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We are near the end of a major inspection / maintenance period for one of our two GE frame 6 turbines. During this outage, GE has upgraded the honeycomb seals at the third stage of the turbine.
This modification requires new temperature control curve setpoints. In the Mk IV, we have two curves: TTK0 and TTK1. TTK0 is the Base curve, and TTK1 was added with a 'PEAK' operation modification sometime after comissioning, but far before I arrived.
GE at first was unsure about what our TTK1 was for, I told them about the peak modification. I verified this and sent our complete 1D list to GE. Here's what were our control curve constants:
TTK0_C 135 psi
TTK0_I 1055 F
TTK0_K 72 %
TTK0_M 2.49 F/FSR
TTK0_S 2.02 F/psi
TTK1_C 139.1 psi
TTk1_I 1070 F
TTK1_K 72.1 %
TTK1_M 2.37 F/FSR
TTK1_S 1.62 F/psi
So, my understanding is that these 2 sets of 5 constants make up our Isothermal (I), CPD BIAS (C and S), and FSR BIAS (K and M) curves for both BASE and PEAK operation. Similar to what I have on Pages 1 and 6 of this pdf ( http://www.auto-ic.com/CURVES.pdf ).
I worked out the Y intercepts and came up with the following linear equations:
BASE
CPD BIAS -> Texh = -2.02 * CPD + 1327.7
FSR BIAS -> Texh = -2.49 * FSR + 1234.28
PEAK
CPD BIAS -> Texh = -1.62 * CPD + 1327.7
FSR BIAS -> Texh = -2.37 * FSR + 1234.28
This all seems pretty straight forward to me from a technician's perspective. But then I was handed GE's proposed new constants (they even added an equation at the top of each set of constants... presumably to help 'clarify things'):<pre>
CONSTANT NAME Description Value Units
BASE Texh = -27.5676 * Xc + 1355.0956
TTK0_C Exhaust Temp Control curve #1 CPD Ref Corner 134.2619 psi
TTK0_I Exhaust Temp Control curve #1 Tx Ref isothermal 1055 deg F
TTK0_K Exhaust Temp Control curve #1 OFFSET DW bias 65.8827 MW
TTK0_M Exhaust Temp Control curve #1 GAIN DW bias 2.6605 F/MW
TTK0_S Exhaust Temp Control curve #1 CPD Ref Slope 2.0270 F/psi
CONSTANT NAME Description Value Units
PEAK Texh = -22.1296 * Xc + 1317.2271
TTK0_C Exhaust Temp Control curve #1 CPD Ref Corner 138.151 psi
TTK0_I Exhaust Temp Control curve #1 Tx Ref isothermal 1070 deg F
TTK0_K Exhaust Temp Control curve #1 OFFSET DW bias 79.9542 MW
TTK0_M Exhaust Temp Control curve #1 GAIN DW bias 1.7624 F/MW
TTK0_S Exhaust Temp Control curve #1 CPD Ref Slope 1.6272 F/psi</pre>
First things first, I questioned GE's units on the K and M curve. That was apparently an oversight; they meant to say FSR, not MW or DW.
My first real question in all of this is, what is Xc in GE's equations above? I had to work out the CPD BIAS and FSR BIAS curves again with these new numbers because their slope was so steep... and their Y-intercepts were so close...
Here's what I got:
BASE
CPD BIAS -> Texh = -2.027 * CPD + 1327.15
FSR BIAS -> Texh = -2.6605 * FSR + 1230.28
PEAK
CPD BIAS -> Texh = -1.6272 * CPD + 1294.80
FSR BIAS -> Texh = -1.7624 * FSR + 1205.62
So the curves I work out from their points dont correspond to the equations that they have given with either y intercept or slope. I just can't wrap my head around what Xc represents. The intercept is *close* but not exact, and the slopes are nowhere close.
The other thing that I can't work out is this. While the CPD curves do not change much with this modification, the FSR curves do. The base load curves move in a more conservative direction. As FSR increases, we are more limited in temperature. That makes sense with better 3rd stage seals; more work is being done --- for a constant exhaust temperature, combustion temperature would have to be higher. Since we haven't done anything to allow higher combustion temps, the exhaust limit would have to be lower to take this into account. SO...
Why would the slope be smaller than before, allowing for higher temps for a given FSR? (see pdf http://www.auto-ic.com/CURVES.pdf page 4)
I'm looking for a general concurrence that this shift in curves makes sense or doesn't. And Xc.
This modification requires new temperature control curve setpoints. In the Mk IV, we have two curves: TTK0 and TTK1. TTK0 is the Base curve, and TTK1 was added with a 'PEAK' operation modification sometime after comissioning, but far before I arrived.
GE at first was unsure about what our TTK1 was for, I told them about the peak modification. I verified this and sent our complete 1D list to GE. Here's what were our control curve constants:
TTK0_C 135 psi
TTK0_I 1055 F
TTK0_K 72 %
TTK0_M 2.49 F/FSR
TTK0_S 2.02 F/psi
TTK1_C 139.1 psi
TTk1_I 1070 F
TTK1_K 72.1 %
TTK1_M 2.37 F/FSR
TTK1_S 1.62 F/psi
So, my understanding is that these 2 sets of 5 constants make up our Isothermal (I), CPD BIAS (C and S), and FSR BIAS (K and M) curves for both BASE and PEAK operation. Similar to what I have on Pages 1 and 6 of this pdf ( http://www.auto-ic.com/CURVES.pdf ).
I worked out the Y intercepts and came up with the following linear equations:
BASE
CPD BIAS -> Texh = -2.02 * CPD + 1327.7
FSR BIAS -> Texh = -2.49 * FSR + 1234.28
PEAK
CPD BIAS -> Texh = -1.62 * CPD + 1327.7
FSR BIAS -> Texh = -2.37 * FSR + 1234.28
This all seems pretty straight forward to me from a technician's perspective. But then I was handed GE's proposed new constants (they even added an equation at the top of each set of constants... presumably to help 'clarify things'):<pre>
CONSTANT NAME Description Value Units
BASE Texh = -27.5676 * Xc + 1355.0956
TTK0_C Exhaust Temp Control curve #1 CPD Ref Corner 134.2619 psi
TTK0_I Exhaust Temp Control curve #1 Tx Ref isothermal 1055 deg F
TTK0_K Exhaust Temp Control curve #1 OFFSET DW bias 65.8827 MW
TTK0_M Exhaust Temp Control curve #1 GAIN DW bias 2.6605 F/MW
TTK0_S Exhaust Temp Control curve #1 CPD Ref Slope 2.0270 F/psi
CONSTANT NAME Description Value Units
PEAK Texh = -22.1296 * Xc + 1317.2271
TTK0_C Exhaust Temp Control curve #1 CPD Ref Corner 138.151 psi
TTK0_I Exhaust Temp Control curve #1 Tx Ref isothermal 1070 deg F
TTK0_K Exhaust Temp Control curve #1 OFFSET DW bias 79.9542 MW
TTK0_M Exhaust Temp Control curve #1 GAIN DW bias 1.7624 F/MW
TTK0_S Exhaust Temp Control curve #1 CPD Ref Slope 1.6272 F/psi</pre>
First things first, I questioned GE's units on the K and M curve. That was apparently an oversight; they meant to say FSR, not MW or DW.
My first real question in all of this is, what is Xc in GE's equations above? I had to work out the CPD BIAS and FSR BIAS curves again with these new numbers because their slope was so steep... and their Y-intercepts were so close...
Here's what I got:
BASE
CPD BIAS -> Texh = -2.027 * CPD + 1327.15
FSR BIAS -> Texh = -2.6605 * FSR + 1230.28
PEAK
CPD BIAS -> Texh = -1.6272 * CPD + 1294.80
FSR BIAS -> Texh = -1.7624 * FSR + 1205.62
So the curves I work out from their points dont correspond to the equations that they have given with either y intercept or slope. I just can't wrap my head around what Xc represents. The intercept is *close* but not exact, and the slopes are nowhere close.
The other thing that I can't work out is this. While the CPD curves do not change much with this modification, the FSR curves do. The base load curves move in a more conservative direction. As FSR increases, we are more limited in temperature. That makes sense with better 3rd stage seals; more work is being done --- for a constant exhaust temperature, combustion temperature would have to be higher. Since we haven't done anything to allow higher combustion temps, the exhaust limit would have to be lower to take this into account. SO...
Why would the slope be smaller than before, allowing for higher temps for a given FSR? (see pdf http://www.auto-ic.com/CURVES.pdf page 4)
I'm looking for a general concurrence that this shift in curves makes sense or doesn't. And Xc.