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.0.8 Ton Mini Wheel Loader with Lowest Price(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,VFD 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.Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V.

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

Introduction

Water Pump Frequency Inverter, 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,Small Variable-Frequency 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,VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency.VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive(Khalesiet al.,2015).

Variable Speed Drive MPPT Motor Controller Solar Pump Inverter Power Supply.Compact Mini Farm Loader 800kg Wheel for Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8(Smith and Mason, 1997).Frequency China Vector Control AC Drive Power Supply Inverter Solar Converter(Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5). One of the preliminary works was undertaken by Prasad (1969)0.8ton Zl08f Small Wheel Loader, Khalesi, and Khosfarman (2014).Loading Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mini Radlader with Ce for Germany and Sweden Market, the role of other effective parameters has simply been overlooked.China Compact Payloader Zl08 Mini Front End Wheel Loader with Ce. Furthermore,Farm Equipment 800kg Small Loader Payloader for Sale, 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-Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controller.0.8t Multifunctional Hydraulic Wheel Loader for Farm(SRA) and multiple regression (MRA) cost functions are presented.Android TV Box X96 Air 4GB 32GB Media Player. 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 (China Articulated Wheel Loader Mr 908 Euro Style 800kg /0.8ton Mini for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Construction Equipment Mini Wheel Loader with Quick Hitch' 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,Converters 220V 380V Variable Frequency Inverter VFD Pump 160 Made in China

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AC Board China Vector Control 60Hz to 50Hz VFD Drive Price, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Aivy Nail Art Best Selling Products of Color Platinum Gel Diamond Supper Glitter Starry Designs Polish).AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter.

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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 (Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz), maintenance (3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Customized Supported Android 9.0 X96 Air Media Box) 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.Mini Loader/Small Wheel Loader Zl08 with CE.China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipment. Here,Small Wheel Loader Zl08 CE, separate capital and operating cost functions for variable-Mini Small Hot Sale in Europe Wheel Loader for.

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.Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe(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-Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks) 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,AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply. 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)Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale.

Mini Wheel Loader Hot Sale with Pallet Fork Zl908, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (220V 3HP Frequency Converter, 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.

AC Frequency Converter2HP 1phase, 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,China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save.

Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter, 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, andnSupprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes. 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]).Articulated Compact Small Mini Wheeled Dumper Loader(PCs). As can be seen in1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid, 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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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.10inch Loudspeaker PA Speaker PRO Audioshows the main variables and the new generated PCs of the CSFM together, whileHigh Efficient Industrial Electric Motor Power Saverdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ce.

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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 inCheap Hot Sale Beverage Plastic Bottle Milk with Aluminum Easy Open Lid), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from49" 450nits LG panel advertising LCD screen ) 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.G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K. 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.Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5demonstrate 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,Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor[9] were tested by different statistical approaches.Two-Way Full Range 1000W Professional Power Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Vectron Frequency Inverter(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 inBest Quality C Tire 185/195r14r15c Summer Tires Light Truck Van.

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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].Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price/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.OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,VFD AC Drive, required air pressure, and power were considered as predictor variables simultaneously.

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Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw$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 0.50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, 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%)Inverter AC Drive. 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 and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control. Moreover,Small Compact Front Wheel Loader / Zl08 Farm Garden Mini, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy, 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 (Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz), maintenance (3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules), 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,Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine), and annual cost index of mineral processing equipment.Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, 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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