For controlling the gloss of a paper web, a gloss controller is known, the operating principle of which is as follows : - the gloss of the paper web is measured - if the gloss is insufficient, steam is added - steam is added until the gloss is as desired.

This type of gloss controller for a paper web moisturised on its surface can- not be used in connection with heated multi-roll calendars for the following reasons: - the derivative of the response function of steam changes from positive to negative at a certain steam level, that is, the response resembles a down- wards opening second-order polynome, in other words, following the addi- tion of a certain amount of steam, the addition of steam in fact deteriorates the gloss of the paper web compared with the optimum amount of steam.

- when gradient calendering in practical conditions, the body moisture and surface moisture of the paper vary. The response of steam is very dependent on the amount of the surface moisture.

The reason for the form of the steam response and the violent effect of moisture are the moisture gradients appearing in the direction of thickness of the paper. In an on-line process, and especially in gradient calendering, these are much greater than in conventional calendering. The appearance of gradients is also affected by higher than conventional process heats.

The aim of the invention is to provide a method in which the above- mentioned factors are taken into account when supplying moisture to the web to obtain optimum gloss.

The method according to the invention is characterised in that moisture measurement is carried out both on either surface of the web and as through-measurement, and the measurement results thus obtained are specified by means of a thermodynamic model which calculates the moisture of the web in three layers, and that the results thus obtained are used for controlling the supply of moisture to the web.

Further preferable developments of the invention are disclosed in the de- pendent claims.

The calender is controlled by a thermodynamic model, by means of which can be calculated : - the moisture of the paper at different points of the calender - the moisture and amount of heat in the paper caused by the addition of steam -3-layer moisture gradient and thermal gradient.

Moisture measurement is carried out as scanning measurement over the total width of the web at the beginning and end of the measurement period.

If necessary, to improve the predicting capacity of the model, moisture measurement may, in addition, be carried out as point measurement at desired points between the extreme points of the measurement period.

The moisture of the paper is calculated in three layers by means of the model. If the moisture of all layers is at target moisture, the quality of the paper is optimal. This is due to the fact that, in such a case, the gloss does

not deteriorate substantially as a result of the drying or post-moisturisation.

The above phenomena also explain the form of the response of steam and moisture in general with respect to gloss.

The moisture of three layers is measured by means of two surface meters and by through-measurement. Through-measurement gives the average moisture after calendering and the surface measurements give the ratio between the surfaces. The measurement is specified by means of the model and the result is changed to three layers.

The method is preferably used for paper grades or board grades, the surface of which compresses more during calendering than the central part. The method is particularly suitable for gradient calendering, where the main principle is that the paper is wetted only on the surface and not throughout the thickness of the entire web. The fibres on the surface of the paper are arranged more uniformly in the hot calender nip due to the effect of moisture, pressure and heat, while the central part of the paper remains as it was before entering the calender nip. The inside of the web is dry enough to recover after the nip, whereas the moist and hot surface is in more plastic form and is thus deformed.

By means of the model, steam is added so that following the calender, the moisture gradient is even in the direction of thickness of the web or other- wise as desired. Thus, each steam pipe can be adjusted to provide only the required-and thus simultaneously the optimum-amount of steam.

The method can be used in both on-line and off-line calendars.

The method is preferably used for SC-paper.