Based on large grid operation practices and focusing on unified optimization of power balancing resources across the entire grid

the integrated power balancing (IPB) mechanisms of new type power system are studied in this article. Firstly

mathematical model of IPB is structured

which is illustrated with core factors such as "balancing zone"

"transmission channel" and "transmission routine". With the mathematical model

network equations for IPB are then deducted to characterize network structure constraints. Secondly

power balancing objects such as power supply and new energy consumption are brought with network equations

based on which dynamic equations are deducted as IPB's basic mathematical principles

which are composed of four process forms—naturally mutual aid for power supply

costly mutual aid for power supply

naturally mutual aid for new energy consumption

and costly mutual aid for new energy consumption. Thirdly

practical engineering conditions are brought into dynamic equations

with which 1 basic type as well as 8 sub-types of IPB for engineering practices are analyzed. Lastly

all the theoretical analysis is verified by examples to ensure its effectiveness and practical significance.