# Difference between revisions of "Energy balance in Stuttgart 2010"

## Question

What are the amounts of energy produced, consumed, imported, and exported in Stuttgart in 2010?

⇤--#: . Rcode for using the ovariable is needed. --Jouni 23:03, 26 February 2013 (EET) (type: truth; paradigms: science: attack)

## 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

Equations(GWh /a?)
ObsEquationDummyDescription
1STP renewable energy + STP electricity = STP local heating1Balance Solar Thermal Pump. In energy balance, inputs and outputs cancel out
2STP electricity = 0.352941176*STP renewable energy1Fraction STP renewable energy. Amount of electricity is used as comparison for renewable energy. 12/34 Electricity divided by renewable energy
3CHP gas + CHP renewable energy + CHP mineral oil = CHP local heating + CHP electricity + CHP loss1Balance CHP Plants. In energy balance, inputs and outputs cancel out
4CHP renewable energy + CHP mineral oil = 3.848484848*CHP gas1Fraction CHP gas. Sum of other fuels is used as comparison for gas. (116+11)/33 Others divided by gas
5CHP gas + CHP mineral oil = 0.379310344*CHP renewable energy1Sum of other fuels is used as comparison for renewable energy. Fraction CHP renewable energy. (33+11)/116 Others divided by renewable energy
6CHP electricity + CHP loss = 3.324324324*CHP local heating1Fraction CHP local heating. Sum of other outputs is used as comparison for local heating. (27+96)/37 Others divided by local heating.
7CHP local heating + CHP loss = 4.925925925*CHP electricity1Fraction CHP electricity. Sum of other outputs is used as comparison for electricity. (37+96)/27 Others divided by electricity
8WWP renewable energy = WWP electricity1Balance Water, Wind, Photovlotaics. In energy balance, inputs and outputs cancel out
9TPP electricity input + TPP mineral oil + TPP gas = TPP local heating + TPP electricity output + TPP loss1Balance Thermal Power Plant Pfaffenwald. In energy balance, inputs and outputs cancel out
10TPP mineral oil + TPP gas = 26*TPP electricity input1Fraction TPP electricity input. Sum of other fuels is used as comparison for electricity input. (17+217)/9 Others divided by electricity input
11TPP electricity input + TPP gas = 13.294117647*TPP mineral oil1Fraction TPP mineral oil. Sum of other fuels is used as comparison for mineral oil. (9+217)/17 Others divided by mineral oil
12TPP electricity output + TPP loss = 0.380681818*TPP local heating1Fraction TPP local heating. Sum of other outputs is used as comparison for local heating. (61+6)/176 Others divided by local heating
13TPP local heating +TPP loss = 2.983606557*TPP electricity output1Fraction TPP electricity output. Sum of other outputs is used as comparison for electricity. (176+6)/61 Others divided by electricity
14TPE waste + TPE gas + TPE coal + TPE mineral oil = TPE electricity + TPE district heating + TPE loss1Balance Thermal Power Plant EVU. In energy balance, inputs and outputs cancel out
15TPE gas + TPE coal + TPE mineral oil = 0.929245283*TPE waste1Fraction TPE waste. Sum of other fuels is used as comparison for waste. (162+1019+1)/1272 Others divided by waste
16TPE waste + TPE coal + TPE mineral oil = 14.148148148*TPE gas1Fraction TPE gas. Sum of other fuels is used as comparison for gas. (1272+1019+1)/162 Others divided by gas
17TPE waste + TPE gas + TPE mineral oil = 1.408243376*TPE coal1Fraction TPE coal. Sum of other fuels is used as comparison for coal. (1272+162+1)/1019 Others divided by coal
18TPE district heating + TPE loss = 5.104477612*TPE electricity1Fraction TPE electricity. Sum of other outputs is used as comparison for electricity. (1171+881)/402 Others divided by electricity
19TPE electricity + TPE loss = 1.095644748*TPE district heating1Fraction TPE district heating. Sum of other outputs is used as comparison for district heating. (402+881)/1171 Others divided by district heating
20Ind gas = Ind electricity + Ind loss1Balance Industrial Plants. In energy balance, inputs and outputs cancel out
21Ind electricity = 0.533333333*Ind loss1Fraction Ind loss. Amount of district heating is used as comparison for loss. 8/15 district heating per loss
22STP local heating = 1.243243243*CHP local heating1Fraction local heating producers. CHP local heating production is used as reference. 46/37 STP local heating divided by CHP local heating
23Ind electricity = 0.006831768*CHP electricity1Fraction electricity producers 1. 8/1171 Ind electricity divided by TPE district heating VÄÄRIN 2008 sivulla??
24WWP electricity = 1.925925925*CHP electricity1Fraction electricity producers 2. CHP electricity production is used as reference. 52/27 WWP electricity divided by CHP electricity
25TPP electricity output = 2.259259259*CHP electricity1Fraction electricity producers 3. CHP electricity production is used as reference. 61/27 TPP electricity divided by CHP electricity
26TPE electricity = 14.888888888*CHP electricity1Fraction electricity producers 4. CHP electricity production is used as reference. 402/27 TPE electricity divided by CHP electricity
27Loss local heating = 0.057915058*STP local heating + 0.057915058*CHP local heating + 0.057915058*TPP local heating1Transmission loss local heating. Known loss divided by production. 15/(46+37+176)
28Loss electricity = 0.22*CHP electricity + 0.22*WWP electricity + 0.22*TPP electricity output + 0.22*TPE electricity + 0.22*Ind electricity1Transmission loss electricity. Known loss divided by production. 121/(27+52+61+402+8)
29Loss district heating = 0.102476516*TPE district heating1Transmission loss district heating. Known loss divided by production. 120/1171
30CES local heating = 0.217391304*STP local heating1Consumption in the Energy Sector local heating. STP local heating is used as reference. 10/46
31CES electricity = 4.259259259*CHP electricity1Consumption in the Energy Sector electricity. CHP electricity is used as reference. 115/27
32V renewable energy = 0.235294118*STP renewable energy1Vorketten renewable energy. STP renewable energy is used as reference. 8/34
33V coal = 0.103042198*TPE coal1Vorketten coal. TPE coal is used as reference. 105/1019
34V electricity = 14.425373134*TPE electricity1Vorketten electricity. TPE electricity is used as reference. 5799/402
35V gas = 14.181818181*CHP gas1Vorketten gas. CHP gas is used as reference. 468/33
36V mineral oil = 31.352941176*TPP mineral oil1Vorketten mineral oil. TPP mineral oil is used as reference. 533/17
37Bought 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 electricity1Electricity use balance. In energy balance, inputs and outputs cancel out
38STP 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 heating1Local heating balance. In energy balance, inputs and outputs cancel out
39Bought district heating + TPE district heating = Loss district heating + Cons Ind district heating + Cons Home district heating + Cons Commerce district heating1District heating balance. In energy balance, inputs and outputs cancel out
40Cons Ind electricity = 23901Consumed electricity industry
41Cons Traffic electricity = 2251Consumed electricity traffic
42Cons Home electricity = 10471Consumed electricity households
43Cons Commerce electricity = 4981Consumed electricity commerce
44Cons Ind local heating = 61Consumed local heating industry
45Cons Home local heating = 341Consumed local heating households
46Cons Commerce local heating = 1941Consumed local heating commerce
47Cons Ind district heating = 3941Consumed districit heating industry
48Cons Home district heating = 731Consumed districit heating households
49Cons Commerce district heating = 9271Consumed districit heating commerce

There are no nonlinearities.

### Calculations

 ```library(OpasnetUtils) library(ggplot2) N <- 10 objects.latest("Op_en5141", code_name = "initiate") balance <- Ovariable("balance", ddata = "Op_en5815.equations") nonlinearity <- Ovariable("nonlinearity", ddata = "Op_en5141", subset = "No nonlinearities") directinput <- Ovariable("directinput", ddata = "Op_en5141", subset = "No modelled upstream variables") energy.balance <- EvalOutput(energy.balance) oprint(summary(energy.balance)) ggplot(energy.balance@output, aes_string(x = "energybalanceVars", y = "energy.balanceResult")) + geom_boxplot() + theme_grey(base_size = 24) + theme(axis.text.x = element_text(angle = 90, hjust = 1, vjust= 0.2)) # objects.store(energy.balance) ```