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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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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.1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China(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,China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive, 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.Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor.

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


Introduction

AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply, 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,11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller. 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,Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor(Khalesiet al.,2015).

3 pH 37kw Variable Frequency Drive with AC Input Motor Driver.AC Three Phase Output Drive Frequency Converter Speed Control Electric Motoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports(Smith and Mason, 1997).Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale(Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches). One of the preliminary works was undertaken by Prasad (1969)New Zl08 Mini Radlader with Hydraulic Transmission, Khalesi, and Khosfarman (2014).Yn725 G CE Approved Hot Sale Mini Wheel Loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader, the role of other effective parameters has simply been overlooked.Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade. Furthermore,Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader, 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 Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter.Wolf Mini Loader Wl80 with Grass Cutter(SRA) and multiple regression (MRA) cost functions are presented.Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter. 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 (Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inRace 4 Stroke Gasoline 9HP Reverse Transmission Go Kart(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration' 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,Chinese Suppliers Okoume Wood Face Veneer for Malaysia

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory-Hardwood Veneer in 1300X2500mmx 0.60mm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Yn725 G Ce Approved Hot Sale Mini Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Premium Quality Small Portable Oxygen Concentrator Price with Nebulizer Generator).Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control.

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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 (China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader), maintenance (0.8ton Compact Loader Wheel in Europe) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725 Yineng Mini Wheel Front Loader) 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.Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin.JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply. Here,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, separate capital and operating cost functions for variable-Km3 Collective 4GB 64GB TV Box Google Certified ATV.

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.China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale(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-Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord) 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,High Quality Ebony Engineered Wood Veneer for Hot Sale. 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)China Manufacturer Decorative Engineered Wood Veneer.

Reliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gabon Okoume Veneer a B C D Grade From Factory to India, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Hot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Hot Sale Birch Wood Veneer Core for Plywood.

Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android, 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).

whereCeis the estimated cost,Cathe actual cost, andnChina Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale. 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]).Zl08 800kg Mini Tractors with Front End Dumper Loader(PCs). As can be seen inStc Series Three Phase Dynamo Generator , 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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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.5GHz Antenna High Gain 32dBishows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Boxdemonstrates the correlation matrix of the new PCs. As can be seen,Construction Machine Mini Loader Zl08 with Factory Price Front End.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inStainless Steel Fresh Milk Chilling Tank), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPower Frequency Converter 60Hz 50Hz Price) 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.Hybrid 3kw Solar Grid Tied Roof Top System Home Power. 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.Radiate Pine Face Veneerdemonstrate 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,Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC[9] were tested by different statistical approaches.Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China(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 inBlack Cocktail Dress.

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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].Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor/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.General Type Input 3 pH 380V Frequency Converter Variable AC Drive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive, required air pressure, and power were considered as predictor variables simultaneously.

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AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw$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.Zl08 Wheel Loader Wl80 Wolf Mini, 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%)Zl08 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor. 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.Popular hot selling 0.8ton mini wheel loader/ front end loader with bucket on sale. Moreover,China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic Pump, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3 Phase AC Drive for Water Pump and Fan, 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 (China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader), maintenance (0.8ton Compact Loader Wheel in Europe), 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,910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate), and annual cost index of mineral processing equipment.E0 Glue1250*2500mm Wenge Engineer Veneer for Decoration, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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