Energy Informatics | |
From computer systems to power systems: using stochastic network calculus for flexibility analysis in power systems | |
Research | |
Michael Lechl1  Hermann de Meer1  Tim Fürmann2  Anke Weidlich2  | |
[1] Chair of Computer Networks and Communications, University of Passau, Innstrasse 43, 94032, Passau, Germany;Department of Sustainable Systems Engineering (INATECH), University of Freiburg, Emmy-Noether-Straße 2, 79110, Freiburg im Breisgau, Germany; | |
关键词: Power system flexibility; Stochastic network calculus; Quality of Service indicators; Network engineering; Flexibility service guarantees; | |
DOI : 10.1186/s42162-023-00286-z | |
来源: Springer | |
【 摘 要 】
As power systems transition from controllable fossil fuel plants to variable renewable sources, managing power supply and demand fluctuations becomes increasingly important. Novel approaches are required to balance these fluctuations. The problem of determining the optimal deployment of flexibility options, considering factors such as timing and location, shares similarities with scheduling problems encountered in computer networks. In both cases, the objective is to coordinate various distributed units and manage the flow of either data or power. Among the methods for scheduling and resource allocation in computer networks, stochastic network calculus (SNC) is a promising approach that estimates worst-case guarantees for Quality of Service (QoS) indicators of computer networks, such as delay and backlog. Promising QoS indicators in the power system are given by the amount of stored energy, the serviced demand, and the demand elasticity. In this work, we investigate SNC for its capabilities and limitations to quantify flexibility service guarantees in power systems. We generate and aggregate stochastic envelopes for random processes, which was found useful for modeling flexibility in power systems at multiple time scales. In a case study on the reliability of a solar-powered car charging station, we obtain similar results as from a mixed-integer linear programming problem, which provides confidence that the chosen SNC approach is suitable for modeling power system flexibility.
【 授权许可】
CC BY
© The Author(s) 2023
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202311108294947ZK.pdf | 2771KB | download | |
MediaObjects/12888_2023_5173_MOESM3_ESM.pdf | 159KB | download | |
MediaObjects/12888_2023_5173_MOESM4_ESM.pdf | 30KB | download | |
MediaObjects/12974_2023_2927_MOESM8_ESM.docx | 1142KB | Other | download |
MediaObjects/12902_2023_1437_MOESM2_ESM.docx | 1656KB | Other | download |
MediaObjects/12864_2023_9737_MOESM8_ESM.txt | 45KB | Other | download |
Fig. 1 | 1324KB | Image | download |
Fig. 4 | 659KB | Image | download |
Fig. 4 | 330KB | Image | download |
Fig. 1 | 616KB | Image | download |
Fig. 8 | 980KB | Image | download |
Fig. 2 | 1084KB | Image | download |
Fig. 5 | 508KB | Image | download |
12936_2017_2051_Article_IEq78.gif | 1KB | Image | download |
Fig. 3 | 739KB | Image | download |
Fig. 2 | 1046KB | Image | download |
Fig. 4 | 964KB | Image | download |
Fig. 6 | 353KB | Image | download |
Fig. 9 | 902KB | Image | download |
Fig. 1 | 816KB | Image | download |
12951_2015_155_Article_IEq2.gif | 1KB | Image | download |
Fig. 7 | 5305KB | Image | download |
Fig. 1 | 675KB | Image | download |
Fig. 1 | 630KB | Image | download |
Fig. 1 | 101KB | Image | download |
Fig. 10 | 427KB | Image | download |
MediaObjects/42004_2023_1026_MOESM6_ESM.pdf | 1159KB | download | |
Fig. 2 | 124KB | Image | download |
Fig. 1 | 156KB | Image | download |
MediaObjects/12888_2023_5213_MOESM1_ESM.pdf | 485KB | download | |
Fig. 1 | 123KB | Image | download |
MediaObjects/12951_2022_1747_MOESM1_ESM.pdf | 1907KB | download | |
12867_2016_60_Article_IEq2.gif | 1KB | Image | download |
Fig. 9 | 45KB | Image | download |
Fig. 2 | 937KB | Image | download |
Fig. 4 | 2368KB | Image | download |
12867_2016_60_Article_IEq1.gif | 2KB | Image | download |
12936_2017_2014_Article_IEq78.gif | 1KB | Image | download |
12951_2015_155_Article_IEq4.gif | 1KB | Image | download |
Fig. 1 | 5136KB | Image | download |
Fig. 6 | 1766KB | Image | download |
Fig. 3 | 595KB | Image | download |
Fig. 3 | 1801KB | Image | download |
Fig. 4 | 183KB | Image | download |
Fig. 7 | 372KB | Image | download |
Fig. 1 | 206KB | Image | download |
Fig. 1 | 2201KB | Image | download |
12936_2017_2051_Article_IEq85.gif | 1KB | Image | download |
12936_2017_1932_Article_IEq15.gif | 1KB | Image | download |
12936_2017_2051_Article_IEq86.gif | 1KB | Image | download |
Fig. 5 | 598KB | Image | download |
MediaObjects/41408_2023_928_MOESM1_ESM.docx | 12KB | Other | download |
Fig. 1 | 429KB | Image | download |
MediaObjects/41408_2023_928_MOESM2_ESM.pdf | 40KB | download | |
41512_2023_158_Article_IEq1.gif | 1KB | Image | download |
Fig. 7 | 1996KB | Image | download |
41512_2023_158_Article_IEq2.gif | 1KB | Image | download |
Fig. 3 | 585KB | Image | download |
Fig. 5 | 640KB | Image | download |
MediaObjects/12894_2023_1313_MOESM4_ESM.xlsx | 14KB | Other | download |
12951_2017_323_Article_IEq1.gif | 1KB | Image | download |
Fig. 8 | 3631KB | Image | download |
MediaObjects/13046_2023_2865_MOESM6_ESM.tif | 2738KB | Other | download |
41512_2023_158_Article_IEq9.gif | 1KB | Image | download |
12951_2015_155_Article_IEq6.gif | 1KB | Image | download |
Fig. 6 | 488KB | Image | download |
Fig. 1 | 196KB | Image | download |
Fig. 6 | 601KB | Image | download |
Fig. 2 | 283KB | Image | download |
Fig. 2 | 650KB | Image | download |
Fig. 6 | 514KB | Image | download |
Fig. 8 | 2130KB | Image | download |
MediaObjects/12888_2023_5289_MOESM1_ESM.docx | 690KB | Other | download |
Fig. 1 | 224KB | Image | download |
41512_2023_158_Article_IEq20.gif | 1KB | Image | download |
Fig. 1 | 439KB | Image | download |
12951_2017_270_Article_IEq3.gif | 1KB | Image | download |
Fig. 2 | 786KB | Image | download |
Fig. 2 | 422KB | Image | download |
MediaObjects/13068_2023_2403_MOESM2_ESM.xls | 1986KB | Other | download |
41512_2023_158_Article_IEq26.gif | 1KB | Image | download |
Fig. 4 | 1825KB | Image | download |
Fig. 3 | 313KB | Image | download |
MediaObjects/13046_2023_2865_MOESM7_ESM.tif | 1295KB | Other | download |
Fig. 4 | 1482KB | Image | download |
Fig. 1 | 395KB | Image | download |
350KB | Image | download | |
Fig. 4 | 463KB | Image | download |
Fig. 9 | 519KB | Image | download |
Fig. 9 | 217KB | Image | download |
MediaObjects/13046_2023_2853_MOESM2_ESM.pdf | 2039KB | download | |
42004_2023_1025_Article_IEq7.gif | 1KB | Image | download |
Fig. 2 | 256KB | Image | download |
40517_2023_273_Article_IEq2.gif | 1KB | Image | download |
Fig. 1 | 205KB | Image | download |
40517_2023_273_Article_IEq4.gif | 1KB | Image | download |
MediaObjects/40249_2023_1146_MOESM1_ESM.png | 4112KB | Other | download |
40517_2023_273_Article_IEq6.gif | 1KB | Image | download |
Fig. 2 | 679KB | Image | download |
MediaObjects/41408_2023_929_MOESM1_ESM.pdf | 265KB | download | |
40517_2023_273_Article_IEq9.gif | 1KB | Image | download |
MediaObjects/40517_2023_273_MOESM1_ESM.xlsx | 103KB | Other | download |
Fig. 1 | 48KB | Image | download |
MediaObjects/13046_2023_2865_MOESM10_ESM.jpg | 226KB | Other | download |
Fig. 3 | 821KB | Image | download |
Fig. 1 | 1445KB | Image | download |
Fig. 4 | 532KB | Image | download |
Fig. 2 | 1809KB | Image | download |
Fig. 3 | 251KB | Image | download |
Fig. 4 | 632KB | Image | download |
MediaObjects/13046_2023_2865_MOESM12_ESM.jpg | 421KB | Other | download |
Fig. 8 | 80KB | Image | download |
Fig. 4 | 718KB | Image | download |
12951_2015_155_Article_IEq7.gif | 1KB | Image | download |
MediaObjects/13046_2023_2846_MOESM1_ESM.xlsx | 18KB | Other | download |
Fig. 9 | 69KB | Image | download |
129KB | Image | download | |
Fig. 1 | 141KB | Image | download |
Fig. 10 | 107KB | Image | download |
Fig. 5 | 508KB | Image | download |
Fig. 5 | 2497KB | Image | download |
Fig. 3 | 318KB | Image | download |
Fig. 2 | 119KB | Image | download |
Fig. 7 | 354KB | Image | download |
12864_2017_3527_Article_IEq9.gif | 1KB | Image | download |
Fig. 2 | 321KB | Image | download |
MediaObjects/12902_2023_1474_MOESM1_ESM.docx | 28KB | Other | download |
MediaObjects/12888_2023_5278_MOESM1_ESM.docx | 20KB | Other | download |
MediaObjects/40249_2023_1146_MOESM2_ESM.png | 8543KB | Other | download |
MediaObjects/12888_2023_5278_MOESM2_ESM.docx | 20KB | Other | download |
12951_2015_155_Article_IEq9.gif | 1KB | Image | download |
MediaObjects/12888_2023_5278_MOESM3_ESM.docx | 19KB | Other | download |
Fig. 2 | 153KB | Image | download |
12951_2015_155_Article_IEq12.gif | 1KB | Image | download |
12951_2015_155_Article_IEq13.gif | 1KB | Image | download |
12951_2015_155_Article_IEq14.gif | 1KB | Image | download |
Fig. 3 | 173KB | Image | download |
12951_2015_155_Article_IEq16.gif | 1KB | Image | download |
1165KB | Image | download | |
12951_2015_155_Article_IEq18.gif | 1KB | Image | download |
12951_2015_155_Article_IEq19.gif | 1KB | Image | download |
12951_2015_155_Article_IEq20.gif | 1KB | Image | download |
12951_2015_155_Article_IEq21.gif | 1KB | Image | download |
12951_2015_155_Article_IEq22.gif | 1KB | Image | download |
MediaObjects/13046_2023_2846_MOESM6_ESM.pdf | 313KB | download | |
12951_2015_155_Article_IEq23.gif | 1KB | Image | download |
Fig. 1 | 238KB | Image | download |
12951_2017_315_Article_IEq1.gif | 1KB | Image | download |
Fig. 1 | 1909KB | Image | download |
Fig. 4 | 161KB | Image | download |
MediaObjects/13046_2023_2846_MOESM8_ESM.pdf | 161KB | download | |
Fig. 6 | 83KB | Image | download |
12951_2015_111_Article_IEq1.gif | 1KB | Image | download |
Fig. 1 | 2753KB | Image | download |
Table 2 | 61KB | Table | download |
MediaObjects/13046_2023_2846_MOESM10_ESM.pdf | 123KB | download | |
Fig. 3 | 393KB | Image | download |
12951_2017_270_Article_IEq5.gif | 1KB | Image | download |
Fig. 2 | 804KB | Image | download |
MediaObjects/12936_2023_4728_MOESM6_ESM.docx | 78KB | Other | download |
12951_2015_155_Article_IEq24.gif | 1KB | Image | download |
12951_2015_155_Article_IEq25.gif | 1KB | Image | download |
12951_2015_155_Article_IEq26.gif | 1KB | Image | download |
12951_2017_315_Article_IEq2.gif | 1KB | Image | download |
12951_2015_155_Article_IEq27.gif | 1KB | Image | download |
Fig. 6 | 1719KB | Image | download |
Fig. 5 | 282KB | Image | download |
Fig. 1 | 3144KB | Image | download |
12951_2015_111_Article_IEq2.gif | 1KB | Image | download |
Fig. 3 | 207KB | Image | download |
Fig. 1 | 151KB | Image | download |
Fig. 7 | 467KB | Image | download |
Fig. 2 | 532KB | Image | download |
42004_2023_1020_Article_IEq12.gif | 1KB | Image | download |
12951_2017_270_Article_IEq7.gif | 1KB | Image | download |
13100_2023_302_Article_IEq1.gif | 1KB | Image | download |
13100_2023_302_Article_IEq2.gif | 1KB | Image | download |
Fig. 7 | 1298KB | Image | download |
Fig. 3 | 328KB | Image | download |
42004_2023_1020_Article_IEq18.gif | 1KB | Image | download |
12951_2015_155_Article_IEq28.gif | 1KB | Image | download |
Fig. 5 | 115KB | Image | download |
Fig. 4 | 1271KB | Image | download |
MediaObjects/12974_2023_2896_MOESM2_ESM.tif | 1653KB | Other | download |
Fig. 2 | 1482KB | Image | download |
13100_2023_302_Article_IEq7.gif | 1KB | Image | download |
Fig. 1 | 192KB | Image | download |
12951_2015_111_Article_IEq4.gif | 1KB | Image | download |
Fig. 1 | 50KB | Image | download |
MediaObjects/42004_2023_1020_MOESM3_ESM.mov | 3708KB | Other | download |
12951_2017_270_Article_IEq8.gif | 1KB | Image | download |
Fig. 2 | 123KB | Image | download |
12951_2017_270_Article_IEq9.gif | 1KB | Image | download |
MediaObjects/13690_2023_1195_MOESM1_ESM.docx | 19KB | Other | download |
MediaObjects/13690_2023_1195_MOESM2_ESM.docx | 146KB | Other | download |
MediaObjects/12888_2023_5201_MOESM1_ESM.docx | 13KB | Other | download |
Fig. 6 | 196KB | Image | download |
MediaObjects/12888_2023_5201_MOESM2_ESM.pdf | 264KB | download | |
Fig. 5 | 50KB | Image | download |
12951_2015_155_Article_IEq30.gif | 1KB | Image | download |
MediaObjects/12888_2023_5201_MOESM3_ESM.pdf | 221KB | download | |
Fig. 1 | 132KB | Image | download |
12951_2015_111_Article_IEq5.gif | 1KB | Image | download |
Fig. 7 | 198KB | Image | download |
Fig. 3 | 3571KB | Image | download |
Fig. 3 | 3612KB | Image | download |
Fig. 8 | 1473KB | Image | download |
12951_2017_270_Article_IEq10.gif | 1KB | Image | download |
Fig. 1 | 96KB | Image | download |
Fig. 2 | 582KB | Image | download |
Fig. 2 | 4215KB | Image | download |
Fig. 2 | 172KB | Image | download |
Fig. 1 | 104KB | Image | download |
12864_2016_2889_Article_IEq3.gif | 1KB | Image | download |
12951_2015_155_Article_IEq32.gif | 1KB | Image | download |
12951_2015_155_Article_IEq33.gif | 1KB | Image | download |
12951_2015_155_Article_IEq34.gif | 1KB | Image | download |
Fig. 1 | 134KB | Image | download |
MediaObjects/12888_2023_5242_MOESM1_ESM.docx | 20KB | Other | download |
Fig. 9 | 7247KB | Image | download |
MediaObjects/12888_2023_5242_MOESM2_ESM.docx | 44KB | Other | download |
12944_2023_1927_Article_IEq6.gif | 1KB | Image | download |
12944_2023_1927_Article_IEq7.gif | 1KB | Image | download |
MediaObjects/12888_2023_5242_MOESM3_ESM.docx | 20KB | Other | download |
Table 1 | 278KB | Table | download |
Fig. 3 | 336KB | Image | download |
12888_2023_5256_Article_IEq1.gif | 1KB | Image | download |
Fig. 1 | 3761KB | Image | download |
MediaObjects/12888_2023_5256_MOESM1_ESM.docx | 25KB | Other | download |
MediaObjects/40249_2023_1146_MOESM6_ESM.png | 166KB | Other | download |
12944_2023_1927_Article_IEq13.gif | 1KB | Image | download |
MediaObjects/40249_2023_1146_MOESM7_ESM.tif | 16152KB | Other | download |
Fig. 4 | 1461KB | Image | download |
12944_2023_1927_Article_IEq16.gif | 1KB | Image | download |
Fig. 4 | 962KB | Image | download |
12944_2023_1927_Article_IEq18.gif | 1KB | Image | download |
Fig. 1 | 608KB | Image | download |
12944_2023_1927_Article_IEq20.gif | 1KB | Image | download |
Fig. 1 | 61KB | Image | download |
12944_2023_1927_Article_IEq21.gif | 1KB | Image | download |
MediaObjects/12888_2023_5184_MOESM1_ESM.docx | 72KB | Other | download |
Fig. 3 | 3826KB | Image | download |
12936_2017_2075_Article_IEq38.gif | 1KB | Image | download |
Fig. 5 | 1277KB | Image | download |
Fig. 2 | 786KB | Image | download |
12944_2023_1927_Article_IEq24.gif | 1KB | Image | download |
12944_2023_1927_Article_IEq25.gif | 1KB | Image | download |
Fig. 1 | 96KB | Image | download |
13690_2023_1196_Figa_HTML.png | 1KB | Image | download |
13690_2023_1196_Figb_HTML.png | 1KB | Image | download |
12951_2015_155_Article_IEq37.gif | 1KB | Image | download |
Fig. 1 | 130KB | Image | download |
【 图 表 】
Fig. 1
12951_2015_155_Article_IEq37.gif
13690_2023_1196_Figb_HTML.png
13690_2023_1196_Figa_HTML.png
Fig. 1
12944_2023_1927_Article_IEq25.gif
12944_2023_1927_Article_IEq24.gif
Fig. 2
Fig. 5
12936_2017_2075_Article_IEq38.gif
Fig. 3
12944_2023_1927_Article_IEq21.gif
Fig. 1
12944_2023_1927_Article_IEq20.gif
Fig. 1
12944_2023_1927_Article_IEq18.gif
Fig. 4
12944_2023_1927_Article_IEq16.gif
Fig. 4
12944_2023_1927_Article_IEq13.gif
Fig. 1
12888_2023_5256_Article_IEq1.gif
Fig. 3
12944_2023_1927_Article_IEq7.gif
12944_2023_1927_Article_IEq6.gif
Fig. 9
Fig. 1
12951_2015_155_Article_IEq34.gif
12951_2015_155_Article_IEq33.gif
12951_2015_155_Article_IEq32.gif
12864_2016_2889_Article_IEq3.gif
Fig. 1
Fig. 2
Fig. 2
Fig. 2
Fig. 1
12951_2017_270_Article_IEq10.gif
Fig. 8
Fig. 3
Fig. 3
Fig. 7
12951_2015_111_Article_IEq5.gif
Fig. 1
12951_2015_155_Article_IEq30.gif
Fig. 5
Fig. 6
12951_2017_270_Article_IEq9.gif
Fig. 2
12951_2017_270_Article_IEq8.gif
Fig. 1
12951_2015_111_Article_IEq4.gif
Fig. 1
13100_2023_302_Article_IEq7.gif
Fig. 2
Fig. 4
Fig. 5
12951_2015_155_Article_IEq28.gif
42004_2023_1020_Article_IEq18.gif
Fig. 3
Fig. 7
13100_2023_302_Article_IEq2.gif
13100_2023_302_Article_IEq1.gif
12951_2017_270_Article_IEq7.gif
42004_2023_1020_Article_IEq12.gif
Fig. 2
Fig. 7
Fig. 1
Fig. 3
12951_2015_111_Article_IEq2.gif
Fig. 1
Fig. 5
Fig. 6
12951_2015_155_Article_IEq27.gif
12951_2017_315_Article_IEq2.gif
12951_2015_155_Article_IEq26.gif
12951_2015_155_Article_IEq25.gif
12951_2015_155_Article_IEq24.gif
Fig. 2
12951_2017_270_Article_IEq5.gif
Fig. 3
Fig. 1
12951_2015_111_Article_IEq1.gif
Fig. 6
Fig. 4
Fig. 1
12951_2017_315_Article_IEq1.gif
Fig. 1
12951_2015_155_Article_IEq23.gif
12951_2015_155_Article_IEq22.gif
12951_2015_155_Article_IEq21.gif
12951_2015_155_Article_IEq20.gif
12951_2015_155_Article_IEq19.gif
12951_2015_155_Article_IEq18.gif
12951_2015_155_Article_IEq16.gif
Fig. 3
12951_2015_155_Article_IEq14.gif
12951_2015_155_Article_IEq13.gif
12951_2015_155_Article_IEq12.gif
Fig. 2
12951_2015_155_Article_IEq9.gif
Fig. 2
12864_2017_3527_Article_IEq9.gif
Fig. 7
Fig. 2
Fig. 3
Fig. 5
Fig. 5
Fig. 10
Fig. 1
Fig. 9
12951_2015_155_Article_IEq7.gif
Fig. 4
Fig. 8
Fig. 4
Fig. 3
Fig. 2
Fig. 4
Fig. 1
Fig. 3
Fig. 1
40517_2023_273_Article_IEq9.gif
Fig. 2
40517_2023_273_Article_IEq6.gif
40517_2023_273_Article_IEq4.gif
Fig. 1
40517_2023_273_Article_IEq2.gif
Fig. 2
42004_2023_1025_Article_IEq7.gif
Fig. 9
Fig. 9
Fig. 4
Fig. 1
Fig. 4
Fig. 3
Fig. 4
41512_2023_158_Article_IEq26.gif
Fig. 2
Fig. 2
12951_2017_270_Article_IEq3.gif
Fig. 1
41512_2023_158_Article_IEq20.gif
Fig. 1
Fig. 8
Fig. 6
Fig. 2
Fig. 2
Fig. 6
Fig. 1
Fig. 6
12951_2015_155_Article_IEq6.gif
41512_2023_158_Article_IEq9.gif
Fig. 8
12951_2017_323_Article_IEq1.gif
Fig. 5
Fig. 3
41512_2023_158_Article_IEq2.gif
Fig. 7
41512_2023_158_Article_IEq1.gif
Fig. 1
Fig. 5
12936_2017_2051_Article_IEq86.gif
12936_2017_1932_Article_IEq15.gif
12936_2017_2051_Article_IEq85.gif
Fig. 1
Fig. 1
Fig. 7
Fig. 4
Fig. 3
Fig. 3
Fig. 6
Fig. 1
12951_2015_155_Article_IEq4.gif
12936_2017_2014_Article_IEq78.gif
12867_2016_60_Article_IEq1.gif
Fig. 4
Fig. 2
Fig. 9
12867_2016_60_Article_IEq2.gif
Fig. 1
Fig. 1
Fig. 2
Fig. 10
Fig. 1
Fig. 1
Fig. 1
Fig. 7
12951_2015_155_Article_IEq2.gif
Fig. 1
Fig. 9
Fig. 6
Fig. 4
Fig. 2
Fig. 3
12936_2017_2051_Article_IEq78.gif
Fig. 5
Fig. 2
Fig. 8
Fig. 1
Fig. 4
Fig. 4
Fig. 1
【 参考文献 】
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]