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A novel comparison of gauss-seidel and newton- raphson methods for load flow analysis

机译:高斯-赛德尔和牛顿-拉夫森法在潮流分析中的新颖比较

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All over the world, several methods of power flow analysis are used, namely Gauss-Seidel, Newton Raphson, Fast Decoupled Load Flow methods because power flow analysis is a critical factor for proper planning of power generating scheduling economically and calculation of power loss, bus voltage, angle. In this work, an operational comparison between Gauss-Seidel and Newton Raphson method is depicted using MATLAB simulation software for a 4-Bus system. By following the obtained values, it is prominent that Gauss Seidel follows the linear convergence whereas Newton Raphson exhibits the quadratic convergence. The selection of slack bus affects the Gauss-Seidel convergence adversely but for Newton-Raphson has minimal sensitivity towards this selection. While going through the simulation, it is lucid that Gauss-Seidel is comprehensible and reliable for small systems which are antithesis for Newton Raphson Method because repetitive computation of Jacobian makes it complicated.
机译:在世界范围内,使用了多种潮流分析方法,即高斯-塞德尔(Gauss-Seidel),牛顿·拉夫森(Newton Raphson)和快速解耦潮流方法,因为潮流分析是经济合理地规划发电计划和计算功率损耗,母线的关键因素。电压,角度。在这项工作中,使用MATLAB仿真软件对4总线系统进行了Gauss-Seidel和Newton Raphson方法之间的操作比较。通过跟踪获得的值,可以看出高斯·赛德尔遵循线性收敛性,而牛顿·拉夫森则表现出二次收敛性。松弛总线的选择对高斯-塞德尔收敛有不利影响,但对于牛顿-拉夫森而言,对这种选择的敏感性最小。在进行仿真时,很清楚高斯-塞德尔对于牛顿拉夫森法的对立面的小型系统是可理解的,并且可靠,因为雅各布式的重复计算使其变得复杂。

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