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SigLinDe Parameters and Weekday Factors for Gas SLP

Source: vignettes/articles/slp-gas-parameters.Rmd
slp-gas-parameters.Rmd

This article provides reference tables for all parameters used by slp_gas() to compute daily gas consumption under the BDEW/VKU/GEODE standard load profile procedure. To retrieve these values programmatically, use slp_gas_coefficients() for the SigLinDe coefficients and slp_gas_weekday_factors() for the weekday factors.

Source

All values are taken from the BDEW/VKU/GEODE Leitfaden — Abwicklung von Standardlastprofilen Gas, pages 145–166.1

Profile overview

The BDEW Leitfaden defines 15 gas standard load profiles. Three are residential (prefix ‘H’ for “Haushalt”) and twelve are commercial or industrial (prefix ‘G’ for “Gewerbe”).

Table 1: BDEW gas standard load profile identifiers and descriptions.
Profile Description German
HEF Single-family home Einfamilienhaus
HMF Multi-family home Mehrfamilienhaus
HKO Cooking and hot water only Kochen / Warmwasser
GKO Small commercial Kleinstgewerbe
GHA Trade and commerce Handel
GMK Metal and automotive Metall / Kfz
GBD Services Dienstleistung
GBH Accommodation Beherbergung
GWA Laundries Wäscherei
GGA Gastronomy Gastronomie
GBA Bakeries Bäckerei
GGB Mixed commercial Gemischtes Gewerbe
GPD Paper and printing Papier / Druck
GMF Large multi-family / mixed use Mehrfamilienhaus gross
GHD Trade, commerce and services aggregate GHD-Stützpunkt

SigLinDe coefficients

Daily gas consumption is computed using the SigLinDe method (Sigmoid + Linear + Deutschland). The dimensionless daily heating demand \(h(\vartheta)\) for an allocation temperature \(\vartheta\) (in °C) is:

\[h(\vartheta) = \frac{A}{1 + \left(\frac{B}{\vartheta - \vartheta_0}\right)^C} + D + \max\left(m_H \cdot \vartheta + b_H,\; m_W \cdot \vartheta + b_W\right)\]

Each profile has its own set of nine coefficients. The linear component \(\max(m_H \vartheta + b_H,\; m_W \vartheta + b_W)\) represents the envelope of a space-heating line (Heizgas-Gerade) and a hot-water line (Warmwasser-Gerade). The parameters differ between variant 34 (57 % linear component, default) and variant 33 (45 % linear component).

Use slp_gas_coefficients() to retrieve these values in R:

slp_gas_coefficients()                        # all 15 profiles, both variants (30 rows)
slp_gas_coefficients(variant = "34")         # all profiles, variant 34 only
slp_gas_coefficients("HEF")                  # one profile, both variants
slp_gas_coefficients("HEF", variant = "33")  # one profile, one variant

Variant 34 (Ausprägung 34)

Table 2: SigLinDe coefficients — variant 34 (Ausprägung 34, 57 % linear component). Source: BDEW Leitfaden, Appendix 6, pp. 145–166.
Profile A B C D theta_0 m_H b_H m_W b_W
HEF 1.3819663 -37.41242 6.172318 0.0396284 40 -0.0672159 1.1167138 -0.0019982 0.1355070
HMF 1.0443538 -35.03338 6.224063 0.0502917 40 -0.0535830 0.9995901 -0.0021758 0.1633299
HKO 0.4040932 -24.43930 6.571817 0.7107710 40 0.0000000 0.0000000 0.0000000 0.0000000
GKO 1.4256684 -36.65905 7.608323 0.0371116 40 -0.0809359 1.2364527 -0.0007628 0.1002979
GHA 1.8398455 -37.82820 8.159337 0.0259710 40 -0.1069262 1.4552240 -0.0004920 0.0691851
GMK 1.3284913 -35.87151 7.518683 0.0175540 40 -0.0758983 1.1942555 -0.0008980 0.0603337
GBD 1.5175792 -37.50000 6.800000 0.0295801 40 -0.0788559 1.2161250 -0.0013134 0.0968721
GBH 0.9872585 -35.25321 6.058700 0.0793512 40 -0.0495013 0.9637999 -0.0022304 0.2288398
GWA 0.3925339 -35.30000 4.866275 0.3045099 40 -0.0167993 0.6710889 -0.0020301 0.5614623
GGA 1.1848320 -36.00000 7.736852 0.0793107 40 -0.0687383 1.1308570 -0.0006587 0.1910301
GBA 0.3537640 -33.35000 5.721230 0.3033305 40 -0.0177463 0.6825699 -0.0013912 0.5434624
GGB 1.6266812 -37.88254 6.983607 0.0297136 40 -0.0854333 1.2709629 -0.0011319 0.0928124
GPD 1.8834609 -37.00000 10.240502 0.0275470 40 -0.1253100 1.6275999 -0.0001105 0.0635119
GMF 1.0443538 -35.03338 6.224063 0.0502917 40 -0.0535830 0.9995901 -0.0021758 0.1633299
GHD 1.2569600 -36.60785 7.321187 0.0776960 40 -0.0696826 1.1379702 -0.0008522 0.1921068

Variant 33 (Ausprägung 33)

Table 3: SigLinDe coefficients — variant 33 (Ausprägung 33, 45 % linear component). Source: BDEW Leitfaden, Appendix 6, pp. 145–166.
Profile A B C D theta_0 m_H b_H m_W b_W
HEF 1.6209544 -37.18331 5.672785 0.0716431 40 -0.0495700 0.8401015 -0.0022090 0.1074468
HMF 1.2328655 -34.72136 5.816430 0.0873352 40 -0.0409284 0.7672920 -0.0022320 0.1199207
HKO 0.4040932 -24.43930 6.571817 0.7107710 40 0.0000000 0.0000000 0.0000000 0.0000000
GKO 1.3554515 -35.14126 7.130339 0.0990619 40 -0.0526487 0.8626086 -0.0008808 0.0964014
GHA 1.9724775 -36.96501 7.225695 0.0345782 40 -0.0742174 1.0448869 -0.0008295 0.0461795
GMK 1.4202419 -34.88061 6.595190 0.0385317 40 -0.0521084 0.8647919 -0.0014369 0.0637602
GBD 1.4633682 -36.17941 5.926516 0.0808835 40 -0.0475800 0.8230754 -0.0019273 0.1077046
GBH 0.9874283 -35.25321 6.154441 0.2265716 40 -0.0339020 0.6938234 -0.0012849 0.2029732
GWA 0.3337838 -36.02379 4.866275 0.4912280 40 -0.0092263 0.4595757 -0.0009676 0.3964291
GGA 1.1582082 -36.28786 6.588513 0.2235680 40 -0.0410335 0.7526451 -0.0009088 0.1916641
GBA 0.2770087 -33.00000 5.721230 0.4865118 40 -0.0094849 0.4630237 -0.0007134 0.3867447
GGB 1.8213778 -37.50000 6.346215 0.0678118 40 -0.0607666 0.9308159 -0.0013967 0.0850399
GPD 1.7110739 -35.80000 8.400000 0.0702546 40 -0.0745381 1.0463005 -0.0003672 0.0621882
GMF 1.2328655 -34.72136 5.816430 0.0873352 40 -0.0409284 0.7672920 -0.0022320 0.1199207
GHD 1.3010623 -35.68161 6.685798 0.1409267 40 -0.0473428 0.8141691 -0.0010601 0.1325092

Use slp_gas_coefficients() to retrieve these coefficients for one or more profiles:

slp_gas_coefficients()                        # all 15 profiles, variant 34
slp_gas_coefficients("HEF", variant = "33")  # single profile, variant 33

Notes

  • HKO (cooking and hot water only) has \(m_H = b_H = m_W = b_W = 0\): the linear part is zero and only the sigmoid remains.
  • HMF and GMF share identical coefficients in both variants — GMF (large multi-family / mixed use) uses the residential multi-family curve.
  • \(\vartheta_0 = 40\,°C\) for all profiles (the pole temperature of the sigmoid).

Weekday factors (\(F_{WT}\))

The weekday factor \(F_{WT}\) scales daily consumption for day-of-week effects. Residential profiles (HEF, HMF, HKO) have all factors equal to 1 — no weekday differentiation.

Table 4: Weekday factors (F_WT) for all 15 BDEW gas standard load profiles. Mo = Monday, …, Su = Sunday. Source: BDEW Leitfaden, Appendix 6, pp. 145–166.
Profile Mo Tu We Th Fr Sa Su
HEF 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
HMF 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
HKO 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000 1.0000
GKO 1.0354 1.0523 1.0449 1.0494 0.9885 0.8860 0.9435
GHA 1.0358 1.0232 1.0252 1.0295 1.0253 0.9675 0.8935
GMK 1.0699 1.0365 0.9933 0.9948 1.0659 0.9362 0.9034
GBD 1.1052 1.0857 1.0378 1.0622 1.0266 0.7629 0.9196
GBH 0.9767 1.0389 1.0028 1.0162 1.0024 1.0043 0.9587
GWA 1.2457 1.2615 1.2707 1.2430 1.1276 0.3877 0.4638
GGA 0.9322 0.9894 1.0033 1.0109 1.0180 1.0356 1.0106
GBA 1.0848 1.1211 1.0769 1.1353 1.1402 0.4852 0.9565
GGB 0.9897 0.9627 1.0507 1.0552 1.0297 0.9767 0.9353
GPD 1.0214 1.0866 1.0720 1.0557 1.0117 0.9001 0.8525
GMF 1.0354 1.0523 1.0449 1.0494 0.9885 0.8860 0.9435
GHD 1.0300 1.0300 1.0200 1.0300 1.0100 0.9300 0.9500

Use slp_gas_weekday_factors() to retrieve these values:

slp_gas_weekday_factors()        # all 15 profiles, tidy (long) format
slp_gas_weekday_factors("GWA")  # single profile

Notes

  • Weekday factors are the same for both variant 33 and variant 34.