Cost curves for energy
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Question
What costs curves should be used for different energy products?
Answer
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Obs  Row  Actor  Fuel  Use  Reference  Unit  Result  Description 

1  1  Kuopion energia  Coal and peat  Demand  Current  €,ton  0, 0.06  
2  2  Kuopio market  Coal and peat  Supply  Current  €,ton  0, 0.5 
Parameter c_{i} are estimated from data: it is the current supply or demand given the current price (used as the point where p = 0).
Rationale
For detailed rationale, see Energy balance.
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \Sigma f_i(p) = \Sigma (a_i p^2 + b_i p + c_i) = 0}
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle p = \frac{\Sigma b_i \pm \sqrt{(\Sigma b_i)^2  4 \Sigma a_i \Sigma c_i}} {2 \Sigma a_i}}
Cost curves are parameterised in the way that the current price p = 0 and therefore the current supply or demand is c_{i}.
When a demand or supply changes, a new price p must be calculated based on f_{i}, and then the supplies and demands of other actors can be calculated, resulting in a new balance.
#: . There is an alternative way to describe the functions:
 Zero price is considered as 0 €/product unit. The true market price must be known. This function's parameters are more difficult to estimate. Jouni 06:16, 28 January 2012 (EET) (type: truth; paradigms: science: comment)
#: . There is also alternative possibilities for functional forms (p is the price of the product):
 Exponential: P0 + P1 * exp(P2*p  P3) Jouni 17:04, 28 January 2012 (EET) (type: truth; paradigms: science: comment)
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