In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u′)+∫K(x,s)ds , 0 x s < 1 subject to natural boundary co...In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u′)+∫K(x,s)ds , 0 x s < 1 subject to natural boundary conditions on a non-uniform mesh. The proposed variable mesh approximation is directly applicable to the integro-differential equation with singular coefficients. We need not require any special discretization to obtain the solution near the singular point. The convergence analysis of a difference scheme for the diffusion convection equation is briefly discussed. The presented variable mesh strategy is applicable when the internal grid points of the solution space are both even and odd in number as compared to the method discussed by authors in their previous work in which the internal grid points are strictly odd in number. The advantage of using this new variable mesh strategy is highlighted computationally.展开更多
终端变电站在城市110 k V电网中的广泛采用使得对220 k V城市电网的供电能力进行以典型网架结构为单位的解耦分析成为可能。针对220 k V城市电网中的典型网架结构—自愈式环网的供电能力问题,提出一种考虑电力系统N-1静态安全约束的非...终端变电站在城市110 k V电网中的广泛采用使得对220 k V城市电网的供电能力进行以典型网架结构为单位的解耦分析成为可能。针对220 k V城市电网中的典型网架结构—自愈式环网的供电能力问题,提出一种考虑电力系统N-1静态安全约束的非线性优化模型,并采用改进差分进化算法进行寻优;寻优过程中,使用内嵌的牛顿—拉夫逊法进行预想事故集的潮流校核。对某市220 k V自愈式环网进行算例分析的结果表明,所提模型和算法能够准确地求解其在给定条件下的最大供电能力,同时能指出受限的约束条件,具有较强的有效性和实用性。展开更多
Using a root finder procedure to obtain we use an inflaton value due to use of a scale factor if we furthermore use .?From use of the inflaton, we initiate a procedure for a minimum scale factor, which would entail th...Using a root finder procedure to obtain we use an inflaton value due to use of a scale factor if we furthermore use .?From use of the inflaton, we initiate a procedure for a minimum scale factor, which would entail the , for a sufficiently well placed frequency ω. If the Non Linear Electrodynamics procedure of Camara et al. of General relativity was used, plus the modified Heisenberg Uncertainty principle, of Beckwith, and others, i.e . we come due to a sufficiently high frequency a case for which implies a violation of the Penrose singularity theorem, i.e . this is in lieu of ?. If this is not true, i.e. that the initial , then we will likely avoid for reasons brought up in this manuscript.展开更多
文摘In this article, we report the derivation of high accuracy finite difference method based on arithmetic average discretization for the solution of Un=F(x,u,u′)+∫K(x,s)ds , 0 x s < 1 subject to natural boundary conditions on a non-uniform mesh. The proposed variable mesh approximation is directly applicable to the integro-differential equation with singular coefficients. We need not require any special discretization to obtain the solution near the singular point. The convergence analysis of a difference scheme for the diffusion convection equation is briefly discussed. The presented variable mesh strategy is applicable when the internal grid points of the solution space are both even and odd in number as compared to the method discussed by authors in their previous work in which the internal grid points are strictly odd in number. The advantage of using this new variable mesh strategy is highlighted computationally.
文摘终端变电站在城市110 k V电网中的广泛采用使得对220 k V城市电网的供电能力进行以典型网架结构为单位的解耦分析成为可能。针对220 k V城市电网中的典型网架结构—自愈式环网的供电能力问题,提出一种考虑电力系统N-1静态安全约束的非线性优化模型,并采用改进差分进化算法进行寻优;寻优过程中,使用内嵌的牛顿—拉夫逊法进行预想事故集的潮流校核。对某市220 k V自愈式环网进行算例分析的结果表明,所提模型和算法能够准确地求解其在给定条件下的最大供电能力,同时能指出受限的约束条件,具有较强的有效性和实用性。
文摘Using a root finder procedure to obtain we use an inflaton value due to use of a scale factor if we furthermore use .?From use of the inflaton, we initiate a procedure for a minimum scale factor, which would entail the , for a sufficiently well placed frequency ω. If the Non Linear Electrodynamics procedure of Camara et al. of General relativity was used, plus the modified Heisenberg Uncertainty principle, of Beckwith, and others, i.e . we come due to a sufficiently high frequency a case for which implies a violation of the Penrose singularity theorem, i.e . this is in lieu of ?. If this is not true, i.e. that the initial , then we will likely avoid for reasons brought up in this manuscript.
