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# Estimating gas turbine performance

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### Estimating gas turbine performance

1. 1. g Estimating Gas Turbine Performance The following is a method for estimating gas turbine performance using performance curves and site data (i.e., elevation, ambient temperature, inlet and exhaust pressure drops, and the type of fuel). Both full load and part load performance calculations are described and illustrated. Typical examples are provided for package power plants. Performance curves are based on the ISO standard (59°F, 60% relative humidity and 14.7 psia). Theses curves do not include the water or steam injection for NOx control due to the many different NOx levels offered. However, the effect of a known water or steam flow can be calculated separately per the dilutent effects curves. This procedure should be used only for the approximation of performance at site conditions and not for performance guarantees. Performance guarantees for this proposal are shown in the “Performance Specifications” section. The performance curves included are to illustrate the calculation procedure and do not reflect current ratings. Performance curves applicable to the equipment offered in this proposal are listed under “Turbine and Generator Performance Curves” in the “Engineering Data” Section. Nomenclature D = differential; i.e. DP is pressure drop fa = inlet DP factor for output fb = exhaust DP factor for output fc = compressor inlet temperature factor for output fd = compressor inlet temperature factor for exhaust flow fe = compressor inlet temperature factor for heat rate ff = inlet DP factor for heat rate fg = exhaust DP factor for heat rate fh = humidity factor for output fi = humidity factor for heat rate HC = heat consumption (fuel consumption in Btu/h) HR = heat rate (Btu/kWh) KW = power output (kW) P = barometric pressure (psia) Pc = effective pressure (psia) at the inlet flange of a package power plant Tx = exhaust gas temperature (°F) Reference GTS–111D page 1 Estimating Gas Turbine Performance
2. 2. Wx = exhaust flow (lb/h) EFF = thermal efficiency (%) (LHV) = based on fuel lower heating value Subscripts s, i, o s denotes at site conditions i denotes at ISO conditions o denotes at site altitude, actual inlet and exhaust DP’s, and compressor inlet conditions of 59°F @ 60% RH. I. Full Load Performance A. Method 1. Output (KWs) = (KWi) x (Ps/14.7) x fa x fb x fc x fh 2. Heat Rate (HRs) = (HRi) x fe x ff x fg x fi Note: Altitude has no effect on heat rate 3. Heat Consumption (HCs) = (KWs) x (HRs) 4. Exhaust Temperature (Tx) Read from appropriate curve. Add temperature increase for additional inlet and/or exhaust pressure drops. 5 Exhaust Flow (Wxs) = (Wxi) x (Pc/14.7) x fd Where Pc = Ps – (0.0361 x additional DP (inches of H2O) at inlet) B. Notes 1. Round off calculations as follows: Output – To nearest 10 kW or maximum of 4 significant figures Heat Rate – To nearest 10 Btu/kWh Heat Consumption – To nearest 0.1 x 106 Btu/h or maximum of 4 significant figures Exhaust Temperature – To nearest degree F Exhaust Flow – To four significant figures (lb/h) 2. The ratio Ps/14.7 can be read directly from the altitude correction curve 416HA662 C. Sample Full Load Calculation Package Power Plant – MS7001(EA) Simple Cycle Model PG7111(EA) with an air–cooled generator. Reference GTS–111D page 2Estimating Gas Turbine Performance
3. 3. Site Conditions: Altitude = 600 ft Barometric Pressure Ps = 14.39 psia (from Curve 416HA662) Compressor Inlet Temperature = 90°F Inlet DP = 2.5’ H2O (included in rating) Exhaust DP = 10” H2O (5.5” H2O is included in rating) Fuel = Distillate Oi1 Mode = Base Load1. Design Conditions (ISO) from Curve 499HA733 Output KWi = 82100 kW Heat Rate HRi = 10560 Btu/kWh (LHV) Exhaust Flow Wxi = 2358 x 103 lb/h2. Calculation of factors.The ratings for the package power plant include a standard inlet and exhaustpressure drop as stated with the ratings. Therefore the pressure drops usedto calculate fa, fb, ff, fg, Pc, and exhaust temperature increase are the pressuredrops in excess of the standard pressure drops.The resulting performance decrease effect of additional pressure drop issubtracted from unity to obtain the output multiplication factor. The heat ratepercentage effect is added to unity to obtain the heat rate multiplier foradditional pressure drops. Output : f a + 1.0 ǒ f b + 1.0 * 0.42 x 4.5 4 Ǔ 1 + 0.9953 100 (curve 499HA733 with additional 4.5” H2 O) f c + 0.890 (from Curve 499HA734) f h + 0.9982 (from Curve 498HA697) Heat Rate : f e + 1.025 (from Curve 499HA734) f f + 1.0 ǒ f g + 1.0 ) 0.42 x 4.5 4 Ǔ 1 + 1.0047 100 (curve 499HA733 with additional 4.5” H2 O) f i + 1.0048 (from Curve 498HA697) Reference GTS–111D page 3 Estimating Gas Turbine Performance