Engine low power?

After more than 20 minutes of city driving or more than 30 minutes of highway travel the trucks rpm gauge begins to surge. In the city at stop lights the truck will bounce between 500 rpms to 1100 rpms. Then as I accelerate there is no engine response. With the gas pedal to the floor the engine is still idling. After I idle to the side of the road and be patient it responds after about 5 minutes. Yesterday same problem occurred except I had to park overnight on roadside and then the following morning it started up no problem. What could be causing this?
On interstate travel the battery light has been coming on whenever I accelerate even the slightest amount. And the batteries were replaced this last month.
Took the truck to Auto Zone for their engine scan services and since the check engine light isn't on they wouldn't scan it. All during these issues the check engine light has yet to come on.

The engine is the 6.0 Powerstroke diesel engine. This also is the turbo engine. The alternator has never been changed in the vehicle.
Matter of fact other than routine maintenance nothing has been changed on the vehicle to my knowledge.
Another issue that I experienced today in addition to aforementioned ones was that the the turbo psi gauge would barely move whenever I would accelerate. Didn't matter whether it was a gentle or hard acceleration it was like the turbo isn't engaging at all. I am at a complete loss as to what is causing this. If it is something as minor as sensors or fuses or a major component failure

I did the fuel filter and it helped but it still doesn't have the power when it was new do you think tis the turbo?

I have same problem. Yesterday truck would only idle even with peddle all the way to the floor. Then when I turned it off and restarted it idled at about 400 rpm tili it died. I checked the turbo it was shot so I got one from the junkyard, worked great!

Loss of power on acceleration. Turbo runs maybe 5 psi unless I step on it. Then maybe 15-20psi. Shifting funny. I have to release gas to get it to shift after about 3rd gear. Egr valve was cleaned last night but no performane gain. Checked oil and coolant and they are not mixing in eachother. Plastic peice by turbo has small crack where screw is screwed in, but I dont think I would loose that much from it.

Sometimes when I back off the accelerator on a good pull and at time on level ground it is like the ignition was turn off and turn back on and a wha wha wha wha sound and loss of power after about ten seconds or less. All power is back and the truck runs fine. Does anyone know what causes this?

Thanks, Bob

Both fuel filters have been changed. I believe the problem is somewhere else. But do not know. Thanks, Bob

No codes, no dash lights.

Today is Wednesday June 5th 2019 it is 10:39 in the morning I came to a Wertz tractor power equipment to drop off my mower, on my way here my truck stalled as I turn the corner I had no gas pedal action the truck shut down. I immediately turn the ignition back on and a way I went. Last night while arriving at my home my truck soon as I park my truck it turned itself off. I've had this problem in the past when the turbo was hooked up the mechanic at the dealership said the turbo was fine yet it was he did not tell me it was unplugged. One day I plugged it in the very next day I had big problems my truck stalled choked and you push on the gas pedal and nothing happened. I sat there for fifteen to twenty minutes started it back up it would go for a couple minutes and then start acting all crazy again. So why unplugged the turbo at that point in time everything went back to normal, however today turbo is not plugged in and all those symptoms are happening all over again. The lady above Miss Rose I read her story and the answers that were given. So I'm going to try a couple of your the answers that were given.

I will get them check out. Thanks again, Bob

Will do.