输电塔-线体系风致响应的鲁棒半主动控制

Wind-induced Response Suppression of Transmission TowerLine System Using a Robust and Semi-active Controller

为了抑制输电塔-线体系的风致动力响应,基于多目标优化理论设计了鲁棒H2/H∞控制器.在体系平面内、外振动状态方程的摄动矩阵中引入不确定性,运用MATLAB中的线性矩阵不等式工具箱并结合改进的限幅最优(MCO)控制器提出了H2/H∞_M CO半主动控制策略.以某特高压猫头型输电塔-线体系为算例,分别计算了其在无控制、被动控制、恒定增量(CI)半主动控制及H2/H∞_M CO半主动控制下的风致响应.结果表明:H2/H∞_M CO策略对塔体位移、塔体加速度和塔底内力的抑制效果比无控制、被动控制及CI控制的抑制效果都要显著.

The robust H2/ H∞controller designed by multi-objective optimization theory was applied to suppress the wind-induced dynamic response（ WIDR） of the transmission tower-line system（ TTLS）. The uncertain parameters（ mass,damping and stiffness） were introduced into perturbed matrixes in vibration（ both in-plane and out-plane of the TTLS） state equations,and the H2/ H∞_MCO semi-active control strategy was proposed by the linear matrix inequalities（ LMI）tool box in the MATLAB and modified clipped-optimal（ MCO） control algorithm. An cat ＇s head-type TTLS with ultra high voltage was used as an example,and the WIDRs of the example under non-control（ NC）,passive control（ PC）,constant increment（ CI） semi-active control and H2/ H∞_MCO semi-active control were computed,respectively. The consequences indicate that the vibration suppression effects of the H2/ H∞MCO on tower displacements,tower accelerations and tower bottom internal forces（ shear forces and bending moments） are obviously superior to those of NC,PC and CI.