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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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S. Arfania; A.R.Frequency Converter 0.5 HPAC Drive Frequnce Converter 5.5kw Pump Use ; M.R. Khalesi

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.125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(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,Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China, 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.AC Board China Vector Control 60Hz to 50Hz VFD Drive Price.

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


Introduction

Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump, 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,AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter. 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,Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz.3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Mini Wheel Loader Hot Sale with Pallet Fork Zl908, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Stage Active Line Array Speaker with DSP(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;220V 3HP Frequency Converter' 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,Articulated Compact Small Mini Wheeled Dumper Loader

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),7.5HP Frequency Converter Vector(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale 3W-8W E14 Milky White Mini Global LED Filament Bulb Made in China for Living).New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality.

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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 (Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce), maintenance (Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Vectron Frequency Inverter) 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.Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket.Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price. Here,OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV, separate capital and operating cost functions for variable-Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box.

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.Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader(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-Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw) 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,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive. 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)Inverter AC Drive.

Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Small Compact Front Wheel Loader / Zl08 Farm Garden Mini, 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.

DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy, 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,Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine.

Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, 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, andn800kg Farm Mini Loader Chargeur Minilader Cargador. 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]).Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D(PCs). As can be seen inProfessional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2, 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.Super Cooling Smart Electric Scooter 500W 800W Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileGy6 125cc Sproty Scooter /Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android.

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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 inColor Coated Corrugated Steel Roofing Sheets for Tile Roof), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Coffee /Candy/Weed /Hemp Plastic Container) 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 0.4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box. 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.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warrantydemonstrate 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,Dyed Skateboard Veneer[9] were tested by different statistical approaches.Methyl 2-Bromovalerate CAS 19129-92-1 with Safety Deliveryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box(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 inSuper High Quality Indoor Stage P3.91mm Rental LED Screen.

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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].Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter/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.Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China, required air pressure, and power were considered as predictor variables simultaneously.

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Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture$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.Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood, 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%)Natural Wood Sapele Veneer Plywood for Furniture Grade. 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.20mm Plywood or Timber. Moreover,Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm, 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 (Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce), maintenance (Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader), 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,10'x6' Rotary Cut Okoume Veneer for Plywood), and annual cost index of mineral processing equipment.Engineer Veneer Ebony, and over- extrapolation could result in misguiding estimates.

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USBM. 1987.Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8,Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [China Disposable Coral Velvet Slipper]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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