Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate

ABSTRACT In this article, a multi‐objective comprehensive evaluation method is established by comprehensively considering the power and shaft diameter of a multistage hydraulic turbine with an ultrahigh water head and low flow rate to utilize water energy efficiently. Using this method, several sche...

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Main Authors: Zichao Zhang, Sanya Zhao, Yanpin Li
Format: Article
Language:English
Published: Wiley 2025-01-01
Series:Energy Science & Engineering
Subjects:
Online Access:https://doi.org/10.1002/ese3.2014
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author Zichao Zhang
Sanya Zhao
Yanpin Li
author_facet Zichao Zhang
Sanya Zhao
Yanpin Li
author_sort Zichao Zhang
collection DOAJ
description ABSTRACT In this article, a multi‐objective comprehensive evaluation method is established by comprehensively considering the power and shaft diameter of a multistage hydraulic turbine with an ultrahigh water head and low flow rate to utilize water energy efficiently. Using this method, several schemes for calculating the runner's geometric parameters are attained through the scheme design of different maximum numbers of stages and rotational speeds under different operating conditions of water pressure and flow rate. The reasonable schemes are determined by the maximum value in the intersection of runner diameter value ranges, the blade inlet angle β1 ≥ 12° and the blade inlet flow angle α1 ≥ 6°. Based on the multi‐objective function of water energy utilization considering the comprehensive performance of the runner diameter and power, the design parameters and design stage numbers of the multistage hydraulic turbine with the optimal comprehensive performance of power and shaft diameter are obtained. This method is recommended for the design of ultra‐low specific speed multistage hydraulic turbines with a specific speed of less than 50.
format Article
id doaj-art-0326c64b001642da89ad87ac87eccf5e
institution Kabale University
issn 2050-0505
language English
publishDate 2025-01-01
publisher Wiley
record_format Article
series Energy Science & Engineering
spelling doaj-art-0326c64b001642da89ad87ac87eccf5e2025-01-21T11:38:25ZengWileyEnergy Science & Engineering2050-05052025-01-0113143445110.1002/ese3.2014Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow RateZichao Zhang0Sanya Zhao1Yanpin Li2Engineering Training Center North China University of Water Resources and Electric Power Zhengzhou Henan ChinaHenan Fluid Machinery Engineering Technology Research Center North China University of Water Resources and Electric Power Zhengzhou Henan ChinaHenan Fluid Machinery Engineering Technology Research Center North China University of Water Resources and Electric Power Zhengzhou Henan ChinaABSTRACT In this article, a multi‐objective comprehensive evaluation method is established by comprehensively considering the power and shaft diameter of a multistage hydraulic turbine with an ultrahigh water head and low flow rate to utilize water energy efficiently. Using this method, several schemes for calculating the runner's geometric parameters are attained through the scheme design of different maximum numbers of stages and rotational speeds under different operating conditions of water pressure and flow rate. The reasonable schemes are determined by the maximum value in the intersection of runner diameter value ranges, the blade inlet angle β1 ≥ 12° and the blade inlet flow angle α1 ≥ 6°. Based on the multi‐objective function of water energy utilization considering the comprehensive performance of the runner diameter and power, the design parameters and design stage numbers of the multistage hydraulic turbine with the optimal comprehensive performance of power and shaft diameter are obtained. This method is recommended for the design of ultra‐low specific speed multistage hydraulic turbines with a specific speed of less than 50.https://doi.org/10.1002/ese3.2014design stage numberevaluation method for water‐energy‐efficient utilizationmulti‐objective functionmultistage hydraulic turbinerunner parameters
spellingShingle Zichao Zhang
Sanya Zhao
Yanpin Li
Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate
Energy Science & Engineering
design stage number
evaluation method for water‐energy‐efficient utilization
multi‐objective function
multistage hydraulic turbine
runner parameters
title Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate
title_full Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate
title_fullStr Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate
title_full_unstemmed Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate
title_short Multi‐Objective Evaluation Method for Efficient Water Energy Utilization in Multistage Hydraulic Turbines With Ultrahigh Water Head and Low Flow Rate
title_sort multi objective evaluation method for efficient water energy utilization in multistage hydraulic turbines with ultrahigh water head and low flow rate
topic design stage number
evaluation method for water‐energy‐efficient utilization
multi‐objective function
multistage hydraulic turbine
runner parameters
url https://doi.org/10.1002/ese3.2014
work_keys_str_mv AT zichaozhang multiobjectiveevaluationmethodforefficientwaterenergyutilizationinmultistagehydraulicturbineswithultrahighwaterheadandlowflowrate
AT sanyazhao multiobjectiveevaluationmethodforefficientwaterenergyutilizationinmultistagehydraulicturbineswithultrahighwaterheadandlowflowrate
AT yanpinli multiobjectiveevaluationmethodforefficientwaterenergyutilizationinmultistagehydraulicturbineswithultrahighwaterheadandlowflowrate