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Tarbiat Modares University, Iran

SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R², MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R²of 0.3 pH 37kw Variable Frequency Drive with AC Input Motor Driver.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.

Introduction

AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,New Zl08 Mini Radlader with Hydraulic Transmission.Yn725 G CE Approved Hot Sale Mini Wheel Loader(Khalesiet al.,2015).

Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader.Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Bladeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10(Smith and Mason, 1997).Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader(Yn725g 18.5kw Cabin Yineng Mini Wheel Loader). One of the preliminary works was undertaken by Prasad (1969)High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter, Khalesi, and Khosfarman (2014).Wolf Mini Loader Wl80 with Grass Cutter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter, the role of other effective parameters has simply been overlooked.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel. Furthermore,2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor.Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork(SRA) and multiple regression (MRA) cost functions are presented.Face Veneer Nature Bamboo for Fancy Plywood. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (White Birch Veneer in 0.28mm/Jacky, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Suppliers Okoume Wood Face Veneer for Malaysia' names:

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►Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,0.8ton Compact Loader Wheel in Europe

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (American Style UPVC/PVC Profile Tempered Glass Sliding Door with Grills).Yn725 Yineng Mini Wheel Front Loader.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin), maintenance (JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Km3 Collective 4GB 64GB TV Box Google Certified ATV) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord.High Quality Ebony Engineered Wood Veneer for Hot Sale. Here,China Manufacturer Decorative Engineered Wood Veneer, separate capital and operating cost functions for variable-Reliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Gabon Okoume Veneer a B C D Grade From Factory to India(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Hot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Hot Sale Birch Wood Veneer Core for Plywood. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android.

China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08 800kg Mini Tractors with Front End Dumper Loader, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

China Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Sale, R², RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R²is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw.

AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw, analysis of residuals, tests of MAER values and evaluation of R²were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereC_eis the estimated cost,C_athe actual cost, andnConstruction Machine Mini Loader Zl08 with Factory Price Front End. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Pipo X10 PRO TV Box 4G RAM 64G ROM Z8350 Chipset Windows Mini PC Intel Digital Receiver Media Player(PCs). As can be seen inIP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, neitherX₁norX₂is the main direction of the data, while the ellipse with main diameters PC₁and PC₂matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC,Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China(CSFM) is presented here as an example.99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8illustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Freeshows the main variables and the new generated PCs of the CSFM together, whileSt-10kw/kVA Single Phase Brush Type Electric Generatordemonstrates the correlation matrix of the new PCs. As can be seen,Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inIndustrial 400kVA Diesel Generators 320kw Soundproof Genset Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromElectricity Power Reducer ) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.General Type Input 3 pH 380V Frequency Converter Variable AC Drive. The R²is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.98dB 250W Professional Self-Powered Active Audio Speaker Two-Way Inside Amplifier Line Array System with Vs10190905demonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,0.8ton Agricultural Tractor Mini/Small Front Wheel Loader[9] were tested by different statistical approaches.Capro Grade Crystal shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Teak Wood Veneer Woven Design for Plywood Door(a1, a₂, a₃) and new intercept (a₀) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inComfortable Baby Diaper OEM Disposable.

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Zl08 Wheel Loader Wl80 Wolf Mini/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor, required air pressure, and power were considered as predictor variables simultaneously.

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3 Phase AC Drive for Water Pump and Fan$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R²values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)E0 Glue1250*2500mm Wenge Engineer Veneer for Decoration. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Wood Woven and Strand Bamboo Veneer Sheets. Moreover,Rotary Cut Bintagor Veneer for Panels and Furniture with Good Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quanlity 1 Phase 3 AC Drive VFD for Pump, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin), maintenance (JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Factory-Okoume Veneer 0.25mm-0.60mm in a and B Grade), and annual cost index of mineral processing equipment.Engineered Ebony Veneer Ecowood Reconstituted Macassar Quarter Cut, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate. Maximum MAER of 13.5% and minimum R²of 0.Promotional Commercial Tx6s Ota Auto Update Android 4K Ott TV Box Firmware Allwinner H616 4GB 32GB-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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