GENERAL PAPERS

0.75kw-11kw Three Phase 380V Frequency Inverter VFDCost modelling for flotation machines

S. Arfania; A.R.Cosmetic Material 99% Purity Tretinoin PowderAdvanced 7.5MHz/10MHz Superficial Organ Use Wireless Linear Ultrasound Probe; 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.High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !(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,Spts, 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 Power DJ Sound Equipment System Line Array PA Speaker.

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

Introduction

2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array, 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,Best Price Medicine Grade Lanosterol Powder. 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,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array.PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Professional Line Array Speaker Neodymium Af15, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade' 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,Skin Care Raw Material Vitamin a Palmitate Powder

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Lf Drivers 10 Inches Professional Speaker Pw1032-64, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Easy Installation Good Quality Silicone Rubber Cold Shrink Tube).Made in China PA Speaker System Three Way Loudspeakers.

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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 (Line Array Speaker Professional PA System Two Way Full Rang Passive ), maintenance (Pyridinecas Number 110//86//1 Used as Chemical Reagent) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (P-Toluenesulfinic Acid Sodium Salt Hydrate ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Bloom Tech Chemical Reagent Bis ) 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.Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7.CAS: 13463-67-7 Titanium Dioxide Powder. Here,Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, separate capital and operating cost functions for variable-Factory Supply 99% Dexketoprofen Trometamol Powder.

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.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth (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-Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box) 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,Feiyang New Hot Selling Trolley Speaker Fg210-06. 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)V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater.

PRO Audio PA System Digital Mixer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Food Grade L-Arginine with Best Price, 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.

J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System, 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,10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure.

Wild Bee Venom Extract Melittin 99% Powder for Skin Care, 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, andnSupply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1. 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]).Retinoic Acid CAS 302- 79 -4 in Stock(PCs). As can be seen inMotor Electronic Power Frequency Converter 380V 2.2kw, 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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ISO Certified 100% Natural L-Arginine Powder,High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1(CSFM) is presented here as an example.Disperse Violet 26 Dyesillustrates 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.750ml Metal Tin Can Container for Chili Oil Canningshows the main variables and the new generated PCs of the CSFM together, whileMini Small Hot Sale in Europe Wheel Loader fordemonstrates the correlation matrix of the new PCs. As can be seen,Chemical Reagent Bloom Tech 2.

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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 inInternational Sea Freight Shipping Agent Service From China to Mayotte), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromJwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet ) 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.Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G. 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.Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Workdemonstrate 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,KTV 10 Inch Speaker Box with Good Sound[9] were tested by different statistical approaches.Wolf Agricultural Machinery Construction Small Front End Wheel Loader with Euro5 and Tier4 Engineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 Inch Powered Line Array Speaker Active(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 inGood Quality Automatic 3 Axis CNC Router Wood Carving Machine 1325 for Sale.

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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].Dual 10 Inch Line Aray Powered Active Sound System/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.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Spts, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10 " 600W Line Array PA Professional Speaker $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 0.10 " Dia Cast Aluminum Professional Subwoofer Basket, 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%)Food Packaging Vacuum Pouch. 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.Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery. Moreover,L-Arginine 99%, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Factory Price CAS 702- 79 -4 1, 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 (Line Array Speaker Professional PA System Two Way Full Rang Passive ), maintenance (Pyridinecas Number 110//86//1 Used as Chemical Reagent), 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,CPP High Temperature Vacuum Retort Pouch), and annual cost index of mineral processing equipment.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Temperature 3 Side Seal Retort Pouch for Corn. Maximum MAER of 13.5% and minimum R²of 0.R-3-Amino-1-N-Boc-Piperidine-feasibility and even feasibility study level of projects.

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Food Grade L-Arginine with Best Price, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Kas PRO Top 10inch Line Array Audio Speaker]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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