f(x, y) - 3D plot and optimal point - Steam Turbine Options  Email this topic  Watch this topic  Print this topic » Normal Threaded

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OchkovVF		#1 Posted : 06 November 2023 06:13:14(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		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.co...0.1007/978-3-319-26674-9 2RegP-Ideal-new.sm (95kb) downloaded 13 time(s). Edited by user 06 November 2023 06:21:22(UTC)  | Reason: Not specified
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OchkovVF		#2 Posted : 06 November 2023 06:43:57(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		No, you cannot replace WaterSteamPro with Cool Prop for water/steam. WaterSteamPro is a certified program! Compare please two plots Edited by user 07 November 2023 08:15:34(UTC)  | Reason: Not specified
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mkraska		#3 Posted : 07 November 2023 09:44:54(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,986 Was thanked: 1124 time(s) in 721 post(s)		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://smath.com/wiki/SMath_with_Plugins.ashx
1 user thanked mkraska for this useful post.		on 07/11/2023(UTC)
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OchkovVF		#4 Posted : 07 November 2023 19:10:43(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		Originally Posted by: mkraska 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
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mkraska		#5 Posted : 07 November 2023 20:53:03(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,986 Was thanked: 1124 time(s) in 721 post(s)		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://smath.com/wiki/SMath_with_Plugins.ashx
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OchkovVF		#6 Posted : 08 November 2023 19:05:10(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		Originally Posted by: mkraska 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 (74kb) downloaded 16 time(s). 2RegP-Ideal-Cool_Prop-95.pdf (362kb) downloaded 9 time(s). Martin (and all), I am waiting for the solution - 3D-plot and optimal values of p1 and p2.
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mkraska		#7 Posted : 09 November 2023 03:11:41(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,986 Was thanked: 1124 time(s) in 721 post(s)		Just the plot, no optimization yet. 2RegP-Ideal-Cool_Prop-95_Kr.sm (301kb) downloaded 15 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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OchkovVF		#8 Posted : 09 November 2023 07:16:22(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		No optimization yet. For checking
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Jean Giraud		#9 Posted : 10 November 2023 00:31:08(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		Originally Posted by: OchkovVF 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
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OchkovVF		#10 Posted : 10 November 2023 19:49:18(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		Originally Posted by: Jean Giraud Originally Posted by: OchkovVF 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-Plagin.png (702kb) downloaded 0 time(s).
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Jean Giraud		#11 Posted : 11 November 2023 07:40:46(UTC)
Rank: Guest Groups: Registered Joined: 04/07/2015(UTC) Posts: 6,866 Was thanked: 981 time(s) in 809 post(s)		... confirmed vs my formula IAPWS-97
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mkraska		#12 Posted : 12 November 2023 08:37:31(UTC)
Rank: Advanced Member Groups: Registered Joined: 15/04/2012(UTC) Posts: 1,986 Was thanked: 1124 time(s) in 721 post(s)		Originally Posted by: OchkovVF 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 (220kb) downloaded 4 time(s). 2RegP-Ideal-Cool_Prop-95_Kr_detail.sm (158kb) downloaded 9 time(s). 2RegP-Ideal-Cool_Prop-95_Kr_detail.pdf (521kb) downloaded 6 time(s).
		Martin Kraska Pre-configured portable distribution of SMath Studio: https://smath.com/wiki/SMath_with_Plugins.ashx
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OchkovVF		#13 Posted : 12 November 2023 08:51:46(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)		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.
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Razonar		#14 Posted : 12 November 2023 15:07:21(UTC)
Rank: Advanced Member Groups: Registered Joined: 28/08/2014(UTC) Posts: 1,356 Was thanked: 815 time(s) in 516 post(s)		Originally Posted by: mkraska I get slightly different values. ... Hi. Using the definition for partial derivatives and a pure numerical solver. 2RegP-Ideal-Cool_Prop-95_Kr_detail.sm (163kb) downloaded 10 time(s). Best regards. Alvaro.
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OchkovVF		#15 Posted : 14 November 2023 08:13:59(UTC)
Rank: Advanced Member Groups: Registered, Advanced Member Joined: 06/04/2023(UTC) Posts: 339 Was thanked: 26 time(s) in 25 post(s)
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