Transient analysis method for bridge rectifier circuit based on response characteristics

Abstract

The invention discloses a transient analysis method for a bridge rectifier circuit based on response characteristics, which comprises the following steps of: dividing four switching devices of the bridge rectifier circuit into two groups according to on and off conditions, respectively establishing switching device input and output impulse response models for on and off states, and converting the established impulse response models into algebraic models; constructing a cost function, and identifying unknown parameters in the algebraic model in combination with a gradient learning algorithm and a particle swarm optimization search algorithm; constructing a bridge rectifier circuit switching model based on the impulse response model and the algebraic model thereof; determining a reverse voltage peak value of the bridge rectifier circuit in combination with a circuit load; a rectangular window function is introduced to carry out time slice division on sine input voltage, windowing processing is carried out on an output current signal of a bridge rectifier circuit according to impulse response model characteristics, effective separation of a steady state and a transient state is realized, and a relation between a switching frequency and a transient process is analyzed so as to evaluate and optimize transient response performance of the rectifier circuit.

Description

Technical Field

[0001] The invention relates to a transient analysis method of a bridge rectifier circuit based on response characteristics. Background Art

[0002] DC regulated power supplies have a wide range of applications in CPUs, integrated circuits, and electrical appliances. They typically convert AC power into stable DC power for use in electrical equipment through rectification and filtering. A common rectifier circuit is the bridge rectifier. A bridge rectifier circuit consists of four switching devices connected in a "bridge" configuration. The switches switch on and off according to the input voltage. At any given time, only two switches are on, while the other two are off. The switching devices are constantly switching, converting AC power into unidirectional, pulsating DC power, which is then filtered and converted back to stable DC power. Switching devices are constantly switching, and no switching device is ideal. Switching transients occur during the switching process, causing heating and breakdown, leading to malfunction of the switching power supply. In engineering projects, a safety margin is often reserved to increase the withstand voltage of the switching devices. On the one hand, this higher withstand voltage places greater demands on the devices, and consequently, increases their cost. On the other hand, the appropriate increase is often determined based on experience, which may not be reliable. Switching device overheating and breakdown remains a major cause of failure in switching power supplies.

[0003] From the perspective of system input and output, no switching device is an ideal device. When the input of a switching device switches, its output will inevitably have a transient state. This transient state often has a high peak value, causing the switching device to heat up; at the same time, it also causes the switching device in the cut-off state to withstand a high reverse voltage, which can easily cause reverse switch breakdown.

[0004] It can be seen that the switching transients caused by device response characteristics and switching switching are the main causes of switching device damage. These switching transients are not only related to the device response characteristics and switching voltage, but are also closely linked to the switching frequency. Therefore, based on the response characteristics, studying the transient response process of switching devices is of great significance for the safe and reliable use of bridge rectifier circuits. Summary of the Invention

[0005] To address the aforementioned issues in the prior art, the present invention provides a transient analysis method for bridge rectifier circuits based on response characteristics. To address the heating and breakdown of switching devices caused by transient switching in bridge rectifier circuits, the present invention establishes transient equations for bridge rectifier circuits based on the response characteristics of the switching devices and proposes a transient analysis method for rectifier circuits to ensure safe and reliable operation of the bridge rectifier circuits.

[0006] The technical solutions adopted in the present invention are:

[0007] A transient analysis method for a bridge rectifier circuit based on response characteristics includes the following steps:

[0008] 1) The four switching devices in the bridge rectifier circuit are divided into two groups according to their on and off states. Input and output impulse response models of the switching devices are established for the on and off states respectively, and the established impulse response models are converted into algebraic models. A cost function is constructed, and the unknown parameters in the algebraic model are identified by combining the gradient learning algorithm and the particle swarm optimization search algorithm.

[0009] 2) Based on the impulse response model and its algebraic model established in step 1), a bridge rectifier circuit switching model is constructed to describe the dynamic behavior of the circuit under different switching states; the loop current transient current is calculated according to the switching model, and the reverse voltage peak of the bridge rectifier circuit is determined in combination with the circuit load;

[0010] 3) A rectangular window function is introduced to divide the sinusoidal input voltage into time slices. The output current signal of the bridge rectifier circuit is windowed according to the characteristics of the impulse response model to achieve effective separation of steady state and transient state. The relationship between switching frequency and transient process is analyzed to evaluate and optimize the transient response performance of the rectifier circuit.

[0011] Furthermore, step 1) specifically includes:

[0012] (11) Establish an impulse response model for the on-state:

[0013] I k (t) = h tk (t)*V k (t), (k=1,2)

[0014] Where: k = 1, 2 represents the kth group of switching devices, V k (t) represents the forward voltage of the kth group, I k (t) represents the output current, h tk (t) represents the impulse response when the kth group of switching devices is turned on;

[0015]

[0016] M is the modeling order; t is the time variable; a i is an exponential parameter used to characterize the shape characteristics of the impulse response model; c tk is the intensity coefficient of the impulse response in the on-state, representing the amplitude of the impulse response of the kth group of switching devices when they are on; a tk is the time characteristic index of the impulse response in the on-state, which is used to describe the law of the impulse response changing with time when the k-th group of switching devices is turned on;

[0017] (12) Using Legendre transform, the impulse response model of the on-state is converted into an algebraic model;

[0018] (13) Construct a cost function and combine the gradient learning algorithm and particle swarm optimization search algorithm to identify the unknown parameter c tk and a tk ;

[0019] (14) Repeat steps (11)-(13) to establish the off-state excitation response model:

[0020] h gk (t) = c gk t^(a gk )

[0021] Where: h gk (t) represents the impulse response when the kth group of switching devices is turned off; c gk is the intensity coefficient of the impulse response in the off state; a gk is the time characteristic index of the impulse response in the off state.

[0022] Furthermore, step 2) specifically includes:

[0023] (21) In the bridge rectifier circuit, the two paths, i.e., the first branch and the second branch, are kept one open at any time and the other closed. Based on the impulse response model in step 1), the following equation is established:

[0024] I1(t)=h g1 (t)*V(t)

[0025] I2(t)=h t1 (t)*V(t)

[0026] Where: I1(t) is the current response when the first branch is turned off; I2(t) is the current response when the second branch is turned on; V(t) is the input voltage;

[0027] h g1 (t) is the impulse response when the first branch is turned off, which describes the change of the response characteristics of the first branch to the input voltage over time in the off state;

[0028] h t1 (t) is the impulse response when the second branch is turned on, which describes the change of the response characteristics of the second branch to the input voltage over time when it is in the on state;

[0029] (22) Calculate the loop current transient current I transient (t):

[0030] I transient (t) = I1(t) + I2(t);

[0031] (23) According to the transient current I transient (t) and the circuit load, and calculate the peak reverse voltage of the bridge rectifier circuit according to Ohm's law, which is used as the basis for selecting the bridge rectifier circuit components.

[0032] Furthermore, step 3) specifically includes:

[0033] (31) A rectangular window function is introduced to divide the sinusoidal input voltage into time slices so that the signal characteristics of different time periods can be distinguished and processed later;

[0034] (32) Connect the sinusoidal input voltages in time slices to construct a time series model of the input signal, so that the input signal can participate in subsequent calculations and analysis in the form of discrete time slices;

[0035] (33) Based on the loop current transient current obtained in step 2), combined with the window function and input voltage time series in steps (31) and (32), the total output current I is established total The expression of (t) reflects the relationship between output current, input voltage and system response;

[0036] (34) Using the convolution characteristic, the output current is windowed and decomposed into the steady-state current I steady (t) and transient current I transient (t), to achieve effective separation of the two;

[0037] (35) Based on the results of transient separation, the influence of the transient characteristics of the bridge rectifier circuit on the total output current of the circuit is analyzed. At the same time, the influence of historical transients on the current transients is considered, and a model of the total output current is established to comprehensively evaluate the effect of transient processes on circuit behavior.

[0038] (36) The relationship between switching frequency and transient response is analyzed based on the transient process, and the influence of switching frequency on transient response is determined, thereby providing a basis for optimizing the response time of switching devices and circuit design.

[0039] Furthermore, the rectangular window function introduced in step (31) is:

[0040]

[0041] Where: w d (t) is the rectangular window function; d represents the width of the rectangular window function. If the AC cycle is T, then

[0042] Furthermore, in step (32), the formula for connecting the sinusoidal input voltages by time slices is:

[0043]

[0044] Where: V(t) represents the input sinusoidal voltage signal; It is a time-shifted version of the rectangular window function, which is used to divide the sinusoidal voltage signal into multiple time slices. n represents the nth time slice.

[0045] Furthermore, in step (33), the expression for the output current is established as:

[0046]

[0047] Among them: I total (t) is the total output current of the bridge rectifier circuit, which includes the steady-state current and the transient current; h g1 (t) represents the impulse response when the first branch is turned off; h t1 (t) represents the impulse response when the second branch is turned on;

[0048] *: Convolution operator.

[0049] Furthermore, in step (34), the formula for windowing the total output current of the bridge rectifier circuit is:

[0050]

[0051] The transient term separation formula for the total output current of the bridge rectifier circuit is:

[0052]

[0053] Furthermore, in step (35), the model of the total output current is:

[0054]

[0055] Where: L is the memory length, which indicates how many times the current switch action is affected by the previous switch processes;

[0056] Express Perform rounding to ensure that the result is an integer.

[0057] The present invention has the following beneficial effects:

[0058] 1. The method of the present invention studies the switching transient process of the rectifier circuit based on the system response characteristics, and provides a new theoretical analysis method for studying the withstand voltage value of the switching device of the rectifier circuit and the applicable conditions of the switching rectifier circuit.

[0059] 2. An impulse response model is established using the input and output of the rectifier circuit, and an impulse response model for constructing a fractional power function is proposed, which simplifies the model and only requires identifying two parameters to achieve parameter identification.

[0060] 3. Based on the convolution characteristics, a transient separation method of window function is proposed to separate the steady state and transient state, thus improving a new transient analysis method for rectifier circuits.

[0061] 4. By establishing a detailed impulse response model and algebraic model, and combining the gradient learning algorithm and particle swarm optimization search algorithm to identify unknown parameters, the dynamic behavior of the bridge rectifier circuit in the transient process can be more accurately described, providing a more precise theoretical basis for circuit performance evaluation and optimization.

[0062] 5. Based on the transient analysis results, parameters such as the withstand voltage and response time of the switching devices in the bridge rectifier circuit can be determined more accurately, avoiding problems such as heating and breakdown caused by improper device selection, and improving the reliability and stability of the circuit.

[0063] 6. This transient analysis method can provide guidance for the design and optimization of bridge rectifier circuits under different operating conditions and application scenarios, making the circuit more adaptable and flexible, and better able to meet various complex application requirements.

[0064] 7. In-depth research on transient processes helps to discover potential unstable factors and take corresponding optimization measures, thereby improving the stability of the bridge rectifier circuit during dynamic processes such as switching and reducing the impact of transient fluctuations in voltage and current on the circuit. BRIEF DESCRIPTION OF THE DRAWINGS

[0065] Figure 1 It is a bridge rectifier circuit.

[0066] Figure 2 It is the switching process of an ideal switching device.

[0067] Figure 3 It is the transient analysis modeling flow chart of the bridge rectifier circuit.

[0068] Figure 4 It is the impulse response modeling flow chart.

[0069] Figure 5 It is a transient process analysis flow chart. DETAILED DESCRIPTION

[0070] The present invention will be further described below with reference to the accompanying drawings.

[0071] Bridge rectifier circuit such as Figure 1 As shown, theoretically, when the forward voltage is higher than the threshold voltage, the switch device is turned on, otherwise the switch device is turned off, as shown in Figure 2As shown in Figure 2. In reality, such an ideal switching device cannot exist because, if it did, the instantaneous switching power would approach infinity, causing the device to break down. Therefore, there is a response process at the switching instant, and a model needs to be established to study this process.

[0072] like Figures 3 to 5 The present invention provides a bridge rectifier circuit transient analysis method based on response characteristics, which includes the following steps:

[0073] 1) The four switching devices in the bridge rectifier circuit are divided into two groups according to their on and off states. Input and output impulse response models of the switching devices are established for the on and off states respectively, and the established impulse response models are converted into algebraic models. A cost function is constructed, and the unknown parameters in the algebraic model are identified by combining the gradient learning algorithm and the particle swarm optimization search algorithm.

[0074] 2) Based on the impulse response model and its algebraic model established in step 1), a bridge rectifier circuit switching model is constructed to describe the dynamic behavior of the circuit under different switching states; the loop current transient current is calculated according to the switching model, and the reverse voltage peak of the bridge rectifier circuit is determined in combination with the circuit load;

[0075] 3) A rectangular window function is introduced to divide the sinusoidal input voltage into time slices. The output current signal of the bridge rectifier circuit is windowed according to the characteristics of the impulse response model to achieve effective separation of steady state and transient state. The relationship between switching frequency and transient process is analyzed to evaluate and optimize the transient response performance of the rectifier circuit.

[0076] according to Figure 1 The bridge rectifier circuit shown is composed of four switching devices. At any given moment, two devices are on and two are off. The four devices are divided into two groups based on the switching conditions. Step 1) Establish the input and output impulse response model of the switching devices, which specifically includes the following steps:

[0077] (11) Establish an impulse response model for each set of conduction states of the switching device:

[0078] I k (t) = h tk (t)*V k (t), (k=1, 2)

[0079] Where: k = 1, 2 represents the kth group of switching devices, V k (t) represents the forward voltage of the kth group, I k (t) represents the output current, h tk (t) represents the impulse response when the kth group of switching devices is turned on;

[0080] Building h tk(t) Equivalent simplified expression.

[0081] The impulse response of switching devices is affected by factors such as structure and process, and it is basically impossible to establish a model based on physical mechanisms. Usually, input and output data are used for modeling: expression.

[0082] M is the modeling order. The larger M is, the higher the accuracy is. However, as M increases, the number of unknown parameters increases, making parameter identification difficult. A simplified model is established using the following equivalent relationship:

[0083]

[0084] t is the time variable; a i is an exponential parameter used to characterize the shape characteristics of the impulse response model; c tk is the intensity coefficient of the impulse response in the on-state, representing the amplitude of the impulse response of the kth group of switching devices when they are on; a tk is the time characteristic index of the impulse response in the on-state, which is used to describe the law of the impulse response changing with time when the k-th group of switching devices is turned on;

[0085] (12) Using Legendre transform, the impulse response model of the on-state is converted into an algebraic model;

[0086] (13) Construct a cost function and combine the gradient learning algorithm and particle swarm optimization search algorithm to identify the unknown parameter c tk and a tk ;

[0087] (14) Repeat steps (11)-(13) to establish the off-state excitation response model:

[0088] h gk (t) = c gk t^(a gk )

[0089] Where: h gk (t) represents the impulse response when the kth group of switching devices is turned off; c gk is the intensity coefficient of the impulse response in the off state; a gk is the time characteristic index of the impulse response in the off state.

[0090] Step 2) Switching model of bridge rectifier circuit, analyzing input-output relationship, and studying reverse voltage, specifically including the following steps:

[0091] (21) In a bridge rectifier circuit, two paths, namely the first branch and the second branch, are kept on at any time, while the other is off. When one path switches from on to off, the other switches from off to on. Switching from on to off will produce a transient state, and switching from off to on will also produce a transient state. To simplify the introduction, assume that the first branch switches from on to off, and the second branch switches from off to on. Based on the impulse response model established in step 1, the following equation can be established:

[0092] I1(t)=h g1 (t)*V(t)

[0093] I2(t)=h t1 (t)*V(t)

[0094] Where: I1(t) is the current response when the first branch is turned off; I2(t) is the current response when the second branch is turned on; V(t) is the input voltage;

[0095] h g1 (t) is the impulse response when the first branch is turned off, which describes the change of the response characteristics of the first branch to the input voltage over time in the off state;

[0096] h t1 (t) is the impulse response when the second branch is turned on, which describes the change of the response characteristics of the second branch to the input voltage over time when it is in the on state;

[0097] (22) Calculate the loop current transient current I transient (t):

[0098] I transient (t) = I1(t) + I2(t);

[0099] (23) According to the transient current I transient (t) and the circuit load, and calculate the peak reverse voltage of the bridge rectifier circuit according to Ohm's law, which is used as the basis for selecting the bridge rectifier circuit components.

[0100] Step 3) specifically includes:

[0101] (31) A rectangular window function is introduced to divide the sinusoidal input voltage into time slices so that the signal characteristics of different time periods can be distinguished and processed later.

[0102] The introduced rectangular window function is:

[0103]

[0104] Where: w d (t) is the rectangular window function; d represents the width of the rectangular window function. If the AC cycle is T, then

[0105] (32) The sinusoidal input voltages are connected in time slices to construct a time series model of the input signal, so that the input signal can participate in subsequent calculations and analysis in the form of discrete time slices.

[0106] The formula for connecting the sinusoidal input voltage in time slices is:

[0107]

[0108] Where: V(t) represents the input sinusoidal voltage signal; It is a time-shifted version of the rectangular window function, which is used to divide the sinusoidal voltage signal into multiple time slices. n represents the nth time slice.

[0109] (33) Based on the loop current transient current obtained in step 2), combined with the window function and input voltage time series in steps (31) and (32), the total output current I is established total The expression of (t) reflects the relationship between output current, input voltage and system response.

[0110] The expression for the output current is established as:

[0111]

[0112] Among them: I total (t) is the total output current of the bridge rectifier circuit, which includes the steady-state current and the transient current; h g1 (t) represents the impulse response when the first branch is turned off; h t1 (t) represents the impulse response when the second branch is turned on;

[0113] *: Convolution operator.

[0114] (34) Using the convolution characteristic, the output current is windowed and decomposed into the steady-state current I steady (t) and transient current I transient (t), to achieve effective separation of the two.

[0115] The formula for windowing the total output current of the bridge rectifier circuit is:

[0116]

[0117] The transient term separation formula for the total output current of the bridge rectifier circuit is:

[0118]

[0119] Explanation of transient term separation:

[0120] Each term in the formula represents the contribution of different time slices to the total output current:

[0121] Item 1:

[0122]

[0123] The first term represents the contribution of the input voltage to the output current in the current time slice, where is the input voltage in the current time slice; is the rectangular window function of the current time slice;

[0124] Item 2:

[0125]

[0126] The second term represents the contribution of the input voltage in the current time slice to the output current in the subsequent time slice;

[0127] is the rectangular window function of the subsequent time slices.

[0128] (35) Based on the results of transient separation, the influence of the transient characteristics of the bridge rectifier circuit on the total output current of the circuit is analyzed. At the same time, the influence of historical transients on the current transients is considered, and a model of the total output current is established to comprehensively evaluate the effect of transient processes on circuit behavior.

[0129] The total output current is modeled as:

[0130]

[0131] Where: L is the memory length, which indicates how many times the current switch action is affected by the previous switch processes;

[0132] Express Perform rounding to ensure that the result is an integer.

[0133] The formula shows how the total output current is formed by combining the input voltage at different time slices through a convolution operation with the impulse response, and takes into account the cumulative effect of the transient response:

[0134] The first of these:

[0135]

[0136] The first term represents the contribution of the input voltage to the output current during the current time slice.

[0137] Item 2:

[0138]

[0139] The second term represents the contribution of the input voltage of the previous time slice to the output current of the current time slice.

[0140] Subsequent items:

[0141]

[0142] The subsequent term represents the contribution of the input voltage of the previous time slice to the output current of the current time slice, taking into account the effect of the memory length L.

[0143] (36) The relationship between switching frequency and transient response is analyzed based on the transient process, and the influence of switching frequency on transient response is determined, thereby providing a basis for optimizing the response time of switching devices and circuit design.

[0144] Analyze the switching frequency based on transient processes. Conversely, constrain the response time of switching devices based on the switching frequency. The switching frequency has a reciprocal effect on transient response. On the one hand, analyzing transient processes can determine the impact of switching frequency on transients; on the other hand, based on switching frequency requirements, the response time of switching devices can be limited.

[0145] When the value of memory length L divided by time slice width d is large, the transient generated by the current switch will affect more subsequent switching transient processes. This shows that when the switching frequency is low, the transient response lasts longer and has a wider impact. Conversely, the current switch will also be affected by more previous switching processes, which shows that when the switching frequency is low, the impact of transient responses is more likely to accumulate and interfere with each other. Ideally, That is, the transient impact of each switching action is limited to the current switching process itself and will not affect subsequent switching processes, nor will it be affected by previous switching processes. In this case, the switching frequency is moderate and the transient response time is short, which can improve the stability and efficiency of the circuit.

[0146] The above description is only a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements can be made without departing from the principles of the present invention. These improvements should also be regarded as the scope of protection of the present invention.

Claims

1. A transient analysis method for a bridge rectifier circuit based on response characteristics, characterized by: The steps include: 1) The four switching devices in the bridge rectifier circuit are divided into two groups according to their on and off states. Input and output impulse response models of the switching devices are established for the on and off states respectively, and the established impulse response models are converted into algebraic models. A cost function is constructed, and the unknown parameters in the algebraic model are identified by combining the gradient learning algorithm and the particle swarm optimization search algorithm. 2) Based on the impulse response model and its algebraic model established in step 1), a bridge rectifier circuit switching model is constructed to describe the dynamic behavior of the circuit under different switching states; the loop current transient current is calculated according to the switching model, and the reverse voltage peak of the bridge rectifier circuit is determined in combination with the circuit load; 3) A rectangular window function is introduced to divide the sinusoidal input voltage into time slices. The output current signal of the bridge rectifier circuit is windowed according to the characteristics of the impulse response model to achieve effective separation of steady state and transient state. The relationship between switching frequency and transient process is analyzed to evaluate and optimize the transient response performance of the rectifier circuit.

2. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 1, wherein: Step 1) specifically includes: (11) Establish an impulse response model for the on-state: I k (t)=h tk (t)*V k (t),(k=1,2) Where: k = 1, 2 represents the kth group of switching devices, V k (t) represents the forward voltage of the kth group, I k (t) represents the output current, h tk (t) represents the impulse response when the kth group of switching devices is turned on; M is the modeling order; t is the time variable; a i is an exponential parameter used to characterize the shape characteristics of the impulse response model; c tk is the intensity coefficient of the impulse response in the on-state, representing the amplitude of the impulse response of the kth group of switching devices when they are on; a tk is the time characteristic index of the impulse response in the on-state, which is used to describe the law of the impulse response changing with time when the k-th group of switching devices is turned on; (12) Using Legendre transform, the impulse response model of the on-state is converted into an algebraic model; (13) Construct a cost function and combine the gradient learning algorithm and particle swarm optimization search algorithm to identify the unknown parameter c tk and a tk ; (14) Repeat steps (11)-(13) to establish the off-state excitation response model: h gk (t)=c gk t^(a gk ) Where: h gk (t) represents the impulse response when the kth group of switching devices is turned off; c gk is the intensity coefficient of the impulse response in the off state; a gk is the time characteristic index of the impulse response in the off state.

3. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 1, wherein: Step 2) specifically includes: (21) In the bridge rectifier circuit, the two paths, i.e., the first branch and the second branch, are kept one open at any time and the other closed. Based on the impulse response model in step 1), the following equation is established: I1(t)=h g1 (t)*V(t) I2(t)=h t1 (t)*V(t) Where: I1(t) is the current response when the first branch is turned off; I2(t) is the current response when the second branch is turned on; V(t) is the input voltage; h gt (t) is the impulse response when the first branch is turned off, which describes the change of the response characteristics of the first branch to the input voltage over time in the off state; h t1 (t) is the impulse response when the second branch is turned on, which describes the change of the response characteristics of the second branch to the input voltage over time when it is in the on state; (22) Calculate the loop current transient current I transient (t): I transieny (t)=I1(t)+I2(t); (23) According to the transient current I transient (t) and the circuit load, and calculate the peak reverse voltage of the bridge rectifier circuit according to Ohm's law, which is used as the basis for selecting the bridge rectifier circuit components.

4. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 3, wherein: Step 3) specifically includes: (31) A rectangular window function is introduced to divide the sinusoidal input voltage into time slices so that the signal characteristics of different time periods can be distinguished and processed later; (32) Connect the sinusoidal input voltages in time slices to construct a time series model of the input signal, so that the input signal can participate in subsequent calculations and analysis in the form of discrete time slices; (33) Based on the loop current transient current obtained in step 2), combined with the window function and input voltage time series in steps (31) and (32), the total output current I is established total The expression of (t) reflects the relationship between output current, input voltage and system response; (34) Using the convolution characteristic, the output current is windowed and decomposed into the steady-state current I steady (t) and transient current I transient (t), to achieve effective separation of the two; (35) Based on the results of transient separation, the influence of the transient characteristics of the bridge rectifier circuit on the total output current of the circuit is analyzed. At the same time, the influence of historical transients on the current transients is considered, and a model of the total output current is established to comprehensively evaluate the effect of transient processes on circuit behavior. (36) The relationship between switching frequency and transient response is analyzed based on the transient process, and the influence of switching frequency on transient response is determined, thereby providing a basis for optimizing the response time of switching devices and circuit design.

5. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 4, wherein: The rectangular window function introduced in step (31) is: Where: w d (t) is the rectangular window function; d represents the width of the rectangular window function. If the AC cycle is T, then 6. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 4, wherein: In step (32), the formula for connecting the sinusoidal input voltages by time slices is: Where: V(t) represents the input sinusoidal voltage signal; It is a time-shifted version of the rectangular window function, which is used to divide the sinusoidal voltage signal into multiple time slices. n represents the nth time slice.

7. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 4, wherein: In step (33), the expression for the output current is established as: Among them: I total (t) is the total output current of the bridge rectifier circuit, which includes the steady-state current and the transient current; h g1 (t) represents the impulse response when the first branch is turned off; h t1 (t) represents the impulse response when the second branch is turned on; *: Convolution operator.

8. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 4, wherein: In step (34), the formula for windowing the total output current of the bridge rectifier circuit is: The transient term separation formula for the total output current of the bridge rectifier circuit is:

9. The bridge rectifier circuit transient analysis method based on response characteristics according to claim 4, wherein: In step (35), the model of the total output current is: Where: L is the memory length, which indicates how many times the current switch action is affected by the previous switch processes; Express Perform rounding to ensure that the result is an integer.

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