General Virasoro construction on orbifold affine algebra

We obtain the orbifold Virasoro master equation (OVME) at integer order lam bda, which summarizes the general Virasoro construction on orbifold affine algebra. The OVME includes the Virasoro master equation when lambda = 1 and contains large classes of stress tensors of twisted sectors of conventiona l orbifolds at higher lambda. The generic construction is like a twisted se ctor of an orbifold (with nonzero ground state conformal weight) but new co nstructions are obtained for which we have so far found no conventional orb ifold interpretation.