探索风渗透对电力系统平衡的影响：一种数值连续方法
Exploring the Impact of Wind Penetration on Power System Equilibrium Using a Numerical Continuation Approach
AI总结：
本文研究风渗透增加对传统电力系统平衡特性的影响，采用参数连续方法计算所有可能解，揭示风渗透限制和电压幅值设定对系统平衡的影响。
摘要：
本文研究风渗透增加对传统电力系统平衡特性的影响。首先推导了包含同步发电机、负载和风力发电厂的微分代数模型，其中风力发电厂由风力机和双馈感应发电机（DFIG）建模。这三个组件通过非线性潮流方程耦合。与传统迭代方法相比，本文采用参数连续方法计算所有可能解。该方法在多个风渗透水平下以更少计算量求解潮流方程，而非逐个求解。观察到，根据渗透限制和风 bus 电压幅值设定，系统可能表现出多种不希望甚至不稳定的平衡点。通过详细模拟包含风注入的5机电力系统模型，展示这些结果，并突出解对小信号稳定性评估的帮助。
英文摘要：
In this paper we investigate how the equilibrium characteristics of conventional power systems may change with an increase in wind penetration. We first derive a differential-algebraic model of a power system network consisting of synchronous generators, loads and a wind power plant modeled by a wind turbine and a doubly-fed induction generator (DFIG). The models of these three components are coupled via nonlinear power flow equations. In contrast to the traditional approach for solving the power flows via iterative methods that often lead to only local solutions, we apply a recently developed parameter-homotopy based numerical continuation algorithm to compute all possible solutions. The method solves the power flow equations over multiple values of the wind penetration level with far less computational effort instead of solving them at each value individually. We observe that depending on the penetration limit and the setpoint value for the magnitude of the wind bus voltage, the system may exhibit several undesired or even unstable equilibria. We illustrate these results through a detailed simulation of a 5-machine power system model with wind injection, and highlight how the solutions may be helpful for small-signal stability assessment.
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