基于拟广义哈密顿系统的随机电力系统可靠度最大化控制

Control of stochastic power system reliability maximization based on quasi-generalized Hamiltonian system

随着电力系统中随机因素的增多,研究随机因素作用下的电力系统控制十分必要。建立了励磁控制下简单随机电力系统的拟广义哈密顿系统方程,基于拟广义哈密顿系统的随机平均法,获得受控情况下基于能量函数的简单随机电力系统的平均伊藤方程,根据Bellman随机动态规划原理,以系统有界波动的可靠度最大为控制目标建立动态规划方程,得到系统的最优控制律。引入条件可靠性函数衡量有界波动可靠度,以解析的方法计算最优控制律下系统的可靠度,并与蒙特卡洛解进行对比,仿真结果验证了所提控制方法的有效性。

The research of power system control affected by the increasing stochastic factors of power system becomes more necessary. The quasi-generalized Hamihonian system functions of simple stochastic power system with excitation control are built. The stochastic average method of quasi-generalized Hamiltonian system is applied to obtain the average It6 functions of the controlled simple stochastic power system based on the energy functions. According to the Bellman stochastic dynamic programming theory,a dynamic programming equation is established with the maximum reliability of the bounded fluctuation region as its control objective to obtain the optimal control law of system. A conditional reliability function is introduced to measure the reliability of bounded fluctuation region. Analytical method is applied to calculate the system reliability under the optimal control law and it is compared with the result of Monte Carlo method. Simulative results verify the effectiveness of the proposed control method.