ciência/science application of steam turbines...

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APPLICATION OF STEAM TURBINES SIMULATION MODELS IN POWER GENERATION SYSTEMS C.S.Bresolin, P.S. Schneider, H.A. Vielmo and F.H.R.França Universidade Federal do Rio Grande do Sul Departamento de Engenharia Mecânica Rua Sarmento Leite, 425. 90050-170 Porto Alegre RS. [email protected] [email protected] [email protected] [email protected] ABSTRACT The goal of this work is to simulate partial load operation of steam turbines in different controlling modes. An isentropic efficiency function is associated to a specific steam turbine. The Schegliáiev and the Stodola's Ellipse Law, relating levels of pressure with mass flow, are compared. The proposed operational modes are: a) sliding pressure; b) throttling valve; c) nozzle valve. As a conclusion, Schegliáiev and Stodola's models leads to very similar results and the operational modes by valves establishes theoretical limits of operation for steam turbines. The sliding pressure control is more efficient considering design operation. Keywords: steam turbines, partial loads, isentropic efficiency, Stodola's Ellipse Law, nozzle analogy m & W & W & å = - = n i si i i i h h m W 1 2 1 ) ( & & h (1) i m & 1 2 D i Engenharia Térmica (Thermal Engineering), Vol. 5 - Nº 01 - July 2006 73 Ciência/Science

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APPLICATION OF STEAM TURBINES SIMULATION MODELS IN POWER GENERATION SYSTEMS

C.S.Bresolin,

P.S. Schneider,

H.A. Vielmo

and F.H.R.França

Universidade Federal do Rio Grande do Sul

Departamento de Engenharia Mecânica

Rua Sarmento Leite, 425.

90050-170 Porto Alegre RS.

[email protected]

[email protected]

[email protected]

[email protected]

ABSTRACT

The goal of this work is to simulate partial load operation of steam turbines in different controlling modes. An isentropic efficiency function is associated to a specific steam turbine. The Schegliáiev and the Stodola's Ellipse Law, relating levels of pressure with mass flow, are compared. The proposed operational modes are: a) sliding pressure; b) throttling valve; c) nozzle valve. As a conclusion, Schegliáiev and Stodola's models leads to very similar results and the operational modes by valves establishes theoretical limits of operation for steam turbines. The sliding pressure control is more efficient considering design operation.

Keywords: steam turbines, partial loads, isentropic efficiency, Stodola's Ellipse Law, nozzle analogy

m&

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W&

å=

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121 )(&& h (1)

im&

12Di

Engenharia Térmica (Thermal Engineering), Vol. 5 - Nº 01 - July 2006 73

Ciência/Science

shh

hh

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Engenharia Térmica (Thermal Engineering), Vol. 5 - Nº 01 - July 2006 74

Ciência/Science Bresolin et al. Application of Steam Turbines ...

Algebraically rearranging this equation in regard to P,

iDi

ii

Y

BP

21 f-= (9)

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f f

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Engenharia Térmica (Thermal Engineering), Vol. 5 - Nº 01 - July 2006 75

Ciência/Science Bresolin et al. Application of Steam Turbines ...

Engenharia Térmica (Thermal Engineering), Vol. 5 - Nº 01 - July 2006 76

Ciência/Science Bresolin et al. Application of Steam Turbines ...

Engenharia Térmica (Thermal Engineering), Vol. 5 - Nº 01 - July 2006 77

Ciência/Science Bresolin et al. Application of Steam Turbines ...