Regarding the boiler as a special mixed type heater

stipulating the auxiliary steam-water passing through the boiler as the fiveth auxiliary steam-water

and on the basis of studying the structural regularity for the fiveth auxiliary steam-water

the generalized energy-efficiency distribution matrix equation has been deduced.The obtained matrix equation has comparatively well solved the problems existing in the energy and efficiency distribution matrix(EEDM)

i.e.insufficient consideration paid to the special auxiliary steam-water which can affect the interal flow rate variation in the boiler

being extension and supplement of the EEDM.Through practical examples in application

the generalized EEDM equation has been verified.Results show that the said method is correct in comparison with the traditional heat-balancing method.