6 research outputs found
Three-Dimensional Mathematical Modeling of Dynamics Interfaces Between Aluminum, Electrolytes and Reverse Zone of Oxidized Metal Depending on the Potencial Distribution
Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π½ΠΎΠ²Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ Ρ Π²ΡΡΠΎΠΊΠΎΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΡΡ Π΄Π΅ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ
ΠΎΠΏΠΈΡΠ°Π½ΠΈΡ ΠΈΠ·ΡΡΠ°Π΅ΠΌΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ². ΠΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΡΠ°ΡΡΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·ΡΡΠ° Π‘ΠΎΠ΄Π΅ΡΠ±Π΅ΡΠ³Π° Π΄Π»Ρ ΠΌΠΎΠ΄Π΅Π»ΡΠ½ΠΎΠΉ
Π·Π°Π΄Π°ΡΠΈ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ°ΡΡΡΡΡ Π΄Π»Ρ ΠΌΠ½ΠΎΠ³ΠΎΠ°Π½ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·ΡΡΠ°. ΠΠ»Ρ ΠΎΠΏΠΈΡΠ°Π½ΠΈΡ Π³ΠΈΠ΄ΡΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ
ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΡΡΡ ΡΠΈΡΡΠ΅ΠΌΠ° ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ ΠΠ°Π²ΡΠ΅-Π‘ΡΠΎΠΊΡΠ°. Π Π°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅
ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ
ΠΏΠΎΠ»Π΅ΠΉ ΠΎΠΏΠΈΡΡΠ²Π°Π΅ΡΡΡ ΡΠΈΡΡΠ΅ΠΌΠΎΠΉ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ ΠΠ°ΠΊΡΠ²Π΅Π»Π»Π°. Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ
Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π»Π° ΠΏΠΎ Π°Π½ΠΎΠ΄Ρ Π½Π° ΠΠΠ-ΡΡΠ°Π±ΠΈΠ»ΡΠ½ΠΎΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π°, Π° ΡΠ°ΠΊΠΆΠ΅
Π΄Π°ΡΡΡΡ ΡΡΠ°Π²Π½ΠΈΡΠ΅Π»ΡΠ½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠΈΡΠ»Π΅Π½Π½ΡΡ
ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠΎΠ²The mathematical model with a high detailed description of the studied processes is presented in
current paper. Results of modeling Soderberghβs reduction cell for model task and for reduction
cell with multiple anodes are also presented. System of the equations of Navier-Stokes is used
for modeling of hydrodynamics of process of electrolysis. Distribution of electromagnetic fields
is fitted to Maxwellβs system of equations. Influence of distribution of electric potential over
the anode on MHD-stability of process is considered and comparative analysis of numerical
experiments is also give
Efficient Methods for Control of Technological Aluminum Reduction Process
ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΠΌΠ΅ΡΠΎΠ΄Ρ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠ΅ΠΉ
ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π° Π°Π»ΡΠΌΠΈΠ½ΠΈΡ, ΠΏΡΠΈΠ½Π΅ΡΡΠΈΠ΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠΉ ΡΡΡΠ΅ΠΊΡ. Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π°Π»Π³ΠΎΡΠΈΡΠΌΡ
ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·Π°ΡΠΈΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΎΡΡΠ°Π²Π° ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΡΠ° ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°-ΠΈΠΌΠΈΡΠ°ΡΠΎΡ
ΠΏΡΠΎΡΠ΅ΡΡΠ° Π΄Π»Ρ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠΈ ΠΏΡΠΈΠ½ΡΡΠΈΡ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ.On the basis of mathematical model of process management methods by aluminum reduction
technology, brought economic benefit are developed. In article algorithms of optimum stabilization
of electrolyte composition and the program - the simulator of process for support of acceptance of
technological decisions are presented
Efficient Methods for Control of Technological Aluminum Reduction Process
ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΌΠΎΠ΄Π΅Π»ΠΈ ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠ°Π·ΡΠ°Π±ΠΎΡΠ°Π½Ρ ΠΌΠ΅ΡΠΎΠ΄Ρ ΡΠΏΡΠ°Π²Π»Π΅Π½ΠΈΡ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠ΅ΠΉ
ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π° Π°Π»ΡΠΌΠΈΠ½ΠΈΡ, ΠΏΡΠΈΠ½Π΅ΡΡΠΈΠ΅ ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠΉ ΡΡΡΠ΅ΠΊΡ. Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Ρ Π°Π»Π³ΠΎΡΠΈΡΠΌΡ
ΠΎΠΏΡΠΈΠΌΠ°Π»ΡΠ½ΠΎΠΉ ΡΡΠ°Π±ΠΈΠ»ΠΈΠ·Π°ΡΠΈΠΈ Ρ
ΠΈΠΌΠΈΡΠ΅ΡΠΊΠΎΠ³ΠΎ ΡΠΎΡΡΠ°Π²Π° ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΡΠ° ΠΈ ΠΏΡΠΎΠ³ΡΠ°ΠΌΠΌΠ°-ΠΈΠΌΠΈΡΠ°ΡΠΎΡ
ΠΏΡΠΎΡΠ΅ΡΡΠ° Π΄Π»Ρ ΠΏΠΎΠ΄Π΄Π΅ΡΠΆΠΊΠΈ ΠΏΡΠΈΠ½ΡΡΠΈΡ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ΅ΡΠ΅Π½ΠΈΠΉ.On the basis of mathematical model of process management methods by aluminum reduction
technology, brought economic benefit are developed. In article algorithms of optimum stabilization
of electrolyte composition and the program - the simulator of process for support of acceptance of
technological decisions are presented
Anode Paste and Energy Consumptions Analysis for Nadvoitsy Aluminium Smelter Reduction Cells Using Multivariate Statistical Processing Methods
ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠ΅ΡΠΎΠ΄Π° Π³Π»Π°Π²Π½ΡΡ
ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ Π·Π° ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΠΌΡΠΉ ΠΏΠ΅ΡΠΈΠΎΠ΄ Π²ΡΡΠ²Π»Π΅Π½Ρ Π½Π°ΠΈΠ±ΠΎΠ»Π΅Π΅ Π·Π½Π°ΡΠΈΠΌΡΠ΅ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΠ΅, ΠΎΠΊΠ°Π·Π°Π²ΡΠΈΠ΅ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π° ΡΠ΅Ρ
Π½ΠΈΠΊΠΎ-ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΠΈ Π°Π»ΡΠΌΠΈΠ½ΠΈΠ΅Π²ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π΅ΡΠ°. ΠΠΎΠ»ΡΡΠ΅Π½Ρ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ, ΡΠ²ΡΠ·ΡΠ²Π°ΡΡΠΈΠ΅ ΡΠ°ΡΡ
ΠΎΠ΄ Π°Π½ΠΎΠ΄Π½ΠΎΠΉ ΠΌΠ°ΡΡΡ ΠΈ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ°ΠΌΠΈ ΡΡΡΡΡ ΠΈ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ Π΄Π»Ρ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π΅ΡΠΎΠ² Ρ Π±ΠΎΠΊΠΎΠ²ΡΠΌ ΡΠΎΠΊΠΎΠΏΠΎΠ΄Π²ΠΎΠ΄ΠΎΠΌ. Π Π°ΡΡΡΠΈΡΠ°Π½ΠΎ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΡΡ
ΠΎΠ΄Π° Π°Π½ΠΎΠ΄Π½ΠΎΠΉ ΠΌΠ°ΡΡΡ ΠΈ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΏΡΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΠΎΡΠ΄Π΅Π»ΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·ΠΈΡΡΠ΅ΠΌΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° Π½Π° ΡΡΠΈ ΡΡΠ΅Π΄Π½Π΅ΠΊΠ²Π°Π΄ΡΠ°ΡΠΈΡΠ½ΡΡ
ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΡ.Based on principal component analysis for the period under review revealed the most significant variables that influenced the techno-economic performance of aluminum electrolytic. The statistical models relating anode paste consumption and energy consumption with the parameters of raw materials and technology for the horizontal stud Soderberg reduction cells was obtained. The variation of the anode paste consumption and energy consumption when the individual analyzed parameter in three standard deviations was calculated
Anode Paste and Energy Consumptions Analysis for Nadvoitsy Aluminium Smelter Reduction Cells Using Multivariate Statistical Processing Methods
ΠΠ° ΠΎΡΠ½ΠΎΠ²Π΅ ΠΌΠ΅ΡΠΎΠ΄Π° Π³Π»Π°Π²Π½ΡΡ
ΠΊΠΎΠΌΠΏΠΎΠ½Π΅Π½Ρ Π·Π° ΡΠ°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΠΌΡΠΉ ΠΏΠ΅ΡΠΈΠΎΠ΄ Π²ΡΡΠ²Π»Π΅Π½Ρ Π½Π°ΠΈΠ±ΠΎΠ»Π΅Π΅ Π·Π½Π°ΡΠΈΠΌΡΠ΅ ΠΏΠ΅ΡΠ΅ΠΌΠ΅Π½Π½ΡΠ΅, ΠΎΠΊΠ°Π·Π°Π²ΡΠΈΠ΅ Π²Π»ΠΈΡΠ½ΠΈΠ΅ Π½Π° ΡΠ΅Ρ
Π½ΠΈΠΊΠΎ-ΡΠΊΠΎΠ½ΠΎΠΌΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠΎΠΊΠ°Π·Π°ΡΠ΅Π»ΠΈ Π°Π»ΡΠΌΠΈΠ½ΠΈΠ΅Π²ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π΅ΡΠ°. ΠΠΎΠ»ΡΡΠ΅Π½Ρ ΡΡΠ°ΡΠΈΡΡΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΌΠΎΠ΄Π΅Π»ΠΈ, ΡΠ²ΡΠ·ΡΠ²Π°ΡΡΠΈΠ΅ ΡΠ°ΡΡ
ΠΎΠ΄ Π°Π½ΠΎΠ΄Π½ΠΎΠΉ ΠΌΠ°ΡΡΡ ΠΈ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ°ΠΌΠΈ ΡΡΡΡΡ ΠΈ ΡΠ΅Ρ
Π½ΠΎΠ»ΠΎΠ³ΠΈΠΈ Π΄Π»Ρ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π΅ΡΠΎΠ² Ρ Π±ΠΎΠΊΠΎΠ²ΡΠΌ ΡΠΎΠΊΠΎΠΏΠΎΠ΄Π²ΠΎΠ΄ΠΎΠΌ. Π Π°ΡΡΡΠΈΡΠ°Π½ΠΎ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ ΡΠ°ΡΡ
ΠΎΠ΄Π° Π°Π½ΠΎΠ΄Π½ΠΎΠΉ ΠΌΠ°ΡΡΡ ΠΈ ΡΠ»Π΅ΠΊΡΡΠΎΡΠ½Π΅ΡΠ³ΠΈΠΈ ΠΏΡΠΈ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠΈ ΠΎΡΠ΄Π΅Π»ΡΠ½ΠΎΠ³ΠΎ Π°Π½Π°Π»ΠΈΠ·ΠΈΡΡΠ΅ΠΌΠΎΠ³ΠΎ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠ° Π½Π° ΡΡΠΈ ΡΡΠ΅Π΄Π½Π΅ΠΊΠ²Π°Π΄ΡΠ°ΡΠΈΡΠ½ΡΡ
ΠΎΡΠΊΠ»ΠΎΠ½Π΅Π½ΠΈΡ.Based on principal component analysis for the period under review revealed the most significant variables that influenced the techno-economic performance of aluminum electrolytic. The statistical models relating anode paste consumption and energy consumption with the parameters of raw materials and technology for the horizontal stud Soderberg reduction cells was obtained. The variation of the anode paste consumption and energy consumption when the individual analyzed parameter in three standard deviations was calculated
Three-Dimensional Mathematical Modeling of Dynamics Interfaces Between Aluminum, Electrolytes and Reverse Zone of Oxidized Metal Depending on the Potencial Distribution
Π ΡΡΠ°ΡΡΠ΅ ΠΏΡΠ΅Π΄ΡΡΠ°Π²Π»Π΅Π½Π° Π½ΠΎΠ²Π°Ρ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠ°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ Ρ Π²ΡΡΠΎΠΊΠΎΠΉ ΡΡΠ΅ΠΏΠ΅Π½ΡΡ Π΄Π΅ΡΠ°Π»ΠΈΠ·Π°ΡΠΈΠΈ
ΠΎΠΏΠΈΡΠ°Π½ΠΈΡ ΠΈΠ·ΡΡΠ°Π΅ΠΌΡΡ
ΠΏΡΠΎΡΠ΅ΡΡΠΎΠ². ΠΡΠΎΠ²Π΅Π΄Π΅Π½Ρ ΡΠ°ΡΡΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·ΡΡΠ° Π‘ΠΎΠ΄Π΅ΡΠ±Π΅ΡΠ³Π° Π΄Π»Ρ ΠΌΠΎΠ΄Π΅Π»ΡΠ½ΠΎΠΉ
Π·Π°Π΄Π°ΡΠΈ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠ°ΡΡΡΡΡ Π΄Π»Ρ ΠΌΠ½ΠΎΠ³ΠΎΠ°Π½ΠΎΠ΄Π½ΠΎΠ³ΠΎ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·ΡΡΠ°. ΠΠ»Ρ ΠΎΠΏΠΈΡΠ°Π½ΠΈΡ Π³ΠΈΠ΄ΡΠΎΠ΄ΠΈΠ½Π°ΠΌΠΈΠΊΠΈ
ΠΏΡΠΎΡΠ΅ΡΡΠ° ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π° ΠΈΡΠΏΠΎΠ»ΡΠ·ΡΠ΅ΡΡΡ ΡΠΈΡΡΠ΅ΠΌΠ° ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ ΠΠ°Π²ΡΠ΅-Π‘ΡΠΎΠΊΡΠ°. Π Π°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅
ΡΠ»Π΅ΠΊΡΡΠΎΠΌΠ°Π³Π½ΠΈΡΠ½ΡΡ
ΠΏΠΎΠ»Π΅ΠΉ ΠΎΠΏΠΈΡΡΠ²Π°Π΅ΡΡΡ ΡΠΈΡΡΠ΅ΠΌΠΎΠΉ ΡΡΠ°Π²Π½Π΅Π½ΠΈΠΉ ΠΠ°ΠΊΡΠ²Π΅Π»Π»Π°. Π Π°ΡΡΠΌΠ°ΡΡΠΈΠ²Π°Π΅ΡΡΡ
Π²Π»ΠΈΡΠ½ΠΈΠ΅ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΠΏΠΎΡΠ΅Π½ΡΠΈΠ°Π»Π° ΠΏΠΎ Π°Π½ΠΎΠ΄Ρ Π½Π° ΠΠΠ-ΡΡΠ°Π±ΠΈΠ»ΡΠ½ΠΎΡΡΡ ΡΠ»Π΅ΠΊΡΡΠΎΠ»ΠΈΠ·Π°, Π° ΡΠ°ΠΊΠΆΠ΅
Π΄Π°ΡΡΡΡ ΡΡΠ°Π²Π½ΠΈΡΠ΅Π»ΡΠ½ΡΠΉ Π°Π½Π°Π»ΠΈΠ· ΡΠΈΡΠ»Π΅Π½Π½ΡΡ
ΡΠΊΡΠΏΠ΅ΡΠΈΠΌΠ΅Π½ΡΠΎΠ²The mathematical model with a high detailed description of the studied processes is presented in
current paper. Results of modeling Soderberghβs reduction cell for model task and for reduction
cell with multiple anodes are also presented. System of the equations of Navier-Stokes is used
for modeling of hydrodynamics of process of electrolysis. Distribution of electromagnetic fields
is fitted to Maxwellβs system of equations. Influence of distribution of electric potential over
the anode on MHD-stability of process is considered and comparative analysis of numerical
experiments is also give