基于精细积分法的HVDC模型的求解

Solution of HVDC Model Based on Precise Integration Method

基于已经建立的高压直流(High Voltage Direct Current,HVDC)输电系统的数学模型,首先将各个元件利用全微分方程建立数学模型,整个直流输电系统模型分为主设备模型和控制系统模型,由于研究求解的是稳态情况下数值计算方法,所以只需要建立主设备模型,建立好模型后将整个主设备模型列写成一个微分方程,微分方程的求解过程即是系统稳态过程的求解。将精细积分法用到对状态方程的求解中,理论和实际仿真结果表明,该算法精度高且计算速度快。通过一个单极12脉波HVDC系统在稳态运行的状态下,整流侧和逆变侧电压、电流的变化,经过与PSCAD仿真算法相比较,证明了算法的正确性与有效性。

HVDC（High Voltage Direct Current,HVDC）transmission system has been established based on the mathematical model,first of all components using differential equations to establish the mathematical model,the model of HVDC main equipment model and control system model,the research is to solve the steady state numerical calculation method we only need to establish the main equipment model and set up the model of the main equipment model as a process of solving differential equations,differential equations is solved the steady-state process.The precise integration method is used to solve the state equations,theoretical and practical simulation results show that the algorithm has high accuracy and fast calculation speed.Through a unipolar 12 pulse HVDC system under steady state operation,the rectifier side and inverter side voltage and current changes,and compared with the PSCAD simulation algorithm to prove the correctness and effectiveness of the algorithm.