18 research outputs found
ΠΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΠ΅ ΠΏΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ ΠΎΠ±ΡΠ΅Π΄ΠΈΠ½Π΅Π½Π½ΡΡ ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌ Π² ΡΡΡΠ°Π½ΠΎΠ²ΠΈΠ²ΡΠΈΡ ΡΡ ΠΈ ΡΠ°ΠΌΠΎΡΡΡΠ°Π½Π°Π²Π»ΠΈΠ²Π°ΡΡΠΈΡ ΡΡ ΡΠ΅ΠΆΠΈΠΌΠ°Ρ
A complex mathematical model of behaviour of consolidated power systems with strong and weak internal intersystem electrical links in steady and self-steady modes is offered in view of automatic control of frequency, voltage and power. The model takes into account change of parameters of the circuit diagram according to frequency deviations and allows to simulate processes of frequency and power regulation in power system, direct current inserts, technical limitations and load effect.ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Π° ΠΊΠΎΠΌΠΏΠ»Π΅ΠΊΡΠ½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΏΠΎΠ²Π΅Π΄Π΅Π½ΠΈΡ ΠΎΠ±ΡΠ΅Π΄ΠΈΠ½Π΅Π½Π½ΡΡ
ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌ Ρ ΡΠΈΠ»ΡΠ½ΡΠΌΠΈ ΠΈ ΡΠ»Π°Π±ΡΠΌΠΈ Π²Π½ΡΡΡΠ΅Π½Π½ΠΈΠΌΠΈ ΠΌΠ΅ΠΆΡΠΈΡΡΠ΅ΠΌΠ½ΡΠΌΠΈ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΠΌΠΈ ΡΠ²ΡΠ·ΡΠΌΠΈ Π² ΡΡΡΠ°Π½ΠΎΠ²ΠΈΠ²ΡΠΈΡ
ΡΡ ΠΈ ΡΠ°ΠΌΠΎΡΡΡΠ°Π½Π°Π²Π»ΠΈΠ²Π°ΡΡΠΈΡ
ΡΡ ΡΠ΅ΠΆΠΈΠΌΠ°Ρ
Ρ ΡΡΠ΅ΡΠΎΠΌ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ°ΡΡΠΎΡΡ, Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΈ ΠΌΠΎΡΠ½ΠΎΡΡΠΈ. ΠΠΎΠ΄Π΅Π»Ρ ΡΡΠΈΡΡΠ²Π°Π΅Ρ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΎΠ² ΡΡ
Π΅ΠΌΡ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΡΠΈ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΡ ΡΠ°ΡΡΠΎΡΡ ΠΈ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ ΠΈΠΌΠΈΡΠΈΡΠΎΠ²Π°ΡΡ ΠΏΡΠΎΡΠ΅ΡΡΡ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΡΠ°ΡΡΠΎΡΡ ΠΈ ΠΌΠΎΡΠ½ΠΎΡΡΠΈ Π² ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΠ΅, Π²ΡΡΠ°Π²ΠΊΠΈ ΠΏΠΎΡΡΠΎΡΠ½Π½ΠΎΠ³ΠΎ ΡΠΎΠΊΠ°, ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΡ ΠΈ ΡΠ΅Π³ΡΠ»ΠΈΡΡΡΡΠΈΠΉ ΡΡΡΠ΅ΠΊΡ Π½Π°Π³ΡΡΠ·ΠΊΠΈ
Π ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΠΌΠ΅ΡΠΎΠ΄Π° Π΄Π²ΡΡ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΠΊ ΡΠ΅ΡΠ΅Π½ΠΈΡ ΠΏΠ»ΠΎΡ ΠΎ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π½ΡΡ Π·Π°Π΄Π°Ρ ΡΠ°ΡΡΠ΅ΡΠ° ΡΡΡΠ°Π½ΠΎΠ²ΠΈΠ²ΡΠΈΡ ΡΡ ΡΠ΅ΠΆΠΈΠΌΠΎΠ² ΡΠ»ΠΎΠΆΠ½ΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠΈΡΡΠ΅ΠΌ
The paper investigates computing characteristics of Newton methods by a parameter and twoβparameter method of minimization in respect of poorly formulated algebraic systems of cubic and nonlinear equations of higher order. Some proposals are given to improve computing characteristics of the two-parameter minimization method while solving the problems concerning computation of steady modes in complex electric-power systems.ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½Ρ Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½ΡΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊΠΈ ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΡΡΡΠΎΠ½Π° ΠΏΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΠΈ Π΄Π²ΡΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΠΏΡΠΈ ΡΠ΅ΡΠ΅Π½ΠΈΠΈ ΠΏΠ»ΠΎΡ
ΠΎ ΠΎΠ±ΡΡΠ»ΠΎΠ²Π»Π΅Π½Π½ΡΡ
Π°Π»Π³Π΅Π±ΡΠ°ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ ΠΊΡΠ±ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΈ Π±ΠΎΠ»Π΅Π΅ Π²ΡΡΠΎΠΊΠΎΠ³ΠΎ ΠΏΠΎΡΡΠ΄ΠΊΠ° Π½Π΅Π»ΠΈΠ½Π΅ΠΉΠ½ΡΡ
ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Ρ ΠΏΡΡΠΈ ΡΠ»ΡΡΡΠ΅Π½ΠΈΡ Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½ΡΡ
Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠΈΡΡΠΈΠΊ Π΄Π²ΡΡ
ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΌΠ΅ΡΠΎΠ΄Π° ΠΌΠΈΠ½ΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΠΏΡΠΈ ΡΠ΅ΡΠ΅Π½ΠΈΠΈ Π΄Π°Π½Π½ΡΡ
ΡΠΈΡΡΠ΅ΠΌ Π² Π·Π°Π΄Π°ΡΠ°Ρ
ΡΠ°ΡΡΠ΅ΡΠ° ΡΡΡΠ°Π½ΠΎΠ²ΠΈΠ²ΡΠΈΡ
ΡΡ ΡΠ΅ΠΆΠΈΠΌΠΎΠ² ΡΠ»ΠΎΠΆΠ½ΡΡ
ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³Π΅ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠΈΡΡΠ΅ΠΌ
ΠΠ«Π―ΠΠΠΠΠΠ Π ΠΠΠΠΠ§ΠΠ Π ΠΠΠΠ’ΠΠ ΠΠ«Π₯ ΠΠΠΠΠ«Π₯ ΠΠ Π Π’ΠΠΠΠ’ΠΠ§ΠΠ‘ΠΠΠ ΠΠΠ ΠΠΠΠ’ΠΠ ΠΠΠ‘ΠΠΠ§ΠΠ‘ΠΠΠ₯ Π‘ΠΠΠΠΠΠ
The problem of differences identifying in vector graphics data packages and how to solve it is considered. Map information and vectorized data of remote sensing of Earth are sources of vector data in the article. The aim is to design a method for detecting differences in vector data packages, providing reliable results for updating map and monitoring areas tasks. Research and development is done by mathematical modeling of the task in MATLAB. The article provides developed method for solving the task and results of its application for finding differences between two vector data packages, obtained from the target information of remote sensing of the Earth, and/or vector layers of digital district map. This method allows you to automate the process and reduce the time of thematic analysis of cosmic information, obtained from remote sensing of the Earth for topographic mapping and monitoring areas.Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ Π·Π°Π΄Π°ΡΠ° Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΡΠ°Π·Π»ΠΈΡΠΈΠΉ Π² ΠΏΠ°ΠΊΠ΅ΡΠ°Ρ
Π΄Π°Π½Π½ΡΡ
Π²Π΅ΠΊΡΠΎΡΠ½ΠΎΠΉ Π³ΡΠ°ΡΠΈΠΊΠΈ ΠΈ ΡΠΏΠΎΡΠΎΠ±Ρ Π΅Ρ ΡΠ΅ΡΠ΅Π½ΠΈΡ. ΠΡΡΠΎΡΠ½ΠΈΠΊΠ°ΠΌΠΈ Π²Π΅ΠΊΡΠΎΡΠ½ΡΡ
Π΄Π°Π½Π½ΡΡ
Π² ΡΡΠ°ΡΡΠ΅ ΡΠ»ΡΠΆΠ°Ρ ΠΊΠ°ΡΡΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΡ ΠΈ Π²Π΅ΠΊΡΠΎΡΠΈΠ·ΠΎΠ²Π°Π½Π½ΡΠ΅ Π΄Π°Π½Π½ΡΠ΅ Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π·ΠΎΠ½Π΄ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΠ΅ΠΌΠ»ΠΈ. Π¦Π΅Π»ΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΡΠΏΠΎΡΠΎΠ±Π° Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΡΠ°Π·Π»ΠΈΡΠΈΠΉ Π² ΠΏΠ°ΠΊΠ΅ΡΠ°Ρ
Π²Π΅ΠΊΡΠΎΡΠ½ΡΡ
Π΄Π°Π½Π½ΡΡ
, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠΈΠ²Π°ΡΡΠ΅Π³ΠΎ Π½Π°Π΄ΡΠΆΠ½ΠΎΠ΅ ΠΏΠΎΠ»ΡΡΠ΅Π½ΠΈΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΠ° Π΄Π»Ρ Π·Π°Π΄Π°Ρ Π°ΠΊΡΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΊΠ°ΡΡΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ ΠΈ ΠΌΠΎΠ½ΠΈΡΠΎΡΠΈΠ½Π³Π° ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ. ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΈ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΠ»ΠΈΡΡ ΠΏΡΡΡΠΌ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π·Π°Π΄Π°ΡΠΈ Π² MATLAB. Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡΡΡ ΠΎΠΏΠΈΡΠ°Π½ΠΈΠ΅ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠ³ΠΎ ΡΠΏΠΎΡΠΎΠ±Π° ΡΠ΅ΡΠ΅Π½ΠΈΡ Π·Π°Π΄Π°ΡΠΈ ΠΈ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ Π΅Π³ΠΎ ΠΏΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΡ Π΄Π»Ρ Π½Π°Ρ
ΠΎΠΆΠ΄Π΅Π½ΠΈΡ ΡΠ°Π·Π»ΠΈΡΠΈΠΉ ΠΌΠ΅ΠΆΠ΄Ρ Π΄Π²ΡΠΌΡ ΠΏΠ°ΠΊΠ΅ΡΠ°ΠΌΠΈ Π²Π΅ΠΊΡΠΎΡΠ½ΡΡ
Π΄Π°Π½Π½ΡΡ
, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΠΌΠΈ ΠΈΠ· ΡΠ΅Π»Π΅Π²ΠΎΠΉ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π·ΠΎΠ½Π΄ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΠ΅ΠΌΠ»ΠΈ ΠΈ/ΠΈΠ»ΠΈ Π²Π΅ΠΊΡΠΎΡΠ½ΡΡ
ΡΠ»ΠΎΡΠ² ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΠΊΠ°ΡΡΡ ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ. ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π΄Π°Π½Π½ΠΎΠ³ΠΎ ΡΠΏΠΎΡΠΎΠ±Π° ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠ·ΠΈΡΠΎΠ²Π°ΡΡ ΠΏΡΠΎΡΠ΅ΡΡ ΠΈ ΡΠΎΠΊΡΠ°ΡΠΈΡΡ Π²ΡΠ΅ΠΌΡ ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ, ΠΏΠΎΠ»ΡΡΠ°Π΅ΠΌΠΎΠΉ ΠΎΡ ΡΡΠ΅Π΄ΡΡΠ² Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π·ΠΎΠ½Π΄ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΠ΅ΠΌΠ»ΠΈ Π΄Π»Ρ ΡΠΎΠΏΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΊΠ°ΡΡΠΎΠ³ΡΠ°ΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΈ ΠΌΠΎΠ½ΠΈΡΠΎΡΠΈΠ½Π³Π° ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ
Π‘ΠΠΠΠ‘Π’ΠΠΠΠΠΠΠ ΠΠΠ‘ΠΠΠ§ΠΠ‘ΠΠΠ₯ ΠΠΠΠΠ ΠΠΠΠΠΠ ΠΠΠΠΠ Π₯ΠΠΠ‘Π’Π ΠΠΠΠΠ Π‘ ΠΠ’ΠΠΠΠΠΠ Π¦ΠΠ€Π ΠΠΠΠ ΠΠΠ Π’Π« ΠΠΠ‘Π’ΠΠΠ‘Π’Π
In article problems of comparison of space pictures with a standard of a digital district map for tasks of updating of cartographical information and monitoring of the territories are considered. The purpose is development of a technique of automated detection of cumulative changes in space pictures concerning a standard of a digital district map in optionally the set analysis window. Researches and development of a technique were made by mathematical simulation of the task in the environment of MATLAB. The last results of researches in the form of the developed technique of detection of cumulative changes of object composition in the orthotransformed and geobound space pictures of the Earthβs surface concerning a standard of a vectorial digital district map are given in article. The main results of comparison of space pictures to a digital district map received in case of tests of the developed technique are shown. Application of this technique allows to automate process already now and to reduce time of the subject analysis of the space information obtained by Earth remote-sensing instruments for topographical mapping.Π ΡΡΠ°ΡΡΠ΅ ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°ΡΡΡΡ ΠΏΡΠΎΠ±Π»Π΅ΠΌΡ ΡΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΡ ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ½ΠΈΠΌΠΊΠΎΠ² Ρ ΡΡΠ°Π»ΠΎΠ½ΠΎΠΌ ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΠΊΠ°ΡΡΡ ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ Π΄Π»Ρ Π·Π°Π΄Π°Ρ Π°ΠΊΡΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ ΠΊΠ°ΡΡΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ ΠΈ ΠΌΠΎΠ½ΠΈΡΠΎΡΠΈΠ½Π³Π° ΡΠ΅ΡΡΠΈΡΠΎΡΠΈΠΉ. Π¦Π΅Π»ΡΡ ΡΠ²Π»ΡΠ΅ΡΡΡ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Π½ΠΎΠ³ΠΎ Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΡΠΎΠ²ΠΎΠΊΡΠΏΠ½ΡΡ
ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ Π½Π° ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ½ΠΈΠΌΠΊΠ°Ρ
ΠΎΡΠ½ΠΎΡΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΡΠ°Π»ΠΎΠ½Π° ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΠΊΠ°ΡΡΡ ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ Π² ΠΎΠΏΡΠΈΠΎΠ½Π°Π»ΡΠ½ΠΎ Π·Π°Π΄Π°Π²Π°Π΅ΠΌΠΎΠΌ ΠΎΠΊΠ½Π΅ Π°Π½Π°Π»ΠΈΠ·Π°. ΠΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΡ ΠΈ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠΊΠ° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΠΏΡΠΎΠΈΠ·Π²ΠΎΠ΄ΠΈΠ»ΠΈΡΡ ΠΏΡΡΡΠΌ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΌΠΎΠ΄Π΅Π»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π·Π°Π΄Π°ΡΠΈ Π² ΡΡΠ΅Π΄Π΅ MATLAB. Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠΈΠ²ΠΎΠ΄ΡΡΡΡ ΠΏΠΎΡΠ»Π΅Π΄Π½ΠΈΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΈΡΡΠ»Π΅Π΄ΠΎΠ²Π°Π½ΠΈΠΉ Π² Π²ΠΈΠ΄Π΅ ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π½ΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ Π²ΡΡΠ²Π»Π΅Π½ΠΈΡ ΡΠΎΠ²ΠΎΠΊΡΠΏΠ½ΡΡ
ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΉ ΠΎΠ±ΡΠ΅ΠΊΡΠ½ΠΎΠ³ΠΎ ΡΠΎΡΡΠ°Π²Π° Π½Π° ΠΎΡΡΠΎΡΡΠ°Π½ΡΡΠΎΡΠΌΠΈΡΠΎΠ²Π°Π½Π½ΡΡ
ΠΈ Π³Π΅ΠΎΠΏΡΠΈΠ²ΡΠ·Π°Π½Π½ΡΡ
ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ½ΠΈΠΌΠΊΠ°Ρ
ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΠ΅ΠΌΠ»ΠΈ ΠΎΡΠ½ΠΎΡΠΈΡΠ΅Π»ΡΠ½ΠΎ ΡΡΠ°Π»ΠΎΠ½Π° Π²Π΅ΠΊΡΠΎΡΠ½ΠΎΠΉ ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΠΊΠ°ΡΡΡ ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ. ΠΠΎΠΊΠ°Π·Π°Π½Ρ ΠΎΡΠ½ΠΎΠ²Π½ΡΠ΅ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΡΠΎΠΏΠΎΡΡΠ°Π²Π»Π΅Π½ΠΈΡ ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ½ΠΈΠΌΠΊΠΎΠ² Ρ ΡΠΈΡΡΠΎΠ²ΠΎΠΉ ΠΊΠ°ΡΡΠΎΠΉ ΠΌΠ΅ΡΡΠ½ΠΎΡΡΠΈ, ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΠ΅ ΠΏΡΠΈ ΠΈΡΠΏΡΡΠ°Π½ΠΈΡΡ
ΡΠ°Π·ΡΠ°Π±Π°ΡΡΠ²Π°Π΅ΠΌΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ. ΠΡΠΈΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π΄Π°Π½Π½ΠΎΠΉ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΡΠΆΠ΅ ΡΠ΅ΠΉΡΠ°Ρ ΠΏΠΎΠ·Π²ΠΎΠ»ΡΠ΅Ρ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΠ·ΠΈΡΠΎΠ²Π°ΡΡ ΠΏΡΠΎΡΠ΅ΡΡ ΠΈ ΡΠΎΠΊΡΠ°ΡΠΈΡΡ Π²ΡΠ΅ΠΌΡ ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·Π° ΠΊΠΎΡΠΌΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΈΠ½ΡΠΎΡΠΌΠ°ΡΠΈΠΈ, ΠΏΠΎΠ»ΡΡΠ°Π΅ΠΌΠΎΠΉ ΡΡΠ΅Π΄ΡΡΠ²Π°ΠΌΠΈ Π΄ΠΈΡΡΠ°Π½ΡΠΈΠΎΠ½Π½ΠΎΠ³ΠΎ Π·ΠΎΠ½Π΄ΠΈΡΠΎΠ²Π°Π½ΠΈΡ ΠΠ΅ΠΌΠ»ΠΈ Π΄Π»Ρ ΡΠΎΠΏΠΎΠ³ΡΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΠΊΠ°ΡΡΠΎΠ³ΡΠ°ΡΠΈΡΠΎΠ²Π°Π½ΠΈΡ
Π£ΡΠ΅Ρ ΠΏΠΎΡΡΠ΅Π±ΠΈΡΠ΅Π»ΡΡΠΊΠΈΡ ΡΠ½Π΅ΡΠ³ΠΎΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΎΠ² Π² ΡΠ°ΡΡΠ΅ΡΠ°Ρ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΠ΅Π»ΡΠ½ΡΡ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠ΅ΡΠ΅ΠΉ 6β10 ΠΊΠ
The methodical approach to calculation of normal modes of open 6β10 kV-electrical networks has been developed in the paper. These networks contain generating sources of consumers; they are equipped with means for automatic voltage control and they are operating in parallel with the power system.Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½ ΠΌΠ΅ΡΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΈΠΉ ΠΏΠΎΠ΄Ρ
ΠΎΠ΄ ΠΊ ΡΠ°ΡΡΠ΅ΡΡ Π½ΠΎΡΠΌΠ°Π»ΡΠ½ΡΡ
ΡΠ΅ΠΆΠΈΠΌΠΎΠ² ΡΠ°Π·ΠΎΠΌΠΊΠ½ΡΡΡΡ
ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ΅ΡΠ΅ΠΉ 6β10Β ΠΊΠ, ΡΠΎΠ΄Π΅ΡΠΆΠ°ΡΠΈΡ
Π³Π΅Π½Π΅ΡΠΈΡΡΡΡΠΈΠ΅ ΠΈΡΡΠΎΡΠ½ΠΈΠΊΠΈ ΠΏΠΎΡΡΠ΅Π±ΠΈΡΠ΅Π»Π΅ΠΉ, ΠΎΡΠ½Π°ΡΠ΅Π½Π½ΡΠ΅ ΡΡΠ΅Π΄ΡΡΠ²Π°ΠΌΠΈ Π°Π²ΡΠΎΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ΅Π³ΡΠ»ΠΈΡΠΎΠ²Π°Π½ΠΈΡ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΡ ΠΈ ΡΠ°Π±ΠΎΡΠ°ΡΡΠΈΠ΅ ΠΏΠ°ΡΠ°Π»Π»Π΅Π»ΡΠ½ΠΎ Ρ ΡΠ½Π΅ΡΠ³ΠΎΡΠΈΡΡΠ΅ΠΌΠΎΠΉ
Π Π°ΡΡΠ΅Ρ ΡΠ΅ΠΆΠΈΠΌΠΎΠ² ΠΈ ΠΏΠΎΡΠ΅ΡΡ ΠΌΠΎΡΠ½ΠΎΡΡΠΈ Π² ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠ΅ΡΡΡ 0,38 ΠΊΠ Ρ ΡΡΠ΅ΡΠΎΠΌ ΠΏΠΎΠ²ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π·Π°Π·Π΅ΠΌΠ»Π΅Π½ΠΈΡ Π½ΡΠ»Π΅Π²ΠΎΠ³ΠΎ ΠΏΡΠΎΠ²ΠΎΠ΄Π°
A methodology has been developed to take account of repeated earth connection of a zero wire while making calculation of modes and losses in 0.38 kV and using method of nodal potentials that permits to refine operating conditions of a zero wire. It has been shown that an account of a repeated earth connection of a zero wire exerts an influence on parameters of a mode and power loss in the 0.38 kV network and in this case an influencing force is in direct proportion to unsymmetry degrees of load phase currents and is in inverse proportion to resistance of earthing devices and rodsΠ Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Π° ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° ΡΡΠ΅ΡΠ° ΠΏΠΎΠ²ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π·Π°Π·Π΅ΠΌΠ»Π΅Π½ΠΈΡ Π½ΡΠ»Π΅Π²ΠΎΠ³ΠΎ ΠΏΡΠΎΠ²ΠΎΠ΄Π° ΠΏΡΠΈ ΡΠ°ΡΡΠ΅ΡΠ΅ ΡΠ΅ΠΆΠΈΠΌΠΎΠ² ΠΈ ΠΏΠΎΡΠ΅ΡΡ Π² ΡΠ΅ΡΡΡ
0,38 ΠΊΠ Ρ ΠΈΡΠΏΠΎΠ»ΡΠ·ΠΎΠ²Π°Π½ΠΈΠ΅ΠΌ ΠΌΠ΅ΡΠΎΠ΄Π° ΡΠ·Π»ΠΎΠ²ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠ°Ρ ΡΡΠΎΡΠ½ΡΡΡ ΡΠ΅ΠΆΠΈΠΌΠ½ΡΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ Π½ΡΠ»Π΅Π²ΠΎΠ³ΠΎ ΠΏΡΠΎΠ²ΠΎΠ΄Π°. ΠΠΎΠΊΠ°Π·Π°Π½ΠΎ, ΡΡΠΎ ΡΡΠ΅Ρ ΠΏΠΎΠ²ΡΠΎΡΠ½ΠΎΠ³ΠΎ Π·Π°Π·Π΅ΠΌΠ»Π΅Π½ΠΈΡ Π½ΡΠ»Π΅Π²ΠΎΠ³ΠΎ ΠΏΡΠΎΠ²ΠΎΠ΄Π° ΠΎΠΊΠ°Π·ΡΠ²Π°Π΅Ρ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π° ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΡΠ΅ΠΆΠΈΠΌΠ° ΠΈ ΠΏΠΎΡΠ΅ΡΠΈ ΠΌΠΎΡΠ½ΠΎΡΡΠΈ Π² ΡΠ΅ΡΠΈ 0,38 ΠΊΠ, ΠΏΡΠΈ ΡΡΠΎΠΌ ΡΠΈΠ»Π° Π²Π»ΠΈΡΠ½ΠΈΡ ΠΏΡΡΠΌΠΎ ΠΏΡΠΎΠΏΠΎΡΡΠΈΠΎΠ½Π°Π»ΡΠ½Π° ΡΡΠ΅ΠΏΠ΅Π½ΠΈ Π½Π΅ΡΠΈΠΌΠΌΠ΅ΡΡΠΈΠΈ ΡΠΎΠΊΠΎΠ² Π½Π°Π³ΡΡΠ·ΠΎΠΊ ΡΠ°Π· ΠΈ ΠΎΠ±ΡΠ°ΡΠ½ΠΎ ΠΏΡΠΎΠΏΠΎΡΡΠΈΠΎΠ½Π°Π»ΡΠ½Π° ΡΠΎΠΏΡΠΎΡΠΈΠ²Π»Π΅Π½ΠΈΡ Π·Π°Π·Π΅ΠΌΠ»ΡΡΡΠΈΡ
ΡΡΡΡΠΎΠΉΡΡΠ² ΠΈ Π·Π°Π·Π΅ΠΌΠ»ΠΈΡΠ΅Π»Π΅ΠΉ
Π‘ΠΎΠ²ΠΌΠ΅ΡΡΠ½ΡΠΉ ΡΠ°ΡΡΠ΅Ρ ΡΠ΅Ρ Π½ΠΈΡΠ΅ΡΠΊΠΈΡ ΠΏΠΎΡΠ΅ΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ Π² ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠ΅ΡΡΡ 0,38β10 ΠΊΠ
The paper presents results of practical calculation for electric power technical losses on the basis of a combined calculation methodology for 0,38β10 kV electrical networks. The results have been evaluated and analyzed in the paper. The paper considers an influence of non-uniform loading of 0.38 kV network phasesΒ on electric power technical losses.ΠΡΠΈΠ²Π΅Π΄Π΅Π½Ρ ΡΠ΅Π·ΡΠ»ΡΡΠ°ΡΡ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠ°ΡΡΠ΅ΡΠ° ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΈΡ
ΠΏΠΎΡΠ΅ΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ Π½Π° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠ΅ΡΠΎΠ΄ΠΈΠΊΠΈ ΡΠΎΠ²ΠΌΠ΅ΡΡΠ½ΠΎΠ³ΠΎ ΡΠ°ΡΡΠ΅ΡΠ° ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ΅ΡΠ΅ΠΉ 0,38β10Β ΠΊΠ, Π²ΡΠΏΠΎΠ»Π½Π΅Π½Ρ ΠΈΡ
ΠΎΡΠ΅Π½ΠΊΠ° ΠΈ Π°Π½Π°Π»ΠΈΠ·. Π Π°ΡΡΠΌΠΎΡΡΠ΅Π½ΠΎ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π΅ΡΠ°Π²Π½ΠΎΠΌΠ΅ΡΠ½ΠΎΠΉ Π·Π°Π³ΡΡΠ·ΠΊΠΈ ΡΠ°Π· ΡΠ΅ΡΠΈ 0,38Β ΠΊΠ Π½Π° ΡΠ΅Ρ
Π½ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΡΠ΅ΡΠΈ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ.
ΠΠ΅ΡΠΎΠ΄ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΡΠΈΠ½ΡΠΈΠΏΡ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΡΡ ΠΌΠ΅ΡΡ ΡΠ°Π·ΠΌΡΠΊΠ°Π½ΠΈΡ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΠ΅Π»ΡΠ½ΡΡ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΈΡ ΡΠ΅ΡΠ΅ΠΉ Ρ ΡΡΠ΅ΡΠΎΠΌ ΠΏΠΈΡΠ°ΡΡΠ΅ΠΉ ΡΠ΅ΡΠΈ 110 ΠΊΠ ΠΈ Π²ΡΡΠ΅
A specified model and algorithm for optimization of slit points in a distributive 10 (6) kV electrical network with due account of supply network of 110 kV and higher have been developed in the paper. In order to determine loss values in supply network a special mathematical model of the closed network has been constructed and the model permits to execute the given operation with minimum computing expenses. The paper proposes and analyzes methods for registration of task limitations: damage due to insufficient supply of electric power, possible network overloads for permissible currents, power supply provision for the 1st category consumers, prohibition against switching in public network and switching-on of sectional apparatus being switched-off according to normal scheme.Π Π°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΡΡΠΎΡΠ½Π΅Π½Π½ΡΠ΅ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΈ Π°Π»Π³ΠΎΡΠΈΡΠΌ ΠΎΠΏΡΠΈΠΌΠΈΠ·Π°ΡΠΈΠΈ ΡΠΎΡΠ΅ΠΊ ΡΠ°Π·ΡΠ΅Π·ΠΎΠ² Π² ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»ΠΈΡΠ΅Π»ΡΠ½ΠΎΠΉ ΡΠ»Π΅ΠΊΡΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΡΠ΅ΡΠΈ 10(6) ΠΊΠ Ρ ΡΡΠ΅ΡΠΎΠΌ ΠΏΠΈΡΠ°ΡΡΠ΅ΠΉ ΡΠ΅ΡΠΈ 110 ΠΊΠ ΠΈ Π²ΡΡΠ΅. ΠΠ»Ρ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ΠΏΠΎΡΠ΅ΡΡ Π² ΠΏΠΈΡΠ°ΡΡΠ΅ΠΉ ΡΠ΅ΡΠΈ ΠΏΠΎΠ»ΡΡΠ΅Π½Π° ΡΠΏΠ΅ΡΠΈΠ°Π»ΡΠ½Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ Π·Π°ΠΌΠΊΠ½ΡΡΠΎΠΉ ΡΠ΅ΡΠΈ, ΠΏΠΎΠ·Π²ΠΎΠ»ΡΡΡΠ°Ρ ΠΎΡΡΡΠ΅ΡΡΠ²Π»ΡΡΡ Π΄Π°Π½Π½ΡΡ ΠΎΠΏΠ΅ΡΠ°ΡΠΈΡ Ρ ΠΌΠΈΠ½ΠΈΠΌΠ°Π»ΡΠ½ΡΠΌΠΈ Π²ΡΡΠΈΡΠ»ΠΈΡΠ΅Π»ΡΠ½ΡΠΌΠΈ Π·Π°ΡΡΠ°ΡΠ°ΠΌΠΈ. ΠΡΠ΅Π΄Π»ΠΎΠΆΠ΅Π½Ρ ΠΈ ΠΏΡΠΎΠ°Π½Π°Π»ΠΈΠ·ΠΈΡΠΎΠ²Π°Π½Ρ ΡΠΏΠΎΡΠΎΠ±Ρ ΡΡΠ΅ΡΠ° ΠΎΠ³ΡΠ°Π½ΠΈΡΠ΅Π½ΠΈΠΉ Π·Π°Π΄Π°ΡΠΈ: ΡΡΠ΅ΡΠ±Π° ΠΎΡ Π½Π΅Π΄ΠΎΠΎΡΠΏΡΡΠΊΠ° ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ, Π²ΠΎΠ·ΠΌΠΎΠΆΠ½ΡΡ
ΠΏΠ΅ΡΠ΅Π³ΡΡΠ·ΠΎΠΊ ΡΠ΅ΡΠΈ ΠΏΠΎ Π΄ΠΎΠΏΡΡΡΠΈΠΌΡΠΌ ΡΠΎΠΊΠ°ΠΌ, ΠΎΠ±Π΅ΡΠΏΠ΅ΡΠ΅Π½ΠΈΡ ΠΏΠΈΡΠ°Π½ΠΈΡ ΠΏΠΎΡΡΠ΅Π±ΠΈΡΠ΅Π»Π΅ΠΉ I ΠΊΠ°ΡΠ΅Π³ΠΎΡΠΈΠΈ, Π·Π°ΠΏΡΠ΅ΡΠΎΠ² Π½Π° ΠΏΠ΅ΡΠ΅ΠΊΠ»ΡΡΠ΅Π½ΠΈΡ Π² Π°Π±ΠΎΠ½Π΅Π½ΡΡΠΊΠΎΠΉ ΡΠ΅ΡΠΈ ΠΈ Π²ΠΊΠ»ΡΡΠ΅Π½ΠΈΠΉ ΡΠ΅ΠΊΡΠΈΠΎΠ½Π½ΡΡ
Π°ΠΏΠΏΠ°ΡΠ°ΡΠΎΠ², ΠΎΡΠΊΠ»ΡΡΠ΅Π½Π½ΡΡ
ΠΏΠΎ Π½ΠΎΡΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΡ
Π΅ΠΌΠ΅
Simulation of Consolidated Power System Behaviour in Steady and Self-Steady Modes
A complex mathematical model of behaviour of consolidated power systems with strong and weak internal intersystem electrical links in steady and self-steady modes is offered in view of automatic control of frequency, voltage and power. The model takes into account change of parameters of the circuit diagram according to frequency deviations and allows to simulate processes of frequency and power regulation in power system, direct current inserts, technical limitations and load effect
About Two-Parameter Minimization Method for Solution of Poorly Formulated Problems in respect of Steady Mode Calculation in Complex Electric-Power Systems
The paper investigates computing characteristics of Newton methods by a parameter and twoβparameter method of minimization in respect of poorly formulated algebraic systems of cubic and nonlinear equations of higher order. Some proposals are given to improve computing characteristics of the two-parameter minimization method while solving the problems concerning computation of steady modes in complex electric-power systems