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I am using the system "cart discount settings" and it is working well in my tests. I am now adding items to my site that are impossible to calculate shipping i.e. satellite dishes. Therefore the customer buys the item free of shipping and pays for the shipping on delivery.

The question is how do I set these items without the cost of shipping?

There is no straightforward way to achieve what you want. The long winded way is to set two discounts for each satellite dish product that you have.

For instance, your product is priced $15 and your current discounts look like

10% for min. $10 order
20% for min. $20 order
30% for min. $30 order

Then, you can create following two discounts

100% for $15.00 order <--- so there is no shipping charged if only a dish is bought 10% for $15.01 order <-- to resume the prior discount

There are two issue in this scheme though.

1. If the total of your any other products is $15, then shipping would go 0. You can counter that by setting the price of your product to $15.01 or something so you can be sure that no other products together will form this total.

2. If buyer is purchasing two or more satellite dishes in one order, then this scheme will fail and shipping will be charged as usual.