Cost curves for energy

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Question

What costs curves should be used for different energy products?

Answer

Cost curves for energy(-)

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).

+ Show code- Hide code out <- formula.Op_en5478(dependencies.Op_en5478) cat("Computed changes in energy production and consumption in a new situation.\n") print(out)

Rationale

For detailed rationale, see Energy balance.

$\Sigma f_i(p) = \Sigma (a_i p^2 + b_i p + c_i) = 0$

$p = \frac{-\Sigma b_i \pm \sqrt{(\Sigma b_i)^2 - 4 \Sigma a_i \Sigma c_i}} {2 \Sigma a_i}$

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)

Formula

+ Show code- Hide code formula.Op_en5478 <- function(x) { data <- tidy(op_baseGetData("opasnet_base", x$curves[1]), direction = "wide") curves <- strsplit(as.character(data$Parameters), split = ",") coefficients <- data.frame(array(NA, dim = c(length(curves), 10))) for(j in 1:length(curves)) { coefficients[j, 1:length(curves[[j]])] <- curves[[j]] } coefficients[nrow(coefficients) + 1, 1] <- x$deviation for(k in 1:ncol(coefficients)) { coefficients[, k] <- ifelse(is.na(coefficients[, k]), 0, as.numeric(coefficients[, k])) } x.new <- polyroot(as.vector(colSums(coefficients))) x.new <- ifelse(abs(Im(x.new)) < 1e-6, Re(x.new), 1e+30) # Take only the real roots. x.new <- x.new[abs(x.new) == min(abs(x.new))] # Pick the root that is closest to zero (=BAU). y.new <- 0 for(k in 1:ncol(coefficients)) { y.new <- y.new + coefficients[, k] * x.new^(k-1) } temp <- data[1, ] temp[1, ] <- "Deviation" data <- rbind(data, temp) data <- cbind(data, data.frame(Result = y.new)) return(data) } dependencies.Op_en5478 <- list( curves = c("Op_en5478", "Cost curves for energy"), bau = c("Op_en5469", "Energy balance in Kuopio"), deviation = -5 )

See also

Urgenche research project 2011 - 2014: city-level climate change mitigation

Urgenche pages Urgenche main page · Category:Urgenche · Urgenche project page (password-protected) Relevant data Building stock data in Urgenche‎ · Building regulations in Finland · Concentration-response to PM2.5 · Emission factors for burning processes · ERF of indoor dampness on respiratory health effects · ERF of several environmental pollutions · General criteria for land use · Indoor environment quality (IEQ) factors · Intake fractions of PM · Land use in Urgenche · Land use and boundary in Urgenche · Energy use of buildings Relevant methods Building model · Energy balance · Health impact assessment · Opasnet map · Help:Drawing graphs · OpasnetUtils‎ · Recommended R functions‎ · Using summary tables‎ City Kuopio Climate change policies and health in Kuopio (assessment) · Climate change policies in Kuopio (plausible city-level climate policies) · Health impacts of energy consumption in Kuopio · Building stock in Kuopio · Cost curves for energy (prioritization of options) · Energy balance in Kuopio (energy data) · Energy consumption and GHG emissions in Kuopio by sector · Energy consumption classes (categorisation) · Energy consumption of heating of buildings in Kuopio · Energy transformations (energy production and use processes) · Fuels used by Haapaniemi energy plant · Greenhouse gas emissions in Kuopio · Haapaniemi energy plant in Kuopio · Land use in Kuopio · Building data availability in Kuopio · Password-protected pages: File:Heat use in Kuopio.csv · Kuopio housing City Basel Buildings in Basel (password-protected) Energy balances Energy balance in Basel · Energy balance in Kuopio · Energy balance in Stuttgart · Energy balance in Suzhou

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