Implementation of a novel two-attractor grid multi-scroll chaotic system

This paper proposed a method of generating two attractors in a novel grid multi-scroll chaotic system. Based on a newly generated three-dimensional system, a two-attractor grid multi-scroll attractor system can be generated by adding two triangular waves and a sign function. Some basic dynamical properties, such as equilibrium points, bifurcations, and phase diagrams, were studied. Furthermore, the system was experimentally confirmed by an electronic circuit. The circuit simulation results and numerical simulation results verified the feasibility of this method.

Novel two-directional grid multi-scroll chaotic attractors based on the Jerk system

A new method is presented to generate two-directional (2D) grid multi-scroll chaotic attractors via a specific form of the sine function and sign function series, which are applied to increase saddle points of index 2. The scroll number in the x-direction is modified easily through changing the thresholds of the specific form of the sine function, while the scroll number in the y-direction is controlled by the sign function series. Some basic dynamical properties, such as equilibrium points, bifurcation diagram, phase portraits, and Lyapunov exponents spectrum are studied. Furthermore, the electronic circuit of the system is designed and its simulation results are given by Multisim 10.

Design and implementation of a novel multi-scroll chaotic system

This paper proposes a novel approach for generating a multi-scroll chaotic system. Together with the theoretical design and numerical simulations, three different types of attractor are available, governed by constructing triangular wave, sawtooth wave and hysteresis sequence. The presented new multi-scroll chaotic system is different from the classical multi-scroll chaotic Chua system in dimensionless state equations, nonlinear functions and maximum Lyapunov exponents. In addition, the basic dynamical behaviours, including equilibrium points, eigenvalues, eigenvectors, eigenplanes, bifurcation diagrams and Lyapunov exponents, are further investigated. The success of the design is illustrated by both numerical simulations and circuit experiments.

Data encryption based on a 9D complex chaotic system with quaternion for smart grid

With the development of smart grid, operation and control of a power system can be realized through the power communication network, especially the power production and enterprise management business involve a large amount of sensitive information, and the requirements for data security and real-time transmission are gradually improved. In this paper, a new 9-dimensional(9D) complex chaotic system with quaternion is proposed for the encryption of smart grid data. Firstly, we present the mathematical model of the system, and analyze its attractors, bifurcation diagram, complexity,and 0–1 test. Secondly, the pseudo-random sequences are generated by the new chaotic system to encrypt power data.Finally, the proposed encryption algorithm is verified with power data and images in the smart grid, which can ensure the encryption security and real time. The verification results show that the proposed encryption scheme is technically feasible and available for power data and image encryption in smart grid.

A new multi-scroll chaotic generator

In this paper a new simple multi-scroll chaotic generator is studied. The characteristic of this new multi-scroll chaotic generator is that it is easy to generate different number of scroll chaotic attractors through modifying the nature number n after fixing the suitable system parameters and it does not need complex mathematical derivation. Various number of scroll chaotic attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit experiment on Electronic Workbench （EWB）.

Adaptive generalized synchronization between Chen system and a multi-scroll chaotic system

Based on Lyapunov theory, the adaptive generalized synchronization between Chen system and a multi-scroll chaotic system is investigated. According to the form of target function a proper adaptive controller is designed, by which the controlled Chen system can be synchronized with a multi-scroll chaotic system including unknown parameters. The Lyapunov direct method is exploited to prove that the synchronization error and parameter identification error both converge to zero. Numerical simulation results verify the feasibility of the proposed method further.

A novel multi-scroll chaotic generator:Analysis, simulation, and implementation

Based on a new three-dimensional autonomous linear system and designing a specific form of saturated function series and a sign function with two variables of system, which are employed to increase saddle-focus equilibrium points with index 2, a novel multi-scroll chaotic system is proposed and its typical dynamical characteristics including bifurcation diagram, Poincare map, and the stability of equilibrium points are analyzed. The hardware circuit is designed and the experimental results are presented for confirmation.

A new multi-scroll chaotic system

This paper proposes a new simple autonomous chaotic system which can generate multi-scroll chaotic attractors. The characteristic of this new multi-scroll chaotic system is that the 4n ＋ 2rn ＋ 4-scroll chaotic attractors are generated easily with n and m vaxying under n ≤ m. Various number of scroll chaotic attractors are illustrated not only by computer simulation but also by the realization of an electronic circuit experiment on EWB （Electronics Workbench）.

基于自适应网格多目标鲸鱼算法的火力分配问题研究

传统多目标优化算法在解决多于两个目标函数的火力分配问题时收敛效果不佳,多样性差,耗时过大。基于此,提出了一种自适应网格多目标鲸鱼优化算法(AG-MOWOA)来解决以震塌比例、弹药成本和自身剩余价值为目标函数的火力分配问题。该算法引入混沌映射和外部Pareto存档进化策略提高了种群的多样性,通过自适应网格选取最优个体的方法极大地减少了算法运行时间。仿真实验结果表明,该算法较其他算法收敛速度更快、收敛质量更高、解集分布更多样,能够有效解决火力分配问题。

一种基于用户通勤行为的家庭能量管理优化策略

随着电动汽车快速发展,V2G技术可大幅降低家庭能量管理系统中用户的用能成本,但V2G会影响用户出行。针对此问题提出了一种基于用户通勤行为的家庭能量管理系统优化策略,通过极大似然估计和蒙特卡罗模拟构建用户出行模型,其次将杂交粒子群与混沌算法、免疫算法相融合,利用多重混沌免疫杂交粒子群算法(MCIHPSO)对目标函数进行求解,最后,通过仿真及实验验证了本文所提控制策略显著降低V2G功能对用户出勤的影响。

Generating one-,two-,three-and four-scroll attractors from a novel four-dimensional smooth autonomous chaotic system

A new four-dimensional quadratic smooth autonomous chaotic system is presented in this paper, which can exhibit periodic orbit and chaos under the conditions on the system parameters. Importantly, the system can generate one-, two-, three- and four-scroll chaotic attractors with appropriate choices of parameters. Interestingly, all the attractors are generated only by changing a single parameter. The dynamic analysis approach in the paper involves time series, phase portraits, Poincare maps, a bifurcation diagram, and Lyapunov exponents, to investigate some basic dynamical behaviours of the proposed four-dimensional system.

A new method of encryption wireless energy transmission for EV in the smart grid

Wireless charging has played a crucial role in electric vehicle charging market presently.As electric vehicles will be important nodes access to the smart grid in the future,the security flow of energy and information between wireless charging infrastructure and the smart grid will directly affect the security of the smart grid.A novel secure wireless transfer method for energy and information transfer simultaneously has been represented in this paper by designing a reasonable dual-band coil for simultaneous transmission of energy and information,using improved chaotic modulation and a three times handshake protocol for encrypting energy and information between wireless charging infrastructure and the smart grid.Both the simulation and experiments show that the security of energy transmission can be effectively improved by this structure,in the premise of ensuring the power and efficiency of wireless energy transmission.

可控网格多涡卷混沌系统族及其硬件电路实现

为加强混沌系统在通信链路的抗干扰和抗截获等性能,提高混沌系统性态的复杂度,基于典型蔡氏电路和阶梯函数,构造了一类数量可控的新型网格多涡卷混沌系统族。首先利用两组阶梯函数作为系统的非线性控制器,分别控制网格多涡卷混沌吸引子的奇偶列数和排列行数,并保持混沌吸引子中涡卷与键带的相互间置,以实现网格多涡卷的任意奇偶列数;然后对系统的平衡点、李雅普诺夫指数和吸引子等动力学特性进行理论分析和数值仿真实现;最后通过现场可编程门阵列(FPGA)给出最多4行12列网格多涡卷的硬件实验结果。软硬件实验结果和理论分析结果完全一致,进一步验证了所提系统的物理可实现性。

基于龙格库塔算法和可编程门阵列技术的混沌系统实现

提出了使用硬件描述语言(HDL)在现场可编程逻辑门阵列器件(FPGA)上实现二阶龙格库塔法产生混沌信号的一种新方法.首先,根据二阶龙格库塔算法分解求解连续混沌系统,得到一个迭代求解过程;其次,使用HDL描述状态机实现该迭代过程,输出数字混沌序列;最后,将数字混沌序列输出至高速数模转换器(DAC),可观察到模拟混沌信号.给出了网格状多卷波混沌系统和经典Lorenz系统上的具体实现步骤和相应结果.结果表明,此方法具有一定的普适性,可用于其它混沌系统的混沌信号产生,且消耗FPGA资源不多,具有很强实用性.

基于混沌灰狼算法的交直流混合微网经济调度

并网情况下交直流混合微电网的经济稳定运行是微电网建设和运营的基本要求。文中从经济调度的角度出发,建立了考虑微电网设备的维护成本、蓄电池储能损耗成本、AC/DC换流成本、并网售购电费用的联合优化经济模型。针对传统灰狼算法(GWO)在全局搜寻能力上的不足,引入混沌序列Logistic映射对灰狼算法初始化进行改进,丰富灰狼种群的多样性,使初始种群更加均匀的分布在求解区间内。为验证混沌灰狼算法(CGWO)算法的性能,基于实际算例进行仿真分析,验证所提模型与算法的正确性与有效性,在相同算例下将CGWO的优化结果分别与GWO、粒子群算法(PSO)、混沌粒子群算法(CPSO)进行对比分析,结果表明CGWO性能优于其它三种算法,能有效的进行经济调度并保证具有良好的全局搜寻特性和收敛速度。

考虑网内实时电价的微电网经济优化运行研究

为提高风-光的利用率,结合需求响应中的基于负荷率的实时电价模型与微电网优化运行模型,采用混沌烟花算法对微电网中需求侧负荷使用时间与电源侧微源的有功出力进行综合优化。Matlab仿真结果表明,当负荷曲线得到合理优化后,风-光的利用率有明显提升,微电网系统运行的经济性相应地也有所提升,验证该算法求解此类问题的可行性和精确性。

基于反正切的网格混沌吸引子及其保密通信

提出了一种用处处光滑的反正切函数序列生成多维多涡卷网格混沌吸引子的方法,可以生成一维n涡卷、二维n×m网格多涡卷和三维n×m×l网格多涡卷混沌吸引子。平衡点分析、数值仿真、Lyapunov指数谱、分岔图和Poincaré映像都表明系统是混沌的。用简单的线性反馈控制实现了同结构网格多涡卷混沌系统之间的同步,可应用于保密通信。简单的理论分析和数值仿真证明了该方法的有效性。

计及多智能体调度的冷热电联供型微网并网优化运行研究

基于多智能体技术以实现微网内各个代理之间的通信与协调控制为前提,建立了以发电成本和环境费用最小、并网收益最高为目标的冷热电联供型微网并网优化调度模型。该模型应用多代理混沌粒子群算法获得最优解和各微源最佳出力方案。在算例分析中选取某微网为参考系统,分别设置了3个典型场景,分析了在并网条件下微网加入冷热电联供系统后对优化目标结果的影响。采用多代理混沌粒子群算法,求得3个典型场景下的最优解。通过对比分析,验证了所提方法的可靠性。

并网风光发电中混合储能系统容量优化配置

提高并网风光发电系统的调度灵活性需要引入储能技术,而储能技术研究的首要关键技术问题就是储能系统的容量配置。利用蓄电池和超级电容器的互补特性,提出了一种以优化蓄电池工作状态为原则,以提高储能系统整体经济性为目标的能量管理策略。基于该能量管理策略分析了并网风光发电系统能量损失率和能量缺失率的计算流程,根据全生命周期费用理论,建立了储能装置的年均费用函数表达式,并建立了以该函数值最小为目标,以系统能量损失率及能量缺失率等运行指标为约束的储能容量优化配置模型。运用改进混沌优化算法对实例进行了计算,验证了该优化模型与算法的正确性和有效性。

换电站与电网协调的多目标双层实时充放电调度方法

大规模电动汽车无序充电会对电网安全经济运行及换电站经济运营产生严重的负面影响。计及未入网电动汽车充换电预测,考虑电力网络运行、大规模电动汽车用户充换电需求等约束,建立了换电站与电网协调的多目标双层实时充放电调度模型,其中上层模型以电网负荷波动最小和上下层调度偏差最小为目标,由上层调度机构安排各换电站实时充放电计划;下层以各充放电装置响应上层计划为目标,同时满足用户充换电需求,将大规模混合整数非线性规划问题转化为非线性多目标规划问题和大规模混合整数线性规划问题。采用基于Zaslavskii混沌映射的改进NSGA-Ⅱ和YALMIP/CPLEX求解方式对上下层问题分别进行迭代求解滚动优化。以IEEE 30节点系统为例,验证了所构建模型的正确性和有效性。