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f(x, y) - 3D plot and optimal point - Steam Turbine - Сообщения
#1 Опубликовано: 06.11.2023 00:13:14
I have f(x, y) - thermal efficiency of a steam turbine with two steam extractions for heating feed water depending on the extraction pressures.
Question.
1. How to find the optimal pressure values at which the efficiency will be maximum?
2. Is it possible to build a surface? For now I have two separate 2D graphics.
More https://link.springer.com/book/10.1007/978-3-319-26674-9
2RegP-Ideal-new.sm (94 КиБ) скачан 35 раз(а).


Question.
1. How to find the optimal pressure values at which the efficiency will be maximum?
2. Is it possible to build a surface? For now I have two separate 2D graphics.
More https://link.springer.com/book/10.1007/978-3-319-26674-9
2RegP-Ideal-new.sm (94 КиБ) скачан 35 раз(а).
#2 Опубликовано: 06.11.2023 00:43:57
#3 Опубликовано: 07.11.2023 03:44:54
I am not familiar with CoolProps but I think I could make a nice 3D plot with Maxima if you provide the smath file
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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Valery Ochkov 07.11.2023 13:09:00
#4 Опубликовано: 07.11.2023 13:10:43
#5 Опубликовано: 07.11.2023 14:53:03
OK but I need a file where the wsp calls are replaced by coolprop ones. Even if plotting doesn't work as expected.
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
#6 Опубликовано: 08.11.2023 13:05:10
WroteOK but I need a file where the wsp calls are replaced by coolprop ones. Even if plotting doesn't work as expected.
See please attach
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Martin (and all), I am waiting for the solution - 3D-plot and optimal values of p1 and p2.
#7 Опубликовано: 08.11.2023 21:11:41
Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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#8 Опубликовано: 09.11.2023 01:16:22
#9 Опубликовано: 09.11.2023 18:31:08
WroteNo, you cannot replace WaterSteamPro with Cool Prop for water/steam.
WaterSteamPro is a certified program!
Agreed: CoolProp is CoolProp.
For quick visit, I use freeware Katmar IAPWS=97 in all sorts of units.
By same token, in Smath, we have lot of water/steam formulas.
What about you tabulate matrix style, then spline/interpolate.
I will be back on your document ... Jean
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Valery Ochkov 09.11.2023 18:37:00
#10 Опубликовано: 10.11.2023 13:49:18
WroteWroteNo, you cannot replace WaterSteamPro with Cool Prop for water/steam.
WaterSteamPro is a certified program!
Agreed: CoolProp is CoolProp.
For quick visit, I use freeware Katmar IAPWS=97 in all sorts of units.
By same token, in Smath, we have lot of water/steam formulas.
What about you tabulate matrix style, then spline/interpolate.
I will be back on your document ... Jean
#11 Опубликовано: 11.11.2023 01:40:46
... confirmed vs my formula IAPWS-97
#12 Опубликовано: 12.11.2023 02:37:31
Wrote
I get slightly different values. Still no automatic optimization because the objective function doesn't translate to Maxima. As a first step I made the function more robust by solving the two equations sequentially instead of simultaneously. In the original version sampling for the plot occasionally failed.
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Martin Kraska
Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx
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#13 Опубликовано: 12.11.2023 02:51:46
Wonderful!
But I dare to note that a real steam turbine unit has up to eight steam extractions from the turbine to regenerative heaters. And not only mixing, but also surface type.
But I dare to note that a real steam turbine unit has up to eight steam extractions from the turbine to regenerative heaters. And not only mixing, but also surface type.
#14 Опубликовано: 12.11.2023 09:07:21
WroteI get slightly different values. ...
Hi. Using the definition for partial derivatives and a pure numerical solver.
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Best regards.
Alvaro.
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Martin Kraska 12.11.2023 09:10:00, Valery Ochkov 12.11.2023 14:12:00, Oscar Campo 12.11.2023 18:29:00
#15 Опубликовано: 14.11.2023 02:13:59
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