GENERAL PAPERS

AC Variable Frequency Drive Single PhaseCost modelling for flotation machines

S. Arfania; A.R.Trimethyl CisFactory Supply Dimethyl 2; 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.Fast Delivery High Purity Benzaldehyde 100-52-7(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,Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223, 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.Swimming SPA Pool Hot Tub Combo.

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

Introduction

Zhejiang Province Acrylic Standing Alone Bathtubs, 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,Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB. 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,Perkins Genuine Cyl Head Assy .Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar(Khalesiet al.,2015).

Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712.Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assemblyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Natural Horizontal Bamboo Veneer for Panel Board(Smith and Mason, 1997).Jwell  PP Corrugated Roof Sheet Extrusion Machine(5L Chemical Oil Tinplate Can with Metal Press Cover). One of the preliminary works was undertaken by Prasad (1969)Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine, Khalesi, and Khosfarman (2014).Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect, the role of other effective parameters has simply been overlooked.Alcohol Benzene Polyamide Ink Resin. Furthermore,High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line, 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-Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect.Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine(SRA) and multiple regression (MRA) cost functions are presented.Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect. 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 (Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue' 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,Co-Soluble Polyamide Resin with Top Quality

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Alcohol Polyamide Resin for Printing Ink, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Popular Alcohol Soluble Polyamide Resin for Gravure Ink(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3015 Factory Fiber Laser Cutting Machine with Ce at an Affordable Price).Polyamide Resin with Benzene Soluble for Printing Inks.

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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 (Alcohol Soluble Polyamide Resin for Printing Ink), maintenance (Supply Rosin Modified Polyamide Resin for Paint) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Benzaldehyde with Fast Delivery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Supply Alcohol Soluble Polyamide Resin for Ink) 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.CAS No. 151103-09-2 4- .Sophisticated Price of Polyamide Resin for Whosale. Here,100% Purity Phenol Polyamide Resin, separate capital and operating cost functions for variable-High Polyamide Resin.

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.Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine(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-Hot Sale Hy-688 Polyamide Resin) 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,100% High Purity Polyamide Resin for Ink. 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)Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing.

Polyamide Resin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy, 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.

Geomembrane Making Machine, 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,Spoke Wheel 26-Inch 21-Speed Top with Bicycle.

26 Inch Mountain Bike From China Bicycle, 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, andnPE Waterproof Roll Extrusion Machine. 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]).PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Line(PCs). As can be seen in0.5L Tin Can with Dry Cover, 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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6speed 20inch Wheel Aluminum Alloy Folding Mountain Bike,Bike Hidden Folding Mountain Ebike Suspension Bicycle(CSFM) is presented here as an example.HDPE Plastic Geomembrane Sheet Making Extrusion Machineillustrates 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.USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatoryshows the main variables and the new generated PCs of the CSFM together, while2way Indoor Club Party Wedding Line Array 15inch Sound Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine.

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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 inProtective Surgical Medical Face Mask), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAlone Type Wraped Beam Leaves Iron Padlock ) 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.Hot Sale Am 20 "Mountain Bike with 21 Speeds. 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.Color Changing Swimming Pool Lightsdemonstrate 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints[9] were tested by different statistical approaches.Europe Hot Sell Electric Motorcycle Long Distance The Battery Removable DIY Sticker Cartoonshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902(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 inCustom Made Soft Plush Stuffed Scott Dog Toy with Glasses/Clothes/Hats Accessories.

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Cost model for variable-Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect

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].Iron Oxide Yellow for Pet Feeds/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.Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223, required air pressure, and power were considered as predictor variables simultaneously.

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Dimer Acid Based Polyamide Resin for The Epoxy Material$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.Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin, 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%)Weather Resistance Nylon Polyamide Resin. 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.High Purity 2. Moreover,Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings, 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 (Alcohol Soluble Polyamide Resin for Printing Ink), maintenance (Supply Rosin Modified Polyamide Resin for Paint), 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,Single Row Cylindrical Roller Bearing ), and annual cost index of mineral processing equipment.Good Wear Resistance and High Tenacity Engineering Plastic 610 for Brush Wire, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,OLED Intermediates 2-. Maximum MAER of 13.5% and minimum R²of 0.Zys Hot Sale Wind Turbine Bearing 010.30.560/630/ 710-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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