Hello everyone !
I have carefully read the rules and i'm missing some points about Power Tokens.
Page 4 :
"Place all Power tokens (for all Houses) in a central pile. This pile of Power tokens is referred to as the “Power Pool.”
"Each player then takes five Power tokens matching his House from the Power Pool."
=>Here, it's clearly written "matching his House".
Page 16 :
"When a player resolves a Consolidate Power Order, he removes the Consolidate Power token