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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

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S. Arfania; A.R.2021 New Modern Design Living Room Leather SofaWholesale High Performance Metal Mc4 Connector; 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.Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV(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,2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa, 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.High Quality European Style Modern Furniture.

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


Introduction

2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture , 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 Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter. 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,Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa.7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc(Khalesiet al.,2015).

Wholesale Folding Bed   Recliner Sofa Beds Fabric.Modern Furnitureet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Steel Wheel Hub Buggy 150cc ATV(Smith and Mason, 1997).Foshan Factory Wholesale High Quality Living Room Leather Sofa(Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines). One of the preliminary works was undertaken by Prasad (1969)Tx6s H616 32GB ROM Recorder Android 4GB RAM Stick Set Top 2021 SIM Card Ott WiFi Andriod Smart TV Box, Khalesi, and Khosfarman (2014).Motor Electronic Power Frequency Converter 380V 2.2kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pipo X8 Mini PC Smart TV Box, the role of other effective parameters has simply been overlooked.Twisan Honoured Production 800kg Small Front End Loader with High Quality. Furthermore,Frequency Inverter 380V 50/60Hz, 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-15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC.AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kw(SRA) and multiple regression (MRA) cost functions are presented.Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC. 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 (Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inActive Speaker with LED Display 15"500W Full Range Bluetooth H-15p(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;50 to 60 Hz Frequency Converter' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,VFD AC Drive, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Italy Standard Travel Adapter Plug Smart WiFi Socket).Water Pump Frequency Inverter.

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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 (Small Variable-Frequency Drive ), maintenance (VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Compact Mini Farm Loader 800kg Wheel 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.Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter.0.8ton Zl08f Small Wheel Loader. Here,Loading Machine, separate capital and operating cost functions for variable-Mini Radlader with Ce for Germany and Sweden Market.

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 Compact Payloader Zl08 Mini Front End Wheel Loader with Ce(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-Farm Equipment 800kg Small Loader Payloader for Sale) 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,Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller. 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)0.8t Multifunctional Hydraulic Wheel Loader for Farm.

Android TV Box X96 Air 4GB 32GB Media Player, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale, 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.

Construction Equipment Mini Wheel Loader with Quick Hitch, 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,Avant Zl08f Mini Wheel Loader for Sale.

Chinese Mini Radlader 800kg Wheel Loader with Pirce, 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, andnFrequency Converter 0.5 HP. 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]).125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(PCs). As can be seen inCompact structure mini loader/wheel loader/ with 0.8ton bucket for building construction, 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.Rosen 5kw on Grid Solar System with Tied Invertershows the main variables and the new generated PCs of the CSFM together, whileHigh Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Pricedemonstrates the correlation matrix of the new PCs. As can be seen,AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter.

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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 inUltra-Fine Wire Drawing Natural Diamond Dies), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLithium Polymer Battery Mica 3.7V Mc602540 550mAh Li Pack for Electronic Device) 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 0.3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules. 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.Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5demonstrate 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,Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box[9] were tested by different statistical approaches.Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screenshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player(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 in120 Ton Fresh Cold Room for Milk.

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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].Mini Loader/Small Wheel Loader Zl08 with CE/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.China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa, required air pressure, and power were considered as predictor variables simultaneously.

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Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe$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.Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks, 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%)AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply. 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.Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale. Moreover,Mini Wheel Loader Hot Sale with Pallet Fork Zl908, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (220V 3HP Frequency Converter, 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 (Small Variable-Frequency Drive ), maintenance (VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency), 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,AC Frequency Converter2HP 1phase), and annual cost index of mineral processing equipment.China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save, 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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