. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient Deviation coefficient and current feedback coefficient This is to enable the analysis and calculation of the feedback parameters of the circuit.
[0018] As an embodiment of the present invention, in a T-type resistor network inverting proportional operational circuit, the deviation coefficient is calculated using the nodal voltage method and the Millman formula. In the formula, , and Given the corresponding conductance, the current feedback coefficient is then calculated. Equivalent voltage feedback coefficient and closed-loop voltage amplification factor This is to enable the analysis and calculation of the feedback parameters of the circuit.
[0019] As an embodiment of the present invention, step S13 further includes the following steps: S1301: For an emitter-biased common-emitter amplifier circuit, calculate its closed-loop voltage gain. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient and the original current feedback coefficient ; S1302: For a source-biased common-source amplifier circuit, calculate its input resistance and closed-loop voltage gain. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient Deviation coefficient and current feedback coefficient ; S1303: For a T-type resistor network inverting proportional operational circuit, calculate its current feedback coefficient. Equivalent voltage feedback coefficient and closed-loop voltage amplification factor .
[0020] This invention equates current feedback with voltage feedback for analysis and calculation, unifying the dimensions and optimizing the labeling of input and output parameters. This overcomes the problems of inconsistent dimensions and unreasonable input / output parameter labeling inherent in the four traditional feedback modes and their calculation formulas. Practical applications to different types of current negative feedback circuits demonstrate that the calculation method of this invention is theoretically more scientific and reasonable, providing a unified analytical and computational framework for different types of current negative feedback circuits. This makes circuit analysis and calculation more coherent and consistent, helping engineers and researchers better understand and master the feedback characteristics of circuits.
[0021] Example 2: An application of a current negative feedback circuit, which uses the analysis and calculation method of current negative feedback circuits to apply the analysis and calculation method to emitter-biased common-emitter amplifier circuits, source-biased common-source amplifier circuits, or T-type resistor network inverting proportional operational circuits, to realize the analysis and calculation of feedback coefficients and feedback depth of these circuits, and then use it for circuit performance evaluation, optimization design and parameter adjustment.
[0022] As another embodiment of the present invention, by calculating the feedback parameters of the emitter-biased common-emitter amplifier circuit, and combining them with specific circuit parameters, including transistor parameters, resistance values and signal source internal resistance, the upper limit frequency, bandwidth and frequency band spread of the circuit are calculated to evaluate and optimize the performance of the circuit.
[0023] As another embodiment of the present invention, the performance of the circuit is evaluated and optimized by calculating the feedback parameters of the source-biased common-source amplifier circuit and combining them with specific circuit parameters, including transistor parameters and resistance values.
[0024] As another embodiment of the present invention, the performance of the circuit is evaluated and optimized by calculating the feedback parameters of the T-type resistor network inverting proportional operational circuit and combining them with specific circuit parameters, including resistance values.
[0025] The analytical calculation method of this invention can further evaluate and optimize the performance indicators of the aforementioned common current negative feedback circuits. For example, it can accurately calculate the upper limit frequency, bandwidth, and bandwidth expansion in emitter-biased common-emitter amplifier circuits, and can also achieve accurate performance evaluation and optimization in source-biased common-source amplifier circuits and T-type resistor network inverting proportional operational circuits. This greatly improves the accuracy and reliability of circuit design, makes circuit design and optimization more targeted, provides more comprehensive technical support for circuit performance improvement and innovative design, solves the shortcomings of traditional methods in circuit performance evaluation and optimization, and promotes the technological progress of circuit design and optimization in the field of electronics.
[0026] The embodiments disclosed in this invention are preferred embodiments, but are not limited thereto. Those skilled in the art can easily understand the spirit of this invention based on the above embodiments and make different extensions and variations, but as long as they do not depart from the spirit of this invention, they are all within the protection scope of this invention.
Claims
1. An analytical calculation method for a current negative feedback circuit, characterized in that, Includes the following steps: S1: Note that current feedback is essentially off-site feedback and draw the feedback block diagram according to off-site feedback; S2: Set the output voltage With feedback lead-out voltage u' o The relation is u' o =ku o , That is, the off-site coefficient; S3: Note the feedback lead-out voltage u' o The relationship with the input voltage is internal voltage feedback, let's assume... This refers to the internal voltage feedback coefficient. S4: Current feedback can be equivalent to voltage feedback; S5: Calculate the off-site coefficient and internal voltage feedback coefficient ,product That is, the equivalent voltage feedback coefficient; S6: Identify the output point and feedback lead point of the current negative feedback circuit, and determine the output voltage. and feedback lead-out voltage ; S7: Calculate the deviation coefficient ,in ; S8: Define the open-loop voltage gain For deviation Voltage amplification factor from input point to output point. The voltage amplification factor from the deviation input point to the feedback output point, and the global current feedback coefficient. This refers to the local intrinsic voltage feedback coefficient; S9: Based on different types of current negative feedback circuits, select either the current decrement feedback model or the current plus feedback model using the determined parameters. S10: Calculation of the relationship between output voltage and input voltage; For the current-feedback model, according to the formula Calculate the relationship between the output voltage and the input voltage; For the current-plus-feedback model, according to the formula Calculate the relationship between the output voltage and the input voltage; S11: By adjusting the deviation coefficient The analysis leads to the conclusion that current feedback is equivalent to voltage feedback; Among them, when When it is pure voltage feedback, when or At the same time, the effects on the voltage amplification factor, feedback coefficient, and phase shift of equivalent voltage feedback and internal voltage feedback are analyzed respectively. S12: The feedback depth, determined based on the circuit topology, is an invariant, and hour Relationship, and The equivalent relationship is used to calculate the feedback parameters such as the feedback coefficient and feedback depth of the current negative feedback circuit. S13: Perform calculations for different types of current negative feedback circuits to achieve analysis of current negative feedback circuits.
2. The analysis and calculation method for a current negative feedback circuit according to claim 1, characterized in that, In an emitter-biased common-emitter amplifier circuit, the deviation coefficient The calculation method is as follows In the formula, and This represents the corresponding resistor in the circuit.
3. The analysis and calculation method for a current negative feedback circuit according to claim 2, characterized in that, In a source-biased common-source amplifier circuit, the input resistance and closed-loop voltage gain are calculated based on specific circuit parameters. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient Deviation coefficient and current feedback coefficient This is to enable the analysis and calculation of the feedback parameters of the circuit.
4. The analysis and calculation method for a current negative feedback circuit according to claim 3, characterized in that, In a T-type resistor network inverting proportional operational circuit, the deviation coefficient is calculated using the nodal voltage method and Millman's formula. In the formula, , and Given the corresponding conductance, the current feedback coefficient is then calculated. Equivalent voltage feedback coefficient and closed-loop voltage amplification factor This is to enable the analysis and calculation of the feedback parameters of the circuit.
5. The analysis and calculation method for a current negative feedback circuit according to claim 4, characterized in that, Step S13 further includes the following steps: S1301: For an emitter-biased common-emitter amplifier circuit, calculate its closed-loop voltage gain. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient and the original current feedback coefficient ; S1302: For a source-biased common-source amplifier circuit, calculate its input resistance and closed-loop voltage gain. Open-loop voltage amplification factor Feedback depth Equivalent voltage feedback coefficient Deviation coefficient and current feedback coefficient ; S1303: For a T-type resistor network inverting proportional operational circuit, calculate its current feedback coefficient. Equivalent voltage feedback coefficient and closed-loop voltage amplification factor .
6. An application of a current negative feedback circuit, which uses the analysis and calculation method for the current negative feedback circuit according to any one of claims 1 to 5, characterized in that, This analytical calculation method is applied to emitter-biased common-emitter amplifier circuits, source-biased common-source amplifier circuits, or T-type resistor network inverting proportional operational circuits to analyze and calculate the feedback coefficients and feedback depth of these circuits, which can then be used for circuit performance evaluation, optimization design, and parameter adjustment.
7. The application of a current negative feedback circuit according to claim 6, characterized in that, By calculating the feedback parameters of the emitter-biased common-emitter amplifier circuit, and combining them with specific circuit parameters, including transistor parameters, resistance values, and signal source internal resistance, the upper limit frequency, bandwidth, and bandwidth extension of the circuit are calculated to evaluate and optimize the circuit's performance.
8. The application of a current negative feedback circuit according to claim 7, characterized in that, By calculating the feedback parameters of the source-biased common-source amplifier circuit and combining them with specific circuit parameters, including transistor parameters and resistance values, the performance of the circuit is evaluated and optimized.
9. The application of a current negative feedback circuit according to claim 8, characterized in that, By calculating the feedback parameters of the T-type resistor network inverting proportional operational circuit and combining them with specific circuit parameters, including resistance values, the performance of the circuit is evaluated and optimized.