Improved Grasshopper Optimization Algorithm Research Articles

Enhanced Energy Proficient Clustering (EEPC) algorithm for minimizes the energy depletion in wireless sensor network

Recent developments in wireless sensor networks (WSNs) have generated interest in the area of sensor tracking events. The proposed work aims to decrease energy usage by identifying functional relay nodes utilizing the enhanced energy proficient clustering (EEPC) method. To minimize long-distance interaction between CH and BS, a power-efficient relay chosen technique is proposed using improved Grasshopper Optimization algorithm (IGOA). The network is constructed using both mobile and fixed nodes. Mobile nodes first choose cluster head (CH) among fixed nodes after broadcasting information. Depending on the related positioning and power density, mobile nodes choose their CH. CH receives information from mobile sensor nodes (SNs). Based on the nodes’ velocity and position, the EEPC method computes particle fitness value and chooses the relay nodes. Performance metrics include Throughput, End-to-End Delay, Packet Delivery Ratio (PDR), Quantity of Received Packets, Total Residual Energy, and Total Energy Consumption, network lifetime. The suggested technique enhances network lifetime and reduces energy consumption when compared to other existing protocols. After 200 simulation rounds, the suggested EEPC displays 98.87% PDR. However, during 200 simulation cycles, ANFISRS, ORNS and DTC-ORS show 97.82%, 96.03%, and 89.585% PDR, respectively.

ONBLR: An effective optimized ensemble ML approach for classifying liver cirrhosis disease

Liver cirrhosis is a late stage of scarring (fibrosis) of the liver caused by many forms of liver diseases and conditions, such as hepatitis and chronic alcoholism. Early diagnosis and management can help slow the progression of the disease and improve quality of life. Developing more accurate and non-invasive methods for the early detection of liver cirrhosis to enhance timely intervention and improve patient outcomes. Effective prediction reduces overall cirrhosis patients' mortality due to various bleeding, making further study in this field a significant task. Therefore, we propose a novel ensemble machine learning based approach for classification. Label encoding and data normalization using the min-max approach are performed in preprocessing. Then, characteristics such as age, gender, Liver function tests (AST, ALT, alkaline phosphatase, bilirubin) and Medical history and comorbidities are retrieved using the ConvNeXt approach. Using the Improved Grasshopper optimization algorithm (IGOA), the essential features that increase the accuracy even more were selected. Finally, the optimized ensemble machine learning approach naïve Bayes and logistic regression (ONBLR) is employed to classify the liver cirrhosis disease. Harris Hawks optimization algorithm is employed to optimize the hyperparameters. The proposed approach is compared with the existing state-of-the-art machine learning approaches. While compared with existing approaches, the proposed model yields 99.18 % accuracy, 99.12 % of Sensitivity and 98.92 % of specificity which is greater among other approaches.

Structural damage detection based on modal strain energy assurance criterion using adaptive region shrinkage assisted IGOA

The efficiency in high-dimension optimization, premature convergence and noise robustness are common challenges that restrict the application of swarm-based algorithms in structural damage detection (SDD). In order to overcome these limitations, an improved grasshopper optimization algorithm (IGOA) based SDD approach assisted with adaptive region shrinkage strategies is proposed using modal strain energy assurance criterion. Firstly, the effectiveness of GOA in handling SDD is investigated, and an improved version is subsequently introduced with two adaptive region shrinkage strategies: adaptive Lévy flight mechanism and elite opposition-based learning, aiming to achieve more accurate and stable SDD results. Additionally, a novel objective function is defined, combining the frequency change ratio (FCR) and modal strain energy assurance criterion (MSEAC). To assess the performance of the proposed algorithm, a comparative analysis is conducted with four other selected swarm intelligent algorithms and GOAs with individual modification using four CEC benchmark functions. The results demonstrate that the proposed algorithm achieves improved convergence rate and accuracy. Furthermore, the effectiveness and efficiency of the proposed algorithm in SDD are validated through two numerical simulations and an experimental test. The SDD results obtained from both numerical simulations and experimental tests confirm the accuracy and robustness of the proposed method.

An improved grasshopper-based MPPT approach to reduce tracking time and startup oscillations in photovoltaic system under partial shading conditions.

Global maximum power point (GMPP) tracking under shading conditions with low tracking time and reduced startup oscillations is one of the challenging tasks in photovoltaic (PV) systems. To cope with this challenge, an improved grasshopper optimization algorithm (IGOA) is proposed in this work to track the GMPP under partial shading conditions (PSC). The performance of the proposed approach is compared with well-known swarm intelligence techniques (SITs) such as gray wolf optimization (GWO), cuckoo search algorithm (CSA), salp swarm algorithm (SSA), improved SSA based on PSO (ISSAPSO), and GOA in terms of tracking time, settling time, failure rate, and startup oscillations. For a fair comparison, the PV system is analysed under uniform irradiance and three PSCs having four to six peaks in the power-voltage characteristic curves and using three to six search agents for each SIT. For this purpose, a PV system containing six solar panels has been built using MATLAB/SIMULINK software, and statistical analysis is performed in detail. The results show that the IGOA tracks the GMPP in 0.07 s and settles the output in 0.12 s which is 25% to 96% faster than its counterparts. Moreover, IGOA proves its consistency with a minimal tracking failure rate of 0% for four to six search agents with negligible startup oscillations. This work is expected to be helpful to PV system installers in obtaining maximum benefits from the installed system.

The improved grasshopper optimization algorithm with Cauchy mutation strategy and random weight operator for solving optimization problems

An improved grasshopper optimization algorithm (GOA) is proposed in this paper, termed CMRWGOA, which combines both Random Weight (shorted RWGOA) and Cauchy mutation (termed CMGOA) mechanism into the GOA. The GOA received inspiration from the foraging and swarming habits of grasshoppers. The performance of the CMRWGOA was validated by 23 benchmark functions in comparison with four well-known meta-heuristic algorithms (AHA, DA, GOA, and MVO), CMGOA, RWGOA, and the GOA. The non-parametric Wilcoxon, Friedman, and Nemenyi statistical tests are conducted on the CMRWGOA. Furthermore, the CMRWGOA has been evaluated in three real-life challenging optimization problems as a complementary study. Various strictly extensive experimental results reveal that the CMRWGOA exhibit better performance.

Research on Transformer Fault Diagnosis Model Based on Improved GOA-SVM

A transformer fault diagnosis model based on the improved grasshopper optimization algorithm-optimized support vector machine (SVM) is proposed to improve the precision of transformer fault diagnosis and avoid the issues that the traditional grasshopper optimization algorithm (GOA) is prone to falling into local optimal solution and slow convergence. Firstly, the grasshopper population is initialized using the elite backward learning strategy to improve the initial population quality and search efficiency. Then, the Sigmoid function is introduced to improve the linear weight decreasing of the grasshopper algorithm into nonlinear weight decreasing to strike a balance between the algorithm’s capacity for both local and global exploration. Finally, the kernel function parameters and penalty coefficients of the SVM are optimized with the improved grasshopper optimization algorithm (IGOA) to establish a model based on dissolved gas analysis (DGA) in oil-based IGOA algorithm-optimized SVM for transformer fault diagnosis model and verify the effectiveness and superiority of IGOA-SVM to identify transformer fault states by comparing with PSO-SVM and GOA-SVM.

K-Tournament Grasshopper Extreme Learner for FMG-Based Gesture Recognition.

The recognition of hand signs is essential for several applications. Due to the variation of possible signals and the complexity of sensor-based systems for hand gesture recognition, a new artificial neural network algorithm providing high accuracy with a reduced architecture and automatic feature selection is needed. In this paper, a novel classification method based on an extreme learning machine (ELM), supported by an improved grasshopper optimization algorithm (GOA) as a core for a weight-pruning process, is proposed. The k-tournament grasshopper optimization algorithm was implemented to select and prune the ELM weights resulting in the proposed k-tournament grasshopper extreme learner (KTGEL) classifier. Myographic methods, such as force myography (FMG), deliver interesting signals that can build the basis for hand sign recognition. FMG was investigated to limit the number of sensors at suitable positions and provide adequate signal processing algorithms for perspective implementation in wearable embedded systems. Based on the proposed KTGEL, the number of sensors and the effect of the number of subjects was investigated in the first stage. It was shown that by increasing the number of subjects participating in the data collection, eight was the minimal number of sensors needed to result in acceptable sign recognition performance. Moreover, implemented with 3000 hidden nodes, after the feature selection wrapper, the ELM had both a microaverage precision and a microaverage sensitivity of 97% for the recognition of a set of gestures, including a middle ambiguity level. The KTGEL reduced the hidden nodes to only 1000, reaching the same total sensitivity with a reduced total precision of only 1% without needing an additional feature selection method.

Minimizing the Localization Error in Wireless Sensor Networks Using Multi-Objective Optimization Techniques

When it comes to remote sensing applications, wireless sensor networks (WSN) are crucial. Because of their small size, low cost, and ability to communicate with one another, sensors are finding more and more applications in a wide range of wireless technologies. The sensor network is the result of the fusion of microelectronic and electromechanical technologies. Through the localization procedure, the precise location of every network node can be determined. When trying to pinpoint the precise location of a node, a mobility anchor can be used in a helpful method known as mobility-assisted localization. In addition to improving route optimization for location-aware mobile nodes, the mobile anchor can do the same for stationary ones. This system proposes a multi-objective approach to minimizing the distance between the source and target nodes by employing the Dijkstra algorithm while avoiding obstacles. Both the Improved Grasshopper Optimization Algorithm (IGOA) and the Butterfly Optimization Algorithm (BOA) have been incorporated into multi-objective models for obstacle avoidance and route planning. Accuracy in localization is enhanced by the proposed system. Further, it decreases both localization errors and computation time when compared to the existing systems.

OLTC Fault Diagnosis Method Based on Time Domain Analysis and Kernel Extreme Learning Machine

<p>Aiming at the problems of limited feature information and low diagnosis accuracy of traditional on-load tap changers (OLTCs), an OLTC fault diagnosis method based on time-domain analysis and kernel extreme learning machine (KELM) is proposed in this paper. Firstly, the time-frequency analysis method is used to analyze the collected OLTC vibration signal, extract the feature information and form the feature matrix; Then, the PCA algorithm is used to select effective features to build the initial optimal feature matrix; Finally, a kernel extreme learning machine optimized by improved grasshopper optimization algorithm (IGOA), is used to handle the optimal feature matrix for classifying fault patterns. Evaluation of algorithm performance in comparison with other existing methods indicates that the proposed method can improve the diagnostic accuracy by at least 7%.</p> <p> </p>

An evolutionary stacked generalization model based on deep learning and improved grasshopper optimization algorithm for predicting the remaining useful life of PEMFC

Accurate prediction of the future degradation trend (FDT) and remaining useful life (RUL) of proton exchange membrane fuel cell (PEMFC) is crucial in the prognosis and health management (PHM) of PEMFC. Therefore, this study develops a stacked generalization model (SGM) to predict the FDT and RUL of the PEMFC. Firstly, maximum information coefficient (MIC) and Akaike information criterion (AIC) are used to select input variables to obtain key information and reduce the difficulty of model training. Then use improved grasshopper optimization algorithm (GOA) to optimize the hyperparameters of the SGM to further improve the prediction performance of the model. Finally, according to the dataset after feature selection, improved GOA (IGOA) optimized SGM (M/AIC-IGOA-SGM) is established to predict FDT and RUL. Among them, IGOA is obtained by introducing Chebyshev chaotic mapping initialization, chaotic decreasing factor, and a spiral position update mechanism to GOA. The base models of SGM are support vector regression (SVR) and gated recurrent unit (GRU), and the meta-model is regularized extreme learning machine (RELM). In the comparative experiments under two different current conditions, the superiority of the proposed model is verified, and the effectiveness of M/AIC, IGOA, and SGM is discussed.

Parameter-Adaptive TVF-EMD Feature Extraction Method Based on Improved GOA.

In order to separate the sub-signals and extract the feature frequency in the signal accurately, we proposed a parameter-adaptive time-varying filtering empirical mode decomposition (TVF-EMD) feature extraction method based on the improved grasshopper optimization algorithm (IGOA). The method not only improved the local optimal problem of GOA, but could also determine the bandwidth threshold and B-spline order of TVF-EMD adaptively. Firstly, a nonlinear decreasing strategy was introduced in this paper to adjust the decreasing coefficient of GOA dynamically. Then, energy entropy mutual information (EEMI) was introduced to comprehensively consider the energy distribution of the modes and the dependence between the modes and the original signal, and the EEMI was used as the objective function. In addition, TVF-EMD was optimized by IGOA and the optimal parameters matching the input signal were obtained. Finally, the feature frequency of the signal was extracted by analyzing the sensitive mode with larger kurtosis. The optimization experiments of 23 sets of benchmark functions showed that IGOA not only enhanced the balance between exploration and development, but also improved the global and local search ability and stability of the algorithm. The analysis of the simulation signal and bearing signal shows that the parameter-adaptive TVF-EMD method can separate the modes with specific physical meanings accurately. Compared with ensemble empirical mode decomposition (EEMD), variational mode decomposition (VMD), TVF-EMD with fixed parameters and GOA-TVF-EMD, the decomposition performance of the proposed method is better. The proposed method not only improved the under-decomposition, over-decomposition and modal aliasing problems of TVF-EMD, but could also accurately separate the frequency components of the signal and extract the included feature information, so it has practical significance in mechanical fault diagnosis.

Signal Denoising of MEMS Vector Hydrophone Based on Optimized VMD, Compressed Sensing, and Wavelet Threshold

With the noise in underwater acoustic signal extracted from ocean background, the denoising algorithm based on the Variational Mode Decomposition (VMD) optimized by improved Grasshopper Optimization Algorithm (IGOA), the compressed sensing (CS) and wavelet threshold (WT) is proposed in this paper, named by IGOA-VMD-CS-WT, where VMD optimized by IGOA is utilized to perform sign composition and the obtained Intrinsic Mode Functions (IMF) are divided into effective components and noise components using cross-correlation coefficient of each IMF. CS is performed on sparse representation of noise components and the obtained sparse coefficients are processed with WT for the filters. The effective components and the denoised components are reconstructed to the denoised signal by the Orthogonal Matching Pursuit. The experiments show that IGOA-VMD-CS-WT has the highest signal-to-noise ratios and the least root mean square errors under different noise levels and has the better denoising effect on the denoising of the actual data.

Optimized hybrid routing protocol for energy-aware cluster head selection in wireless sensor networks

The clustering mechanism in wireless sensor networks (WSNs) is the ideal strategy for constructing an energy efficient protocol for achieving extended network lifetime, energy efficiency, and scalability. The design of energy efficient protocols in WSNs is essential, as the sensor nodes are battery powered, and may be completely drained, resulting in deterioration in network lifetime. Energy efficient protocols aim to maximize network lifetime while minimizing overall energy consumption to avoid interruptions to the wireless sensor nodes deployed for monitoring and recording physical information from the environment. Moreover, hybrid metaheuristic-optimization based clustering and routing protocols are widely used for attaining energy stability and network lifetime. In this study, the golden eagle optimization algorithm (GEOA) and improved grasshopper optimization algorithm (IGHOA) based on the energy efficient cluster-based routing protocol (GEIGOA) are proposed for sustaining energy stability and augmenting network lifetime longevity by overcoming challenges in the cluster head (CH) selection process. In particular, by optimizing the node centrality, node degree, distance to the base station, distance to the neighbors, and residual node energy, GEOA selects an optimal CH from the deployed group of sensor nodes in the network. Furthermore, IGHOA is utilized to determine a reliable and optimal route between the CH and base station (BS) by assessing node degree, residual energy, and distance parameters. Moreover, the proposed GEIGOA was confirmed to be sufficiently capable in improving the probability of preventing the worst nodes from being selected as CHs with different number of sensor nodes, which was predominantly enhanced by 12.64%, 15.82%, 18.96%, and 20.98% compared with the competitive CH selection schemes. In addition, the computational cost incurred by the proposed GEIGOA with different number of sensor nodes was also confirmed to be minimized by 14.98%, 17.21%, 19.76%, and 21.62% compared with the competitive CH selection schemes.

A Hybrid Algorithm Based on GRNN and Grasshopper Optimization Algorithm for Welding Nugget Diameter Prediction

Abstract Resistance spot welding (RSW) is applied extensively by automotive manufacturers for assembling the structural and body components of vehicles. The current method of welding quality inspection is off-line inspection after welding, which cannot provide real-time feedback on welding quality and cannot meet the rhythm of modern production. Therefore, the online non-destructive testing technology of welding quality is worth studying. In this study, an RSW quality prediction model is developed using the improved grasshopper optimization algorithm combined with the generalized regression neural network (GRNN) algorithm, in which the actual process parameters including welding current, welding voltage, energy, power, and pulse width are used as inputs to predict the nugget diameter. During the network training process, the optimization algorithm is used for finding the optimum smoothing factor σ of GRNN, chaotic mapping, and non-uniform mutation are added to the traditional grasshopper optimization algorithm to enhance the optimization ability of the algorithm. Through bootstrap sampling, a comparison experiment about the prediction effect of the proposed quality prediction model with earlier methods is carried out, and the analysis of the experimental results leads to a conclusion that the accuracy of the proposed welding quality prediction model is higher.

Intelligent Diagnosis Method for Mechanical Faults of High-Voltage Shunt Reactors Based on Vibration Measurements

Aiming at the difficulty of accurately identifying latent mechanical faults inside high-voltage shunt reactors (HVSRs), this paper proposes a new method for HVSR state feature extraction and intelligent diagnosis. The method integrates a modified complementary ensemble empirical mode decomposition (CEEMD)–permutation entropy–CEEMD (MCPCEEMD) method, mutual information theory (MI), multiscale fuzzy entropy (MFE), and an improved grasshopper optimization algorithm to optimize the probabilistic neural network (IGOA-PNN) model. First, we introduce MCPCEEMD for suppressing modal aliasing to decompose the HVSR raw vibration signals. Then, the correlation degree between the obtained intrinsic mode function (IMF) components and the HVSR original vibration signals is judged through MI, and the IMF with the highest correlation is selected for feature extraction. Furthermore, this study uses MFE to quantify the selected IMF. Finally, we employ piecewise inertial weights to improve GOA to select the best smoothing factor for PNN, and use the optimized IGOA-PNN model to identify feature subsets. The experimental results show that the proposed method can successfully diagnose different types and degrees of HVSR mechanical faults, and the identification accuracy rate reaches more than 98%. The high recognition accuracy of the proposed method is helpful for the state detection and field application of HVSRs.

Development and application of an evolutionary deep learning framework of LSTM based on improved grasshopper optimization algorithm for short-term load forecasting

Accurate short-term load forecasting (STLF) plays an important role in the daily operation of a smart grid. In order to forecast short-term load more effectively, this article proposes an integrated evolutionary deep learning approach based on complete ensemble empirical mode decomposition with adaptive noise (CEEMDAN), improved grasshopper optimization algorithm (IGOA), and long short-term memory (LSTM) network. First of all, CEEMDAN is used to decompose the original data into a certain number of periodic intrinsic mode functions (IMFs) and a residual. Secondly, the nonlinear strategy is used to improve the attenuation coefficient of GOA, and the golden sine operator is introduced to update the individual position of GOA. Then the improved GOA is used to optimize the parameters of the LSTM model, which are the number of hidden neurons and learning rate. The optimized LSTM is applied to the decomposed modal components. Finally, the prediction results of each modal component are aggregated to get the real STLF results. Through comparative experiments, the effectiveness of the CEEMDAN method, the IGOA method, and the combined model is verified, respectively. The experimental results show that the integrated evolutionary deep learning method proposed in this article is an effective tool for STLF.

An Optimized Multisource Bilinear Convolutional Neural Network Model for Flame Image Identification of Coal Mine

Underground fire monitoring is an important tool to improve coal mine production safety. In this paper, a multi-source information identification method based on bilinear convolutional neural network (B-CNN) is proposed, which consists of construction of multi-source image acquisition system, B-CNN and integrated decision making based on multi-source B-CNN. Aiming at the problem that Softmax loss function based on the gradient descent in B-CNN is easy falling into the local optimum, an improved Grasshopper Optimization Algorithm (GOA) is proposed to optimally selected two parameters of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\boldsymbol {W}$ </tex-math></inline-formula> and <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\boldsymbol {\theta } $ </tex-math></inline-formula> ; the method of initial solution generation based on sine mapping and the method of accepting bad solution with certain probability are respectively adopted. In order to solve high computational complexity in the stage of model training and integrated recognition by multi-source B-CNN, an image feature preprocessing method is proposed in this paper. Several feature vectors of color feature, shape feature and texture feature of the collected image are extracted and used as input vectors of B-CNN to complete model training and integrated recognition. In simulation experiments, firstly, four Benchmark functions are used to verify the performance of the improved GOA; then, by scaling, expanding and rotating the image to simulate the results of image acquisition at multiple positions and angles, different information sources can be formed to complete the integrated recognition by B-CNN. Three performance indexes of Accuracy, Precision and Recall are used to evaluate the simulation result of different comparative models, which show that the proposed method has better recognition effects.

Improved Homomorphic Encryption with Optimal Key Generation Technique for VANETs

In recent years, vehicle ad hoc networks (VANETs) have garnered considerable interest in the field of intelligent transportation systems (ITS) due to the added safety and preventive measures for drivers and passengers. Regardless of the benefits provided by VANET, it confronts various challenges, most notably in terms of user/message security and privacy. Due to the decentralised nature of VANET and its changeable topologies, it is difficult to detect rogue or malfunctioning nodes or users. Using an improved grasshopper optimization algorithm (IGOA-PHE) technique in VANETs, this research develops a new privacy-preserving partly homomorphic encryption with optimal key generation. The suggested IGOA-PHE approach is intended to provide privacy and security in VANETs. The proposed IGOA-PHE technique consists of two stages: an ElGamal public key cryptosystem (EGPKC) for PHE and an optimised key generation procedure based on IGOA. To enhance the security of the EGPKC approach, the keys are selected ideally utilising the IGOA. Additionally, the IGOA is derived by using Gaussian mutation (GM) and Levy flights ideas. The experimental investigation of the proposed IGOA-PHE approach is extensive. The resulting results demonstrated that the provided IGOA-PHE technique outperformed recent state-of-the-art methods.

Hybrid Invasive Weed Improved Grasshopper Optimization Algorithm for Cloud Load Balancing

In cloud computing, the processes of load balancing and task scheduling are major concerns as they are the primary mechanisms responsible for executing tasks by allocating and utilizing the resources of Virtual Machines (VMs) in a more optimal way. This problem of balancing loads and scheduling tasks in the cloud computing scenario can be categorized as an NP-hard problem. This problem of load balancing needs to be efficiently allocated tasks to VMs and sustain the trade-off among the complete set of VMs. It also needs to maintain equilibrium among VMs with the objective of maximizing throughput with a minimized time span. In this paper, a Hybrid Invasive Weed Improved Grasshopper Optimization Algorithm-based-efficient Load Balancing (HIWIGOA-LB) technique is proposed by adopting the merits of the Invasive Weed Optimization Algorithm (IWOA) into the Grasshopper Optimization Algorithm (GOA) for determining the near-optimal solution that facilitates optimal load balancing. In particular, the random walk strategy is adopted to prevent the local point of optimality problem. It also utilized the strategy of grouping to modify the exploitation coefficient associated with the traditional GOA for balancing the rate of exploration and exploitation. The simulation investigations of the proposed HIWIGOA-LB scheme confirmed its better performance in minimizing the make span and response time by 13.21% and 16.71%, with a maximized throughput of 19.28%, better than the baseline approaches considered for investigation.

Synthesis for sidelobe suppression of linear array based on improved grasshopper optimization algorithm with adaptive chaotic strategy

In view of the shortcomings of grasshopper optimization algorithm(GOA), such as insufficient exploration ability in the early stage and insufficient development ability in the later stage, this paper proposes a new adaptive chaotic GOA (ACGOA) by using curve adaptive adjustment strategy to replace the existing linear adaptive strategy, and using uniform chaos optimization to update the grasshopper position, so as to further improve the comprehensive ability of grasshopper swarms in the early exploration and later development, and better realize the balance between global search and local optimization ability. The effectiveness and stability of ACGOA in optimization calculation are tested by using a variety of single/multi peak benchmark function to get the extremum, and then applied to pattern synthesis of linear array for the first time, the target optimization performance of ACGOA is verified by suppressing the maximum SLL of linear array. The results show that compared with other existing algorithms, the algorithm has lower maximum sidelobe level and narrower first null beam width. The ACGOA results and convergence test show that the algorithm has superior applicability in antenna optimization.