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1

Optimum placement of measurement devices on distribution networks using Integer Linear K-means Clustering method

Sulistyowati Riny

Przegląd Elektrotechniczny

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2020

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R. 96, nr 10

124--128

EN

In distribution networks, PMU (Phasor Measurement Unit) is required for each node or bus, but the cost of installing PMU is quite expensive, so optimization of PMU placement is required. This study uses the Integer Linear K-means Clustering method and uses the parameters of voltage, current and impedance. This method is a combination of Linear Integration and K-Means methods used for optimizing PMU placement. The object used for research is the Bendul-Merisi distribution network which has 11 buses. The results showed that the Integer Linear K-means Clustering method can be used for PMU placement optimization. With a network of 11 buses, only 3 PMU is needed, resulting in a reduction in the number of PMU by 73%.

PL

W artykule zaproponowano metodę optymalizacji rozmieszczenia w sieci układów do pomiaru fazy. Zastosowano kombinację metod: Linear Integration I K-means. Na przykładzie sieci w Bendul Merisi (Indonezja) zredukowano liczbę mierników o 73%.

2

Bayesian Control of a Discrete-Time Linear System with Uniformly Distributed Disturbances

Walczak D.

Mathematica Applicanda

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2015

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Vol. 43, No. 2

173--186

EN

The main objective of this article is to develop Bayesian optimal control for a class of linear stochastic discrete time systems. By taking into consideration that the disturbances in the system are given by a random variable having a uniform distribution with a natural parameter, we prove that the control in the sense of Bayes is the solution of a linear system of algebraic equations for the conjugate priors.

PL

W pracy tej rozważa się zagadnienie sterowania optymalnego liniowym systemem dynamicznym z dyskretnym czasem, przy addytywnych zakłóceniach. Zakłócenia są niezależnymi zmiennymi losowymi o jednakowym rozkładzie podanym z dokładnością do parametru. Sterowanie odbywa się w układzie zamkniętym. Funkcja strat to nieujemnie określona forma kwadratowa zależna od stanu systemu i zastosowanego sterowania. Horyzont sterowania jest ograniczony zmienną losową o znanym rozkładzie, niezależną od zakłóceń, a pomiary stanu nie są obarczone błędem. Wykorzystując metodę programowania dynamicznego wyznaczono analityczna postać algorytmu bayesowskiego sterowania optymalnego w układzie zamkniętym: dla zakłóceń o rozkładzie jednostajnym na [0; λ] oraz dla zakłóceń o rozkładzie jednostajnym na [λ1; λ2].

3

Design and optimization of the impact and particle vibration absorbers

Diveyev B., Kernytskyy I., Dorosh I., Ilnytskyy I.

Journal of Achievements in Materials and Manufacturing Engineering

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2015

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Vol. 71, nr 2

77--86

EN

Purpose: The main aim of this paper is improved dynamic vibration impact and particle absorbers design with taking into account complex machines dynamic. Design/methodology/approach: The numerical schemes row is considered for the complex vibro-loaded constructions. Methods of decomposition and the numerical schemes synthesis on the basis of discrete-continuum modelling are considered. Findings: Development of mathematical models of complicated machines in view of their interaction with system of dynamic vibration absorbers. Dynamic vibration absorbers – complicated machines system design optimized on vibro- absorption properties. Research limitations/implications: The research must be done for non-linear machine dynamics. Practical implications: The absorbers designed in accordance with this paper can be applied not only to electric machines or aeronautic structures, but to any other type of vibro-loaded structure, such as turbo machines, pumps, cars suspensions, chisel installation, optical, magneto-optical disks, washing machine, refrigerator, vacuum cleaner, etc. Originality/value: The paper has novelty both in theoretical, and in practical aspect, In order that optimal parameters of DVA be determinate the complete modelling of dynamics of rotating machine should be made. Traditional design methodology, based on discontinuous models of structures and machines are not effective for high frequency vibration. The one-digit values are established not only for the dynamic vibration absorber parameters, but also for mechanical of base structure in connection points of the dynamic vibration absorbers.

4

Computer aided optimal design of servo drives for CNC machine tools

Pandilov Z., Dukovski V.

Journal of Machine Engineering

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2008

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Vol. 8, No. 1

77--83

EN

Generally servo drives for CNC machine tools have a very simple kinematic structure. But the optimal servo drives design is a problem which consists of an appropriate selection of AC or DC motors and mechanical transmission elements, which must satisfy some conditions as a system. Because of the extensive calculations and optimization algorithms, original computer programs are developed.