The testing of protective relays has become more and more important as result of technological advances. New relays may be designed to act fast, being particularly sensitive to the transient part of the fault supposed to be detected. A common procedure is either the use of real recorded faults during tests, or simulating these faults by computer programs, such as the EMP. However, it is difficult to characterize a unique set of transient waveforms sufficientfor the tests. As a consequence, it was suggested [16] the use of a Monte-Carlo type of procedure to generate waveforms in order to cover most of the possible transient situations. In this approach, the faulted transmission line is simulated, being fed by a fictitious equivalent system consisting of a power generator with an RLC load. When the fault occurs, there is resonance at particular chosen frequencies. These frequencies are used to characterize the fault waveform. In this work a travelling wave method of simulation is used, based on digital filters, looking for real time operation. As a result, it was developed a synthetic procedure for generating the fictitious system using lossless transmission lines instead of RLC networks. The software runs on a IBM PC type computer having a DSP board based on a TMS320C25. The transmission line parameters are evaluated in the PC and transferred to the DSP board, where real time the simulation is performed. For cases with only one lossless transmission line, the system works with a sampling frequency of 4.08 KHz, representing fault transients up to 20.04 KHz. Off-line simulation is available as well, primarily to offer a comparison basis between the fixed point DSP implementation and a floating point version. Comparison with other off-line simulation procedures are also presented with good agreemment between on-line and off-line procedures.