基于匹配关系的导叶式多级PAT的流量和压头预测

    Flow rate and head prediction of guide vane multiple centrifugal pump as turbine based on matching relationship

    • 摘要: 为保证导叶式多级离心泵反转作液力透平正常运行,液力透平性能预测需有较高的准确度。该研究利用导叶式多级离心泵叶轮和导叶的匹配原理,引入离心泵无量纲流量系数和扬程(压头)系数,建立叶轮和导叶的无量纲特性方程,推导出匹配工况点坐标方程。由匹配工况点坐标方程推导可得泵工况和液力透平工况最优工况点性能参数预测公式。该性能预测方法仅需已知叶轮和导叶的几何参数,即可对导叶式多级泵反转作液力透平进行预测。为了验证所提出的性能预测方法的准确性,选用型号为DG80-85×4和D155-67×5的导叶式多级离心泵进行试验,预测结果与试验结果之间的流量误差分别为−3.9%、0.5%,压头误差分别为−1.1%、0.5%,误差均在工程允许的范围内。结果表明该研究提出的性能预测方法对导叶式多级离心泵作液力透平时的性能参数的预测有效。该性能预测方法不受比转速和性能参数影响,通用性强,对导叶式多级离心泵反转作透平的试验设计和工程应用均具有指导意义。

       

      Abstract: Pump as turbine (PAT) has been widely used to generate the pressure energy of the high-pressure liquids during production. The flow characteristics of the pump can differ greatly from the PAT for energy conservation and emission reduction. There are distinct performance parameters between them. It is also necessary to accurately predict the performance of the PAT during optimization. In this study, the matching relationship was proposed to predict the PAT performance for the multiple centrifugal pumps in reverse as turbines. The performance of the impeller was matched with the guide vane. Thereby, the performance parameters were obtained for the best efficiency point. The dimensionless flow and pressure coefficients were introduced for the centrifugal pumps. The discharge-head relationship equations were derived from the dimensionless characteristic equations for the guide vanes and the impellers, according to the velocity triangles, velocity, and Euler’s equation. The coordinate equations of the matching operating points were then solved using the matching relationship. The peak efficiency of the PAT was achieved when operating at matching operating points. Consequently, the flow rate and head of the best efficiency points were derived via the coordinate equations of the matching operating points. A series of PAT experiments was carried out to verify the accuracy of the performance prediction. Guide vane multiple centrifugal pumps were selected with the DG80-85×4 and D155-67×5 models. Flow rates and heads of the best efficiency points were obtained for the two pumps under PAT conditions after experiments. A comparison was also made on the experimental errors of the flow rates and heads. Among them, the error values of DG80-85×4 were -3.9% and -1.1%, respectively, while the error values of D155-67×5 were 0.5% and 0.5%, respectively. The error values were within the permissible range of the engineering tolerances. The better performance of the PAT was predicted after optimization. Subsequently, the existing prediction was employed to predict the performance of the two PAT with their error values. A comparison was also made on the prediction error values between the existing and the proposed methods. The minimal errors of the prediction were achieved with high accuracy. The equations of the performance were incorporated with the geometric parameters of the multiple centrifugal pumps without considering the specific speed or pump performance parameters during use. The broad generation was also obtained for the geometric parameters. This finding can provide valuable guidance for the experimental and engineering applications of the guide vane multiple centrifugal pumps in the turbine mode.

       

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