Energy balance in Stuttgart 2010
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Contents
Question
What are the amounts of energy produced, consumed, imported, and exported in Stuttgart?
Answer
⇤# : Rcode for using the ovariable is needed. --Jouni 23:03, 26 February 2013 (EET)
Rationale
There are several energy transformations that each describe a specific process of energy production or use. Per unit activity, there is a constant amount of different inputs and outputs into and from this process, respectively. These unit processes are used for Stuttgart in such a way that one critical input or output from each relevant energy transformation is listed here; all other inputs and outputs logically follow from the nature of the transformation process.
Data
| Obs | Equation | Dummy | Description |
|---|---|---|---|
| 1 | STP renewable energy + STP electricity = STP local heating | 1 | Balance Solar Thermal Pump. In energy balance, inputs and outputs cancel out |
| 2 | STP electricity = 0.352941176*STP renewable energy | 1 | Fraction STP renewable energy. Amount of electricity is used as comparison for renewable energy. 12/34 Electricity divided by renewable energy |
| 3 | CHP gas + CHP renewable energy + CHP mineral oil = CHP local heating + CHP electricity + CHP loss | 1 | Balance CHP Plants. In energy balance, inputs and outputs cancel out |
| 4 | CHP renewable energy + CHP mineral oil = 3.848484848*CHP gas | 1 | Fraction CHP gas. Sum of other fuels is used as comparison for gas. (116+11)/33 Others divided by gas |
| 5 | CHP gas + CHP mineral oil = 0.379310344*CHP renewable energy | 1 | Sum of other fuels is used as comparison for renewable energy. Fraction CHP renewable energy. (33+11)/116 Others divided by renewable energy |
| 6 | CHP electricity + CHP loss = 3.324324324*CHP local heating | 1 | Fraction CHP local heating. Sum of other outputs is used as comparison for local heating. (27+96)/37 Others divided by local heating. |
| 7 | CHP local heating + CHP loss = 4.925925925*CHP electricity | 1 | Fraction CHP electricity. Sum of other outputs is used as comparison for electricity. (37+96)/27 Others divided by electricity |
| 8 | WWP renewable energy = WWP electricity | 1 | Balance Water, Wind, Photovlotaics. In energy balance, inputs and outputs cancel out |
| 9 | TPP electricity input + TPP mineral oil + TPP gas = TPP local heating + TPP electricity output + TPP loss | 1 | Balance Thermal Power Plant Pfaffenwald. In energy balance, inputs and outputs cancel out |
| 10 | TPP mineral oil + TPP gas = 26*TPP electricity input | 1 | Fraction TPP electricity input. Sum of other fuels is used as comparison for electricity input. (17+217)/9 Others divided by electricity input |
| 11 | TPP electricity input + TPP gas = 13.294117647*TPP mineral oil | 1 | Fraction TPP mineral oil. Sum of other fuels is used as comparison for mineral oil. (9+217)/17 Others divided by mineral oil |
| 12 | TPP electricity output + TPP loss = 0.380681818*TPP local heating | 1 | Fraction TPP local heating. Sum of other outputs is used as comparison for local heating. (61+6)/176 Others divided by local heating |
| 13 | TPP local heating +TPP loss = 2.983606557*TPP electricity output | 1 | Fraction TPP electricity output. Sum of other outputs is used as comparison for electricity. (176+6)/61 Others divided by electricity |
| 14 | TPE waste + TPE gas + TPE coal + TPE mineral oil = TPE electricity + TPE district heating + TPE loss | 1 | Balance Thermal Power Plant EVU. In energy balance, inputs and outputs cancel out |
| 15 | TPE gas + TPE coal + TPE mineral oil = 0.929245283*TPE waste | 1 | Fraction TPE waste. Sum of other fuels is used as comparison for waste. (162+1019+1)/1272 Others divided by waste |
| 16 | TPE waste + TPE coal + TPE mineral oil = 14.148148148*TPE gas | 1 | Fraction TPE gas. Sum of other fuels is used as comparison for gas. (1272+1019+1)/162 Others divided by gas |
| 17 | TPE waste + TPE gas + TPE mineral oil = 1.408243376*TPE coal | 1 | Fraction TPE coal. Sum of other fuels is used as comparison for coal. (1272+162+1)/1019 Others divided by coal |
| 18 | TPE district heating + TPE loss = 5.104477612*TPE electricity | 1 | Fraction TPE electricity. Sum of other outputs is used as comparison for electricity. (1171+881)/402 Others divided by electricity |
| 19 | TPE electricity + TPE loss = 1.095644748*TPE district heating | 1 | Fraction TPE district heating. Sum of other outputs is used as comparison for district heating. (402+881)/1171 Others divided by district heating |
| 20 | Ind gas = Ind electricity + Ind loss | 1 | Balance Industrial Plants. In energy balance, inputs and outputs cancel out |
| 21 | Ind electricity = 0.533333333*Ind loss | 1 | Fraction Ind loss. Amount of district heating is used as comparison for loss. 8/15 district heating per loss |
| 22 | STP local heating = 0.245901639*CHP local heating | 1 | Fraction local heating producers. CHP local heating production is used as reference. 46/37 STP local heating divided by CHP local heating |
| 23 | Ind electricity = 0.095238095*CHP electricity | 1 | Fraction electricity producers 1. 8/1171 Ind electricity divided by TPE district heating VÄÄRIN 2008 sivulla?? |
| 24 | WWP electricity = 0.797619048*CHP electricity | 1 | Fraction electricity producers 2. CHP electricity production is used as reference. 52/27 WWP electricity divided by CHP electricity |
| 25 | TPP electricity output = 0.595238095*CHP electricity | 1 | Fraction electricity producers 3. CHP electricity production is used as reference. 61/27 TPP electricity divided by CHP electricity |
| 26 | TPE electricity = 4.511904762*CHP electricity | 1 | Fraction electricity producers 4. CHP electricity production is used as reference. 402/27 TPE electricity divided by CHP electricity |
| 27 | Loss local heating = 0.041139241*STP local heating + 0.041139241*CHP local heating + 0.041139241*TPP local heating | 1 | Transmission loss local heating. Known loss divided by production. 15/(46+37+176) |
| 28 | Loss electricity = 0.221088435*CHP electricity + 0.221088435*WWP electricity + 0.221088435*TPP electricity output + 0.221088435*TPE electricity + 0.221088435*Ind electricity | 1 | Transmission loss electricity. Known loss divided by production. 121/(27+52+61+402+8) |
| 29 | Loss district heating = 0.109900091*TPE district heating | 1 | Transmission loss district heating. Known loss divided by production. 120/1171 |
| 30 | CES local heating = 0.366666667*STP local heating | 1 | Consumption in the Energy Sector local heating. STP local heating is used as reference. 10/46 |
| 31 | CES electricity = 1.392857143*CHP electricity | 1 | Consumption in the Energy Sector electricity. CHP electricity is used as reference. 115/27 |
| 32 | V renewable energy = 0.272727273*STP renewable energy | 1 | Vorketten renewable energy. STP renewable energy is used as reference. 8/34 |
| 33 | V coal = 0.103042198*TPE coal | 1 | Vorketten coal. TPE coal is used as reference. 105/1019 |
| 34 | V electricity = 17.79683377*TPE electricity | 1 | Vorketten electricity. TPE electricity is used as reference. 5799/402 |
| 35 | V gas = 2.027777778*CHP gas | 1 | Vorketten gas. CHP gas is used as reference. 468/33 |
| 36 | V mineral oil = 12.3255814*TPP mineral oil | 1 | Vorketten mineral oil. TPP mineral oil is used as reference. 533/17 |
| 37 | Bought electricity + CHP electricity + WWP electricity + TPP electricity output + TPE electricity + Ind electricity = STP electricity + TPP electricity input + Loss electricity + CES electricity + V electricity + Cons Ind electricity + Cons Traffic electricity + Cons Home electricity + Cons Commerce electricity | 1 | Electricity use balance. In energy balance, inputs and outputs cancel out |
| 38 | STP local heating + CHP local heating + TPP local heating = Loss local heating + CES local heating + Cons Ind local heating + Cons Home local heating + Cons Commerce local heating | 1 | Local heating balance. In energy balance, inputs and outputs cancel out |
| 39 | Bought district heating + TPE district heating = Loss district heating + Cons Ind district heating + Cons Home district heating + Cons Commerce district heating | 1 | District heating balance. In energy balance, inputs and outputs cancel out |
| 40 | Cons Ind electricity = 2390 | 1 | Consumed electricity industry |
| 41 | Cons Traffic electricity = 225 | 1 | Consumed electricity traffic |
| 42 | Cons Home electricity = 1047 | 1 | Consumed electricity households |
| 43 | Cons Commerce electricity = 498 | 1 | Consumed electricity commerce |
| 44 | Cons Ind local heating = 6 | 1 | Consumed local heating industry |
| 45 | Cons Home local heating = 34 | 1 | Consumed local heating households |
| 46 | Cons Commerce local heating = 194 | 1 | Consumed local heating commerce |
| 47 | Cons Ind district heating = 394 | 1 | Consumed districit heating industry |
| 48 | Cons Home district heating = 73 | 1 | Consumed districit heating households |
| 49 | Cons Commerce district heating = 927 | 1 | Consumed districit heating commerce |
There are no nonlinearities.
Calculations
- See Energy balance.
- Model version for ISEE 2013 results. Model run
- Old code available here. Unfortunately it does not run any more, because input data has been reformatted.
See also
- Previous way of presenting energy balances in Stuttgart: consumption, transformations, supply
- About large systems of non-linear equations: BB package in R
Keywords
References
Related files
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