Line Loss Incr

Units:	-
Mode:	Input Only
Multi-band:	True
Default Value:	0
Validation Rule:	Any Value
Key Property:	No
Description:	Interconnector loss function linear parameter for reference direction flows
Detail:

Line Loss Incr is the linear (first-order) term in the equation that defines losses for flows in the reference direction.

This value applies in the counter-reference direction if Loss Incr Back is not defined.

NOTE: Loss Incr and Loss Incr Back multiply the Flow with positive numbers in the reference direction and negative numbers in the counter-reference direction i.e.:

For Flow in the reference direction (positive flows):

Loss = Loss Base + Loss Incr × Flow + Loss Incr 2 × Flow²

and for the counter-reference direction (negative flows):

Loss = Loss Base Back + Loss Incr Back × Flow + Loss Incr 2 Back × Flow²

Thus when using Loss Incr and/or Loss Incr Back alone to define a single linear loss function Loss Incr should be a positive number and Loss Incr Back a negative number. For quadratic loss equations however, these properties could be either sign.

Example

The following input defines the loss function and associated Marginal Loss Factor shown in Figure 1.

Property	Value
Loss Base	0
Loss Incr	0.092377612
Loss Incr2	0.000676456
Loss Base Back	0
Loss Incr Back	-0.0748
Loss Incr2 Back	0.00118245

Figure 1: Example Line Loss Function and Marginal Loss Factor

If we now linearize the above quadratic taking the average negative flow as one function and the average positive flow as the second function.

Property	Value
Loss Base	0
Loss Incr	0.253012445
Loss Incr2	0
Loss Base Back	0
Loss Incr Back	-0.213285658
Loss Incr2 Back	0