And XBox One isn't running at a nominal 2.3Ghz (3.3Ghz on Turbo), or running two 7200rpm drives. The systems aren't directly comparable, but there are components in the MM running at much higher speeds than the Xbox one. The problem for both boxes is the same.
If we dive into the world of PC hardware for a moment.
A Core i7-3790X (Intel rated 150 watt TDP) at 3.5-4.0 Ghz (depending on load) and 6 cores with 12 threads draws ~147 watts for the system when 1 thread is loaded and ~265 watts when 100% loaded (all 4 cores). That is for the entire system with minimal load on the GPU (in idle state). [
http://www.xbitlabs.com/articles/cpu/display/core-i7-3970x_7.html#sect0 ]
Total system power with a 7790 when running a game (in this cases Crysis 3) which doesn't fully load the CPU has a load power consumption of 377 watts. Since it isn't loading the CPU's fully as in the above (basically identical testbed hardware) then the powerdraw due to the 7790 is between 230 watts and 112 watts. Since Crysis 3 is good at using multiple cores it's likely closer to 112 than 230. [
http://www.xbitlabs.com/articles/gr...-hd-7790-geforce-gtx-650ti-boost_8.html#sect0 ]
I used the 3970X initially in order for us to somewhat isolate the potential power draw of the 7790 as they are using the same basic hardware platform.
That certainly makes it seem like the CPU is drawing the majority of the power, but what if we compare it to a currently high end CPU that isn't being factory clocked at such an extent that the power target is well past the bend in the power curve, thus power requirements shooting up far faster than clock speed ramping.
Take a Core i7-4770k (Intel rated 84 watts TDP) at 3.7-3.9 Ghz with 4 cores and 8 threads (still far more powerful than the CPU core in the next gen consoles) which draws 95 watts with 1 core loaded and 164 watts with 100% load. Now, it's starting to look more equal. [
http://www.xbitlabs.com/articles/cpu/display/core-i7-4770k_11.html#sect0 ]
Power requirements for the CPU in the next gen consoles is going to be far lower than the Core i7-4770k. Likely AMD rated somewhere between 10-20 watts if AMD rated it in isolation from the GPU core. The majority of the rest of it is going to be consumed by the GPU core. Which makes sense as minus the board, component, and memory power requirements of a discrete card, that'd be right about where you would expect it to be for the GPU alone with the specs that it has.
Now, go to the PS4 GPU where you have 50% more compute units (the most power hungry units in a GPU) and
IF those are pushed to the max the SOC is going to consume significantly more power than the Xbox One SOC when pushed to the max.
As for a "2d idle state" where you are just playing a 1080p video. A 7850 still requires a fan for cooling when playing 1080p video. You likely could play 1080p video passively cooled with a 7850, but it would require a heatsink much larger than what you could comfortably fit in the PS4 enclosure, especially when you take into consideration that there isn't a lot of vents to prevent heat from pooling within the case without active airflow. Combine that with the fact that there isn't a lot of empty space in the PS4 enclosure (compared to a PC enclosure with lots of space available to handle passive cooling of moderately powerful GPUs) to absorb that heat before heat buildup starts to compound leading to a rapid cascading increase in internal case temperatures and thus chip temperatures.
Basically the PS4 case was designed more around the esthetics. Then a cooling system developed to enable that. The cooling system could be quite efficient, but due to the design of the case, it requires active cooling at all times. It is similar in philosophy to a fully shrouded GPU cooler. It is very efficient for the space involved and especially when you do not know the dimensions (and thus available space or airflow within a case to accommodate an open cooler) but requires active cooling without which the GPU would quickly fry itself even doing something as simple as video playback. An open (minimal shrouded) cooler on the other hand can be quieter with greater cooling in a large case with lots of open air (possibly even passively cooled at lower load states), but could be disasterously bad and noisy if put into a case with limited internal space and limited airflow (like the PS4).
Looking at the case design of the Xbox One combined with the lower power SOC means that it is possible to passively cool something like that in lower load states. With the PS4 case design combined with a more powerful and power hungry SOC, that just isn't going to be the case.
Regards,
SB