CN112583139B - Frequency tracking method of WPT system based on fuzzy RBF neural network - Google Patents
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Abstract
The invention discloses a frequency tracking method of a WPT system based on a fuzzy RBF neural network, which comprises an MCR-WPT system main circuit and a frequency tracking control circuit, wherein the frequency tracking control circuit is used for detecting and collecting the phase difference and the phase difference change rate of resonant voltage and resonant current of a transmitting end in the MCR-WPT system main circuit, and a PID controller utilizes the RBF neural network to adjust the control quantity of the frequency of an H bridge inverter in real time so as to realize the self-adaptive tracking of the resonant working frequency of the transmitting end, so that the resonant voltage and the resonant current of the transmitting end keep the same frequency and the same phase at the moment, namely the phase difference of the resonant voltage and the resonant current of the transmitting end is kept at 0 degree, thereby ensuring that the resonant working frequency of the system keeps consistent with the inherent resonant frequency of the system, and providing a guarantee for realizing higher transmission efficiency of a wireless electric energy transmission system.
Description
Technical Field
The invention relates to the technical field of wireless charging systems, in particular to a frequency tracking method of a WPT system based on a fuzzy RBF neural network.
Background
At present, a magnetic coupling resonance type wireless power transmission (Magnetic Coupled Resonance Wireless Power Transfer, MCR-WPT) system has the advantages of long transmission distance, high transmission efficiency and the like in a near-field WPT technology, and is widely applied to the fields of wireless charging of electric automobiles, health monitoring, embedded devices and the like, so that the magnetic coupling resonance type wireless power transmission system becomes a research hot spot in the wireless charging field. However, environmental temperature, operating conditions, coil size, surface effects, and the like may cause magnetic flux and current variations of the resonant coil. These variations may cause a variation in the actual operating resonant frequency, resulting in a rapid drop in transmission efficiency, so maintaining the MCR-WPT system operating at the resonant frequency is one of the key technologies to improve transmission efficiency.
In order to ensure that the MCR-WPT system works at a resonance frequency point, the control method mainly comprises three aspects of coil topology optimization, dynamic compensation tuning and frequency tracking. Compared with the other two methods, the frequency tracking control is widely applied to the system due to easy implementation and quick response.
However, most of the current automatic frequency tracking methods of the WPT system realize linear adjustment of the working frequency by detecting the phase difference between the resonant voltage and the current. However, MCR-WPT systems often have a steep course at the moment of frequency mismatch or resonance frequency drift, and this nonlinear variation is not particularly model-referenced.
Disclosure of Invention
Aiming at the technical defects, the invention establishes a frequency tracking closed-loop system model based on a fuzzy RBF neural network by analyzing the influence of control parameters on the system performance, performs nonlinear frequency tracking in real time, realizes fast response and high-precision frequency tracking control on the basis of improving the transmission efficiency of an MCR-WPT system, and proves that the frequency control algorithm enhances the self-adaptive tracking capacity of the working resonant frequency of the WPT system, greatly improves the transmission efficiency of the system and provides an important reference for the efficiency optimization design of the WPT system.
In order to solve the technical problems, the invention adopts the following technical scheme:
the invention provides a WPT system based on a fuzzy RBF neural network, which comprises an MCR-WPT system main circuit and a frequency tracking control circuit, wherein the frequency tracking control circuit comprises a voltage and current acquisition circuit, a zero crossing detection circuit, a digital phase discriminator, a fuzzy controller, a PWM generator, a PID controller and an H bridge inversion driving circuit;
the voltage and current acquisition circuit is used for completing resonance voltage of the transmitting end of the main circuit of the MCR-WPT systemAnd resonance current->Is detected;
the zero-crossing detection circuit detects the voltage of the main circuit of the MCR-WPT systemAnd resonance current->Square wave signal converted into same frequency and same phase> and />;
Digital phase detector outputs a signal and />Phase comparison is carried out, resulting in a phase difference +.>Rate of change of phase difference;
The fuzzy controller adjusts parameters of the PID controller based on the fuzzy RBF neural network, and when the PID controller works, the fuzzy RBF neural network adjusts parameters of the PID controller according to the parameters of the PID controller and />The PID parameters are adjusted in real time, and the phase difference is maintained at 0 degrees;
the PWM generator adjusts the frequency according to the PID parameters to generate and output the PID parametersThe same-frequency and same-phase H-bridge driving logic signals pass through the H-bridge inversion driving circuit to realize the switching control of MOSFET tubes in the H-bridge inversion driving circuit.
The frequency tracking method of the WPT system based on the fuzzy RBF neural network comprises the following steps:
s1: constructing a wireless power transmission system model based on an RBF neural network, forming a resonant network, and carrying out real-time self-adaptive tracking on the resonant working frequency of a transmitting end through a fuzzy RBF neural network;
s2: initializing a fuzzy RBF neural network, randomly acquiring a sample in a training set, and selecting the center of a membership function in a fuzzification layer of the RBF neural networkWidth->And calculate the rule applicability in the modeling layer +.>And fuzzy membership->An initial value;
wherein the blurring layer comprises h classes, forming h nodes, each node corresponding to a blurring rule,;representing the%>Features are about>The%>Fuzzy membership of the fuzzy subsets; wherein,
s3: obtaining the resonance current value of the system transmitting end through samplingAnd the resonance voltage value of the transmitting terminal +.>,Indicate->Acquiring discrete values for times, calculating the phase difference of the system>And rate of change of phase difference;
S5: fuzzy rule fitness in samplesIf +.>Adding a corresponding +.f. to the fuzzification layer of RBF neural network>Node of the fuzzy rule, the characteristic component of the corresponding dimension of the sample is taken as the center of the membership function +.>Width->The weight values in the corresponding fuzzy rules are all initialized to 0 for the preset positive number;
if not, entering the next step;
s6: if there is a ruleAnd rule->If the formula (20) is satisfied, merging the two fuzzy rules, otherwise, entering the next parameter learning;
s7: the RBF neural network performs parameter learning and calculates the center of membership function in the RBF neural networkWidth->And network weight coefficient->;
S8: according to the formula (15), three parameters of the PID controller output by the RBF neural network output layer are calculated, and />;/>
in the formula :input for RBF neural network output layer, < ->Is->A connection weight matrix with the output layer,respectively corresponding to 3 parameters->,/> and />;
The fuzzy RBF neural network PID controller calculates the frequency modulation signal incrementThe method comprises the following steps:
s9: according to S8, a control signal capable of keeping the resonance working frequency in the resonance network consistent with the natural resonance frequency of the system is obtained, wherein :
will beAdded to a resonant network formed by modeling a system to ensure a master circuit of an MCR-WPT systemThe H-bridge inverter in (2) is operated at resonance point, phase difference is +.>Maintain zero;
s10: order theThen return to step S2 for the next cycle +.>Detection and frequency control signal->And adjusting to form real-time detection and adjustment.
Preferably, in step S2, the blurring layers are discretized into [ -5, respectively, using a k-means clustering algorithm]Between (a) and (b)Class, this->Class formation->Each node has two gaussian membership functions.
Preferably, in step S6, the merging of the two rules is performed according to the following formula:
Preferably, in step S7, the membership function parameters and the network weight coefficients in the RBF neural network are learned according to the following formula:
wherein ,the iteration step number of the network; />For learning rate +.>Is to learn momentum factors, and->,。/>
Preferably, in step S8, the input of the output layerIs->And normalized fitness->Is a linear combination of (a):
wherein ,normalized layer of RBF neural network, normalized +.>The connection weight of the input of the fuzzification layer and the output layer of the fuzzification layer serving as the RBF neural network.
Preferably, the RBF neural network is normalized by means of barycentric defuzzification:
the invention has the beneficial effects that:
according to the invention, a frequency tracking closed-loop system model based on a fuzzy RBF neural network is established by analyzing the influence of control parameters on the system performance, a fuzzy self-adaptive controller for frequency tracking control is designed, real-time nonlinear frequency tracking is realized, quick response and high-precision frequency tracking control are realized on the basis of improving the transmission efficiency of an MCR-WPT system, the self-adaptive tracking capacity of the working resonant frequency of the MCR-WPT system is enhanced, the resonant voltage and the resonant current of a transmitting end are kept in the same frequency and the same phase at the moment, namely, the phase difference of the resonant voltage and the resonant current is kept at 0 degree, so that the resonant working frequency of the system is kept consistent with the inherent resonant frequency of the system, a guarantee is provided for realizing higher transmission efficiency of a wireless electric energy transmission system, and an important reference is provided for the optimal design of the efficiency of the MCR-WPT system.
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In order to more clearly illustrate the embodiments of the invention or the technical solutions in the prior art, the drawings that are required in the embodiments or the description of the prior art will be briefly described, it being obvious that the drawings in the following description are only some embodiments of the invention, and that other drawings may be obtained according to these drawings without inventive effort for a person skilled in the art.
FIG. 1 is a system block diagram of the present invention;
FIG. 2 is a diagram of a main circuit of a string topology of an MCR-WPT system;
fig. 3 is a frequency tracking block diagram of a fuzzy RBF neural network.
Detailed Description
The following description of the embodiments of the present invention will be made clearly and completely with reference to the accompanying drawings, in which it is apparent that the embodiments described are only some embodiments of the present invention, but not all embodiments. All other embodiments, which can be made by those skilled in the art based on the embodiments of the invention without making any inventive effort, are intended to be within the scope of the invention.
Examples
As shown in fig. 1 and fig. 2, the present invention provides a WPT system based on a fuzzy RBF neural network, the system including an MCR-WPT system main circuit and a frequency tracking control circuit, in particular:
with reference to fig. 2, the main circuit of the mcr-WPT system adopts a typical double-coil string topology main circuit structure, and mainly comprises an H-bridge inverter, a transmitting end series resonant circuit, a receiving end series resonant circuit and a full-bridge rectifying circuit; wherein,is a direct current power supply->For power supply filter capacitor, field effect transistor +.>Constitute H bridge inverter, ">For transmitting coil inductance, < >>For receiving coil inductance>、/>For the resonance compensation capacitance corresponding to the transmitting end and the receiving end, M is the mutual inductance between the transmitting coil and the receiving coil, and the magnetic coupling tightness of the two coils is determined by the coupling coefficient +.>Indicating (I)> 、/>High-frequency resonant currents of the transmitting side and the receiving side, respectively,>、/>rectifier diode for parasitic resistance of transmitting circuit and receiving circuit>To form a full bridge rectifier, ">The filter capacitor of rectifier bridge is used to charge and discharge the output voltage>Tends to be smooth; />Is the load side equivalent resistance;
referring to fig. 1, the frequency tracking control circuit includes a voltage and current acquisition circuit, a zero crossing detection circuit, a digital phase discriminator, a fuzzy controller, a PWM generator, a PID controller and an H-bridge inverter driving circuit;
the voltage and current acquisition circuit is used for completing resonance voltage of the transmitting end of the main circuit of the MCR-WPT systemAnd resonance current->Is detected; the zero-crossing detection circuit is used for detecting the resonance voltage of the main circuit of the MCR-WPT system>And resonance current->Square wave signal converted into same frequency and same phase> and />The method comprises the steps of carrying out a first treatment on the surface of the Digital phase detector signals-> and />Phase comparison is carried out, resulting in a phase difference +.>Rate of change in phase difference->The method comprises the steps of carrying out a first treatment on the surface of the The fuzzy controller adjusts parameters of the PID controller based on the fuzzy RBF neural network, and when the PID controller works, the fuzzy RBF neural network is controlled according to +.> and />The PID parameters are adjusted in real time, and the phase difference is maintained at 0 degrees; PWM generator frequency adjustment based on PID parametersGenerate and->The same-frequency and same-phase H-bridge driving logic signals realize the switch control of MOSFET tubes in the H-bridge inversion driving circuit through the H-bridge inversion driving circuit, so that the working frequency of the H-bridge inverter is at a resonance point.
Further, in connection with fig. 2, to facilitate analysis of frequency mismatch characteristics, the SS topology of fig. 2 is analyzed, wherein,/>,/>,
The equivalent model column loop equation is obtained according to kirchhoff's voltage law:
wherein and />For the equivalent impedance of the transmitting end and the receiving end, the two satisfy:
for ease of analysis, the transmitter coil and receiver coil are chosen to be identical in structure, i.e,/>And->;
Based on formulas (1) and (2), the current values on both sides can be calculated as:
wherein Is the inverter angular frequency, input power of MCR-WPT system +.>And output power->The method can be calculated as follows:
According to electromagnetic resonance conditions, the defined detuning rate is:
when (when)When (I)>,/>For the resonance angular frequency, the resonance network is in a resonance state, and the coil loop is pureResistance; when->When (I)>The resonant network is in an overresonance state, and the loop is inductive; when->In the time-course of which the first and second contact surfaces,the resonant network is in an under-resonant state, and the coil loop is capacitive;
As can be seen from the formula (6), when the resonant network is in a resonant state, the equivalent impedance of the coil loop is minimum, and the energy in the coil can realize the transmission with the highest transmission efficiency; in a non-resonance state, the larger the detuning rate is, the transmission efficiency of the system is greatly reduced; because the MCR-WPT system adopts a series resonance structure, the current of the transmitting end is a sine signal, the voltage is a square wave signal, and the self-adaptive frequency tracking is carried out on the resonance current of the transmitting end in real time by adopting a fuzzy control method.
Specific:
for the WPT system, the structure and parameters in the model can be changed at any time due to the influence of factors such as transmission distance, coil offset, load change and the like, and if the control is performed by adopting a conventional PID strategy with unchanged parameters, the ideal frequency tracking effect is difficult to realize; the structure of the fusion fuzzy RBF neural network to be adopted in the invention is shown in figure 3 on the basis of the conventional PID frequency tracking control;
the fuzzy RBF neural network comprises an input layer, a fuzzification layer (i.e. hidden layer), a normalization layer and an output layer;
input layer:
the node number of the input layer of the fuzzy RBF neural network is 2, and the node number is respectively the frequency phase differenceAnd rate of change of phase difference->I.e. input sample +.>, wherein />,/>Representing the transpose of X (matrix transpose of index, one row to one column).
Hidden layer:
the hidden layers are also called fuzzification layers, which are discretized into [ -5,5 ] respectively using a k-means clustering algorithm]Between (a) and (b)Class, this->Class formation->Each node corresponds to a fuzzy rule, and each node has two Gaussian membership functions; this is->Class (/ -)>) Cluster center of->Initial center parameters as each Gaussian membership function of the hidden layer;
in the formula Representing the%>Features are about>The%>Fuzzy membership of the fuzzy subsets, +.>、Respectively representing the center and the width of the Gaussian membership function;
hidden layer (L)The output value of the individual node, i.e. +.>Applicability of the bar rule->The fuzzy rule fitness calculation method based on the Markov distance to replace the traditional Euclidean distance is adopted, namely:
the fitting effect of the model is better by adopting the method of self-adaptive modification of the width parameters of different membership functions, and the formula (8) can be expressed as:
of the formula (I)Representing input samples and hidden layer +.>The mahalanobis distance of the individual nodes,
Normalization layer:
although the traditional standard RBF fuzzy neural network has good performance in training, the generalization capability in the test is not high, and the RBF fuzzy neural network after normalization can effectively improve the generalization capability of the model. The invention adopts a gravity center method defuzzification mode to normalize the network after fusing the T-S fuzzy model;
normalized toThe connection weight of the input of the fuzzification layer and the output layer of the fuzzification layer serving as the RBF neural network.
Output layer:
the output layer comprisesStrip blurring rule and +.>The hidden layer nodes are in one-to-one correspondence and are +.>Output of bar fuzzy rule generation>The method is calculated by reasoning the following rules:
the output layer mainly outputs 3 parameters of the PID controller,/> and />The activation function is selected as:
in the formula :is->Connection weight matrix with output layer, +.>Respectively corresponding to 3 parameters->,/> and />。
Referring to fig. 1 to 3, the frequency tracking method for the system is specifically as follows:
s1: constructing a wireless power transmission system model based on an RBF neural network to form a resonant network, and carrying out real-time self-adaptive tracking on the resonant working frequency of a transmitting end through a fuzzy RBF neural network so as to ensure that the resonant current and the resonant voltage of the transmitting end of the system keep the same frequency and the same direction at the moment;
s2: initializing a fuzzy RBF neural network, randomly acquiring a sample in a training set, and selecting the center of a membership function in a fuzzification layer of the RBF neural networkWidth->And calculate the rule applicability in the modeling layer +.>And fuzzy membership->An initial value;
s3: obtaining the resonance current value of the system transmitting end through samplingAnd the resonance voltage value of the transmitting terminal +.>,Indicate->Acquiring discrete values for times, calculating the phase difference of the system>And rate of change of phase difference, wherein ,/>;
S4: in order to find the optimal weight, the output of the fuzzy RBF neural network is closest to the expected output value, namely the minimum error is reached, and a cost function is defined asNamely, determining a performance index function of the fuzzy RBF neural network;
s5: fuzzy rule fitness in samplesIf +.>Adding a corresponding +.f. to the fuzzification layer of RBF neural network>Node of the fuzzy rule, the characteristic component of the corresponding dimension of the sample is taken as the center of the membership function +.>Width->The weight values in the corresponding fuzzy rules are all initialized to 0 for the preset positive number;
wherein the function isIndicating whether the number in the given point set reaches a given maximum value, if not, entering the next step;
s6: if there is a ruleRule for regulating sumThen->If the formula (20) is satisfied, merging the two fuzzy rules, otherwise, entering the next parameter learning; />
if the two rules are combined, the method is carried out according to the following formula:
S7: the RBF neural network performs parameter learning and calculates the center of membership function in the RBF neural networkWidth->And network weight coefficient->And learns according to the following formula:
wherein ,the iteration step number of the network; />For learning rate +.>Is to learn momentum factors, and->,。
S8: according to the formula (15), three parameters of the PID controller output by the RBF neural network output layer are calculated, and />;
The fuzzy RBF neural network PID controller calculates the frequency modulation signal incrementThe method comprises the following steps:
s9: according to S8, a control signal capable of keeping the resonance working frequency in the resonance network consistent with the natural resonance frequency of the system is obtained, wherein :
will beAdding a PWM generator to drive the H-bridge inverter to ensure that the H-bridge inverter in the main circuit of the MCR-WPT system works at a resonance point and the phase difference is +.>Maintain zero;
s10: order theThen return to step S2 for the next cycle +.>Detection and frequency control signal->And adjusting to form real-time detection and adjustment. />
It will be apparent to those skilled in the art that various modifications and variations can be made to the present invention without departing from the spirit or scope of the invention. Thus, it is intended that the present invention also include such modifications and alterations insofar as they come within the scope of the appended claims or the equivalents thereof.
Claims (6)
1. The frequency tracking method of the WPT system based on the fuzzy RBF neural network is characterized in that the system comprises an MCR-WPT system main circuit and a frequency tracking control circuit, wherein the frequency tracking control circuit comprises a voltage and current acquisition circuit, a zero crossing detection circuit, a digital phase discriminator, a fuzzy controller, a PWM generator, a PID controller and an H bridge inversion driving circuit;
wherein, the voltage and current acquisition circuit completes the transmitting end of the main circuit of the MCR-WPT systemResonant voltage of (2)And resonant currentIs detected;
the zero-crossing detection circuit detects the resonant voltage of the transmitting end of the main circuit of the MCR-WPT systemAnd resonance current->Square wave signal converted into same frequency and same phase> and />;
Digital phase detector outputs a signal and />Phase comparison is performed to generate a phase difference +.>And rate of change of phase difference->;
The fuzzy controller adjusts parameters of the PID controller based on the fuzzy RBF neural network, and when the PID controller works, the fuzzy RBF neural network adjusts parameters of the PID controller according to the parameters of the PID controller and />The PID parameters are adjusted in real time, and the phase difference is maintained at 0 degrees;
the PWM generator adjusts the frequency according to the PID parameters to generate and output the PID parametersThe same-frequency and same-phase H-bridge driving logic signals realize the switch control of MOSFET tubes in an H-bridge inverter in a main circuit of an MCR-WPT system through an H-bridge inverter driving circuit;
the method comprises the following steps:
s1: constructing a wireless power transmission system model based on an RBF neural network, forming a resonant network, and carrying out real-time self-adaptive tracking on the resonant working frequency of a transmitting end through a fuzzy RBF neural network;
s2: initializing a fuzzy RBF neural network, randomly acquiring a sample in a training set, and selecting the center of a membership function in a fuzzification layer of the RBF neural networkWidth->And calculate the rule applicability in the modeling layer +.>And fuzzy membership->An initial value;
wherein the blurring layer comprises h classes, forming h nodes, each node corresponding to a blurring rule,;/>representing the%>Features are about>The%>Fuzzy membership of the fuzzy subsets; wherein (1)>;
S3: obtaining the resonance current value of the system transmitting end through samplingAnd the resonance voltage value of the transmitting terminal +.>Calculating the phase difference ∈>And rate of change of phase difference->;
S5: fuzzy rule fitness in samplesCompared to a preset threshold delta,if->Adding a corresponding +.f. to the fuzzification layer of RBF neural network>Node of the fuzzy rule, the characteristic component of the corresponding dimension of the sample is taken as the center of the membership function +.>Width->The weight values in the corresponding fuzzy rules are all initialized to 0 for the preset positive number;
if not, entering the next step;
s6: if there is a ruleAnd rule->If the formula (20) is satisfied, merging the two fuzzy rules, otherwise, entering the next parameter learning;
s7: the RBF neural network performs parameter learning and calculates the center of membership function in the RBF neural networkWidth->And network weight coefficient->;
S8: according to the formula (15), three parameters of the PID controller output by the RBF neural network output layer are calculated,/>And;
in the formula :input for RBF neural network output layer, < ->Is->A connection weight matrix with the output layer,respectively corresponding to 3 parameters->,/> and />;
The fuzzy RBF neural network PID controller calculates the frequency modulation signal incrementThe method comprises the following steps:
s9: according to S8, a control signal capable of keeping the resonance working frequency in the resonance network consistent with the natural resonance frequency of the system is obtained, wherein :
will beAdding the phase difference into a resonance network formed by constructing a system model to ensure that an H-bridge inverter in a main circuit of the MCR-WPT system works at a resonance point and the phase difference is +.>Maintain zero;
2. The frequency tracking method of WPT system based on fuzzy RBF neural network as claimed in claim 1, wherein in step S2, the fuzzy layers are discretized into [ -5, respectively, using k-means clustering algorithm]Between (a) and (b)Class, this->Class formation->Each node has two gaussian membership functions.
4. the frequency tracking method of WPT system based on fuzzy RBF neural network as claimed in claim 1, wherein membership function parameters and network weight coefficients in the RBF neural network are learned as follows in step S7:
5. The frequency tracking method of WPT system based on fuzzy RBF neural network as claimed in claim 1, wherein in step S8, the input of the output layerIs->And normalized fitness->Is a linear combination of (a):
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