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# Production calculations

### Calculations

#### Production

The Potential P50 depends on the Monthly Distribution.

With Monthly Distributions the energy production distribution over different months can be specified. The production over all months is 100%. By default each month has a production percentage of 8.33% = 100% / 12 months. The input can be either in percentage or in absolute values.

The Potential PN depends on the Confidence.

The Production amount gets affected by Standard Deviation and p-Value. With the help of these two values, you can calculate the Safety Reduction between the Reference Scenario (PN) and the P50 Scenario.

Safety Reduction = 1 - (Production PN / Production P50)

The Production PN depends on the Losses of the Production Units.

### Loss Mode

With losses production diminishing factors can be considered. The losses are multiplicative linked.

If cable- and transformer losses reduce the production by 2% and grid losses by further 3%, the Production Units have a efficiency of 95.06% = 100% x ((1 - 2%) x (1 - 3%)).

### Efficiency Mode

The efficiency sets the efficiency of the Production Units in percent.

When a facility has a guaranteed availability of 97% the Production Unit has a efficiency of 97% = 100% x 97%

Degradation is an "age discount", which defines the percentage the Production Unit decreases with increasing lifetime. Degradation is a dynamic amendment over time series. It's set in percentage per year, but the decrease occurs every month.

A facility with a yearly Degradation of 1.5% and a Production of 100 MWh/a respective 8.33 MWh in the first month has the following Production and Efficiency:

01.201602.201603.201604.201605.201606.2016...01.2020
Production in MWh per Month8.338.328.318.308.298.28...7.84
Efficiency100%99.8899.7599.6399.5099.38 94.17%

The particular Efficiency is calculated as follows:

Efficiency(t) = Efficiency x (1 - monthly Degradation)t
Efficiency(06.2016) = 100% x (1 - (1.5%/12))5 = 99.38%

The displayed Efficiency for each Production Units and for the total park shows the average Efficiency over the whole Project Lifetime.

### Loss Interaction

All loss modes are multiplicative linked. The Efficiency of a facility with an availability of 97%, cable- and transformer losses of 2% and a Degradation of 1.5% is calculated as follows:

Efficiency(t) = 100% x (1 - Lossesi) x Efficiency x (1 - Degradation)

The Efficiency after 15 months (Start = 0) is 93.64%:

Efficiency(15) = 100% x (1 - 2%) x 97% x (1 - 1.5% / 12)15 =  93.29%

The Production amount depends on the Production Units.

The Production amount depends on the Potential P50, on the Security Cut resulting from the selected p-Value and from the Standard Deviation, on Losses (Loss, Efficiency and Degradation) and on the Monthly Distribution.

The electricity production is calculated according to the following formula:

Production PN(t) = Potential P50 x (1 - Security Cut) x Efficiency(t) x Monthly Distribution(t) x Active(t)

with Active(t) = 1 if t >= Start and t < End; otherwise Active(t) = 0

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