风电不确定性输入下电力系统仿真的区间仿射算法

Interval affine arithmetic for power system simulation under wind power uncertain input

大规模的风电机组并网改变了以同步发电机为主的传统电力系统的暂态特性,此外风电出力的随机性会影响电力系统的暂态稳定性。为此,文中提出了基于仿射算术的电力系统不确定性时域仿真算法,以考虑风电出力的波动性。在双馈风电机组机电暂态模型的基础上,扩展电力系统机电暂态模型,建立考虑双馈风电机组输入功率波动下的电力系统机电暂态仿射模型,通过隐式梯形积分法将仿射模型转化为的仿射雅克比矩阵方程迭代求解。仿真结果表明,文中所提出的仿射方法在不假设输入不确定量概率分布的情况下,能够较蒙特卡洛仿真更快地获得电力系统暂态响应的区间边界。

The large-scale wind turbine integrated into grid has changed the transient characteristics of the traditional power system dominated by synchronous generators.In addition,the random fluctuation of wind power output will affect the transient stability of the power system.Therefore,a power system time domain simulation algorithm based on affine arithmetic is proposed to consider the fluctuation of wind power output.Based on the transient model of doubly fed wind turbine(DFIG),the electromechanical transient model of power system is extended,and the electromechanical transient affine model of power system considering the input power fluctuation of DFIG is established.The affine model is transformed into an iterative Jacobian affine matrix equation by implicit trapezoidal integral method.Simulation results show that the proposed affine method can obtain the interval boundary of power system transient response faster than Monte Carlo simulation without assuming the probability distribution of input uncertainty.