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水电站多机引水系统复杂供水方式下产生的水力耦合现象导致各机组交互作用,其对电站整体动态特性及调速系统参数整定具有重要影响。相对增益阵列(relative gain array,RGA)是多变量控制系统中各控制变量间交互影响的通用分析方法。该文针对水电站多机水力耦合系统各机组调速控制回路间的交互影响,采用RGA方法对其进行了定量分析。通过建立水电站多机耦合系统整体状态方程,求解系统各调速控制回路间的频域RGA矩阵,揭示了多机耦合系统机组间交互程度在频域内的变化规律,并分析了调压室、岔管等水力系统参数对这种交互的影响。系统时域仿真结果表明了RGA分析方法的可行性及有效性,其分析结果可为水电站多机协调控制策略设计提供依据。
The hydraulic coupling phenomenon caused by the complicated water supply of multi-machine water diversion system in hydropower station leads to the interaction between various units, which has an important influence on the overall dynamic characteristics of the power station and the parameter tuning of the speed governing system. Relative gain array (RGA) is a general analysis method for interaction between control variables in a multivariable control system. In this paper, according to the interaction between speed control loop of each unit of hydropower station multi-machine hydraulic coupling system, RGA method is used to quantitatively analyze the interaction. By establishing the global state equation of multi-machine coupling system of hydropower station, the frequency-domain RGA matrix of each speed control loop of the system is solved, and the variation regularity of multi-machine coupling system in frequency domain is revealed. The influence of hydraulic system parameters such as pipe on this interaction. The system time domain simulation results show the feasibility and effectiveness of the RGA analysis method. The results of the analysis can provide the basis for the design of multi-machine coordinated control strategy of hydropower station.