CN105092092A - WSN-based pre-installed substation temperature on-line monitoring and predicting system - Google Patents
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Abstract
本发明公开了一种基于WSN的预装式变电站温度在线监测与预测系统,包括预装式变电站无线温度传感器网络子系统、预装式变电站远程监测管理子系统和预装式变电站温度预测子系统;预装式变电站无线温度传感器网络子系统实时采集电站设备温度数据,再通过WSN传送温度数据到预装式变电站远程监测管理子系统和预装式变电站温度预测子系统;预装式变电站温度预测子系统包括混沌判别与相空间重构单元和粒子群优化的支持向量机训练与预测单元。本发明通过对预装式变电站电力设备的温度进行实时监测与预测,对保证其安全与稳定运行意义重大,具有良好的应用前景。
The invention discloses a WSN-based on-line temperature monitoring and prediction system of a pre-installed substation, including a pre-installed substation wireless temperature sensor network subsystem, a pre-installed substation remote monitoring management subsystem and a pre-installed substation temperature prediction subsystem ;The pre-installed substation wireless temperature sensor network subsystem collects the temperature data of power station equipment in real time, and then transmits the temperature data to the pre-installed substation remote monitoring management subsystem and pre-installed substation temperature prediction subsystem through WSN; pre-installed substation temperature prediction The subsystem includes chaos discrimination and phase space reconstruction unit and support vector machine training and prediction unit of particle swarm optimization. The present invention monitors and predicts the temperature of the power equipment of the prefabricated substation in real time, which is of great significance for ensuring its safe and stable operation, and has a good application prospect.
Description
技术领域technical field
本发明涉及一种基于WSN的预装式变电站温度在线监测与预测系统,属于无线传感器网络在电力领域的应用。The invention relates to a WSN-based online temperature monitoring and prediction system of a prefabricated substation, which belongs to the application of wireless sensor networks in the field of electric power.
背景技术Background technique
预装式变电站具有组合灵活、便于运输、安装方便等优点,越来越受到世界各国电力工作者的重视,而其设备老化、负荷过大等都会造成变电站设备温度过高,从而会引发火灾等事故的发生。因此,对预装式变电站电力设备的温度进行实时监测与预测,对保证预装式变电站的安全与稳定运行意义重大。The prefabricated substation has the advantages of flexible combination, convenient transportation, and convenient installation. It has attracted more and more attention from electric workers all over the world. However, the aging of equipment and excessive load will cause the temperature of substation equipment to be too high, which will cause fires, etc. Accidents happen. Therefore, the real-time monitoring and prediction of the temperature of the power equipment in the prefabricated substation is of great significance to ensure the safe and stable operation of the prefabricated substation.
我国对于电力设备的温度监测的研究已有几十年的历史,在设备温度的在线监测研究上已经取得一定的成果。目前,主流的电力设备测温方式为人工逐点测量、红外热成像、有线在线监测和无线监测四种方式。其中,无线测温方法较之传统的测温方式具备诸多优势。The research on the temperature monitoring of power equipment in our country has a history of several decades, and some achievements have been made in the online monitoring of equipment temperature. At present, the mainstream temperature measurement methods for power equipment are manual point-by-point measurement, infrared thermal imaging, wired online monitoring and wireless monitoring. Among them, the wireless temperature measurement method has many advantages over the traditional temperature measurement method.
发明内容Contents of the invention
发明目的:为了克服传统测温方式中存在的不足,本发明提供一种基于WSN的预装式变电站温度在线监测与预测系统,本发明的技术方案如下:Purpose of the invention: In order to overcome the deficiencies in the traditional temperature measurement methods, the present invention provides a WSN-based prefabricated substation temperature online monitoring and prediction system. The technical scheme of the present invention is as follows:
一种基于WSN的预装式变电站温度在线监测与预测系统,包括预装式变电站无线温度传感器网络子系统、预装式变电站远程监测管理子系统和预装式变电站温度预测子系统;A prefabricated substation temperature online monitoring and prediction system based on WSN, including a prefabricated substation wireless temperature sensor network subsystem, a prefabricated substation remote monitoring management subsystem and a prefabricated substation temperature prediction subsystem;
预装式变电站无线温度传感器网络子系统实时采集电站设备温度数据,再通过WSN传送温度数据到预装式变电站远程监测管理子系统和预装式变电站温度预测子系统;预装式变电站远程监测管理子系统实现远程监测显示、查询变电站设备温度数据;预装式变电站温度预测子系统包括混沌判别与相空间重构单元和粒子群优化的支持向量机训练与预测单元,对设备温度数据进行混沌性验证后,进一步对数据进行相空间重构,然后用重构相空间后的数据训练支持向量机,根据训练好的模型预测设备温度数据。The pre-installed substation wireless temperature sensor network subsystem collects temperature data of power station equipment in real time, and then transmits the temperature data to the pre-installed substation remote monitoring management subsystem and pre-installed substation temperature prediction subsystem through WSN; pre-installed substation remote monitoring management The subsystem realizes remote monitoring, display, and query of substation equipment temperature data; the pre-installed substation temperature prediction subsystem includes a chaos discrimination and phase space reconstruction unit and a particle swarm optimization support vector machine training and prediction unit, which performs chaotic analysis of equipment temperature data. After verification, the phase space is further reconstructed on the data, and then the support vector machine is trained with the reconstructed phase space data, and the temperature data of the equipment is predicted according to the trained model.
上述预装式变电站无线温度传感器网络子系统包括件模块和软件模块。硬件模块包括数字温度传感器、单片机、协调器和远程监控中心电脑,软件模块包括单片机对数字温度传感器的驱动采集子模块以及采用ZigBee协议的数据传输子模块。The above prefabricated substation wireless temperature sensor network subsystem includes component modules and software modules. The hardware module includes a digital temperature sensor, a single-chip microcomputer, a coordinator and a remote monitoring center computer, and the software module includes a driving acquisition sub-module for the digital temperature sensor by the single-chip microcomputer and a data transmission sub-module using the ZigBee protocol.
上述的数字温度传感器为DALLAS半导体公司的DS18B20,单片机为TI公司的CC2530,ZigBee解决方案选用TI的协议栈Z-Stack。The above-mentioned digital temperature sensor is DS18B20 of DALLAS Semiconductor Company, the single-chip microcomputer is CC2530 of TI Company, and the ZigBee solution uses TI's protocol stack Z-Stack.
预装式变电站远程监测管理子系统包括设备温度实时监测模块,设备温度历史查询模块,系统用户管理模块和用户密码修改模块;The pre-installed substation remote monitoring management subsystem includes a real-time monitoring module of equipment temperature, a historical query module of equipment temperature, a system user management module and a user password modification module;
设备温度实时监测模块包括实时温度数据显示和曲线显示子模块;The equipment temperature real-time monitoring module includes real-time temperature data display and curve display sub-modules;
设备温度历史查询模块包括历史温度数据显示,曲线显示和数据导出子模块;The equipment temperature history query module includes historical temperature data display, curve display and data export sub-modules;
系统用户管理模块包括加载,新增,编辑,删除,导出用户信息子模块。The system user management module includes loading, adding, editing, deleting and exporting user information sub-modules.
上述混沌判别与相空间重构单元工作步骤如下:The working steps of the above chaos discrimination and phase space reconstruction unit are as follows:
步骤(1)、采用小数量法进行系统的最大Lyapunov指数的求解;Step (1), adopting the small quantity method to carry out the solution of the maximum Lyapunov exponent of the system;
步骤(2)、根据系统的最大Lyapunov指数进行系统混沌性的判别。Step (2), judging the chaos of the system according to the maximum Lyapunov exponent of the system.
上述步骤(1)采用小数量法进行系统的最大Lyapunov指数的求解步骤具体是指:Above-mentioned step (1) adopts small quantity method to carry out the solution step of the maximum Lyapunov exponent of system specifically refers to:
(6a)、根据光子能量法求解温度时间序列的平均周期;(6a), solve the average period of temperature time series according to photon energy method;
(6b)、根据互信息法求解温度时间序列的时间延迟;(6b), solve the time delay of the temperature time series according to the mutual information method;
(6c)、根据Cao法求解温度时间序列的嵌入维数;(6c), solve the embedding dimension of temperature time series according to Cao method;
(6d)、根据时间延迟和嵌入维数进行相空间的重构;(6d), phase space reconstruction is carried out according to time delay and embedding dimension;
(6e)、根据重构的相空间中的每个参考点找到对应的最近邻点;(6e), find the corresponding nearest neighbor point according to each reference point in the reconstructed phase space;
(6f)、求解相空间中每个点与邻近点的固定离散时间步长后的距离;(6f), solving the distance after each point in the phase space and the fixed discrete time step of the adjacent point;
(6g)、求解上述距离的对数和每个固定时间内的均值。(6g), solving the logarithm of the above-mentioned distance and the mean value in each fixed time.
上述粒子群优化的支持向量机训练与预测单元的工作具体步骤如下:The specific steps of the support vector machine training and prediction unit of the above particle swarm optimization are as follows:
(7a)、对相空间重构后的数据进行处理;(7a), processing the data after phase space reconstruction;
(7b)、采用粒子群算法优化支持向量机的惩罚因子和核函数参数;(7b), adopt particle swarm optimization algorithm to optimize the penalty factor and kernel function parameter of support vector machine;
(7c)、对优化后的支持向量机的惩罚因子、核函数参数和核函数等初始化进行设置;(7c), initializations such as the penalty factor of the optimized support vector machine, kernel function parameters and kernel functions are set;
(7d)、构造最优超平面;(7d), constructing the optimal hyperplane;
(7e)、通过训练样本数据对支持向量机进行训练,构造预测模型;(7e), train the support vector machine through the training sample data, and construct the prediction model;
(7f)、利用预测模型对温度数据进行预测。(7f), using a prediction model to predict the temperature data.
上述(7b)采用粒子群算法优化支持向量机的惩罚因子和核函数参数具体步骤是指:Above-mentioned (7b) uses particle swarm optimization algorithm to optimize the penalty factor and kernel function parameter specific steps of support vector machine to refer to:
(8a)、初始化粒子群每个粒子的位置和速度以及粒子群落数量N;(8a), initializing the position and velocity of each particle of the particle swarm and the number N of the particle swarm;
(8b)、利用预先编写的适应度函数,计算每个粒子的适应度值Fit[i];(8b), using the pre-written fitness function, calculate the fitness value Fit[i] of each particle;
(8c)、判断是否更新个体极值,对每一个粒子来说,如果其适应度值Fit[i]小于个体极值Pbest(i),即Pbest(i)>Fit[i],则用Fit[i]更新Pbest(i);(8c), judging whether to update the individual extremum, for each particle, if its fitness value Fit[i] is smaller than the individual extremum Pbest(i), that is, Pbest(i)>Fit[i], then use Fit [i] update Pbest(i);
(8d)、判断是否更新局部极值,对每一个粒子来说,如果该粒子的适应度值Fit[i]小于全局极值Nbest,即Nbest(i)>Fit[i],则用Fit[i]更新Nbest(i);(8d), judging whether to update the local extremum, for each particle, if the particle’s fitness value Fit[i] is smaller than the global extremum Nbest, that is, Nbest(i)>Fit[i], then use Fit[ i] update Nbest(i);
(8e)、根据公式(8e), according to the formula
Vi=w*Vi+c1*r1(Pbesti-Xi)+c2*r2(Nbesti-Xi)(1)Vi=w*Vi+c1*r1(Pbesti-Xi)+c2*r2(Nbesti-Xi)(1)
Xi=Xi+Vi(2)Xi=Xi+Vi(2)
调整每一个粒子的速度Vi和位置Xi,式中Vi为第i个粒子的速度,Xi为第i个粒子的位置,Pbesti为第i个粒子个体极值,Nbesti为整个粒子群的全局极值,w为惯性因子,c1和c2为学习因子,r1和r2代表0和1之间均匀分布的随机数;Adjust the velocity Vi and position Xi of each particle, where Vi is the velocity of the i-th particle, Xi is the position of the i-th particle, Pbesti is the individual extremum of the i-th particle, and Nbesti is the global extremum of the entire particle swarm , w is an inertia factor, c1 and c2 are learning factors, r1 and r2 represent random numbers uniformly distributed between 0 and 1;
(8f)、判断是否结束迭代,迭代结束条件为达到之前设定的最大迭代次数或者实验误差小于之前设定的最小误差值,如果不结束迭代,则返回(8b)。(8f), judge whether to end the iteration, the iteration end condition is to reach the maximum number of iterations set before or the experimental error is less than the minimum error value set before, if the iteration does not end, then return to (8b).
本发明软硬件结合实时采集,监测,查询,系统管理设备温度数据,对设备温度数据进行混沌性验证,之后进一步利用数据进行相空间重构,采用粒子群算法优化支持向量机的惩罚因子和核函数参数,然后用重构相空间后的数据训练支持向量机,根据训练好的模型预测设备温度数据,从而提高预测的准确率。本发明为提高预测的准确率,在目前研究基础上采用粒子群优化算法,优化支持向量机的惩罚因子和核函数参数,以提高了预测的准确率。粒子群优化算法是一种群体智能的全局随机搜寻算法,粒子群算法依据的原理是“种群”和“进化”原理,主要是利用个体间协作和竞争的基本规律,以找到最优解。采用粒子群优化算法的原因是该算法易于实现且不需要过多参数,效率较高,特别适用于目标参数的优化。所以本发明采用粒子群算法优化支持向量机的惩罚因子和核函数参数,然后用重构相空间后的数据训练SVM,根据训练好的模型预测设备温度数据,优化后的支持向量机预测系统的均方误差降低到0.0211,降低了91%,从而验证了改进后的支持向量机预测系统对预装式变电站电力设备温度的预测具有更高的准确性。基于WSN的预装式变电站温度监测与传统的变电站温度监测方法相比极大地减少了人力、物力的消耗,免去了采用有线方式需要进行布线的苦恼,具有测温精度高、体积小、抗干扰能力强等优点。采用相应技术对预装式变电站电力设备温度进行预测,从而进行预警可以有效的预防变电站设备因温度过高而发生的危险。采用混沌时间序列与支持向量机对预装式变电站电力设备温度数据进行分析和预测,与传统建模预测和时间序列预测方法相比,其预测的准确性得到了较大的提高。The software and hardware of the present invention combine real-time acquisition, monitoring, query, and system management of equipment temperature data to verify the chaotic nature of the equipment temperature data, and then further use the data to reconstruct the phase space, and use the particle swarm algorithm to optimize the penalty factor and kernel of the support vector machine. Function parameters, and then use the data after reconstructing the phase space to train the support vector machine, and predict the temperature data of the equipment according to the trained model, thereby improving the accuracy of the prediction. In order to improve the accuracy of prediction, the present invention adopts particle swarm optimization algorithm on the basis of the current research to optimize the penalty factor and kernel function parameters of the support vector machine, so as to improve the accuracy of prediction. The particle swarm optimization algorithm is a global random search algorithm of swarm intelligence. The particle swarm optimization algorithm is based on the principles of "population" and "evolution". It mainly uses the basic laws of cooperation and competition among individuals to find the optimal solution. The reason for using the particle swarm optimization algorithm is that the algorithm is easy to implement and does not require too many parameters, and has high efficiency, which is especially suitable for the optimization of target parameters. Therefore, the present invention adopts the particle swarm optimization algorithm to optimize the penalty factor and the kernel function parameters of the support vector machine, then trains the SVM with the data after the phase space is reconstructed, predicts the temperature data of the equipment according to the trained model, and optimizes the support vector machine prediction system. The mean square error is reduced to 0.0211, which is reduced by 91%, thus verifying that the improved support vector machine prediction system has higher accuracy in predicting the temperature of power equipment in prefabricated substations. Compared with the traditional substation temperature monitoring method, the pre-installed substation temperature monitoring based on WSN greatly reduces the consumption of manpower and material resources, and avoids the trouble of wiring in the wired mode. It has high temperature measurement accuracy, small size, and resistance Strong interference ability and other advantages. Using corresponding technology to predict the temperature of prefabricated substation power equipment, so as to provide early warning can effectively prevent the danger of substation equipment due to excessive temperature. Using chaotic time series and support vector machine to analyze and predict the temperature data of power equipment in prefabricated substations, compared with traditional modeling and time series prediction methods, the prediction accuracy has been greatly improved.
附图说明Description of drawings
图1是本发明的系统结构框图;Fig. 1 is a system structure block diagram of the present invention;
图2是本发明的预装式变电站远程监测管理子系统的系统设计结构图;Fig. 2 is a system design structural diagram of the prefabricated substation remote monitoring management subsystem of the present invention;
图3是本发明的粒子群优化的支持向量机预测流程图;Fig. 3 is the flow chart of the support vector machine prediction of particle swarm optimization of the present invention;
图4是本发明的粒子群优化的支持向量机预测仿真效果图。Fig. 4 is a prediction simulation effect diagram of the particle swarm optimization support vector machine of the present invention.
具体实施方式detailed description
下面结合附图对本发明作进一步描述。以下实施例仅用于更加清楚地说明本发明的技术方案,而不能以此来限制本发明的保护范围。The present invention will be further described below in conjunction with the accompanying drawings. The following examples are only used to illustrate the technical solution of the present invention more clearly, but not to limit the protection scope of the present invention.
如图1所示,一种基于WSN的预装式变电站温度在线监测与预测系统,包括预装式变电站无线温度传感器网络子系统、预装式变电站远程监测管理子系统和预装式变电站温度预测子系统;As shown in Figure 1, a prefabricated substation temperature online monitoring and prediction system based on WSN, including prefabricated substation wireless temperature sensor network subsystem, prefabricated substation remote monitoring management subsystem and prefabricated substation temperature prediction subsystem;
预装式变电站无线温度传感器网络子系统实时采集电站设备温度数据,再通过WSN传送温度数据到预装式变电站远程监测管理子系统和预装式变电站温度预测子系统;预装式变电站远程监测管理子系统实现远程监测显示、查询变电站设备温度数据;预装式变电站温度预测子系统包括混沌判别与相空间重构单元和粒子群优化的支持向量机训练与预测单元,对设备温度数据进行混沌性验证后,进一步对数据进行相空间重构,然后用重构相空间后的数据训练支持向量机,根据训练好的模型预测设备温度数据。The pre-installed substation wireless temperature sensor network subsystem collects temperature data of power station equipment in real time, and then transmits the temperature data to the pre-installed substation remote monitoring management subsystem and pre-installed substation temperature prediction subsystem through WSN; pre-installed substation remote monitoring management The subsystem realizes remote monitoring, display, and query of substation equipment temperature data; the pre-installed substation temperature prediction subsystem includes a chaos discrimination and phase space reconstruction unit and a particle swarm optimization support vector machine training and prediction unit, which performs chaotic analysis of equipment temperature data. After verification, the phase space is further reconstructed on the data, and then the support vector machine is trained with the reconstructed phase space data, and the temperature data of the equipment is predicted according to the trained model.
上述预装式变电站无线温度传感器网络子系统包括件模块和软件模块。硬件模块包括数字温度传感器、单片机、协调器和远程监控中心电脑,软件模块包括单片机对数字温度传感器的驱动采集子模块以及采用ZigBee协议的数据传输子模块。The above prefabricated substation wireless temperature sensor network subsystem includes component modules and software modules. The hardware module includes a digital temperature sensor, a single-chip microcomputer, a coordinator and a remote monitoring center computer, and the software module includes a driving acquisition sub-module for the digital temperature sensor by the single-chip microcomputer and a data transmission sub-module using the ZigBee protocol.
上述的数字温度传感器为DALLAS半导体公司的DS18B20,单片机为TI公司的CC2530,ZigBee解决方案选用TI的协议栈Z-Stack。The above-mentioned digital temperature sensor is DS18B20 of DALLAS Semiconductor Company, the single-chip microcomputer is CC2530 of TI Company, and the ZigBee solution uses TI's protocol stack Z-Stack.
如图2所示,预装式变电站远程监测管理子系统包括设备温度实时监测模块,设备温度历史查询模块,系统用户管理模块和用户密码修改模块;As shown in Figure 2, the pre-installed substation remote monitoring management subsystem includes a real-time monitoring module of equipment temperature, a historical query module of equipment temperature, a system user management module and a user password modification module;
设备温度实时监测模块包括实时温度数据显示和曲线显示子模块;The equipment temperature real-time monitoring module includes real-time temperature data display and curve display sub-modules;
设备温度历史查询模块包括历史温度数据显示,曲线显示和数据导出子模块;The equipment temperature history query module includes historical temperature data display, curve display and data export sub-modules;
系统用户管理模块包括加载,新增,编辑,删除,导出用户信息子模块。The system user management module includes loading, adding, editing, deleting and exporting user information sub-modules.
如图4所示,本发明的混沌判别与相空间重构单元工作步骤如下:As shown in Figure 4, the working steps of the chaos discrimination and phase space reconstruction unit of the present invention are as follows:
步骤(1)、采用小数量法进行系统的最大Lyapunov指数的求解;Step (1), adopting the small quantity method to carry out the solution of the maximum Lyapunov exponent of the system;
步骤(2)、根据系统的最大Lyapunov指数进行系统混沌性的判别。Step (2), judging the chaos of the system according to the maximum Lyapunov exponent of the system.
上述步骤(1)采用小数量法进行系统的最大Lyapunov指数的求解步骤具体是指:Above-mentioned step (1) adopts small quantity method to carry out the solution step of the maximum Lyapunov exponent of system specifically refers to:
(6a)、根据光子能量法求解温度时间序列的平均周期;(6a), solve the average period of temperature time series according to photon energy method;
(6b)、根据互信息法求解温度时间序列的时间延迟;(6b), solve the time delay of the temperature time series according to the mutual information method;
(6c)、根据Cao法求解温度时间序列的嵌入维数;(6c), solve the embedding dimension of temperature time series according to Cao method;
(6d)、根据时间延迟和嵌入维数进行相空间的重构;(6d), phase space reconstruction is carried out according to time delay and embedding dimension;
(6e)、根据重构的相空间中的每个参考点找到对应的最近邻点;(6e), find the corresponding nearest neighbor point according to each reference point in the reconstructed phase space;
(6f)、求解相空间中每个点与邻近点的固定离散时间步长后的距离;(6f), solving the distance after each point in the phase space and the fixed discrete time step of the adjacent point;
(6g)、求解上述距离的对数和每个固定时间内的均值。(6g), solving the logarithm of the above-mentioned distance and the mean value in each fixed time.
上述粒子群优化的支持向量机训练与预测单元的工作具体步骤如下:The specific steps of the support vector machine training and prediction unit of the above particle swarm optimization are as follows:
(7a)、对相空间重构后的数据进行处理;(7a), processing the data after phase space reconstruction;
(7b)、采用粒子群算法优化支持向量机的惩罚因子和核函数参数;(7b), adopt particle swarm optimization algorithm to optimize the penalty factor and kernel function parameter of support vector machine;
(7c)、对优化后的支持向量机的惩罚因子、核函数参数和核函数等初始化进行设置;(7c), initializations such as the penalty factor of the optimized support vector machine, kernel function parameters and kernel functions are set;
(7d)、构造最优超平面;(7d), constructing the optimal hyperplane;
(7e)、通过训练样本数据对支持向量机进行训练,构造预测模型;(7e), train the support vector machine through the training sample data, and construct the prediction model;
(7f)、利用预测模型对温度数据进行预测。(7f), using a prediction model to predict the temperature data.
上述(7b)采用粒子群算法优化支持向量机的惩罚因子和核函数参数具体步骤是指:Above-mentioned (7b) uses particle swarm optimization algorithm to optimize the penalty factor and kernel function parameter specific steps of support vector machine to refer to:
(8a)、初始化粒子群每个粒子的位置和速度以及粒子群落数量N;(8a), initializing the position and velocity of each particle of the particle swarm and the number N of the particle swarm;
(8b)、利用预先编写的适应度函数,计算每个粒子的适应度值Fit[i];(8b), using the pre-written fitness function, calculate the fitness value Fit[i] of each particle;
(8c)、判断是否更新个体极值,对每一个粒子来说,如果其适应度值Fit[i]小于个体极值Pbest(i),即Pbest(i)>Fit[i],则用Fit[i]更新Pbest(i);(8c), judging whether to update the individual extremum, for each particle, if its fitness value Fit[i] is smaller than the individual extremum Pbest(i), that is, Pbest(i)>Fit[i], then use Fit [i] update Pbest(i);
(8d)、判断是否更新局部极值,对每一个粒子来说,如果该粒子的适应度值Fit[i]小于全局极值Nbest,即Nbest(i)>Fit[i],则用Fit[i]更新Nbest(i);(8d), judging whether to update the local extremum, for each particle, if the particle’s fitness value Fit[i] is smaller than the global extremum Nbest, that is, Nbest(i)>Fit[i], then use Fit[ i] update Nbest(i);
(8e)、根据公式(8e), according to the formula
Vi=w*Vi+c1*r1(Pbesti-Xi)+c2*r2(Nbesti-Xi)(1)Vi=w*Vi+c1*r1(Pbesti-Xi)+c2*r2(Nbesti-Xi)(1)
Xi=Xi+Vi(2)Xi=Xi+Vi(2)
调整每一个粒子的速度Vi和位置Xi,式中Vi为第i个粒子的速度,Xi为第i个粒子的位置,Pbesti为第i个粒子个体极值,Nbesti为整个粒子群的全局极值,w为惯性因子,c1和c2为学习因子,r1和r2代表0和1之间均匀分布的随机数;Adjust the velocity Vi and position Xi of each particle, where Vi is the velocity of the i-th particle, Xi is the position of the i-th particle, Pbesti is the individual extremum of the i-th particle, and Nbesti is the global extremum of the entire particle swarm , w is an inertia factor, c1 and c2 are learning factors, r1 and r2 represent random numbers uniformly distributed between 0 and 1;
(8f)、判断是否结束迭代,迭代结束条件为达到之前设定的最大迭代次数或者实验误差小于之前设定的最小误差值,如果不结束迭代,则返回(8b)。(8f), judge whether to end the iteration, the iteration end condition is to reach the maximum number of iterations set before or the experimental error is less than the minimum error value set before, if the iteration does not end, then return to (8b).
以上仅是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明技术原理的前提下,还可以做出若干改进和变形,这些改进和变形也应视为本发明的保护范围。The above are only preferred embodiments of the present invention. It should be pointed out that for those of ordinary skill in the art, without departing from the technical principle of the present invention, some improvements and deformations can also be made, and these improvements and deformations should also be It is regarded as the protection scope of the present invention.
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