A dimensional analysis for determining optimal discharge and penstock diameter in impulse and reaction water turbines

RENEWABLE ENERGY

卷:71

Article

Leon, A. S.¹  Zhu, L.² 

[1] Oregon State Univ, Sch Civil & Construct Engn, Corvallis, OR 97331 USA

[2] Louisiana State Univ, Dept Civil & Environm Engn, Baton Rouge, LA 70803 USA

关键词: Dimensional analysis;    Hydropower;    Impulse turbine;    Optimal flow;    Optimal penstock diameter;    Reaction turbine;   

DOI  :  10.1016/j.renene.2014.06.024

来源: Elsevier

【 摘 要 】

This paper presents a dimensional analysis for determining optimal flow discharge and optimal penstock diameter when designing impulse and reaction turbines for hydropower systems. The aim of this analysis is to provide general insights for minimizing water consumption when producing hydropower. This analysis is based on the geometric and hydraulic characteristics of the penstock, the total hydraulic head and the desired power production. As part of this analysis, various dimensionless relationships between power production, flow discharge and head losses were derived. These relationships were used to withdraw general insights on determining optimal flow discharge and optimal penstock diameter. For instance, it was found that for minimizing water consumption, the ratio of head loss to gross head should not exceed about 15%. Two examples of application are presented to illustrate the procedure for determining optimal flow discharge and optimal penstock diameter for impulse and reaction turbines. (C) 2014 Elsevier Ltd. All rights reserved.

【 授权许可】

Free