I know what closing the loop means.
If the magnetic device you're referring to is impossible to loop then it's not much of a working device, is it?
I can't believe I'm reading this from a Moderator.
Closing the loop is not the only proof of over unity. That's a skeptic's argument, and it's patently false. In the example I gave, if heat is the desired output then the device is useful. But converting heat back to a magnetic field isn't something I've seen anywhere. It may be possible, I just don't know about it. But I also grant that it's not a great example, since flux density and temperature are incompatible units anyhow. It would be difficult to evaluate whether over unity is present.
Let's take the work of Bedini as a better example. He can charge batteries with pulses, and those batteries can observably provide real power, enough to light large banks of lamps. And yet the pulses can't be directed back to the battery used to run the device as it's operating, because that stops it from working. He can, however, swap the device's battery for one that has been charged and continue to run the device.
So, he uses one battery for several hours to charge many others. That's over unity. There's a net gain in the number of charged batteries. It is also geographically portable, fulfilling your requirement. The power gained can be measured as the number of usable amp-hours gained in the charged batteries, less the amp-hours provided by the machine's battery to charge them.
This is really basic stuff. If you don't understand that I have to wonder what you're doing here.
Now, as to why we consider Bedini's battery charger over unity. Conventional electrical engineering regards the charging process as inherently lossy. They say we have to pump electrons back into the battery by force in order to recharge them, and that this process is less than 100% efficient (typically more like 80%). So, maybe Bedini has just invented a more efficient way to charge a battery, but it's still better than the currently acceptable method by a large margin.
"Any sufficiently advanced technology is indistinguishable from magic." - Arthur C. Clarke