Reactive Power Loss

Do we have reactive power loss like active power loss?

Yes.

The role and purpose of reactive energy are to maintain the em fields within the electrical network. Although reactive energy only flows within such networks it requires reactive current which together with the active component of current dissipates heat in the conductors and as such it too experiences or creates an active power loss within the transmission and distribution system. Note that the power losses are due to the MAGNITUDE of the current and not just the active component.

So S=|I|2Z=P+j∗Q=|I|2(R+jX)