基于自动微分技术的VSC-HVDC潮流计算

摘要

The introduction of voltage source converter based high voltage direct current (VSC-HVDC) causes the growth increase of power flow variables and thus increases complexity of power flow calculation. On the basis of power flow calculation of AC-DC power system with VSC-HVDC, this paper discusses a method of AC-DC power flow combining with automatic differentiation (AD) technology. Comparing with traditional methods which need to deduce differentiation expression before writing computer codes, the truncation error is avoided effectively and the coding efficiency is improved observably when Jacobian matrix of power flow equations are built automatically by using AD. The results of simulations on several IEEE test systems demonstrate the effectiveness of the proposed approach in terms of comparisons of computing time and convergence.%基于电压源换流器的高压直流输电VSC-HVDC (voltage source converter based high voltage direct current)的引入使得潮流计算的变量增加,提高了潮流编程的复杂度.文中在含VSC-HVDC交直流系统的潮流算法基础上,结合自动微分AD (automatic differentiation)技术讨论了一种应用AD技术的交直流系统潮流计算方法.该算法利用AD自动生成潮流方程的雅克比矩阵,与传统的手工推导微分解析表达式再编写相应的微分代码方法相比,减少了手写代码量,显著提高了程序的开发效率.结合多个IEEE标准算例进行了仿真,分别对运行时间和收敛效果进行了比较,验证了算法的有效性.