I always thought the impulse engines were fusion powered, but if a warp field is needed to lower the inertia of the ship,maybe you need both.
Certainly something is needed to lower the overall mass of a ship - there's simply not enough space to store the fuel needed to accelerate the Enterprise from 0 to 0.5c as depicted in the show!
Ahh good memories

I think it's worth revisiting the PCA cathedral tubes theory. Not quite had a chance to think about whether it fits all the scenarios though...
Fortunately I can mine some of my earlier posts for some of those scenarios

Okay, here we go:
SEASON ONE
Both engine rooms looked like the S1 version, likely not updated since the days of Pike. In the lower levels AKA Engineering Hull the Power Converter Assembly (PCA) is a hardy piece of legacy tech from the previous century, inefficient but reliable. While the PCA can be used to convert the M/AM energy coming from the nacelles into a form compatible for ship systems, mostly it is used to redirect that raw energy into the 3 (di)lithium crystal circuits (DCC) housed in the deck beneath the engine room, which can carry out the conversion far faster and more efficiently.
The Impulse Engine reactor in the saucer has its own fuel supply (essential for use in saucer separation) but generally uses some of the raw nacelle energy for propulsion. The PCA by the saucer engine room can in turn convert some of this raw energy, or better use its own DCC which is housed under the floor. Under normal circumstances the power load draw is shared between all 4 DCCs, but under extreme circumstances they can all be brought to bear (and the PCAs too!).
WNMHGB: The "space warp" ability of the nacelles is gone, but they must still be able to generate a sufficient mass reduction field to allow the M/AM Impulse Reactor to propel the ship at near lightspeed. The maximum range for this operation is determined at "a few light days", after which there won't be enough fuel left in the Impulse reactor to allow them to leave the orbit of Delta Vega (well, certainly not the solar system anyway). No mention is made of the PCA or crystals, so we may be free to assume that those systems are operating normally off the nacelle "mains", even if the nacelles are currently incapable of propulsion.
Mudd's Women: The Warp Engines are undamaged, but the rescue operation overloaded and destroyed the crystals along with both PCAs. When Scotty says that they "blew the whole converter assembly" he is referring to the combined system across both primary and secondary hulls (he does this again in
Elaan Of Troyius). This means that the inertial dampeners, gravity field, deflectors and other life-saving essentials are solely dependant on "battery" power (probably some sort of small fusion reactors). They exhaust all of their Impulse fuel on the trip to Rigel, leaving themselves in a "shaky" orbit.
The Enemy Within: Evil Kirk hides down in the secondary hull Engine Room. It is sparsely populated, since the process is largely automated and Scotty tends to use the saucer room as his engineering headquarters. The large vertical power conduit only seen here and shot by Evil Kirk may be connected directly to the DCCs.
The Naked Time: Scotty's HQ in the saucer is taken over by the intoxicated Lt Riley
Conscience Of The King: Here we see Lt Riley on duty as the sole officer on deck, monitoring the automated functions in the secondary hull engine room.
The Alternative Factor: All four crystal paddles are removed and placed into "re-amplification" chambers. These paddles are the industry standard form of dilithium, but starship DCCs are designed to be able to utilise natural crystals as well, since they are may have to make use of whatever is available out on the frontier.
Tomorrow Is Yesterday: Prior to this episode the Enterprise put in at Cygnet Fourteen for general repair and maintenance, along with various upgrades following the appalling weapons failures in
Balance Of Terror. The relay equipment under PCAs were replaced as well, although the larger size of the more robust relays led to the PCAs being raised higher in relation to their respective engine rooms. Specifically - more horizontal pipes are now visible through the mesh. The white "belaying pin" style control rods may also have been installed in the secondary hull engine room at this time (seen in
Space Seed)
SEASON TWO
An engineering upgrade program that had been slowly rolled out across all starship-class vessels was finally given to the Enterprise, some time prior to
The Changeling . Maybe this is where Scotty and Enterprise were off to in
Metamorphosis, explaining why Kirk
et al had to use a shuttlecraft? As a result of these upgrades:
- Accessibility to and from each Engine Room was increased by the addition of an upper walkway and a tri-ladder was installed between the 3 engine room levels
- Control consoles are upgraded to more compact versions.
- Old, redundant equipment was removed from the ceiling area, exposing similar looking support beams to what had been there before.
- There is now a lot of open floor space in the saucer engine room, presumably as an additional working area or perhaps for future expansion?
- In the secondary hull engine room (which I don't believe we see at all this season) a dedicated M/AM reactor monitoring room is installed at some point, although not actually seen until the events of That Which Survives in S3.
- In the saucer engine room a DTD was installed over the central DCC articulation frame for quicker access and maintenance of the reactor (although actual access to the crystal paddle was still only possibly via the deck below).
Doomsday Machine: In a situation not dissimulator to that of
Mudd's Women, the Enterprise finds her entire antimatter supply "deactivated". All that's left is is the Impulse reactor and while it can make use of the main deuterium tank, with all the shields, phaser action and high speeds in this episode the fuel will be depleted within 8 hours
SEASON THREE
An upgrade to the DTD means that direct access to the dilithium paddle is now possible, for faster inspection and replacement. We see that the secondary hull engine room is staffed by more than just a single officer now (in
That which Survives)
Elaan of Troyius: There's a convoluted mess of apparently contradictory statements in this episode but I think they can be reconciled. First, Kryton is seen messing around with the dilithium paddle unit. Upon discovering him and investigating the issue Scotty tells Kirk that "the anti-matter pods are rigged to blow up the moment we go into warp drive." After the advert break however, Scotty has revised his assessment of the situation - the pods aren't merely rigged to blow, there's an actual bomb! That's fine, as it is probably just shorthand for the explosive overload that Kryton has set up. In any event, there's nothing Scott can do to about it:
KIRK: Scotty, that bomb he planted. Can you dismantle it?
SCOTT: Not without being blown halfway across the galaxy.
KIRK: Give us every ounce of power you can from the impulse drive, and find a solution to the bomb.
Before long however, there is another problem:
SCOTT: I've got bad news, Captain. The entire dilithium crystal converter assembly is fused. No chance of repair.
SCOTT: It's completely unusable.
KIRK: No chance of restoring warp drive?
SCOTT: Not without dilithium crystals. We can't even generate enough power to fire our weapons.
No mention of the "bomb"...so it seems our intrepid engineer found a solution as ordered? He couldn't dismantle the setup, but could he have used the raw energy converting tech of the PCAs and DCCs to bleed off the energy from the explosion and then harmlessly vent it? Very creative! Unfortunately, the dilithium decrystalised more than he expected and now they have no PCAs, no dilithium and as such no way to tap the main engines (nacelles) in the upcoming combat situation; certainly nothing for the structural integrity field or the inertial dampeners so warp speed (while technically possible) is also not an option if anyone wants to live

Since there is no power for phasers either, I think we can assume that Kryton also managed to drain the backup power supplies. All they have is low manoeuvring speeds from the Impulse Engines. If only there was a dilithium crystal somewhere...
Paradise Syndrome: We see a situation similar to Mudd's Women, but from the Engine Room POV. The strain of using all 4 DCCs and PCAs is seen as they burn themselves out and we are told that the warp drive is junk. The Enterprise spends the next 60 days slowly retreating in front of the asteroid. No mention of power problems this time. Is the ship coasting on Newtonian speeds? With no enemies in sight and no high speeds required, it is entirely possible.