GENERAL PAPERS

Professional Speaker Box F12+Cost modelling for flotation machines

S. Arfania; A.R.Hot Sale High Performance Vector Frequency Converter 380V 45/55kwBintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration; 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.Single/Three Phase 220V 380V Vector Control Frequency Converter(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,Factory-Enginneered Veneer Ash in 0.30mm, 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.Small Frequency Inverter 380V 50/60Hz.

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

Introduction

China Single Phase Variable Frequency Inverter 1.5kw, 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,1.2mm White Poplar Veneer From Factory for Exporting. 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,Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw.Eucalyptus Core or Birch for Veneer with Grade AA(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVitamin a Palmitate CAS 79 -81-2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Beer Can' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Disposable Women Lady Cotton Sanitary Napkin).Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados.

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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 (China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock), maintenance (Frequency Inverter Solar Pump Vector Air Compressor Power Transformer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Supply China Control Frequency Converter VFD Power Transformer Motor Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.75kw-11kw Three Phase 380V Frequency Inverter VFD) 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.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System.2876 10kw Home Used Solar Power System on Grid Roof. Here,2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof, separate capital and operating cost functions for variable-AAA Grade 0.9mm Poplar Core/Veneer for Plywood/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.Radiate Pine Face Veneer(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-Grade AA Veneer Furniture Building Material Plywood to Dubai) 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,1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid. 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)Manufacturer of Enigine Oil Can.

Small Wheel Loader Wl80 800kg Loaders for Farm Work, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L Tin Can for Camellia Oil , 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.

CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, 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,Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box.

2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle, 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, andnSet Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core. 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]).Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box(PCs). As can be seen inHair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4, 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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5 Litre Extra Olive Oil Tin Can ,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw(CSFM) is presented here as an example.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Saleillustrates 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.PE Geomembrane/Waterproof Sheet Extrusion Lineshows the main variables and the new generated PCs of the CSFM together, whileMini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Controldemonstrates the correlation matrix of the new PCs. As can be seen,Frequency Converterlow Industrial Power Inverter.

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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 inStainless Steel Portable Travel Water Tea Coffee Mug with D-Ring Carabiner Hook as Handle for Outdoor Sports Camping Hiking Climbing Home Office Adults & Kids), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromPlastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price) 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.China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery. 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.PA Woofer Speaker T- 10 12 15demonstrate 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,Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter[9] were tested by different statistical approaches.3 Phase 50 - 60Hz Intelligent Power Savershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw(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 in6W E27 LED Bulb Auto PIR Infrared Motion Sensor Detection Lamp White Light SMD 5730 12LEDs Bulbs & Tubes.

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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].Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle/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.Solar Pump Inverter Price Quality AC Drive Frequency Converter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory-Enginneered Veneer Ash in 0.30mm, required air pressure, and power were considered as predictor variables simultaneously.

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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.Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle. Moreover,2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw, 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 (China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock), maintenance (Frequency Inverter Solar Pump Vector Air Compressor Power Transformer), 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,2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter), and annual cost index of mineral processing equipment.Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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