GENERAL PAPERS

Three Phase 380V Small 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.New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210(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,10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer, 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.Aicrowe L- .

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

Introduction

Diase PRO Audio Dual 10inch Professional Line Array 700W, 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,PS10 High Power 10 Inch Monitor PA Speaker for Live Performance. 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,Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches.Food Grade Vitamin a Palmitate Powder CAS 79 -81-2(Khalesiet al.,2015).

Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate.Local Anesthetics Dibucaine Pharma Raw Powder CAS 85- 79 -0et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Wood(Smith and Mason, 1997).10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with(20W 30W Handheld Vin Number Metal Logo Laser Marking Machine). One of the preliminary works was undertaken by Prasad (1969)High Quality 98% Acrylamid Powder CAS 79 -06 1, Khalesi, and Khosfarman (2014).Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Food Grade Lactic Acid 79 -33-4, the role of other effective parameters has simply been overlooked.Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4. Furthermore,10 " Inch Speaker System PRO Audio Entertainment Speakers , 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-10 -50W 6.5 Inch PA Sound Ceiling Speaker.Professional Audio Speaker Double 10 Inch Line Array (SRA) and multiple regression (MRA) cost functions are presented.Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker. 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 (Custom Plastic Food Contact Packaging Bags, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNo Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 Inch 600W High-End Stage Line Array PRO Audio' 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,Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plush&Stuffed Santa Claus).10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active Speaker.

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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 10 Inch 2 Way Mini Portable Line Array Speaker), maintenance (China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0) 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 Custom Printed Pet Food Packaging Bags.Clothes /Cosmetics Plastic Packaging PP Bags PEVA/OPP/ CPE/ Pvf Shoes Shirt Storage Stock Self Heat Sealing. Here,Aluminum Foil Plastic Standing-up Food Packaging Three Side Sealing Container Candy &Chip Mylar Bag, separate capital and operating cost functions for variable-Free Sample Custom Printing Stand-up Food Packaging Zipper Plastic Bag Kraft Film Laminated Ziplock.

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.Amino Acid L-Arginine 99% CAS 74- 79 -3(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-Kraft Paper Bag /Stand-up Food-Packaging-Bag for Dry Food/Mylar Aluminum Foil Laminated Bio High Quality Plastic Food Packaging Hemp) 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,Matt Food Packaging Child Proof Zipper Plastic Stand up Pouch Water &Air & Smelly Kraft Film Laminated Food&Tea&Coffee&Candy Bag. 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)Glossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistant.

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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.

Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch, 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,Custom Liquid Stand up Pouch Spout for Food Packaging.

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whereC_eis the estimated cost,C_athe actual cost, andnOutdoor Dual 10 " Three Way Line Array Professional Audio Speaker System. 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]).2021 New Compact 10 " Active Line Array Speaker Sound System(PCs). As can be seen inMini Dumper Wolf Wl80 Loader with CE, 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.Screw Compressor Low Cost Small Type Pressure Sensorshows the main variables and the new generated PCs of the CSFM together, whileChina Safe Automatic CVT 150cc Go Kart Motor with Reversedemonstrates the correlation matrix of the new PCs. As can be seen,Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System.

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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 inBhs Twin Shaft Concrete Mixer as Industrial Facility Since 1991), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector) 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.CAS: 13553- 79 -2; Rifamycin S. 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.8 Channels HDMI to DVB-T Modulatordemonstrate 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,PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade[9] were tested by different statistical approaches.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Arrayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price(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 Baby Plush Toy Animals Crocodile Stuffed Animal.

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Cost model for variable-Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery

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].99% Purity 1-Bromo-3/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.Pharmaceutical Intermediate 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer, required air pressure, and power were considered as predictor variables simultaneously.

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O-Phthalaldehyde CAS 643- 79 -8$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 0.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8, 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%)Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1. 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.Dimethylthiotoluene Diamine. Moreover,Professional Digital Audio Line Array System Dual 10 Inch Active, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10 Inch Sound System Speaker Box China Line Array Audio Systems, 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 10 Inch 2 Way Mini Portable Line Array Speaker), maintenance (China Factory Supply CAS 79 -03-8 Propionyl Chloride with Best Quality), 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,Sulfasalazine CAS No. 599- 79 -1), and annual cost index of mineral processing equipment.Double 10'' Compact Line Array, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Karaoke System 10 Inch Sound Speaker Cvr Professional Audio. Maximum MAER of 13.5% and minimum R²of 0.2 X HDMI-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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