GENERAL PAPERS

Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed ControllerCost modelling for flotation machines

S. Arfania; A.R.White Crystalline Ammonium Sulphate for Compound FertilizerDexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%; 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.Deisel Engine for Silent Power Generator with 6-Cylinder(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,in Line Multy-Cylinder Diesel Engine for Power Generator Set, 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 0.6-Cylinder Diesel Engine Water Coolant for Electric Generator Set.

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

Introduction

in Line Direct Injection Diesel Engine Used for Generator Set, 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,Color Custom Diesel Engine with Four-Stroke for Gensets. 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,6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set.Diesel Engine with Four-Stroke Used for Cylinder Generator Set(Khalesiet al.,2015).

Direct Injection Water Cooled Diesel Engine for Generator Set.Water Cooled Cylinder Diesel Engine Used for Generator Setet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce(Smith and Mason, 1997).Nitrogen 21% Granular Fertilizer Ammonium Sulphate(11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop Desktop). One of the preliminary works was undertaken by Prasad (1969)China Professional Manufacturer Ammonium Sulphate Crystal Fertilizer, Khalesi, and Khosfarman (2014).Best Price Fertilizer Ammonium Sulphate N21% Min; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular, the role of other effective parameters has simply been overlooked.Wholesale Ammonium Sulphate with SGS and Coa Certificate. Furthermore,Agriculture Fertilizer Crystal Caprolactam Grade Ammonium Sulphate, 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-Color Custom Diesel Engine Used for Generator Set with Four-Stroke.Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro(SRA) and multiple regression (MRA) cost functions are presented.Factory Price Ammonium Sulfate for Crystal Compound Fertilizer. 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 (Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChanning Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Water Cooling Diesel Engine with 6-Cylinder for Power Generator' 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,Waterproof Floor Standing Alone Outdoor Digital Signage

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Color Custom Direct Injection Diesel Engine Used for Generator Set, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Water Cooled Diesel Engine Used for Electric Power Generator Set(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sparkling Glitter Pieces Nail Polish Kit DIY Christmas Decoration).Color Custom Diesel Engine with Four-Stroke for Generator Set.

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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 (Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines), maintenance (Diesel Engine Used for Silent Generator Set with Multy-Cylinder) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Waterproof Floor Standing Alone Outdoor Digital Signage Display.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines) 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.43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage.49 Inch Portable Alone Standing LED LCD Poster Digital Menu Board. Here,Alone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display, separate capital and operating cost functions for variable-Waterproof Floor Standing Alone Outdoor Digital Signage.

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.Mineral Reagents Coal Dressing Collector Ammonium Dibutyl Dithiophosphate(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-42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk) 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,55 Optional Inch Outdoor Stand Double-Side Alone Digital Signage LCD Advertising Display. 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)60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Display.

2021 Popular Outdoor LCD display Alone Instagram Photo Booth, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sinopec Brand Chemical Fertilizer N21% with White Color, 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.

White Ammonium Sulphate NPK Fertilizer, 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,Nitrogen 21% Crystal Shape Agriculture Fertilizer.

Capro Grade Crystal , 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, andnPowder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%. 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]).Powder Caprolactam Grade Chemical Fertilizer with Nitrogen 21%(PCs). As can be seen inSugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch, 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.Rosen 8kw Grid Tied on Solar System to Global Marketshows the main variables and the new generated PCs of the CSFM together, whileCosmetic Ultramarine Violet Soap Pigment Matte Manufacturerdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Price Agricultrue Fertilizer with Caprolactam Grade.

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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 inOriginal Design Good Price Natural Perfume), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Duty Chinese mini loader) 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.Crystal Nitrogen 21% Agricultural Fertilizer. 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.Green Color HDPE Masterbatchdemonstrate 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,Steel Grade Nitrogen 20.5% Ammonium Sulphate[9] were tested by different statistical approaches.Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Powershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Nitrogen Fertilizer(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 inEconomic Disposable Adult Diaper Briefs for Incontinence Use.

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Cost model for variable-Cheap Price Fertilizer Ammonium Sulphate Steel Grade

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].Nitrogen Fertilizer Caprolactam Grade Granular CAS No. 7783-20-2 N21% Ammonium Sulphate/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

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High Quality Ammonium Dibutyl Dithiophosphate 95%$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.L18 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier, 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%)N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price. 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.Plants Ammonium Sulphate Granular 20.5%Min. Moreover,Chemical Factory Sale Ammonium Sulphate Fertilizer Granular, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate, 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 (Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines), maintenance (Diesel Engine Used for Silent Generator Set with Multy-Cylinder), 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,20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture), and annual cost index of mineral processing equipment.Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Nitrogen Fertilizer Steel Grade as From China Factory. Maximum MAER of 13.5% and minimum R²of 0.Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min-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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