I have the following 'ranges' that describe the full breadth of uncertainty range from a number of interdependent parameter inputs in building energy simulation. There is no single formula that describes the relationship between these variables. These variables however interact via a complex number of schedules, fundamental equations and coding modules.

Is there any publication that can advice on how to combine these uncertainties to arrive at a single overall value? If I use ordinary compound error formula (or uncertainty propagation formula), I lose the negative ranges that are just as important to me and I end up with positive values only (which isn't what i want and perceive to be a reflection of the overall uncertainty).

Weather : -4% to 6.1%

Occupant: 4 to 26%

Mechanical systems: -15.3% to 70.3%

Controls: -28.7% to 79.2%

Overall uncertainty ???

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