GENERAL PAPERS

VFD AC DriveCost modelling for flotation machines

S. Arfania; A.R.Anycast M9 Plus WiFi Display Dongle Receiver 1080P HDMI TV Dlna Airplay Miracast Universal for Ios/Mac/AndroidColor Marking 20W Fiber Laser Machine Price for Metal; 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.Antique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair(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,Chinese Wooden Silver-Leaf Classical Fabric Sofa, 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.Enterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Band.

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

Introduction

Hotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa , 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,Modern Simple Hotel Lobby Discussion Living Room Leisure Sofa. 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,Sofa Set Fabric Velvet Furniture.OEM PVC Home Suede Inflatable Sofa with Footstool(Khalesiet al.,2015).

Modern Simple Living Room L Shape Corner Recliner Sectional Sofa.Fat Boy Bean Bag Cover for Sportset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PRO Audio Speaker 12 Inch Sub PA Passive Speakers(Smith and Mason, 1997).64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV(High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base). One of the preliminary works was undertaken by Prasad (1969)Living Room Lounge Furniture Sofa Fabric 3 Seater Couch, Khalesi, and Khosfarman (2014).Stable Quality 1year Qhdtv HD IPTV Abonnement Reseller Panel Lxtream Code All Europe Italy UK USA Spain France Arabic Morocco Channel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Customization Available Modern Popular Home Furniture Set Living Room Leather Sofa, the role of other effective parameters has simply been overlooked.Cafe Bar Table Wrought Iron Home Living Room Dining. Furthermore,China Manufacturer Latest European Modern Furniture Genuine Leather Sofa, 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-Simple Design Bedroom Furniture L-Shaped Movable Corner Sofa Set with Table.New Products Lift Recliner Chair Sofa (SRA) and multiple regression (MRA) cost functions are presented.Latest L Shape Genuine Leather /Bonded /PU /Fabric Flat Bedroom Furniture Sofa Bed. 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 (Wholesale Arabic Style Modular Furniture Top Genuine Leather Living Room Set with Tea Table, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVariable Frequency Inverter Solar Pump DC/AC(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Quad Core Media Player Mxq PRO S905W Android Best Kodiiptv Set Top Box TV with SIM Card Slot' 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,Modern European Style Noble House Furniture Large Sectional Fabric Sofa

►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 Offer Nordic Removable and Washable Livingroom Fabric Sofa, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1 Year Qhdtv Abonnement IPTV Subscription Code Europe Spain Portugal France Italia Arabic Italy French Belgium for Android Smart TV Box M3u(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kaida Fiber Braided Reinforced PVC Garden Pipe Plant Flexible Hose for Water Irrigation 50 mm).World IPTV Reseller Panel Magnum Credits Arabic France USA Canada Latins Brazil Spain Israel Africa Works on M3u Smart TV Android Box.

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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 (800kg Wheel Loader Mini 780 Radlader), maintenance (Quilted Fabric Sofa Couch Bed Set Armchear Furniture) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,AC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFD.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Modern Home Hotel Lesuire Corner Single Fabric Living Room Sofa) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Living Room Furniture) 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.Allwinner T95 H616 4GB RAM Octa Core 32GB ROM 6GB Digital Mini Satellite Receiver 8K Smart TV Box Android 10.Cheapest Set Top Box Mxq PRO Rk3229 Android 7.1 Quad Core 1GB 8GB TV. Here,Nordic Leather Sofa Modern Simple Three Seats, separate capital and operating cost functions for variable-Best Selling Modern Design Living Room Classic Leather Recliner Massage Chinese Home Furniture.

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.Wholesale Folding Bed Space Saving Furniture Sofa Modern Recliner(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-Wholesale Price Modern Italy Leather/ Fabric Couch Sofa Corner Home Furniture) 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,2021 New Modern Design Living Room Leather Sofa. 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)Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TV.

2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofa, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality European Style Modern Furniture, 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.

2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture , 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,VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter.

Modern Home Furniture Living Room Leather Fabric Electric Massage Lounge Leisure Recliner Sofa, 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, andn7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc. 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]).Wholesale Folding Bed   Recliner Sofa Beds Fabric(PCs). As can be seen in55 Inch Stand Alone Digital Photo Booth LCD Advertising Display, 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.PA System 5 Inch 100V 20W 8ohm Rimless Coaxial 2-Way Ceiling Speaker with Kevlar Drivershows the main variables and the new generated PCs of the CSFM together, whileSupply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8demonstrates the correlation matrix of the new PCs. As can be seen,Motor Electronic Power Frequency Converter 380V 2.2kw.

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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 inLiquid Solvent Dyes Series with Various Color Leather Finishing), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch) 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.Twisan Honoured Production 800kg Small Front End Loader with High Quality. 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.18'' Subwoofer Speaker Box Ls1200demonstrate 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,Frequency Inverter 380V 50/60Hz[9] were tested by different statistical approaches.Vin Number Fiber Laser Marking Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.15kw Frequency Inverter for Solar Panel and Fan Pump Input 380-600V DC(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 inLuxury Round Crystal Trophy Award of Free Custom Logo.

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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].Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC/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.Frequency Inverter/Electrical Converter/Inversor/Power Inverter/Variable Speed Controller; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Wooden Silver-Leaf Classical Fabric Sofa, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Supplier of Variable Frequency Drive/AC/DC Motor Speed Controller$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.AC Drive Solar Charge Controller 3 pH Inverter Welding Machine Elevator Motor Price, 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%)AC Drive Frequnce Converter 5.5kw Pump Use . 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.0.8 Ton Mini Wheel Loader with Lowest Price. Moreover,VFD AC Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Automatic Motor Speed Controller Variable AC Drive 1/3 Phase 1.5 Kw 220 V/380 V, 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 (800kg Wheel Loader Mini 780 Radlader), maintenance (Quilted Fabric Sofa Couch Bed Set Armchear Furniture), 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,Water Pump Frequency Inverter), and annual cost index of mineral processing equipment.Small Variable-Frequency Drive , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,VFD Motor Drive Inverter Converter 1.5kw / 2.2kw 220V Variable Frequency. Maximum MAER of 13.5% and minimum R²of 0.VFD AC 380V 1.5kw Three Phase Inverter Frequency Converter Variable Drive-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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