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Full-Text Articles in Physical Sciences and Mathematics

Simulation Of Electronic Transformer In Line With Ft3 Frame Format, Yu Fei, Hailong Zhang, Qingle Sun Jan 2019

Simulation Of Electronic Transformer In Line With Ft3 Frame Format, Yu Fei, Hailong Zhang, Qingle Sun

Journal of System Simulation

Abstract: In the power system, electronic current transformer based on the Rogowski coil has been widely used in digital substation. Based on the analysis of its composition and structure, the electronic transformer is simulated by the Simulink module in Matlab. Rogowski coil is used to simulate the traditional transformer. Using Σ-Δ ADC converter and digital filter, analog signal from the high-pressure side is converted to digital output data, which is sent via fiber optic Ethernet to FPGA development board after FT3 format framing by Simulink. The data is then sent to the merged unit of transformer’s interface after Manchester encoding …


Study On Vehicle Handling Inverse Dynamics Based On Model Predictive Control Theory, Yingjie Liu, Liu Yun, Shanshan Guo Jan 2019

Study On Vehicle Handling Inverse Dynamics Based On Model Predictive Control Theory, Yingjie Liu, Liu Yun, Shanshan Guo

Journal of System Simulation

Abstract: In order to solve the problem that driver modeling is difficult in vehicle handling dynamics, a study method of vehicle handling inverse dynamics is proposed. Based on model predictive control (MPC), the steering angle input is used as the control variable and the control object is to track the desired path. The optimal control problem of tracking the given path with high speed in vehicle handling inverse dynamics is converted into a secondary planning problem which is then solved by the active set method. The results show that the model predictive control has the advantage of high computing precision …


Soc Estimation With Extended Kalmanfilter Based On Fuzzy Control, Fang Lei, Chen Yong, Zhao Li, Kangsheng Yin, Zheng Yang Jan 2019

Soc Estimation With Extended Kalmanfilter Based On Fuzzy Control, Fang Lei, Chen Yong, Zhao Li, Kangsheng Yin, Zheng Yang

Journal of System Simulation

Abstract: Many factors affect battery’s state of charge (SOC), such as temperature, charge/discharge rate, cycle life and so on.Extended Kalman filter (EKF) iscommonly used to estimate battery’s SOC.The observation equation’s error affects the accuracy of battery’s SOC estimationusing traditional EKF.Considering the effects of temperature and charge/discharge rateon the observation equation’s error, an SOC estimation method using EKF based on fuzzy controlis presented.Mamdani type fuzzy controller is establishedwiththe proposed method, in which temperature and charge/discharge rateare selected as thecontroller’sinput, and the observation matrix’s correction coefficient isused as thecontroller’s output to improvethe filtering process in real time.The simulationresults show that …


Data Driven Pre Tuning Adaptive Subspace Model Predictive Control, Han Pu, Liu Miao, Jia Hao Jan 2019

Data Driven Pre Tuning Adaptive Subspace Model Predictive Control, Han Pu, Liu Miao, Jia Hao

Journal of System Simulation

Abstract: The problem of predictive control is investigated for power plant superheated steam temperature system with the characteristics of large delay, large inertia and time-varying. The data driven pre tuning adaptive subspace model predictive control (PTA-MPC) method, which combines the advantages of subspace identification and state space predictive control, is proposed. The state space models of multiple conditions are obtained by subspace identification with the input signal in persistent excitation. The predictive control law is derived with the state space models, and the controller parameters are optimized by using particle swarm optimization (PSO) algorithm. Based on the least square parameter …


Iterative Stochastic Resonance Demodulation Algorithm Of Frequency-Hopping Signal, Haixia Li, Yongfeng Ren, Yuhua Yang, Zhang Baili, Zhumei Tian Jan 2019

Iterative Stochastic Resonance Demodulation Algorithm Of Frequency-Hopping Signal, Haixia Li, Yongfeng Ren, Yuhua Yang, Zhang Baili, Zhumei Tian

Journal of System Simulation

Abstract: In order to improve the demodulation performance of frequency-hopping signals, this paper proposes a digital receiving algorithm based on the bistable stochastic resonance. With the digital samples sifting, the algorithm processes multiple frequency signals in one stochastic resonance system. The conversion from channel noise to useful signal is improved with multiple iterations of signal system. Finally, the local signal is designed to eliminate the frequency distortion in stochastic resonance system through the relevant calculation. Theoretical analysis and simulation results show that the algorithm can demodulate frequency-hopping signal, and its performance can be improved with the increase of sampling rate. …


Adaptive Generation Algorithm Of Tetrahedral Meshes Based On Density Field, Jidong Wang, Lipeng Fan, Mingyong Pang Jan 2019

Adaptive Generation Algorithm Of Tetrahedral Meshes Based On Density Field, Jidong Wang, Lipeng Fan, Mingyong Pang

Journal of System Simulation

Abstract: We present an algorithm for adaptively generating tetrahedral mesh by constructing the density field of a surface model. A uniform sampled point set is first generated inside the axial bounding box of the surface model. A non-uniform density field is defined according to the surface boundary of the model. Under the control of the density field, the centroidal Voronoi tessellation of the point set is constructed by using iterative method, and the distribution of the point set is optimized adaptively via dynamically adding or deleting points. Taking the points inside the surface model as the insertion points, a tetrahedral …


Swept Volume Generation For Virtual Operation Of Micro And Nano-Devices, Xu Wei, Zhao Xin, Guangyi Sun Jan 2019

Swept Volume Generation For Virtual Operation Of Micro And Nano-Devices, Xu Wei, Zhao Xin, Guangyi Sun

Journal of System Simulation

Abstract: With the increasing popularity of computer technology, it becomes important to obtain the swept volume of target objects or spatial point sets, effectively. In order to solve the problem, a voxel-based method is proposed to generate swept volume. OpenMP and C++AMP parallel computing technologies are used for fast voxel-based operation. By using C++ AMP technology, the computing speed is improved greatly. Traditionally, swept volume has been used in the field of path planning and industrial assembly. In this paper, swept volume technology is applied to the simulation of virtual operation of micro and nano-devices for the first time. The …


Collision Detection Algorithm Of Deformable Object Based On Snake Model Optimization, Li Zhao, Yanxia Jin, Zhipeng Qin, Ren Chao Jan 2019

Collision Detection Algorithm Of Deformable Object Based On Snake Model Optimization, Li Zhao, Yanxia Jin, Zhipeng Qin, Ren Chao

Journal of System Simulation

Abstract: In view of the existing collision detection algorithm which is difficult to solve the collision of real-time and reality, an improved algorithm of collision detection was propsed based on deformable objects. The algorithm based on K-DOPs bounding box applied to update process used the improved PSO algorithm to optimize the Snake model boundary. The concave in collision region, the control point clusters and the center formed multi-linear swarm with the improved selection method and the ulti PSO algorithm. Experimental results show that the improved collision detection algorithm can accurate simulate object contour, simplify the bounding box to …


Correlation Analysis Model Of Generalized Stochastic System Dynamics, Guangqiu Huang, Qiuqin Lu Jan 2019

Correlation Analysis Model Of Generalized Stochastic System Dynamics, Guangqiu Huang, Qiuqin Lu

Journal of System Simulation

Abstract: In order to solve the problem of system dynamics (SD) simulation and correlation analysis of complex system containing random possesses, the generalized stochastic Petri-net (GSPN) is expanded into the generalized stochastic function Petri-net (GSFPN), and a GSFPN-SD model is proposed by combining GSFPN and SD. The GSFPN-SD model has the following advantages: (1) the process of state evolution is more clear by firing transits; (2) it describes the autonomous dynamic evolution of complex system more realistically as system’s dynamic change is driven by events; (3) transits are fired by tokens' movement, thus the system states can conditionally or …


Simulation On Step-Mode Invertervoltage Regulator Technology Of Independent Dc, Ximei Liu, Li Xiao, Qingle Sun Jan 2019

Simulation On Step-Mode Invertervoltage Regulator Technology Of Independent Dc, Ximei Liu, Li Xiao, Qingle Sun

Journal of System Simulation

Abstract: Pulse width modulation (PWM) is employed to control the delivery of independent power supply,and applied in the field of inverter with combination of the ladder wave modulation technology.The closed loop control of output voltage is realized by changing the PWM duty cycle with the PI controller. The output voltage of the inverter can be automatically adjusted by the set value, which enables the application in power system and medium/large power motor speed control system.This article introduces the topology of step-mode inverter and design method of 31-levelinverter.The step-mode inverter has characteristics of simple circuit structure, flexible control …


Dynamic Relaxation Cooperative Optimization Method With Fast Convergence, Chen Jing, Yuchao Lü, Limin Wang Jan 2019

Dynamic Relaxation Cooperative Optimization Method With Fast Convergence, Chen Jing, Yuchao Lü, Limin Wang

Journal of System Simulation

Abstract: To solve problem of high computational cost and low convergence speed of initial points away from the optimal solution in collaborative optimization, a new dynamic relaxation cooperative optimization method with fast convergence is presented. Two-phase optimization is adopted in this method. In the accelerating convergence phase, the calculation method of relaxation factor is improved, and the inconsistent information between the optimal value of disciplines and its mean value is used to construct the relaxation factor. The optimization solution of the first phase is adopted as the initial points in the optimization solution phase. The relaxation factor satisfying the consistent …


Study On Application Of Hybrid Optimization Algorithm In Parameters Optimization Of Manipulator, Chikun Gong, Yinghui Sun, Lipeng Yuan Jan 2019

Study On Application Of Hybrid Optimization Algorithm In Parameters Optimization Of Manipulator, Chikun Gong, Yinghui Sun, Lipeng Yuan

Journal of System Simulation

Abstract: When the industrial robot carries on the precise processing, it is possible to finish in the work space of the whole attitude. In order to obtain the compact structure and meet the processing point, a new hybrid optimization algorithm is proposed. The structure model of the robot is established, and the global optimal particle and inertia weight of the particle swarm is introduced. The two parameters are classified by the intermediate value. The dynamic changes of the search medium and the optimization ability are enhanced. After verification, the algorithm has better search ability and higher accuracy. Finally, parameter …


Simulation And Analysis Of Gas Replacement In Sealed Capsule, Xiaohui Guan, Zhou Lin Jan 2019

Simulation And Analysis Of Gas Replacement In Sealed Capsule, Xiaohui Guan, Zhou Lin

Journal of System Simulation

Abstract: The multicomponent gas replacement operations in the sealed capsule with cavities connected by slit are modeled and simulated based on the analytic estimation and the CFD numerical simulation methods in this paper. Corresponding result comparisons and discussions on the time costs and replacement effects of different replacement operations and parameters are presented. The estimation and numerical simulation results of mixing and compression replacement operations with different gas velocities demonstrate that, for the cavity connected by slit, analytic estimation method underestimates the effects of mixing replacement operation, but overestimates the compression replacement effects. During the mixing replacement operation, higher …


Simulation System For Special Material Processing Training Based On Augmented Reality Technology, Bin Luo, Shuangquan Ge Jan 2019

Simulation System For Special Material Processing Training Based On Augmented Reality Technology, Bin Luo, Shuangquan Ge

Journal of System Simulation

Abstract: A simulation system for special material processing training within the shielded environment is developed based on augmented reality technology. An observation system composed of analogue camera and network high dome system camera is designed and constructed to extend the view scope of operators. Single hand finger recognition technology is then combined with the observation system to implement friendly interactions between operators and the simulation system, and to achieve interactive training. Augmented reality technology is applied to create fused virtual-real vision, which leads to the implementation of augmented processing induction of cone-shaped part. Primary tests show that the developed …


Research On Balance Cognition Based On Multi-Level Heuristic Dynamic Programming Of Flexible Robot, Chen Jing Jan 2019

Research On Balance Cognition Based On Multi-Level Heuristic Dynamic Programming Of Flexible Robot, Chen Jing

Journal of System Simulation

Abstract: Aiming at the stable self-balancing cognition problems of flexible self-balancing robot, a balance cognition method based on multi-level heuristic dynamic programming is proposed and applied on the self-balance learning of flexible self-balancing robot in this paper. In the proposed cognition method, the original reward mechanism with discrete form is transformed into a continuous form by introducing the orientational reward module, and the converted continuous reward signal is used as the major basis for evaluation. The scheme enables the robot to record more information in the autonomic cognition process and improve its cognitive ability. Through the robot self-balancing …


Dual Channel Maneuver Flight Control Based On Dynamic Inverse And Dynamic Sliding Mode, Shengyi Yang, Liu Chao, Shengjing Tang, Weili Yang Jan 2019

Dual Channel Maneuver Flight Control Based On Dynamic Inverse And Dynamic Sliding Mode, Shengyi Yang, Liu Chao, Shengjing Tang, Weili Yang

Journal of System Simulation

Abstract: In order to solve the flight control problem of mini quadrotor with large angle and fast maneuver, a new dual channel maneuver flight control method based on dynamic inverse (DI) and sliding mode control (SMC) is proposed. By combining SMC and DI, this method makes the system robust to the model uncertainty and aerodynamic interference. The dynamic SMC effectively reduces system’s chattering. New sliding mode surface and quaternion regular model of aircraft attitude are built to improve the control precision and resolve the singular problem of aircraft. The DI improves the system’s dynamic response, and …


Numerical Simulation Of Thermal Comfort And Pm10 Concentration Distribution In A320 Aircraft Cabin, Jiaquan Lin, Ruiting Wang Jan 2019

Numerical Simulation Of Thermal Comfort And Pm10 Concentration Distribution In A320 Aircraft Cabin, Jiaquan Lin, Ruiting Wang

Journal of System Simulation

Abstract: A model of A320 aircraft cabin and human body was established using CFD. Temperature field, velocity field and PM10 concentration field was simulated at different air supply rate of the bridge load air conditioning based on mathematical model of fluid dynamics in cabin. The values of the ADPI and drainage efficiency were calculated respectively at different air supply rate. The optimal supply air velocity evaluation function was constructed based on ADPI and drainage efficiency. The wind speed, temperature and PM10 concentration of the sample points were used to calculate the value of the evaluation function with different …


Modeling And Simulation Of Potential Detection System Based On Woven Electrode, Longfei Li, Yongsheng Ding Jan 2019

Modeling And Simulation Of Potential Detection System Based On Woven Electrode, Longfei Li, Yongsheng Ding

Journal of System Simulation

Abstract: Range of interlacing resistance of woven electrode is induced. Mathematical models of field point potential, electrode potential and electrode potentials difference are constructed. Electrode potential is the weighted mean of field point potentials at interlacing points. Effects of position, size of electrode, and contact resistance on electrode potential are investigated by simulation. Results indicate that there exists two extreme value points at which electrode potential reaches maximum and minimum, respectively. The absolute value of electrode potential extreme value decreases with the increase of electrode’s size. The electrode potential is independent of contact resistance if the expectation of contact resistance …


Multi-Response Parameters Optimization Based On Pca And Neural Network, Jianli Yu, Hongqi Huang, Manxiang Miao Jan 2019

Multi-Response Parameters Optimization Based On Pca And Neural Network, Jianli Yu, Hongqi Huang, Manxiang Miao

Journal of System Simulation

Abstract: A multi-response parameters optimization method based on principal component analysis (PCA) and neural network is proposed. It is used to optimize temperature and time parameters in complex thermal polymerization process. By using the method of weighted PCA, two response indexes, capacity value and loss tangent value, are converted into a single quality performance index. The main effect value is used to identify the search range. The radical basis function (RBF) neural network model is established to search and identify the optimal process parameters. Results show that response indexes are improved and the optimization effect is obvious. Therefore, this study …


Chemical Process Monitoring Based On Dnpe-Svdd, Xiaochun Han, Cuimei Bo, Yi Hui Jan 2019

Chemical Process Monitoring Based On Dnpe-Svdd, Xiaochun Han, Cuimei Bo, Yi Hui

Journal of System Simulation

Abstract: Chemical processes test dataset are high dimensional, and have the combined feature of nonlinear and dynamic characteristics. However, traditional linear dimension reduction algorithm cannot extract the local structure information and dynamic characteristics. The monitoring model of chemical process based on dynamic neighborhood preserving embedding-support vector data description (DNPE-SVDD) algorithm is proposed. With the superiority of NPE in nonlinear dimensionality reduction and SVDD in the detection of outliers, dimension is reduced by DNPE algorithm and the monitoring model of the manifold space with reduced dimension is established by SVDD algorithm. The Tennessee Eastman (TE) process is simulated using the proposed …


Security Evaluation Techniques And Network Performance Simulation Based On Queue Model, Lifang Liu, Lisha Zhao, Xiaogang Qi, Xiong Wei Jan 2019

Security Evaluation Techniques And Network Performance Simulation Based On Queue Model, Lifang Liu, Lisha Zhao, Xiaogang Qi, Xiong Wei

Journal of System Simulation

Abstract: With the booming development of Internet technology, network security threats force every country to pay more and more attention to network security. By analyzing and summarizing the principles of network security threats, three kinds of proactive security threats are proposed in this paper, including saturation security threats, deleting security threats, and tampering security threats. OPNET is employed as the simulation tool to establish multi-service communications network model, in which the node are based on the queuing theory model. In addition, different traffic intensity parameters are designed to simulate the network performance under various running situations. Fuzzy comprehensive evaluation …


Research On The Torque Ripple Of Brushless Dc Motor Under Non-Ideal Emf, Kun Xia, Bin Dong, Lu Jing Jan 2019

Research On The Torque Ripple Of Brushless Dc Motor Under Non-Ideal Emf, Kun Xia, Bin Dong, Lu Jing

Journal of System Simulation

Abstract: Non-ideal back-EMF waveform of brushless DC motor is unavoidable due to manufactory technology limitation, which contributes to the torque ripple and requires high performance controller to suppress the influence. Several back-EMF waveforms are analyzed and mathematical model of non-ideal back-EMF is proposed. The torque ripple under the non-ideal waveform is calculated and the relationship between torque ripple and the shape of back-EMF waveform is achieved by this model. The change of torque ripple under non-ideal back-EMF is simulated with driving current of square wave and sinusoidal wave. The results show the effectiveness of the back-EMF model for calculating …


Design-Model-Oriented Simulation For High-Speed Railway Dynamics, Xie Xing, Tang Zhao, Jiang Jie, Yisheng Zou, Guofu Ding Jan 2019

Design-Model-Oriented Simulation For High-Speed Railway Dynamics, Xie Xing, Tang Zhao, Jiang Jie, Yisheng Zou, Guofu Ding

Journal of System Simulation

Abstract: The traditional vehicle dynamics focuses more on numerical simulation, which separates from design model. LMS Virtual.Lab Motion - natively integrated in CATIA - is a multi-body dynamics package developed with CAA V5 for mechanical system, which is widely applied in engineering fields, such as aerospace, automotive, etc. But to expand to the dynamics of locomotive vehicle, the bottleneck problem of wheel/rail dynamic interaction should be solved. This paper employs CAA V5 and Motion UDF/UDS functions to create some special force elements which distinguish locomotive vehicles from general multibody system applications, and to integrate wheel/rail interaction solver module which determines …


Soc Prediction Of Battery Based On Improved Online Kernel Extreme Learning Machine, Yukun Sun, Manman Li, Yonghong Huang Jan 2019

Soc Prediction Of Battery Based On Improved Online Kernel Extreme Learning Machine, Yukun Sun, Manman Li, Yonghong Huang

Journal of System Simulation

Abstract: In order to conduct an accurate and fast online prediction for the state of charge (SOC) of battery, an improved online kernel extreme learning machine (IO-KELM) algorithm is proposed. In this work, a prediction model is presented with charge voltage, current and surface temperature as inputs and SOC of battery as output. The IO-KELM adopts Cholesky factorization to extend the kernel extreme learning machine (KELM) from offline mode to online mode. Meanwhile, the output weights of the network are updated by successive join of the new samples, and the matrix inverse operation is replaced with arithmetic. Hence, the generalization …


Parameter Identification For Pmsm Based On Multi-Innovation Approximate Least Absolute Deviation Identification Algorithm, Dinghui Wu, Jianyu Zhang, Yanxia Shen, Zhicheng Ji Jan 2019

Parameter Identification For Pmsm Based On Multi-Innovation Approximate Least Absolute Deviation Identification Algorithm, Dinghui Wu, Jianyu Zhang, Yanxia Shen, Zhicheng Ji

Journal of System Simulation

Abstract: In view of the problem that the results of traditional identification algorithm are not accurate caused by the peak noise signal in the environment, a new algorithm based on the forgetting factor multi-innovation approximate least absolute deviation (MIALAD) identification algorithm is proposed. Combined with the system voltage equation of permanent magnet synchronous motor (PMSM), a discrete identification model is constructed. By using vector control method, the input and output data of the identification model are obtained to identify the rotor resistance and inductance. The simulation results show that this identification algorithm can obtain the accurate parameters of the PMSM …


Modeling Of Distributed Service Composition System Based On Bipartite Network, Yaohui Hao, Jihong Han, Guo Hong, Shuxin Liu Jan 2019

Modeling Of Distributed Service Composition System Based On Bipartite Network, Yaohui Hao, Jihong Han, Guo Hong, Shuxin Liu

Journal of System Simulation

Abstract: Distributed service composition system is widely used in military, communication and other fields.In order to reveal the system’s characteristics, a bipartite network model is proposed. The relation of sever-node’s degree distribution to the three factors of terminal-node’s expectation, terminal-node’s task load andlocal-world size is analyzed by the mean-field theory undercondition ofload balancing and random selection. Both numerical analysis and simulation results show that local-world and sever-node’s degree distribution are irrelevant with random selection.


Study Of Simulation And Influence Of Plunger Cavity Cavitation Water Axial Piston Pump, Zegang Sun, Mingheng Xu, Shide Xiao, Yuanlong Dai Jan 2019

Study Of Simulation And Influence Of Plunger Cavity Cavitation Water Axial Piston Pump, Zegang Sun, Mingheng Xu, Shide Xiao, Yuanlong Dai

Journal of System Simulation

Abstract: The finite element calculation model of water axial piston pump is established by the mixture hybrid and RNG κ-ε turbulence model of the Fluent software. The plunger movement and cylinder rotary are simulated by the dynamic mesh and sliding mesh. The UDF (User Defined Function) is used to set the compressibility of the fluid. It is found that the cavitation degree of plunger cavity is strongly related to m value (the ratio of the diameter of the plunger cavity to the equivalent diameter of the cylinder kidney shape hole). The mathematical model of mc without cavitation value is …


Modeling And Analysis Of Operation Benefit For Electric Vehicle Battery Swapping Station, Weiqing Sun, Shunfeng Chen, Liu Tong, Xiaodong Wu Jan 2019

Modeling And Analysis Of Operation Benefit For Electric Vehicle Battery Swapping Station, Weiqing Sun, Shunfeng Chen, Liu Tong, Xiaodong Wu

Journal of System Simulation

Abstract: The operators of electric vehicle battery swapping stations (EVBSS) seek the maximization of benefit by optimizing the modeling. The changes of operating parameters such as battery swapping demand could affect EVBSS benefits. A linear programming model for EVBSS maximum benefit is established. Based on the sensitivity analysis, it is found that the EVBSS benefit is mainly affected by operating parameters such as battery swapping price, battery depreciation cost, electricity price, etc. For power grid, the sensitivity parameters of peak load shifting are charging-pile number and battery number. The optimal quantity of EVBSS internal infrastructure investment is analyzed. The establishment …


Multi-Objective Vulcanization Workshop Scheduling Based On Improved Harmony Search Algorithm, Wang Yan, Longcheng Wu, Zhicheng Ji, Dahu Yan Jan 2019

Multi-Objective Vulcanization Workshop Scheduling Based On Improved Harmony Search Algorithm, Wang Yan, Longcheng Wu, Zhicheng Ji, Dahu Yan

Journal of System Simulation

Abstract: As a key link in tire production process, the scheduling plan of vulcanization process directly affects the efficiency of the whole tire production process. A discrete encoding method based on vulcanization order - tire number is proposed. An improved harmony search algorithm (IHS) is developed for scheduling the vulcanization workshop with the target of simultaneously minimizing the makespan, die-changing cost and machine idle rate. Vulcanization sequence and tire number are respectively discretized according to the harmony memory considering probability and pitch adjusting probability. The dynamic fine-tuning value is defined to fine-tune the processing number. Finally, the experimental results show …


Simulation Of Mosaic Picture Based On Compact Distribution Synthesis Of Element, Chen Jie, Yang Gang, Yang Meng Jan 2019

Simulation Of Mosaic Picture Based On Compact Distribution Synthesis Of Element, Chen Jie, Yang Gang, Yang Meng

Journal of System Simulation

Abstract: A new method that can rapidly synthesize the compact distribution of diverse types of elements is proposed to realize the simulation of mosaic. The Voronoi diagram is adoptedto segment the distribution region, and each part represents a space occupied by a graphic element to realize the compact distribution of graphic elements. In the process of generating Voronoi diagram, five different distance metrics are used to control the shape of the Voronoi polygon for achieving the compact distribution of the five different shapes. The method can generate graphic element distribution with scale and direction variations so as to simulate the …