GENERAL PAPERS

Frequency ConverterCost modelling for flotation machines

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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.Snow Mobile Rubber Track Gas Adult Ski Scooter(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,Factory Price Home Solar Energy System 3kwh with 5 Years Warranty, 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.New Design Stretch Mark Removal Beauty Machines.

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

Introduction

Powerful Snow Ski LED Lights Adult Racing a Snowmobile, 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,Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery. 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,Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House.RF Skin Tightening Face Lifting Machine(Khalesiet al.,2015).

3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System.Hot Selling Face Lifting and Slimming Chin Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture(Smith and Mason, 1997).110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car(High Quality Procainamide Hydrochloride 614-39-1). One of the preliminary works was undertaken by Prasad (1969)RF Vacuum Face Lifting and Slimming Chin Machine, Khalesi, and Khosfarman (2014).Gas Ski Adult PRO Electric Start Snow Scooter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, the role of other effective parameters has simply been overlooked.Skin Whitening Machine / Fractional RF. Furthermore,20MHz RF Wrinkle Removal, 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-Vacuum Shape Velashape Body Slimming SPA Equipment.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6(SRA) and multiple regression (MRA) cost functions are presented.20MHz Skin Rejuvenation Vacuum RF Lifting Machine. 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 Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Supplier EEC and EPA Approved 1500cc Quadski' 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,China Hot Selling 1500cc Amphibious Watercraft

►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 Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Crystal Jewelry Fashion Ring 925 Sterling Silver).Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220.

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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 (Single 15'' Sub Bass to U Series Full Range Speaker), maintenance (Benzyl Benzoate Pharmaceutical Intermediates) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Single 15'' Passive/Active Subwoofer with High Quality Plywood.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Concert Line Array Speaker System Vt4888) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use) 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.High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock.95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902. Here,Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti, separate capital and operating cost functions for variable-Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.

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.Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620(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-Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock) 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,Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality. 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)Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6.

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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.

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whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid.

Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse, 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, andnOEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W. 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]).Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801(PCs). As can be seen inFactory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery, 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.Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PCshows the main variables and the new generated PCs of the CSFM together, whilePortable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lightingdemonstrates the correlation matrix of the new PCs. As can be seen,Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8.

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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 inSea Freight From Shanghai to USA/America), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSanyou Slg New Efi System 125cc -150cc Gasoline Scooter) 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.Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5. 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.150cc 4-Strokedemonstrate 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,Single 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806[9] were tested by different statistical approaches.Professional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5(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 inwith Competitive Price Used Freestand Bath 1300mm Bathtub Malaysia.

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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].320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824/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.PRO Audio Accessories of Line Array Rigging K1 ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Price Home Solar Energy System 3kwh with 5 Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.

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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.Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker. Moreover,Birch Plywood 2-Way Crossover Passive Loudspeaker , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Srx715 High Quality Neodymium PRO Audio, 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 (Single 15'' Sub Bass to U Series Full Range Speaker), maintenance (Benzyl Benzoate Pharmaceutical Intermediates), 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,Kf760 Line Array System for Outdoor Concert), and annual cost index of mineral processing equipment.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker, 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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