I done the withdrawal and re-contribution a couple of times in my self-managed super fund. Assuming you are over 60 (tax-free withdrawals), past your preservation age and stick within the contribution caps, etc...
- the contribution will go into your accumulation account (best if the balance is close to zero);
- you then start another income stream using the full balance of the accumulation account (if you leave the funds in the accumulation account then the earnings/increase in value will be taxable and the proportion of taxable to non-taxable will increase and you'll end up back where you were, or worse).
The problem with this is that you contaminate the new tax-free money with the taxable component of the existing pension account.
A better strategy IMHO is to minimize the quantum of the pension from the new pension account and take the majority of your income needs from the original pension account. Rinse and repeat until the full value of the original account has been withdrawn thereby eliminating (or nearly eliminating) the fund's tax liability. (Yes, you will have additional fees while you have more than one pension income stream but this is a small price to pay IMHO.)