A new control algorithm for log2(N, 0, p) switching networks composed of 2x2 switching elements has been proposed recently. Under this algorithm. log2(N,O, p) switching networks with even number of stages are wide-sense nonblocking (WSNB) if p is the same as for the rearrangeable nonblocking (RNB) one. In this paper we extend this solution to logd(N,0,p) switching networks. The control algorithm is appropriately modified to switching networks composed of dxd switches. Wide-sense nonblocking operation of such switching networks with even number of stages is proved. We showed lhat number of planes needed for WSNB operation is also the same as in RNB switching networks.