摘要
为提高水轮机调节系统动态调节品质,建立了计入弹性水击效应的水轮机调节系统非线性模型,并据此提出一种基于改进粒子群算法的分数阶PIλDμ(fractional-order PID,FOPID)控制器设计方法。该方法以基于最优参数(b=5.387 8,d=0.752 6)的改进Oustaloup滤波算法构建FOPID控制器,并利用融合有参数自适应调整策略及基于改进Tent映射的变尺度混沌局部搜索的改进粒子群算法(improved adaptive chaos PSO,IACPSO)对FOPID控制器参数进行优化选择。仿真结果表明,与Oustaloup算法及基于推荐参数(b=10,d=9)的改进Oustaloup算法相比,基于最优参数的改进Oustaloup算法对任意阶次的分数阶微分算子均具有更高的逼近精度,更宽的理想拟合频域段;提出的IACPSO算法求解精度高、稳定性好、收敛速度快,经其优化后的FOPID控制器对负荷扰动的抑制能力要明显优于其他FOPID/PID控制器,并对系统参数变化具有较强的鲁棒性。
In order to improve the dynamic governing performance of the hydro-turbine governing system, under the nonlinear model of the system with elastic water hammer effect, this paper proposes a design method of fractional order PIλDμ （FOPID） controller by using improved particle swarm optimization algorithm. In the method, Oustloup recursive approximation based on optimal parame- ters （b=5. 387 8, d=0. 752 6） is used to realize the FOPID controller, and the best parameters of the controller are carried out by improved particle swarm optimization algorithm including adaptive parameter adjusting strategy and mutative scale chaos local search based on improved Tent map. The simulation results show that Oustloup recursive approximation based on optimal parameters has better fitting accuracy and wider band of the ideal frequency domain approximation for any order of fractional differential operator than Oustaloup and improves algorithm based on recommended parameters （b= 10, d= 9）, and the proposed IACPSO algorithm pos- sesses such advantages as high computation accuracy, strong stability and fast convergence speed. Moreover, it is found that the FOPID controller optimized by IACPSO algorithm can inhibit the load disturbance more effectively than other PID/FOPID controller, and it has stronger robustness with respect to system parameters uncertainties.
出处
《中国农村水利水电》
北大核心
2013年第11期96-101,105,共7页
China Rural Water and Hydropower
