Top: Energy injection over time in simulation L1.0. The solid black line shows the expected injection, E_tot, exp = L_AGN × t. The solid green line shows E_w, the amount of energy contained within the wind that is yet to be injected. The dotted red line shows E_inj, the actual amount of energy injected into the particles divided by η/2. Bottom: Relative error, Δ_inj = |E_tot, exp−(E_inj+E_w)|/E_tot, exp.