From the mesoscopic point of view,a definition of soft point is introduced by considering the attributes of geometric profile and mass distribution.After that,this concept is used to develop the soft matching techniqu...From the mesoscopic point of view,a definition of soft point is introduced by considering the attributes of geometric profile and mass distribution.After that,this concept is used to develop the soft matching technique to simulate the chaotic behaviors of the equations.Especially,a tennis model with deformation factor a(t)is proposed to derive a generalized Newton-Stokes equation v′(t)=λ(v T-a(t)v(t)).Furthermore,a concept of duality of deformation factor a(t)and velocity v(t)with respect to the generalized NewtonStokes equation is established.To solve this equation,two data-driven models of a(t)are provided,one is based on the concept of soft matching,while the other is by using the amplitude modulation.Finally,the related iterative algorithm is developed to simulate the motion of the falling body via the duality of a(t)and v(t).Numerical examples successfully demonstrate the phenomenon of chaos,which consists of the continual random oscillations and sudden accelerations.Moreover,the algorithm is tested by using larger coefficients corresponding to the terminal velocity and shows more satisfactory results.It may enable us to characterize the total energy of the dynamical system more accurately.展开更多
The Regional Integrated Energy System(RIES)has brought new modes of development,utilization,conversion,storage of energy.The introduction of Soft Open Point(SOP)and the application of Power to Gas(P2G)technology will ...The Regional Integrated Energy System(RIES)has brought new modes of development,utilization,conversion,storage of energy.The introduction of Soft Open Point(SOP)and the application of Power to Gas(P2G)technology will greatly deepen the coupling of the electricity-gas integrated energy system,improve the flexibility and safety of the operation of the power system,and bring a deal of benefits to the power system.On this background,an optimal dispatch model of RIES combined cold,heat,gas and electricity with SOP is proposed.Firstly,RIES architecture with SOP and P2G is designed and its mathematical model also is built.Secondly,on the basis of considering the optimal scheduling of combined cold,heat,gas and electricity,the optimal scheduling model for RIES was established.After that,the original model is transformed into a mixed-integer second-order cone programming model by using linearization and second-order cone relaxation techniques,and the CPLEX solver is invoked to solve the optimization problem.Finally,the modified IEEE 33-bus systemis used to analyze the benefits of SOP,P2G technology and lithium bromide absorption chillers in reducing systemnetwork loss and cost,as well as improving the system’s ability to absorb wind and solar and operating safety.展开更多
In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed ...In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.展开更多
Objective: To observe the therapeutic effect of acupuncture of "Xi" (Cleft) points in treatment of soft tissue injury. Methods: 335 cases of soft tissue injury patients were divided into Cleft point group (2...Objective: To observe the therapeutic effect of acupuncture of "Xi" (Cleft) points in treatment of soft tissue injury. Methods: 335 cases of soft tissue injury patients were divided into Cleft point group (264 cases) and Ashi point group (control group, 71 cases) randomly. In Cleft point group, the 16 Cleft points were used in combination with Ahshi points. In control group, only local Ahshi points were punctured. The treatment was conducted once every day, with 5 sessions being a therapeutic course. After 2 courses of treatment, the therapeutic effect was analyzed. Results: Results showed that the therapeutic effect of cleft point group was significantly better than that of control group (P<0.05), particularly in treatment of acute soft tissue. Conclusion: Cleft point acupuncture has a better therapeutic effect in treatment of soft tissue injury in comparison with Ashi point.展开更多
In the present paper,70 cases of acute sprain of soft tissue were treated withacupuncture at pressure pain points on the lateral of the second metacarpal bone.Results showedthat the cure rate was 58.6％ and the total ...In the present paper,70 cases of acute sprain of soft tissue were treated withacupuncture at pressure pain points on the lateral of the second metacarpal bone.Results showedthat the cure rate was 58.6％ and the total effective rate was 94.3％.Also,its mechanisms werestudied preliminarily.The present therapy is simple,convenient,easy to operate and it producesrapidly desired effects with a higher cure rate,so it is suited to be popularized clinically.展开更多
该文提出一种考虑故障后多阶段恢复的智能软开关(soft open point,SOP)柔性互联配电网(flexible interconnected distribution network,FIDN)可靠性评估方法,其特征在于将基于SOP的FIDN网络拓扑状态通过优化过程的决策变量显式表达,建...该文提出一种考虑故障后多阶段恢复的智能软开关(soft open point,SOP)柔性互联配电网(flexible interconnected distribution network,FIDN)可靠性评估方法,其特征在于将基于SOP的FIDN网络拓扑状态通过优化过程的决策变量显式表达,建立面向FIDN可靠性评估的混合整数线性规划模型,从而实现FIDN可靠性评估。首先,分析FIDN多阶段恢复过程,提出一种多阶段恢复过程解耦建模的FIDN可靠性评估框架;然后,基于SOP正常运行和不同故障下的外特性,建立面向可靠性评估的SOP等效模型,构建FIDN节点-支路状态关联模型以实现网络拓扑状态显式化;之后,考虑SOP转供功率约束及短时过载能力,建立不同策略下的SOP快速转供模型;在此基础上,考虑SOP快速转供、故障点上游恢复、联络开关切换转供、孤岛运行等多阶段恢复过程,建立面向FIDN可靠性评估的混合整数线性规划模型;最后,在改进的37节点系统上验证所提方法的有效性。展开更多
The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give soft locally comp...The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give soft locally compact space and the relationships between them are discussed in detail. Finally, we define soft paracompactness and explore some of its basic properties.展开更多
Fuzzy soft topology considers only membership value.It has nothing to do with the non-membership value.So an extension was needed in this direction.Vague soft topology addresses bothmembership and non-membership value...Fuzzy soft topology considers only membership value.It has nothing to do with the non-membership value.So an extension was needed in this direction.Vague soft topology addresses bothmembership and non-membership values simultaneously.Sometimes vague soft topology(single structure)is unable to address some complex structures.So an extension to vague soft bi-topology(double structure)was needed in this direction.To make this situation more meaningful,a new concept of vague soft bi-topological space is introduced and its structural characteristics are attempted with a new definition.In this article,new concept of vague soft bi-topological space(VSBTS)is initiated and its structural behaviors are attempted.This approach is based on generalized vague soft open sets,known as vague softβopen sets.An ample of examples are given to understand the structures.For the non-validity of some results,counter examples are provided to pay the price.Pair-wise vague softβopen and pair-wise vague softβclose sets are alsoaddressedwith examples in(VSBTS).Vague soft separation axioms are initiatedin(VSBTS)concerning soft points of the space.Other separation axioms are also addressed relative to soft points of the space.Vague soft bi-topological properties are studied with the application of vague softβopen sets with respect to soft points of the spaces.The characterization of vague softβclose as well as vague softβopen sets,characteristics of Bolzano Weirstrass property,vague soft compactness and its marriage with sequences,interconnection between sequential compactness and countable compactness in(VSBTS)with respect to softβopen sets are addressed.展开更多
In this article,new generalized neutrosophic soft∗b open set is introduced in neutrosophic soft bi-topological structurers(NSBTS)concerning soft points of the space.This new set is produced by making the marriage of s...In this article,new generalized neutrosophic soft∗b open set is introduced in neutrosophic soft bi-topological structurers(NSBTS)concerning soft points of the space.This new set is produced by making the marriage of soft semi-open set with soft pre-open set in neutrosophic soft topological structure.An ample of results are investigated in NSBTS on the basis of this new neutrosophic soft∗b open set.Proper examples are settled for justification of these results.The non-validity of some results is vindicated with examples.展开更多
大规模分布式新能源接入导致新型配电系统面临“节点-网络”双重灵活性不足风险,使得规划配置智能混合储能软开关(hybrid energy storage system-soft open point,HESSSOP),实现节点型与网络型异质灵活资源协同控制,成为提升节点灵活调...大规模分布式新能源接入导致新型配电系统面临“节点-网络”双重灵活性不足风险,使得规划配置智能混合储能软开关(hybrid energy storage system-soft open point,HESSSOP),实现节点型与网络型异质灵活资源协同控制,成为提升节点灵活调节支撑和网络传输安全裕度的重要技术手段。对此,建立面向HESS-SOP融入支撑“节点-网络”双重灵活性的新型配电系统协同规划-运行模型。首先,研究SOP引入HESS组成HESS-SOP的拓扑结构和联合调节特性;然后,引入转移分布因子以线路为视角建立含HESSSOP的新型配电系统灵活性供需平衡模型,解析“节点-网络”灵活性供需平衡机理,并建立“节点-网络”双维度灵活性指标;其次,采用有功潮流灵敏度法与希尔伯特-黄变换法对HESS-SOP分别进行选址与初始参数配置,并建立考虑HESS-SOP“节点-网络”双重灵活性调控潜力的规划-运行联合优化模型,并采用混合算法进行求解;最后,基于改进的IEEE33节点系统开展算例分析。结果表明:所提出的灵活性指标能准确量化评估系统“节点-网络”双维度灵活性,所建立的考虑HESS-SOP灵活性调控潜力的规划-运行联合优化模型能有效提高配电系统运行的经济性与灵活性。展开更多
基金supported by the National Natural Science Foundation of China(Nos.12061160462,11631015)。
文摘From the mesoscopic point of view,a definition of soft point is introduced by considering the attributes of geometric profile and mass distribution.After that,this concept is used to develop the soft matching technique to simulate the chaotic behaviors of the equations.Especially,a tennis model with deformation factor a(t)is proposed to derive a generalized Newton-Stokes equation v′(t)=λ(v T-a(t)v(t)).Furthermore,a concept of duality of deformation factor a(t)and velocity v(t)with respect to the generalized NewtonStokes equation is established.To solve this equation,two data-driven models of a(t)are provided,one is based on the concept of soft matching,while the other is by using the amplitude modulation.Finally,the related iterative algorithm is developed to simulate the motion of the falling body via the duality of a(t)and v(t).Numerical examples successfully demonstrate the phenomenon of chaos,which consists of the continual random oscillations and sudden accelerations.Moreover,the algorithm is tested by using larger coefficients corresponding to the terminal velocity and shows more satisfactory results.It may enable us to characterize the total energy of the dynamical system more accurately.
基金Project Supported by National Natural Science Foundation of China(51777193).
文摘The Regional Integrated Energy System(RIES)has brought new modes of development,utilization,conversion,storage of energy.The introduction of Soft Open Point(SOP)and the application of Power to Gas(P2G)technology will greatly deepen the coupling of the electricity-gas integrated energy system,improve the flexibility and safety of the operation of the power system,and bring a deal of benefits to the power system.On this background,an optimal dispatch model of RIES combined cold,heat,gas and electricity with SOP is proposed.Firstly,RIES architecture with SOP and P2G is designed and its mathematical model also is built.Secondly,on the basis of considering the optimal scheduling of combined cold,heat,gas and electricity,the optimal scheduling model for RIES was established.After that,the original model is transformed into a mixed-integer second-order cone programming model by using linearization and second-order cone relaxation techniques,and the CPLEX solver is invoked to solve the optimization problem.Finally,the modified IEEE 33-bus systemis used to analyze the benefits of SOP,P2G technology and lithium bromide absorption chillers in reducing systemnetwork loss and cost,as well as improving the system’s ability to absorb wind and solar and operating safety.
文摘In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.
文摘Objective: To observe the therapeutic effect of acupuncture of "Xi" (Cleft) points in treatment of soft tissue injury. Methods: 335 cases of soft tissue injury patients were divided into Cleft point group (264 cases) and Ashi point group (control group, 71 cases) randomly. In Cleft point group, the 16 Cleft points were used in combination with Ahshi points. In control group, only local Ahshi points were punctured. The treatment was conducted once every day, with 5 sessions being a therapeutic course. After 2 courses of treatment, the therapeutic effect was analyzed. Results: Results showed that the therapeutic effect of cleft point group was significantly better than that of control group (P<0.05), particularly in treatment of acute soft tissue. Conclusion: Cleft point acupuncture has a better therapeutic effect in treatment of soft tissue injury in comparison with Ashi point.
文摘In the present paper,70 cases of acute sprain of soft tissue were treated withacupuncture at pressure pain points on the lateral of the second metacarpal bone.Results showedthat the cure rate was 58.6％ and the total effective rate was 94.3％.Also,its mechanisms werestudied preliminarily.The present therapy is simple,convenient,easy to operate and it producesrapidly desired effects with a higher cure rate,so it is suited to be popularized clinically.
文摘该文提出一种考虑故障后多阶段恢复的智能软开关(soft open point,SOP)柔性互联配电网(flexible interconnected distribution network,FIDN)可靠性评估方法,其特征在于将基于SOP的FIDN网络拓扑状态通过优化过程的决策变量显式表达,建立面向FIDN可靠性评估的混合整数线性规划模型,从而实现FIDN可靠性评估。首先,分析FIDN多阶段恢复过程,提出一种多阶段恢复过程解耦建模的FIDN可靠性评估框架;然后,基于SOP正常运行和不同故障下的外特性,建立面向可靠性评估的SOP等效模型,构建FIDN节点-支路状态关联模型以实现网络拓扑状态显式化;之后,考虑SOP转供功率约束及短时过载能力,建立不同策略下的SOP快速转供模型;在此基础上,考虑SOP快速转供、故障点上游恢复、联络开关切换转供、孤岛运行等多阶段恢复过程,建立面向FIDN可靠性评估的混合整数线性规划模型;最后,在改进的37节点系统上验证所提方法的有效性。
文摘The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give soft locally compact space and the relationships between them are discussed in detail. Finally, we define soft paracompactness and explore some of its basic properties.
文摘Fuzzy soft topology considers only membership value.It has nothing to do with the non-membership value.So an extension was needed in this direction.Vague soft topology addresses bothmembership and non-membership values simultaneously.Sometimes vague soft topology(single structure)is unable to address some complex structures.So an extension to vague soft bi-topology(double structure)was needed in this direction.To make this situation more meaningful,a new concept of vague soft bi-topological space is introduced and its structural characteristics are attempted with a new definition.In this article,new concept of vague soft bi-topological space(VSBTS)is initiated and its structural behaviors are attempted.This approach is based on generalized vague soft open sets,known as vague softβopen sets.An ample of examples are given to understand the structures.For the non-validity of some results,counter examples are provided to pay the price.Pair-wise vague softβopen and pair-wise vague softβclose sets are alsoaddressedwith examples in(VSBTS).Vague soft separation axioms are initiatedin(VSBTS)concerning soft points of the space.Other separation axioms are also addressed relative to soft points of the space.Vague soft bi-topological properties are studied with the application of vague softβopen sets with respect to soft points of the spaces.The characterization of vague softβclose as well as vague softβopen sets,characteristics of Bolzano Weirstrass property,vague soft compactness and its marriage with sequences,interconnection between sequential compactness and countable compactness in(VSBTS)with respect to softβopen sets are addressed.
基金The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University,Abha 61413,Saudi Arabia for funding this work through research groups program under Grant No.R.G.P-2/29/42.
文摘In this article,new generalized neutrosophic soft∗b open set is introduced in neutrosophic soft bi-topological structurers(NSBTS)concerning soft points of the space.This new set is produced by making the marriage of soft semi-open set with soft pre-open set in neutrosophic soft topological structure.An ample of results are investigated in NSBTS on the basis of this new neutrosophic soft∗b open set.Proper examples are settled for justification of these results.The non-validity of some results is vindicated with examples.
文摘大规模分布式新能源接入导致新型配电系统面临“节点-网络”双重灵活性不足风险,使得规划配置智能混合储能软开关(hybrid energy storage system-soft open point,HESSSOP),实现节点型与网络型异质灵活资源协同控制,成为提升节点灵活调节支撑和网络传输安全裕度的重要技术手段。对此,建立面向HESS-SOP融入支撑“节点-网络”双重灵活性的新型配电系统协同规划-运行模型。首先,研究SOP引入HESS组成HESS-SOP的拓扑结构和联合调节特性;然后,引入转移分布因子以线路为视角建立含HESSSOP的新型配电系统灵活性供需平衡模型,解析“节点-网络”灵活性供需平衡机理,并建立“节点-网络”双维度灵活性指标;其次,采用有功潮流灵敏度法与希尔伯特-黄变换法对HESS-SOP分别进行选址与初始参数配置,并建立考虑HESS-SOP“节点-网络”双重灵活性调控潜力的规划-运行联合优化模型,并采用混合算法进行求解;最后,基于改进的IEEE33节点系统开展算例分析。结果表明:所提出的灵活性指标能准确量化评估系统“节点-网络”双维度灵活性,所建立的考虑HESS-SOP灵活性调控潜力的规划-运行联合优化模型能有效提高配电系统运行的经济性与灵活性。
