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Solving this without a dummy bus is a little tricky, even PSS/E uses a dummy bus to calculate open end line faults in short circuit module!

If you still want to do it without a dummy bus you might do something like this:

Apply the SLG with an equivalent positive sequence shunt at side B of the line.
Run for 6 cycles. Clear the fault and disconnect the line.
Apply an equivalent positive sequence shunt at side A of the line. (corresponding to the effect of the real fault at side B of the line, with line breaker at B open)
Run for 3 cycles.
Clear the fault.

The tricky thing is to calculate the fault shunt in step 3 above.

Solving this without a dummy bus is a little tricky, even PSS/E uses a dummy bus to calculate open end line faults in short circuit module!

If you still want to do it without a dummy bus you might do something like this:

Apply the SLG with an equivalent positive sequence shunt at side B of the line.
Run for 6 cycles. Clear the fault and disconnect the line.
Apply an equivalent positive sequence shunt at side A of the line. (corresponding to the effect of the real fault at side B of the line, with line breaker at B open)
Run for 3 cycles.
Clear the fault.

The tricky thing is to calculate the fault shunt in step 3 above.

EDIT: Perform the simulation in the following way by using a dummy bus:

Do the following.

1: Do LTAP and place the dummy bus at From bus line end.

2: Start simulation, run to x seconds and add LG fault at Dummy bus.

3: Simulate for 6 cycles.

4: Clear fault.

5: Trip line from Dummy to From bus.

6: Apply LG fault at Dummy bus (new calculation of equivalent shunt with line open-end will be done)

6: Run for 3 cycles.

7: Disconnect Dummy bus.

8: Run to x seconds.