CN106896716A - Micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm - Google Patents

Micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm Download PDF

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CN106896716A
CN106896716A CN201710255456.6A CN201710255456A CN106896716A CN 106896716 A CN106896716 A CN 106896716A CN 201710255456 A CN201710255456 A CN 201710255456A CN 106896716 A CN106896716 A CN 106896716A
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wolf
pid
transverter
micro
direct current
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CN106896716B (en
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李鹏
何帅
汪乐天
周金辉
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North China Electric Power University
Electric Power Research Institute of State Grid Zhejiang Electric Power Co Ltd
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North China Electric Power University
Electric Power Research Institute of State Grid Zhejiang Electric Power Co Ltd
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B11/00Automatic controllers
    • G05B11/01Automatic controllers electric
    • G05B11/36Automatic controllers electric with provision for obtaining particular characteristics, e.g. proportional, integral, differential
    • G05B11/42Automatic controllers electric with provision for obtaining particular characteristics, e.g. proportional, integral, differential for obtaining a characteristic which is both proportional and time-dependent, e.g. P.I., P.I.D.

Abstract

A kind of micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm:The number of wolf, maximum iteration, required problem dimension and pid parameter variable-value scope in setting wolf pack, initialization wolf pack position;The corresponding model objective function value of adjusting in every wolf position of calculating, the i.e. target function value of PID control effect;According to model objective function value of adjusting, it is the optimal wolf of PID effects that wolf pack is divided into α wolves, and β wolves are the wolf of PID effect suboptimums, and δ wolves are the excellent wolf of PID effects the 3rd, and ω wolves are remaining wolf;Calculate the corresponding testing model target function value in α wolves position;Whether testing model PID control effect is judged continuous V times without improvement;Wolf pack location updating to representing pid parameter;Judge whether current iteration number of times reaches the maximum iteration of setting;Output α wolves position, i.e. micro-capacitance sensor alternating current-direct current section transverter global optimum pid parameter value.Can be adjusted to the optimal value under setting the goal the invention enables PID controller parameter.

Description

Micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm
Technical field
The present invention relates to a kind of transverter pid parameter optimization method.More particularly to a kind of micro- electricity based on grey wolf algorithm Net alternating current-direct current section transverter pid parameter optimization method
Background technology
Pid parameter optimization is a kind of important control strategy in automatic control equipment, and it has principle simple, user Just, the features such as strong adaptability, strong robustness.Change of its Control platform to controlled device is less sensitive, is highly suitable for environment Severe industrial site.
Pid parameter optimization is always the major issue of PID controller research field.Due to the high-order of alternating current-direct current micro-capacitance sensor With high non-linearity, the optimization of the wherein PID controller parameter of alternating current-direct current section transverter is very difficult, and traditional experience is adjusted No longer adapt to actual demand.
Grey wolf algorithm is a kind of algorithm by simulating the behavior of wolf pack predation prey to find global optimum, and its performance is Through being proved to be better than particle cluster algorithm, differential evolution algorithm.Therefore, in order to solve the problems, such as Optimization about control parameter, systematicness is improved Can, propose a kind of PID controller parameter optimization method based on grey wolf algorithm.
The content of the invention
The technical problems to be solved by the invention are to provide one kind can make PID controller parameter adjust to setting the goal The micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm of lower optimal value.
The technical solution adopted in the present invention is:A kind of micro-capacitance sensor alternating current-direct current section transverter PID based on grey wolf algorithm Parameter optimization method, comprises the following steps:
1) number of wolf, maximum iteration, required problem dimension and pid parameter variable-value model in setting wolf pack Enclose, initialization wolf pack position;
2) counting how many times, the corresponding model objective function value of adjusting in every wolf position of calculating, i.e., micro- electricity are iterated The target function value of net alternating current-direct current section transverter PID control effect;
3) according to model objective function value of adjusting, wolf pack is divided into α, β, δ, ω, wherein, α wolves are that PID effects are optimal Wolf, β wolves are the wolf of PID effect suboptimums, and δ wolves are the excellent wolf of PID effects the 3rd, and ω wolves are remaining wolf;
4) the corresponding testing model target function value in α wolves position, i.e. micro-capacitance sensor alternating current-direct current section transverter is calculated to increase The target function value of the PID control effect after scrambling is dynamic;
5) whether testing model PID control effect is judged continuous V times without improvement, if so, then stopping iteration, performs step 8) step 6, otherwise, is performed), described V is more than or equal to 6;
6) to representing the wolf pack location updating of pid parameter;
7) judge that whether current iteration number of times reaches the maximum iteration of setting, if reaching, stops iteration, perform step It is rapid 8), otherwise, return to step 2);
8) output α wolves position, i.e. micro-capacitance sensor alternating current-direct current section transverter global optimum pid parameter value.
Step 2) described in model of adjusting be micro-capacitance sensor alternating current-direct current section transverter, wherein, Converter DC-side is for always Stream power supply, AC is connected to AC power supply by a LCL filtering;Control module is divided into inner ring control and outer shroud control, altogether There are the first PID controller, the second PID controller, the 3rd PID controller and the 4th PID controller;First PID controller and Two PID controllers constitute outer shroud control, are control AC and DC voltage, the 3rd PID controller and the 4th PID controller Inner ring control is constituted, is the amplitude and phase angle for controlling wave filter output capacitance voltage;DC voltage and alternating voltage respectively through First PID controller and the second PID controller obtain capacitance voltage angle reference signal and the reference of capacitance voltage amplitude signal;Survey Make the difference and be input to the 3rd PID controller and the 4th PID control with reference signal after the capacitance voltage for measuring is fourier transformed Device;The output of the 3rd PID controller and the 4th PID controller is output as modulated signal after coordinate transform and produces transverter triggering Pulse is to transverter.
Step 2) described in model objective function of adjusting for ITAE+ISE, i.e. J=∫ t | e (t) |+e (t)2Dt, wherein, J is Adjust model objective function value, e (t) is controlled quentity controlled variable deviation, and t is the time.
Step 4) described in testing model be on the basis of model of adjusting, in the output signal of the 3rd PID controller (3) One disturbing signal of step of middle increase.
Step 4) described in testing model object function be ITAE+ISE, i.e. J=∫ t | e (t) |+e (t)2Dt, wherein, J is Adjust model objective function value, e (t) is controlled quentity controlled variable deviation, and t is the time.
Step 6) described in renewal include:
(1) distance before each wolf updates with α, β, δ wolf respectively is asked for, specific formula is:
Dα(t)=C1Xα(t)-X(t)
Dβ(t)=C2Xβ(t)-X(t)
Dδ(t)=C3Xδ(t)-X(t)
C=diag (2r1)
Wherein, Xα(t)、Xβ(t)、XδT () is the position before α, β, δ wolf update, X (t) is the position before all wolves update, I.e. current pid parameter value, Dα、Dβ、DδTo consider to obtain each wolf position with α, β, δ wolf place under certain randomness The distance of position, C is random coefficient, r1It is that equally distributed stochastic variable is obeyed on 0 to 1;
(2) location updating, specific formula are carried out with the distance of α, β, δ wolf according to each wolf respectively:
X1(t+1)=Xα(t)-A1Dα(t)
X2(t+1)=Xβ(t)-A2Dβ(t)
X3(t+1)=Xδ(t)-A3Dδ(t)
A=diag (2ar2-a)
Wherein, X1、X2、X3Position after being updated according to α, β, δ wolf for each wolf, A is random coefficient, a be with Iterations decays to 0 constant, r from 22It is that equally distributed stochastic variable is obeyed on 0 to 1, X (t+1) is wolf after updating Position, A is random coefficient.
Micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm of the invention, employs ash Wolf algorithm carries out optimizing to pid parameter so that PID controller parameter can adjust to the optimal value under setting the goal.The present invention Based on grey wolf algorithm, the process of simulation wolf pack predation prey realizes optimization, sets easy with simple structure, algorithm parameter, interior Storage is small, it is easy to program, and with stronger ability of searching optimum, and verified particle cluster algorithm, the differential evolution of being better than is calculated Method.Therefore, compared with other PID optimize, the PID controls that the present invention can be preferably in Optimize Multivariable PID Controller, especially complication system Device parameter processed, obtains more preferable control effect.
Brief description of the drawings
Fig. 1 is block diagram of the present invention for controll plant;
Fig. 2 is micro-capacitance sensor alternating current-direct current section transverter illustraton of model;
Fig. 3 is micro-capacitance sensor alternating current-direct current section transverter PID controller illustraton of model;
Fig. 4 is DC motor model figure;
Fig. 5 is the flow of micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method of the present invention based on grey wolf algorithm Figure;
Fig. 6 be in example one using adjust object function trend and the particle swarm optimization optimization after the inventive method optimization after Object function trend comparison diagram of adjusting;
Fig. 7 is to be after being optimized with particle swarm optimization using the system step response after the inventive method optimization in example one System step response curve comparison diagram;
Fig. 8 is to be after being optimized with particle swarm optimization using the system step response after the inventive method optimization in example two System step response curve comparison diagram;
Fig. 9 with regard in example two using the inventive method optimization after system step response with particle swarm optimization optimize after be System step response curve comparison diagram.
Specific embodiment
With reference to embodiment and accompanying drawing to the micro-capacitance sensor alternating current-direct current section transverter PID based on grey wolf algorithm of the invention Parameter optimization method is described in detail.
As shown in figure 5, the micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization side based on grey wolf algorithm of the invention Method, comprises the following steps:
1) number of wolf, maximum iteration, required problem dimension and pid parameter variable-value model in setting wolf pack Enclose, initialization wolf pack position;
2) counting how many times, the corresponding model objective function value of adjusting in every wolf position of calculating, i.e., micro- electricity are iterated The target function value of net alternating current-direct current section transverter PID control effect;
Micro-capacitance sensor alternating current-direct current section transverter, wherein, Converter DC-side is a dc source, and AC is by one LCL filtering is connected to AC power supply;Control module is divided into inner ring control and outer shroud control, has the first PID controller 1, second PID controller 2, the 3rd PID controller 3 and the 4th PID controller 4;First PID controller 1 and the second PID controller 2 are constituted Outer shroud is controlled, and is control AC and DC voltage, and the 3rd PID controller 3 and the 4th PID controller 4 constitute inner ring control, It is the amplitude and phase angle for controlling wave filter output capacitance voltage;DC voltage and alternating voltage are respectively through the first PID controller 1 Capacitance voltage angle reference signal is obtained with the second PID controller 2 and capacitance voltage amplitude signal is referred to;The electric capacity that measurement is obtained Make the difference and be input to the 3rd PID controller 3 and the 4th PID controller 4 with reference signal after voltage is fourier transformed;3rd PID The exporting of the PID controller 4 of controller 3 and the 4th be output as after coordinate transform modulated signal and produce transverter trigger pulse to changing Stream device.
Described model objective function of adjusting is for ITAE+ISE, i.e. J=∫ t | e (t) |+e (t)2Dt, wherein, J is mould of adjusting Type target function value, e (t) is controlled quentity controlled variable deviation, and t is the time.
ITAE increased time t as weight for departure, reduce the consideration journey for initial time relatively large deviation Degree, increases the consideration degree for steady-state error, and the small error after being conducive to making up ISE for stabilization considers not enough lacking Point.ISE increases the consideration degree for big deviation with the square value of deviation, is conducive to going out for the larger departure of suppression It is existing.
3) according to model objective function value of adjusting, wolf pack is divided into α, β, δ, ω, wherein, α wolves are that PID effects are optimal Wolf, β wolves are the wolf of PID effect suboptimums, and δ wolves are the excellent wolf of PID effects the 3rd, and ω wolves are remaining wolf;
4) the corresponding testing model target function value in α wolves position, i.e. micro-capacitance sensor alternating current-direct current section transverter is calculated to increase The target function value of the PID control effect after scrambling is dynamic;
Described testing model is on the basis of model of adjusting, one to be increased in the output signal of the 3rd PID controller 3 The disturbing signal of individual step.
Described testing model object function is ITAE+ISE, i.e. J=∫ t | e (t) |+e (t)2Dt, wherein, J is mould of adjusting Type target function value, e (t) is controlled quentity controlled variable deviation, and t is the time.
5) whether testing model PID control effect is judged continuous V times without improvement, if so, then stopping iteration, performs step 8) step 6, otherwise, is performed), described V is more than or equal to 6;
6) to representing the wolf pack location updating of pid parameter;Including:
(1) distance before each wolf updates with α, β, δ wolf respectively is asked for, specific formula is:
Dα(t)=C1Xα(t)-X(t)
Dβ(t)=C2Xβ(t)-X(t)
Dδ(t)=C3Xδ(t)-X(t)
C=diag (2r1)
The presence of C is from the point of view of bionics so that the distance between the grey wolf tried to achieve carries certain randomness, can be preferably The random sexual dysfunction that simulation grey wolf is run into when near prey;
Wherein, Xα(t)、Xβ(t)、XδT () is the position before α, β, δ wolf update, X (t) is the position before all wolves update, I.e. current pid parameter value, Dα、Dβ、DδTo consider to obtain each wolf position with α, β, δ wolf place under certain randomness The distance of position, C is random coefficient, r1It is that equally distributed stochastic variable is obeyed on 0 to 1;
(2) location updating, specific formula are carried out with the distance of α, β, δ wolf according to each wolf respectively:
X1(t+1)=Xα(t)-A1Dα(t)
X2(t+1)=Xβ(t)-A2Dβ(t)
X3(t+1)=Xδ(t)-A3Dδ(t)
A=diag (2ar2-a)
Wherein, X1、X2、X3Position after being updated according to α, β, δ wolf for each wolf, A is random coefficient, a be with Iterations decays to 0 constant, r from 22It is that equally distributed stochastic variable is obeyed on 0 to 1, X (t+1) is wolf after updating Position, a be decayed to from 2 with iterations 0 constant, r2It is that equally distributed stochastic variable is obeyed on 0 to 1, A is Random coefficient.
The span of diagonal element is [- 2,2] in A.In this because, at the algorithm initial stage, P (| 2ar2-a|>1)>0, have Help grey wolf away from prey, that is, be more likely to global search;In the algorithm later stage, P (| 2ar2-a|>1)=0, grey wolf is contributed to lean on Nearly prey, that is, be more likely to part and search element and convergence.
With the position of the current prey of position approximate representation of α wolves, it is considered to obtain each wolf under certain randomness Position is with α wolves position apart from Dα, it is random plus being multiplied by one on the basis of each wolf current location afterwards The D of coefficientα, obtaining each wolf carries out the position X after location updating according to α wolves1
Similarly, according to said method, α wolves are changed to β, δ wolf, obtaining each wolf carries out the position after location updating according to β, δ wolf Put X2、X3
Finally, the position X (t+1) after each wolf updates is X1、X2、X3Arithmetic mean of instantaneous value.
7) judge that whether current iteration number of times reaches the maximum iteration of setting, if reaching, stops iteration, perform step It is rapid 8), otherwise, return to step 2);
8) output α wolves position, i.e. micro-capacitance sensor alternating current-direct current section transverter global optimum pid parameter value.
Below as system shown in Figure 1 structure, example is given:
Example one:Control object is alternating current-direct current section transverter, and its circuit topology figure is as shown in Fig. 2 control module square frame Figure is as shown in figure 3, control AC voltage.
For alternating current-direct current section transverter PID controller, testing model is in the base of model of adjusting to the model of adjusting of the example Outlet side on plinth in PID3 increases an interference signal.
The inventive method is with PSO algorithms to shown in such as table 1 and Fig. 6, Fig. 7.
Table 1 provides the K that two methods are adjustedp、Ki、KdAnd the contrast of system step response performance parameter;
Table 1
Wherein, tf is the rise time, and ts is regulating time, and deviation takes ± 2%, σ % for overshoot.
As it can be seen from table 1 the method for the present invention (GWO) is compared with particle swarm optimization (PSO), the rise time is identical, surpasses Tune amount is slightly poor, but regulating time has clear improvement, and have dropped 76.39%.
From fig. 6, it can be seen that the convergence rate of the method for the present invention is faster, and final convergence result is also superior to population; Wherein, the method for the present invention reaches the generalization ability inspection condition of convergence after iteration 42 times, and population reaches extensive after 59 times The ability test condition of convergence;
From Fig. 7 it is also seen that the method for the present invention optimization after waveform will far better than the waveform of particle group optimizing, Stable state is more rapidly introduced into, dynamic property is good.
Example two:Control object chooses a five abstract rank transmission functions, and its transmission function is as follows:
The model of adjusting of the example is five abstract rank transmission function PID controllers, and testing model is in model of adjusting On the basis of PID outlet side increase an interference signal.
The inventive method is with PSO algorithms to shown in such as table 2 and Fig. 8.
Table 2 provides the K that two methods are adjustedp、Ki、KdAnd the contrast of system step response performance parameter;
Table 2
Wherein, tf is the rise time, and ts is regulating time, and deviation takes ± 2%, σ % for overshoot.
From table 2 it can be seen that the method for the present invention (GWO) is compared with particle swarm optimization (PSO), the rise time is similar, but Regulating time and overshoot have clear improvement, especially overshoot, have dropped 31.02%;From figure 7 it can be seen that its entirety Step response curve it is also more outstanding.
Example three:Control object chooses a specific DC motor model, as shown in figure 4, controlling turning for direct current generator Speed.
For direct current generator PID controller, testing model is straight on the basis of model of adjusting to the model of adjusting of the example The load-side for flowing motor increases an interference signal.
The inventive method is with PSO algorithms to shown in such as table 3 and Fig. 9.
Table 3 provides the K that two methods are adjustedp、Ki、KdAnd the contrast of system step response performance parameter;
Table 3
Wherein, tf is the rise time, and ts is regulating time, and deviation takes ± 2%, σ % for overshoot.
From table 3 it can be seen that the method for the present invention (GWO) is compared with particle swarm optimization (PSO), the rise time is similar, but Regulating time and overshoot make moderate progress;From figure 8, it is seen that its overall step response curve is also more outstanding.
From examples detailed above as can be seen that effect of optimization of the invention is preferable, with good generalization ability.
The advantage that example three is represented not both of the aforesaid example it is with the obvious advantage, its reason is the mould of direct current generator Type is relatively simple, only second-order linearity model.
When naive model is processed, the traditional algorithm such as grey wolf algorithm and population does not have a clear superiority, but for Complex model, then the advantage of grey wolf algorithm is fairly obvious, not only fast convergence rate, and final convergence result is also more outstanding.
And the application in examples detailed above is not limited to, the controller parameter optimization that can be used under other situations is especially right There is good effect in the controller parameter optimization of complication system, with certain application prospect.

Claims (6)

1. a kind of micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm, it is characterised in that including Following steps:
1) number of wolf, maximum iteration, required problem dimension and pid parameter variable-value scope in setting wolf pack, just Beginningization wolf pack position;
2) counting how many times are iterated, the corresponding model objective function value of adjusting in every wolf position of calculating, i.e. micro-capacitance sensor are handed over The target function value of direct current section transverter PID control effect;
3) according to model objective function value of adjusting, wolf pack is divided into α, β, δ, ω, wherein, α wolves are the optimal wolf of PID effects, β Wolf is the wolf of PID effect suboptimums, and δ wolves are the excellent wolf of PID effects the 3rd, and ω wolves are remaining wolf;
4) the corresponding testing model target function value in α wolves position is calculated, i.e. micro-capacitance sensor alternating current-direct current section transverter increase is disturbed The target function value of the PID control effect after dynamic;
5) whether testing model PID control effect is judged continuous V times without improvement, if so, then stopping iteration, performs step 8), it is no Then, step 6 is performed), described V is more than or equal to 6;
6) to representing the wolf pack location updating of pid parameter;
7) judge whether current iteration number of times reaches the maximum iteration of setting, if reaching, stop iteration, perform step 8), otherwise, return to step 2);
8) output α wolves position, i.e. micro-capacitance sensor alternating current-direct current section transverter global optimum pid parameter value.
2. the micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm according to claim 1, Characterized in that, step 2) described in model of adjusting be micro-capacitance sensor alternating current-direct current section transverter, wherein, Converter DC-side is one Dc source, AC is connected to AC power supply by a LCL filtering;Control module is divided into inner ring control and outer shroud control, Have the first PID controller (1), the second PID controller (2), the 3rd PID controller (3) and the 4th PID controller (4);First PID controller (1) and the second PID controller (2) constitute outer shroud control, are control AC and DC voltage, the 3rd PID controls Device (3) processed and the 4th PID controller (4) constitute inner ring control, are the amplitude and phase angle for controlling wave filter output capacitance voltage;Directly Stream voltage and alternating voltage obtain capacitance voltage angle ginseng respectively through the first PID controller (1) and the second PID controller (2) Examine signal and the reference of capacitance voltage amplitude signal;The capacitance voltage that measurement is obtained makes the difference defeated with reference signal after being fourier transformed Enter to the 3rd PID controller (3) and the 4th PID controller (4);3rd PID controller (3) and the 4th PID controller (4) it is defeated Go out after coordinate transform to be output as modulated signal and produce transverter trigger pulse to transverter.
3. the micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm according to claim 1, Characterized in that, step 2) described in model objective function of adjusting for ITAE+ISE, i.e. J=∫ t | e (t) |+e (t)2Dt, wherein, J is model objective function value of adjusting, and e (t) is controlled quentity controlled variable deviation, and t is the time.
4. the micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm according to claim 2, Characterized in that, step 4) described in testing model be on the basis of model of adjusting, in the output of the 3rd PID controller (3) Increase a disturbing signal for step in signal.
5. the micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm according to claim 1, Characterized in that, step 4) described in testing model object function be ITAE+ISE, i.e. J=∫ t | e (t) |+e (t)2Dt, wherein, J is model objective function value of adjusting, and e (t) is controlled quentity controlled variable deviation, and t is the time.
6. the micro-capacitance sensor alternating current-direct current section transverter pid parameter optimization method based on grey wolf algorithm according to claim 1, Characterized in that, step 6) described in renewal include:
(1) distance before each wolf updates with α, β, δ wolf respectively is asked for, specific formula is:
Dα(t)=C1Xα(t)-X(t)
Dβ(t)=C2Xβ(t)-X(t)
Dδ(t)=C3Xδ(t)-X(t)
C=diag (2r1)
Wherein, Xα(t)、Xβ(t)、XδT () is the position before α, β, δ wolf update, X (t) is the position before all wolves update, that is, work as Preceding pid parameter value, Dα、Dβ、DδTo consider to obtain each wolf position and α, β, δ wolf position under certain randomness Distance, C is random coefficient, r1It is that equally distributed stochastic variable is obeyed on 0 to 1;
(2) location updating, specific formula are carried out with the distance of α, β, δ wolf according to each wolf respectively:
X1(t+1)=Xα(t)-A1Dα(t)
X2(t+1)=Xβ(t)-A2Dβ(t)
X3(t+1)=Xδ(t)-A3Dδ(t)
A=diag (2ar2-a)
X ( t + 1 ) = 1 3 ( X 1 ( t + 1 ) + X 2 ( t + 1 ) + X 3 ( t + 1 ) )
Wherein, X1、X2、X3Position after being updated according to α, β, δ wolf for each wolf, A is random coefficient, and a is with iteration Number of times decays to 0 constant, r from 22It is that equally distributed stochastic variable is obeyed on 0 to 1, X (t+1) is the position of wolf after updating Put, A is random coefficient.
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CN114744658B (en) * 2022-04-19 2024-05-14 国网浙江省电力有限公司宁波供电公司 Battery energy storage system size division method and system based on micro-grid
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CN116956197A (en) * 2023-09-14 2023-10-27 山东理工昊明新能源有限公司 Deep learning-based energy facility fault prediction method and device and electronic equipment
CN117135737B (en) * 2023-10-24 2024-01-26 中国铁塔股份有限公司 Control method and device of base station power supply, electronic equipment and storage medium
CN117135737A (en) * 2023-10-24 2023-11-28 中国铁塔股份有限公司 Control method and device of base station power supply, electronic equipment and storage medium

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