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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,要求液力透平性能预测有较高的准确度。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。结果表明本文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: With the deepening of energy conservation and emission reduction, many companies use PAT to utilize the pressure energy of high-pressure liquids generated during production processes. The flow characteristics of pump operation differ significantly from those of PAT operation, leading to distinct performance parameters between the two operations. It is necessary to predict the performance of PAT during selection. In order to ensure the smooth operation of PAT, high precision of performance prediction is required. For this purpose, a performance prediction method based on the matching principle has been proposed for multiple centrifugal pumps operating in reverse as turbines. The method matched the performance of the impeller with that of the guide vane, thereby obtaining the performance parameters of the best efficiency point. The method introduced dimensionless flow and pressure coefficients for centrifugal pumps. Combining these two coefficients, velocity triangles, velocity formulas and Euler’s equation, the dimensionless characteristic equations for the guide vanes and impellers were derived. Based on matching principles, these dimensionless characteristic equations of the guide vanes and impellers were simultaneously solved to obtain coordinate equations of the matching operating points. The best efficiency point of PAT was achieved when operating at matching operating points. Consequently, formulas for flow rate and head of best efficiency points were derived through the coordinate equations of the matching operating points. In order to verify the accuracy of the performance prediction method, guide vane multiple centrifugal pumps with models DG80-85×4 and D155-67×5 were selected for PAT experiments. Flow rates and heads of the best efficiency points of two pumps under PAT condition were obtained by these experiments. The predicted results are compared with the experimental results and the error values of flow rates and heads are obtained respectively. The error values of DG80-85×4 are -3.9% and -1.1%, and the error values of D155-67×5 are 0.5% and 0.5%, respectively. The error values are within the permissible range of engineering tolerances. This shows that the method can be used to predict the performance of PAT. Subsequently, existing prediction methods were employed to predict the performance of these two PAT, and their error values were computed. A comparison between the prediction error values of existing methods and those of the proposed method. The result shows that the error values of the prediction method in this paper are minimal, indicating that the prediction method has a great accuracy. The performance parameter equations in this prediction method solely incorporates the geometric parameters of multiple centrifugal pumps, which are not affected by the specific speed or pump performance parameters during use. The method can be made only by obtaining the geometric parameters of multiple centrifugal pumps, which has broad applicability. This prediction method provides valuable guidance for both experimental design and engineering applications involving guide vane multiple centrifugal pumps operating in turbine mode.

     

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