电力系统稳定器设计的广义相位补偿法

Generalized phase compensation method for power system stabilizer design

针对经典相位补偿法理论背景不完善、无法应用于多机系统的问题,从代数学的角度提出简单的特征值实部表达式,应用该式从新的角度分析单机无穷大系统中出现负阻尼现象的原因,解释了电力系统稳定器抑制振荡的机理.将该式推广至多机系统,导出适用于多机系统的稳定判据,该判据可以用于稳定器相位补偿参数设计和PSS选址.稳定器增益整定问题被转化为一个只包含少数变量和约束条件的多项式优化问题,介绍2种不同的方法进行求解.通过4个典型系统的算例分析,验证了该方法的可行性和正确性.

A simple eigenvalue representation was introduced from algebraic point of view in order to remedy the deficiencies of traditional phase compensation method which is lack of theoretical background and inapplicable to multi-machine systems.Then the celebrated phase compensation principle in the single-machine infinite bus system was justified and the mechanism how PSS suppresses system oscillation was explained.A stability criterion of multi-machine systems was presented,which can be used to find compensation angle for machines and solve the PSS siting problem.The problem of gain coordination was reduced to a polynomial optimization problem with only several variables and constraints,and it was solved by two different methods.Simulations of four different systems were described.Results show that the suggested method is both feasible and correct.