  The concept of energy of a signed digraph is extended to iota energy of a
signed digraph. The energy of a signed digraph $S$ is defined by
$E(S)=\sum_{k=1}^n|\text{Re}(z_k)|$, where $\text{Re}(z_k)$ is the real part of
eigenvalue $z_k$ and $z_k$ is the eigenvalue of the adjacency matrix of $S$
with $n$ vertices, $k=1,2,\ldots,n$. Then the iota energy of $S$ is defined by
$E(S)=\sum_{k=1}^n|\text{Im}(z_k)|$, where $\text{Im}(z_k)$ is the imaginary
part of eigenvalue $z_k$. In this paper, we consider a special graph class for
bicyclic signed digraphs $\mathcal{S}_n$ with $n$ vertices which have two
vertex-disjoint signed directed even cycles. We give two iota energy orderings
of bicyclic signed digraphs, one is including two positive or two negative
directed even cycles, the other is including one positive and one negative
directed even cycles.
