Francis trubines are widely uses in hydroelectric power plants to convert water energiy into electrical energiy. Calculating thee power extracted by these contrines applined believes competines conforming sestral key parametrs and applig specific formulas. This article provides a step- by- step guide to perforem these calculations exacfately.

Understanding thee Basic Parameters

Before starting thee calculation, identify thee essential parameters:

  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; Flow rate (Q): CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; Te volume of water passing courgh thee turbine per second, mecuurid in cubic meters per second (m ³ / s).
  • CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE1; CLANE3; CLANEKTERI3; CLANEKTERI3; TLANEKTIE Effective hight dience thee water falls, meurured in meters (m).
  • CLAS1; CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS1; CLAS1; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3; CLAS3N ALASPERATION due to gravity, approximately 9.81 m / s ².

Calculating te Power

Te power extracted by a Francis turbine can be calculated using thee formula:

CLAS1; CLAS1; CLAS3; CLAS3; P = CLAS3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3x3@@

Where:

  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; P: CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; FLANE3; FLANE3; FLANE3s (W).
  • CLANE1; CLANE1; CLANE1; CLANE3; CLANE3; CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANEIDATEL, approximately 1000 kg / m ³.
  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; g: CLANE1; CLANE1; CLANE3; CLANERAtion due to gravy (9.81 m / s ²).
  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; H: CLANE1; CLANE1; CLANE3; CLANE3; NATNE3; Net head in meters.
  • FLT: 0
  • CLANE1; CLANE1; FLT: 0 CLANE3; CLANE3; η: CLANE1; CLANE1; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; CLANE3; Overall accevency of the turbine (decimal form, e.g., 0.9).

Step-by- Step Calculation Example

Předpokladem je turbín has a flow rate of 10 m ³ / s, a net head of 50 meters, and an effectency of 90% (0.9).

First, sustitute thee known values into thee formula:

P = 1000 × 9.81 × 50 × 10 × 0.9

Calculating step- by- step:

P = 1000 × 9.81 × 50 × 10 × 0.9 = 4,405,500 W

Te turbine produces approximately 4.41 MW of power under these conditions.