f(x, y) - 3D plot and optimal point

#1 Опубликовано: 06.11.2023 00:13:14

55 сообщений из 634 понравились пользователям.

Группа: User

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 206 раз(а).

#2 Опубликовано: 06.11.2023 00:43:57

Valery Ochkov

55 сообщений из 634 понравились пользователям.

Группа: User

No, you cannot replace WaterSteamPro with Cool Prop for water/steam.
WaterSteamPro is a certified program!
Compare please two plots

#3 Опубликовано: 07.11.2023 03:44:54

Martin Kraska

1 242 сообщений из 2 165 понравились пользователям.

Группа: Moderator

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

1 пользователям понравился этот пост

Valery Ochkov 07.11.2023 13:09:00

#4 Опубликовано: 07.11.2023 13:10:43

Valery Ochkov

55 сообщений из 634 понравились пользователям.

Группа: User

Wrote
I am not familiar with CoolProps but I think I could make a nice 3D plot with Maxima if you provide the smath file

Thanks, Martin!
Must be someone so

#5 Опубликовано: 07.11.2023 14:53:03

Martin Kraska

1 242 сообщений из 2 165 понравились пользователям.

Группа: Moderator

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

Valery Ochkov

55 сообщений из 634 понравились пользователям.

Группа: User

Wrote
OK 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
2RegP-Ideal-Cool_Prop-95.sm (73 КиБ) скачан 221 раз(а).
2RegP-Ideal-Cool_Prop-95.pdf (361 КиБ) скачан 226 раз(а).
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

1 242 сообщений из 2 165 понравились пользователям.

Группа: Moderator

Just the plot, no optimization yet.

2023-11-08 15_08_23-SMath Solver - [2RegP-Ideal-Cool_Prop-95_Kr.sm_].png

2RegP-Ideal-Cool_Prop-95_Kr.sm (300 КиБ) скачан 237 раз(а).

Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx

2 пользователям понравился этот пост

Oscar Campo 08.11.2023 21:22:00, Valery Ochkov 08.11.2023 22:27:00

#8 Опубликовано: 09.11.2023 01:16:22

Valery Ochkov

55 сообщений из 634 понравились пользователям.

Группа: User

No optimization yet.
For checking

#9 Опубликовано: 09.11.2023 18:31:08

Jean Giraud

983 сообщений из 6 866 понравились пользователям.

Группа: User

Wrote
No, 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

1 пользователям понравился этот пост

Valery Ochkov 09.11.2023 18:37:00

#10 Опубликовано: 10.11.2023 13:49:18

Valery Ochkov

55 сообщений из 634 понравились пользователям.

Группа: User

Wrote

Wrote
No, 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

Jean Giraud

983 сообщений из 6 866 понравились пользователям.

Группа: User

... confirmed vs my formula IAPWS-97

#12 Опубликовано: 12.11.2023 02:37:31

Martin Kraska

1 242 сообщений из 2 165 понравились пользователям.

Группа: Moderator

Wrote
No optimization yet.
For checking

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.

Plot MPa.pdf (219 КиБ) скачан 201 раз(а).
2RegP-Ideal-Cool_Prop-95_Kr_detail.sm (157 КиБ) скачан 213 раз(а).

2023-11-11 19_21_55-SMath Solver - [2RegP-Ideal-Cool_Prop-95_Kr_detail.sm_].png

2RegP-Ideal-Cool_Prop-95_Kr_detail.pdf (520 КиБ) скачан 197 раз(а).

Martin Kraska Pre-configured portable distribution of SMath Studio: https://en.smath.info/wiki/SMath%20with%20Plugins.ashx

2 пользователям понравился этот пост

Valery Ochkov 12.11.2023 02:41:00, Alvaro Diaz Falconi 12.11.2023 09:04:00

#13 Опубликовано: 12.11.2023 02:51:46

Valery Ochkov

55 сообщений из 634 понравились пользователям.

Группа: User

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.

#14 Опубликовано: 12.11.2023 09:07:21

Alvaro Diaz Falconi

1 012 сообщений из 1 681 понравились пользователям.

Группа: User