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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

PMMA GPPS Sheet/Board Plastic Extruder Machine/Making MachineCost modelling for flotation machines

S. Arfania; A.R.AC Variable Vector Frequency Inverter3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw; 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.Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller(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,AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price, 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 Drive Frequnce Converter 5.5kw Pump Use .

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


Introduction

0.8 Ton Mini Wheel Loader with Lowest Price, 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,VFD AC Drive. 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,Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V.Water Pump Frequency Inverter(Khalesiet al.,2015).

Small Variable-Frequency Drive .VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequencyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club(Smith and Mason, 1997).VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive(Most Popular Cheapest Price Guitar Capo for Acoustic Guitar). One of the preliminary works was undertaken by Prasad (1969)Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply, Khalesi, and Khosfarman (2014).Compact Mini Farm Loader 800kg Wheel for Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter, the role of other effective parameters has simply been overlooked.0.8ton Zl08f Small Wheel Loader. Furthermore,Loading Machine, 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-Mini Radlader with Ce for Germany and Sweden Market.China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce(SRA) and multiple regression (MRA) cost functions are presented.Farm Equipment 800kg Small Loader Payloader for Sale. 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 (Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSuking Hot Selling Chemical Product (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;0.8t Multifunctional Hydraulic Wheel Loader for Farm' 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 Mini Radlader 800kg Wheel Loader with Pirce

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Frequency Converter 0.5 HP, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Resin Crafts).Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China.

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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 (AC Board China Vector Control 60Hz to 50Hz VFD Drive Price), maintenance (Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules) 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.Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box.Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player. Here,Customized Supported Android 9.0 X96 Air Media Box, separate capital and operating cost functions for variable-Mini Loader/Small Wheel Loader Zl08 with CE.

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 Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment(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-Small Wheel Loader Zl08 CE) 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,Mini Small Hot Sale in Europe Wheel Loader for. 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)Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe.

Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply, 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.

Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Mini Wheel Loader Hot Sale with Pallet Fork Zl908.

220V 3HP Frequency Converter, 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, andnAC Frequency Converter2HP 1phase. 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]).China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save(PCs). As can be seen in150cc Go Kart with EEC , 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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Supprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes,Articulated Compact Small Mini Wheeled Dumper Loader(CSFM) is presented here as an example.Small Frequency Inverter 380V 50/60Hzillustrates 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.Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wireshows the main variables and the new generated PCs of the CSFM together, whileFactory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverterdemonstrates the correlation matrix of the new PCs. As can be seen,Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact.

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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 inSteel Materials Sppv450 Sm570 Alloy Sheet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWater Cooled Diesel Engine Color Custom for Power Generator Set) 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.New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality. 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.AC Drive Frequnce Converter 5.5kw Pump Use demonstrate 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,Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce[9] were tested by different statistical approaches.2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipmentshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader(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 in35A T728 220-600V High Temp Europlug Lra Receptacle.

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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 Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous 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.Vectron Frequency Inverter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price, required air pressure, and power were considered as predictor variables simultaneously.

Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket. Moreover, the operating cost was detailed in different cost items.Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price, indicated inProfessional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2, and major extrapolation should be avoided.

OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV$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.Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box, 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%)Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader. 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.Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw. Moreover,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Inverter AC Drive, 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 (AC Board China Vector Control 60Hz to 50Hz VFD Drive Price), maintenance (Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump), 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,Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control), and annual cost index of mineral processing equipment.Small Compact Front Wheel Loader / Zl08 Farm Garden Mini, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy. Maximum MAER of 13.5% and minimum R2of 0.Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Endless Swimming PoolChina Hot Selling 2021 Mini Electric Scooter Mobility Motorbike WholesaleCorresponding author

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