The paper proposes synthesis of multi-dimensional, multi-pole, non-linear, parametric, analogous or analogue-digital circuits and systems with the help of multi-dimensional operator of O.Heavyside.

The proposed method of synthesis is illustrated by realization of a dynamic corrector.

The paper contains vector-parametric equation of a spiral, expressions for calculation of the magnetic field induction established by an electrical conductor of a spiral shape, and also radial and tangential forces acting per unit of a conductor length. Calculation data on distribution and values of electro-dynamic forces in separate turns are given in the paper. The paper also shows a change in direction of electro-dynamic force action in the outward turn of the spiral conductor.

The paper investigates functional diagnostics for signaling positions of automatic switches, disconnectors and their earthing knives that permit timely to reveal mistaken results of signaling.

The paper considers a problem pertaining to control of electric load at enterprises with piece-wise-continuous expenditure characteristics at various electric energy tariffs. Open Joint-Stock Company «Моzyrsol» has been taken an example for optimization of the enterprise operational regimes according to a criterion of minimum expenses for electric energy purchase, a criterion of minimum electric energy expenditure and complex optimization by two criteria simultaneously with two-rate and two-rate-differential tariffs for electric energy. Results of the optimization con-tribute to saving not only electric energy but money resources only due to re-distribution of volume of manufactured products.

A simplified algorithm for calculating maximum rapprochement of adjoining phases of collecting buses with drops that is based only on available geometrical span dimensions has been developed in the paper. The paper reveals an opportunity for prohibitive rapprochement and whipping of wires of one phase with the wires of adjoining phase branches and recommendations on its elimination are given in the paper.

The paper contains results of the investigations pertaining to thermodynamic steam characteristics of the operating pipe-line, analysis of steam flow regimes, influence of heat losses on temperature fall along the length. The eh-diagram presents changes in e and e values which are caused by decrease of mean temperatures with the given pressure value at pipe-line inlet and outlet. The paper shows that steam enthalpy at the pipeline outlet depends on inlet enthalpy, ambient temperature and entropy difference.

The constructed nomograph makes it possible to forecast steam temperature fall in the pipe-line with the purpose to ensure more efficient usage of its thermodynamic potential.

A methodology for heat calculation of stacks with pressing lining in order to determine indices of temperature state of the lining and bearing shaft during shut-downs, starts and also stationary conditions is presented in the paper. The paper contains results of test calculations for stacks with the purpose to prevent crack-formation at their separate zones along the height and ensure their reliable operation.

The paper contains a mathematical model and a numerical solution of non-stationary heat conduction with variable heat sources that are acting during the whole hardening process. In this case movement of the front of phase transformations along board section is taken into account.
The developed mathematical model is applied for calculation of temperature patterns and temperature stresses while obtaining gypsum boards of groove and ridge design.

A special attention has been paid lately to creation of the required microclimate in buildings being used for various purposes. In order to create normal air environment in buildings it is necessary to develop forecasting models with the purpose of periodic regulation of air consumption which is supplied to the buildings according to parameters of external climate and character of the work to be carried out in these rooms.

The paper considers possibilities to apply modern information technologies for forecasting air consumption. The proposed model allows to create a qualitative air regime in the rooms with due account of power saving.

The paper considers a vibro-protective magneto-fluid support that uses elastic properties of magnetic fluid with a free surface in magnetic field.

The paper has experimentally revealed that the analyzed structure is characterized by better noise absorbing characteristics.

The conducted experiments have made it possible to conclude that there is a possibility to use vibro-protective magneto-fluid supports within the frequency range from 0 to 300 Hz, amplitudes up to 2 mm and unit load up to 2,5 · 10 4 Н/м².

The paper presents a new power engineering plant which is designed for desired obtaining important technological products from products of fuel combustion. The paper also considers an influence of regime factors on expenditure characteristics of Power Engineering Plant-1. Amount of the obtained technological products has been also estimated in the paper.