基于无量纲性能指标的渠系控制器参数优化

    Optimization of controller parameters based on nondimensional performance indicators for canal systems

    • 摘要: 为研究性能指标对渠系控制器参数优化的效果,该文基于无量纲性能指标,利用MATLAB程序"渠系控制仿真系统"整定了PI控制器参数,同时进行了仿真对比分析。在梳理渠系控制指标领域现有研究成果的基础上,文章首先以渠池固有参数对现有渠系性能指标进行无量纲化处理及追加,并进一步衡量各水位、流量、时间指标的相关性和代表性建立了含权重的综合指标。在程序"渠系控制仿真系统"平台上,采用实例验证法结合2个设计流量约为170 m3/s、8 m3/s的不同规模渠系进行了分析验证。结果表明:无量纲性能指标能够比较不同渠系的控制优劣,并可确定其优化目标数量级;以综合指标在E-3数量级为控制器优化目标,可同时满足各单一无量纲性能指标的优化要求,较好地均衡系统逐项动态性能;流量指标和闸门开度指标存在高耦合关系,在2个实例中其相关度分别为0.995、0.993;控制器比例系数-流量指标变化曲线存在敏感与否的分区,时间积分常数对水位指标敏感,作用曲线呈"U"型。研究提出的无量纲性能指标及综合指标可比较不同规模渠系控制系统性能,也适用于渠系的控制器参数优化设计,对中国大量的调水工程渠道运行调度及灌区渠网调控具有一定的参考价值。

       

      Abstract: Abstract: Automatic canal control plays an increasingly important role in water delivery systems, for it is effective in distributing the water resource rationally and reducing the discharge of wastewater. For the control of an open-canal system, the first issue is how to define the control performance indicator, and then the controller could be designed by pursuing the optimized value of performance indicators. The characteristics of canal systems result in the diversity and complexity of performance indicators, marked by big lag, strong nonlinearity, high coupling and multi-input multi-output (MIMO) topology. Therefore, the objective of this study was to improve the existing performance indicators and propose a general indicator reasonably and overall. We tried to demonstrate the feasibility of them by applying in 2 actual canal systems. In this paper, traditional performance indicators of canal control systems were concluded and analyzed, and some additional indicators were replenished and some of them are nondimensionalized by using the design discharge or constant depth of the control point or other inherent parameters. A set of indicators which can evaluate different canal systems were proposed by weakening the influence of canals' dimension parameters. This set was applied to 2 canal systems with different scales: The large-size canal system is 24 km long × 15 m wide × 6 m deep and the small-size canal system is 18 km long × 5-7 m wide × 2.5 m deep, and the larger is around 20 times the size of the smaller. A simulation model of canal systems' control based on MATLAB was constructed, which consisted of 7 modules: physical model establish of canal systems, steady flow state profile calculation, feedforward control module, feedback control module, gate discharge calculation, gate opening transformation and unsteady flow calculation. Among the models, energy equations and de Saint-Venant system of equations were used to compute the constant flow and unsteady flow, and the canal control system was designed which regarded flow rate as the feedforward and the water level as the feedback. Relying on the imulation model of canal systems' control, we optimized the controller parameter aimed at different nondimensional performance indicators, and conducted the comparison between each other. The simulation proved that the optimal values of indicators had high consistency in the order of magnitude with little concern to the canal scale. For example, the optimal NIAQ (nondimensional integrated absolute discharge change) of both canal systems was 10-5. So this series of indicators could be used to compare the performance of different canal systems. However, due to the different optimization effect of single indicator, pursuing the extreme of any single indicator might result in an unbalanced system. Through the analysis of genetic relationship and representativeness among the series of dimensionless performance indicators, a general indicator (GI) was given based on the water level deviation, flow rate changes and transition time with weight. And as far as we're concerned, the control performance was fit for our requirement when the value of GI was no more than 10-3 in magnitude. The simulation results showed that this aimed GI could stabilize the system and balance all dynamic performances of canal systems well compared with a signal indicator. What was more, we studied the flow and water level procedure lines the canal systems showed under different controller parameters by controlling variable. And we discussed the relationship between proportional-integral-derivative (PID) controller parameters and performance indicators. There existed an insensitive range in which the proportional gain could control the flow rate smoothly in pure proportional (P) controller (proportional gain was smaller than 4 in No.1 canal system, and smaller than 15 in No.2 canal system), and the integral time had a similar effect on water level in proportional-integral (PI) controller. Thus the optimizing method of finding a robust controller was proposed preliminarily: searching the intersection of controller parameters which worked well under different conditions. The series of non-dimensional indicators and GI proposed by this paper can be used to evaluate different canal control systems and different controllers, which can be used as benchmark while designing a new canal control system. This work suggests quite promising solution for the operation of a large number of water delivery systems and irrigation district canal networks in China.

       

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