CAJ | 학술논문

针对同步发电机励磁控制问题，提出能量稳定控制方法。用端电压、角速度和有功功率构建Lyapunov函数，将系统的稳定性与其动、静态性能联系起来。为确保Lyapunov函数导数的负定性，主动构建完全能控系统，并通过非线性励磁反馈，设计系统微分运动轨迹。在此基础上，运用矩阵理论、极点配置原理和Lyapunov定理，判定Lyapunov函数导数的负定性，确保系统在平衡点具有大范围渐近稳定性。由于端电压偏差与系统的大范围渐近稳定性相辅相成，因此提出的非线性励磁控制方法能在确保同步发电机端电压调节特性的同时，使系统具有大范围渐近稳定性。最后，进行数值仿真，与已有控制方案进行比较，证实了所提方法的有效性。
침대동보발전궤려자공제문제，제출능량은정공제방법。용단전압、각속도화유공공솔구건Lyapunov함수，장계통적은정성여기동、정태성능련계기래。위학보Lyapunov함수도수적부정성，주동구건완전능공계통，병통과비선성려자반궤，설계계통미분운동궤적。재차기출상，운용구진이론、겁점배치원리화Lyapunov정리，판정Lyapunov함수도수적부정성，학보계통재평형점구유대범위점근은정성。유우단전압편차여계통적대범위점근은정성상보상성，인차제출적비선성려자공제방법능재학보동보발전궤단전압조절특성적동시，사계통구유대범위점근은정성。최후，진행수치방진，여이유공제방안진행비교，증실료소제방법적유효성。
In this paper, energy stability control (ESC) was proposed for the excitation control system of the synchronous generator unit. Lyapunov function was constructed to describe the relationship of terminal voltage, rotor speed and active power with the system stability. In order to ensure the negative definiteness of the derivative of Lyapunov function, a completely controllable system was actively constructed to design the moving trajectory of the system altogether with nonlinear excitation feedback. Matrix theory, pole arrangement method and Lyapunov theorem were used so that the derivative of Lyapunov function can be negative definite for any real number except for equilibrium point and the global asymptotic stability of the system can be ensured. At the same time, terminal voltage regulation can be realized because of the energy relationship between terminal voltage and system global asymptotic stability. Simulations demonstrate the effectiveness of the ESC in comparison with the existing control approach.