金沙江下游梯级水库联合优化调度模型预测控制方案研究

Model predictive control scheme for joint operation of cascade reservoirs in the downstream Jinshajiang River

  • 摘要: 引入模型预测控制(Model Predictive Control,MPC)方法,构建了金沙江下游梯级水库联合优化调度MPC方案,以预见期内发电量最大为目标,采用动态规划逐次逼近算法在闭环中推求最优解,在开环的MPC中执行最优决策。结合系统性和随机性误差特征设置5个预报精度组别进行敏感性分析,开展梯级水库供水期、防洪主汛期、蓄水期全年过程预报调度,并与现有的联合调度方案进行比较。结果表明:①当预报误差越小或预见期越长时,梯级水库的发电量越大;②与联合调度方案相比,3 d预见期计算方差组的MPC方案的弃水量减小了52.1亿m3(− 9.1%),发电量增加了29.6亿kWh(+1.5%);③MPC方案在年内不同时期具有时段差异化特征,其中防洪主汛期和蓄水期的发电量提升明显、蓄水期的弃水量减幅最大。MPC方案具有控制效果好、鲁棒性强等优点,为水库群实施滚动“预报—调度—决策”提供了一条新的技术途径。

     

    Abstract: This study introduces a Model Predictive Control (MPC) method to construct a MPC scheme for joint optimal operation of cascade reservoirs.in the downstream Jinshajiang River. The successive approximation dynamic programming algorithm is used to search the optimal solution within a closed-loop with the objective of maximizing power generation over a forecast period, and subsequently executes optimal decisions in open-loop MPC scheme. Five forecast accuracy scenarios are configured for sensitive analysis by synthesizing systematic and random error characteristics, the forecasting and operating of the cascade reservoirs are simulated across a complete hydrological year, i.e., water supply, main flood prevention, and impoundment periods, and compares with current joint operation scheme. Results demonstrate that: ① Smaller forecast errors or longer forecast horizons lead to higher total hydropower generation of cascade reservoirs. ② Compared with the joint operation scheme, the MPC scheme with a 3-day forecasting error variance can significantly reduce water spillage by 5.21 billion m3 (−9.1%) and increase power generation by 2.96 billion kWh (+1.5%). ③ The MPC scheme exhibits profound intra-annual adaptability, which generates more power during the main flood prevention and impoundment periods while reduces spillway discharge during the refill period. The proposed MPC scheme features favorable control performance and strong robustness, and provides a new technical approach for implementing rolling "forecasting—operating—decision-making" for reservoir groups.

     

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