Multi-train modeling and simulation plays a vital role in railway electrification during operation and planning phase. Study of peak power demand and energy consumed by each traction substation needs to be deter- mine...Multi-train modeling and simulation plays a vital role in railway electrification during operation and planning phase. Study of peak power demand and energy consumed by each traction substation needs to be deter- mined to verify that electrical energy flowing in its railway power feeding system is appropriate or not. Gauss-Seidel, conventional Newton-Raphson, and current injection methods are well-known and widely accepted as a tool for electrical power network solver in DC railway power supply study. In this paper, a simplified Newton-Raphson method has been proposed. The proposed method employs a set of current-balance equations at each electrical node instead of the conventional power-balance equation used in the conventional Newton-Raphson method. This concept can remarkably reduce execution time and computing complexity for multi-train simulation. To evaluate its use, Sukhumvit line of Bangkok transit system （BTS） of Thai- land with 21.6-km line length and 22 passenger stopping stations is set as a test system. The multi-train simulation integrated with the proposed power network solver is developed to simulate 1-h operation service of selected 5-min headway. From the obtained results, the proposed method is more efficient with approximately 18 % faster than the conventional Newton-Raphson method and just over 6 % faster than the current injection method.展开更多
给出了一种不发散的大规模交直流系统潮流计算的实用化模型。通过在交直流潮流方程组引入一组松弛量,将常规的潮流计算转换为松弛量平方和最小的非线性规划模型。在该模型中引入不等式约束以反映运行约束及直流控制方式。采用内点法求...给出了一种不发散的大规模交直流系统潮流计算的实用化模型。通过在交直流潮流方程组引入一组松弛量,将常规的潮流计算转换为松弛量平方和最小的非线性规划模型。在该模型中引入不等式约束以反映运行约束及直流控制方式。采用内点法求解该模型,减少修正方程的维数,使之与牛顿–拉夫逊潮流计算修正方程具有完全相同的维数,而且修正方程的系数矩阵具有对称正定特性。采用近似最小度(approximate minimum degree,AMD)算法与改进平方根分解法来求解修正方程以提高程序计算速度。该模型具有如下特点:无需特殊的初值计算环节;能够适应具有大量小阻抗与负阻抗支路的系统;在潮流有解、潮流无解、可行域边界附近具有良好的、一致的收敛性。在6891节点含8回高压直流输电(high voltage direct current,HVDC)线路的测试系统的潮流计算中验证了所提算法的有效性和高效性。展开更多
相比传统高压直流输电HVDC(high voltage direct arrent),基于电压源换流器的高压直流输电VSC-HVDC(voltage source converter based HVDC)具有较多独特优势,是智能电网发展具有代表性的关键技术之一。首先,基于VSC-HVDC稳态模型的标幺...相比传统高压直流输电HVDC(high voltage direct arrent),基于电压源换流器的高压直流输电VSC-HVDC(voltage source converter based HVDC)具有较多独特优势,是智能电网发展具有代表性的关键技术之一。首先,基于VSC-HVDC稳态模型的标幺制处理分析了VSC-HVDC的稳态方程,并给出了适用于求解含VSC-HVDC的交直流系统潮流的统一法迭代形式;进而,通过计算预估值和校正值2个步骤,利用具有2.414阶次收敛速率的改进牛顿-拉夫逊法修正交直流系统的雅可比矩阵,以节省程序迭代过程中的数据存储空间,加快程序执行调用的速度,从而提高雅可比矩阵的计算速率。最后,基于修改后的IEEE标准算例,从交直流潮流结果、控制方式、算法效率等方面的对比分析,验证了该方法求解含VSC-HVDC的交直流系统潮流的有效性和正确性。展开更多
文摘Multi-train modeling and simulation plays a vital role in railway electrification during operation and planning phase. Study of peak power demand and energy consumed by each traction substation needs to be deter- mined to verify that electrical energy flowing in its railway power feeding system is appropriate or not. Gauss-Seidel, conventional Newton-Raphson, and current injection methods are well-known and widely accepted as a tool for electrical power network solver in DC railway power supply study. In this paper, a simplified Newton-Raphson method has been proposed. The proposed method employs a set of current-balance equations at each electrical node instead of the conventional power-balance equation used in the conventional Newton-Raphson method. This concept can remarkably reduce execution time and computing complexity for multi-train simulation. To evaluate its use, Sukhumvit line of Bangkok transit system （BTS） of Thai- land with 21.6-km line length and 22 passenger stopping stations is set as a test system. The multi-train simulation integrated with the proposed power network solver is developed to simulate 1-h operation service of selected 5-min headway. From the obtained results, the proposed method is more efficient with approximately 18 % faster than the conventional Newton-Raphson method and just over 6 % faster than the current injection method.
文摘给出了一种不发散的大规模交直流系统潮流计算的实用化模型。通过在交直流潮流方程组引入一组松弛量,将常规的潮流计算转换为松弛量平方和最小的非线性规划模型。在该模型中引入不等式约束以反映运行约束及直流控制方式。采用内点法求解该模型,减少修正方程的维数,使之与牛顿–拉夫逊潮流计算修正方程具有完全相同的维数,而且修正方程的系数矩阵具有对称正定特性。采用近似最小度(approximate minimum degree,AMD)算法与改进平方根分解法来求解修正方程以提高程序计算速度。该模型具有如下特点:无需特殊的初值计算环节;能够适应具有大量小阻抗与负阻抗支路的系统;在潮流有解、潮流无解、可行域边界附近具有良好的、一致的收敛性。在6891节点含8回高压直流输电(high voltage direct current,HVDC)线路的测试系统的潮流计算中验证了所提算法的有效性和高效性。
文摘相比传统高压直流输电HVDC(high voltage direct arrent),基于电压源换流器的高压直流输电VSC-HVDC(voltage source converter based HVDC)具有较多独特优势,是智能电网发展具有代表性的关键技术之一。首先,基于VSC-HVDC稳态模型的标幺制处理分析了VSC-HVDC的稳态方程,并给出了适用于求解含VSC-HVDC的交直流系统潮流的统一法迭代形式;进而,通过计算预估值和校正值2个步骤,利用具有2.414阶次收敛速率的改进牛顿-拉夫逊法修正交直流系统的雅可比矩阵,以节省程序迭代过程中的数据存储空间,加快程序执行调用的速度,从而提高雅可比矩阵的计算速率。最后,基于修改后的IEEE标准算例,从交直流潮流结果、控制方式、算法效率等方面的对比分析,验证了该方法求解含VSC-HVDC的交直流系统潮流的有效性和正确性。
