考虑电抗器支路电阻影响时的TCSC稳定运行区域内的双解现象

基波阻抗和触发角的关系是可控串补(TCSC)底层触发控制的关键所在。该文建立了恒流源下的考虑晶闸管导通压降和电抗器上所带电阻影响的TCSC的数学模型，进行了严密的数学推导，得出以线路电流同步时的触发角和导通角的隐式关系式，并应用数值方法求解该表达式，最终得出基波阻抗和触发角的关系曲线；发现了在TCSC的大部分稳定运行区域内，对应于同一触发角存在2个理论上的稳态解。当晶闸管导通压降和电抗器上所带电阻较大时，这2个稳态解都可以出现在工程中，尤其是出现在开发阶段的小容量模拟实验和动模实验中，从而为实际工程的开发和底层控制策略的设计提供了有力的理论依据。最后运用仿真手段和动模实测数据验证了文中提出的理论。

DUAL SOLUTIONS PHENOMENON OF TCSC IN STEADY OPERATION AREA CONSIDERING RESISTANCE INFLUENCE OF REACTOR BRANCH

The relationship of the fundamental-frequency impedance and the firing angle is the key factor in firing control of TCSC. Based on the mathematical model of TCSC, in which constant current resource is applied and the resistance effects of reactor and thyristor valves are considered, the expression between the firing angle synchronized by line current and the conduction angle is ascertained and solved using numerical method. Dual solutions in a steady state for one firing angle are also obtained in a majority of steady operation area of TCSC. When the conduction voltage of the thyristor valve and the resistance of reactor are great enough, the dual solutions can both appear in real world, especially in the little capacity simulation experiment and dynamic simulation experiment. So this paper provides strong theoretical basis for engineering exploitation and bottom control design of TCSC. At last, the theory put forward in this paper is validated by digital simulation and the data of dynamic simulation experiment.