Introduction
ElectroMagnetic Compatibility ( EMC ) is one of the main requirements for power supply system. Overestimation of EMC leads to unnecessary increase investment, and understatement — to the detriment of the additional power losses, reducing the life of electrical equipment, deterioration of product quality. In this regard, high demands are imposed on the validity and accuracy of methods for estimating how EMC at the design stage and in the operation of power supply systems.
EMC — effect on power–consuming equipment. This presents the practical relevance of the work.
To assess the EMC should have graphics changes ( even to assess the vibrations).
Practical Application of GOST 13109–97 on quality standards of electricity supply systems identified basic scientific controversy: the existing quality indicators voltage (PCN), targeted at time–constant electric periodically varying disturbances (interference), EMC, while in the existing electrical networks have a random noise character. Therefore, it becomes clear, with some interference ordinate compare regulatory quality index value of voltage and how to use those features of the periodic interference, which make no sense for non–periodic disturbances. This explains the need for probabilistic methods for analyzing processes in supply systems. Static modeling (simulation) processes х(t) in power supply systems can solve nonlinear problems, which have no analytic solution. In our case, to determine the parameters of the EMC must accurately simulate the characteristics of the input noise, which are known in advance the normal distribution function and an exponential correlation function.
Topicality
In practice, known only count one–minute voltage deviations in connection with the scientific interest of developing a method of synthesis of one–minute charts voltage voltage fluctuation.
First proposed method for the synthesis of existing values of one–minute values of stress, novelty, which is equivalent to replacing the one–minute averaging the equivalent inertial smoothing.
Original — one–minute chart.
Synthesis of recovery. The idea is that instead of the one–minute averaging is placed in an appropriate equivalent inertial smoothing with a time constant of 20 sec.
In models of EMC weighting filters are usually linear systems. Processes in the filters are described by linear differential equations of order n which can be large. Finding analytical solutions of these equations is difficult as in the deterministic and for random noise.
In such cases, even when n = 2 is reasonable to use the method of partial reactions, the essence of which lies in the fact that the filter is replaced by an equivalent system, which consists of n parallel connected inertia units of the first order. Partial response of each unit is defined very simply, and the desired solution reduces to the summation of the partial reactions.
The purpose of
There is 
— minute voltage deviation. We need to find U(t) without averaging over all phases, ie to use the synthesis (reconstruction).
In accordance with an equivalent inertial smoothing with a time constant of 20 sec.
We do 
Makes it possible to restore the graph U(t), assuming that 
It is well known for RC
it follows that
It follows that we must take the initial schedule 
and for him to add a timetable for its derivative multiplied by T = 20 c.
Since the voltage deviation is small, the rms averaging can be replaced by simple averaging.
Contents
In the linear model, EMC is the WF and the inertia or cumulative units. The initial conditions we assume to be zero, which corresponds to the inclusion of an object on a stationary obstacle. After switching on the output of the linear system takes unsteady transition process, and then comes the steady state ( theoretically, at 
), для которого определяются показатели ЭМС.
Deterministic input process can be defined in different ways. Given a realization x(t) response Y(t) is a way to solve a differential equation relating input and output processes in the wave function or by using the Duhamel integral:
where h(t) and g(t) — a transitional weighting function WF,
— auxiliary variable of integration.
Realization of the reaction starts at zero.
This method of " successive intervals is very useful when you set the process in the form of lattice functions: discrete sequence of ordinates. The value of the discretization step is so small that in between adjacent ordinates the process can be considered unchanged. The result is a step function with the same duration of each stage. For the same function solution of differential equations to get easier.
For periodic disturbances can not expect the transition process, and immediately receive a response in the steady state.
Firstly, it can be done by expanding the input process in the Fourier series. In this case, the amplitude of the harmonic is multiplied by the ACHF filter at the frequency harmonics and the phase of harmonics added to the value of phase–frequency functions of the wave function at the same frequency. The sum of all harmonics derived provides a periodic realization of the same cycle time as that of the input process.
Harmonics are functionally linked, but not correlated. Since their average value is zero, regardless of the squares of the phases of the harmonics of the effective values 
of harmonics summed:
If the solution is sufficient to know the effective value of the reaction, then any harmonic or a combination thereof may be considered separately, which is an advantage of harmonic analysis.
However, the application of Fourier series having difficulty with the choice of the number of harmonics taken into account, especially if in the WF is a differentiating element. In addition, a number not exactly reproduces used in the design of piecewise linear and step functions at the points of their break — even for an infinite number of harmonics.
Secondly, the reaction can be obtained using the general solution of differential equations of n–th order. In this case, in a general way to write expressions for the end of ordinates for each site, which are supplemented by conditions of equality of ordinates and n–1 derivatives on the boundaries of the site as well as at the beginning and end of the cycle.
Output
After the end of the study, we obtain data, information for one second take evidence that would lead to more accurate mean plot of the voltage on the time, and to assess further the deviation voltage.
Literature
- ГОСТ 13109–97. Межгосударственный стандарт. Электрическая энергия. Совместимость технических средств электромагнитная. Нормы качества электрической энергии в системах электроснабжения общего назначения. – Введ. в Украине с 01.01.2000.
- Кузнецов В. Г., Куренный Э. Г., Лютый А. П. Электромагнитная совместимость. Несимметрия и несинусоидальность напряжения. – Донецк: Норд–Пресс, 2005. –250с Свешников А. А.
- Бусленко Н.П. Моделирование сложных систем. – М.: Наука, 1978. – 400 с.
- Шидловский А.К., Кузнецов В.Г. Повышение качества энергии в электрических сетях. – Киев: Наукова думка, 1985. – 268 с.
- Шидловский А.К., Вагин Г.Я., Куренный Э.Г. Расчеты электрических нагрузок систем электроснабжения промышленных предприятий. – М.: Энергоатомиздат, 1992. —224 с.
- Курінний Е. Г., Циганкова Н.В. Імітація корельованних випадковіх процесів в електричних мермжах методом елементарних процесів. – Праці Донецького держ. техн. ун–ту. Серія "Електротехніка і енергетика", випуск 17. – Донецьк: ДонНТУ, 2000. – с. 242—245.
- Жежеленко И.В., Саенко Ю.Л. Качество электроэнергии на промышленных предприятиях. – М.: Энергоатомиздат, 2005. – 261 с.