Based on Kuroda's identities, parabolic lossless nonuniform transmission line(NTL) can be represented by the equivalent circuit consisting of lossless uniform transmission line and lumped elements. By this way , the exact solutions of parabolic lossless NTL can be gained. For there are few good analytical methods in NTLs'sensitivity,in this paper, we uesd Kuroda's equivalent circuit and adjoint network method to derive the sensitivity formulas of parabolic lossless NTL.And then we proposed the way of lumped loss,like the method of dealing with the loss in EMTP,to deal with the loss of parabolic lossy NTL.And on the base of the way of lumped loss,we got the sensitivity formulas of parabolic lossy NTL. Using these formulas,we can calculate the sensitivity of arbitrary output with respect to arbitrary parameters of the network which includes parabolic NTLs.
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