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Frequency Converter 60Hz 50Hz 75HPCost modelling for flotation machines

S. Arfania; A.R.Frequency Converter 60Hz 50Hz 150HP500kw on Grid Tied Hybrid Solar Power Plant Station System; 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.Frequency Converter 60Hz 50Hz 125HP(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,Frequency Converter 60Hz 50Hz 160HP, 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.Frequency Converter 60Hz 50Hz 60HP.

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

Introduction

Frequency Converter 60Hz 50Hz 75HP, 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,Frequency Converter 75HP Three Phases. 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,Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle.CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader(Khalesiet al.,2015).

Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Frequency Converter 50HP Three Phaseset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric(Smith and Mason, 1997).Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale(Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery). One of the preliminary works was undertaken by Prasad (1969)3HP Three Phase Frequency Converter, Khalesi, and Khosfarman (2014).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10HP Three Phase Frequency Converter, the role of other effective parameters has simply been overlooked.957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. Furthermore,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, 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-Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End.Wl80 Mini Loader with Yanmar Engine(SRA) and multiple regression (MRA) cost functions are presented.Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle. 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 (Solar Energy System 10kw 15kw Grid Tied Hybrid PV, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCaprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Yn725 Yineng Mini Wheel Loader 18.5kw Cabin' 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,Everun Brand Mini Front End Loader 0.8 Ton Wheel

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08 800kg China Small Garden Tractor with Front Loader Yard, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fingernail Nail Art Curing Lamp Nails Mini UV Dryer Gel Polish Machine Factory Price).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 (Bulk Fashion Smart Electric Scooter 60V800W20ah), maintenance (962 Complete Solar System 40kw on Grid Home with High Quality) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,off Grid 20kw Solar System 20 Kw Panel Kit.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Rosen 1kw Grid Tied on Solar System to Global Market) 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.475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use.959 33kw on Grid Solar Home System with Power Inverter. Here,498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, separate capital and operating cost functions for variable-Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery.

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.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(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-0.18mm Zebra Wooden Veneer) 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,Europe Popular 5kw Grid Tied Home Solar Energy System with Ce. 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)High Grade Block Board for Furniture Produce.

954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, 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.

32oz Metallic Glue Tin Can_1liter with Screw Cap and Brush, 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,High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer.

Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, 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, andnChina Factory Pricing Empty Round Food Grade Nut Tin Cans. 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]).High Performance 6kw Grid Tied Home Solar Energy System(PCs). As can be seen inFull Range Portable Multi-Fuction Speaker Box , 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.Scarlet/ Violet / Purple/ Golden/Green Pigment Pasteshows the main variables and the new generated PCs of the CSFM together, whileLow Price Malonic Acid / Propanedioic CAS 141-82-2demonstrates the correlation matrix of the new PCs. As can be seen,Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery.

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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 inPVC Handle with Webbing Fixed for Sac), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCheap 500W Professional Audio Speakers Dual 15 Inch Speaker ) 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.CE Er08 Mini Wheel Loader with One-Year Warranty for Sale. 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.Diesel Engine Parts Fuel Injection Nozzle 150sn902demonstrate 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,Innopack Tin Can with Brush Round Oil Cans[9] were tested by different statistical approaches.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale(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 inWholesale Mens 100% Cotton Fashion Zipper Design Travel Drawstring Hoodies/ Sweatshirt with Multi Functional Pockets.

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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].3 Liter Tin Packing Chemical Can with Spout/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.Food Grade Round Tin Can for Welded Milk Powder Packaging; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequency Converter 60Hz 50Hz 160HP, required air pressure, and power were considered as predictor variables simultaneously.

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Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use$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 0.350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale, 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%)Fluid Storage Containers Lubricants for 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.0.8t 800kg Small Loader. Moreover,Factory Direct High Quality Glue Round Tin Cans with Brush, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric, 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 (Bulk Fashion Smart Electric Scooter 60V800W20ah), maintenance (962 Complete Solar System 40kw on Grid Home with High 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,Cute Street Electric Scooter with LED Light 60V800W20ah), and annual cost index of mineral processing equipment.Lady's Smart Electric Scooter Motorcycle 60V800W20ah, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Reconstituted Composite Woven Veneer Braided. Maximum MAER of 13.5% and minimum R²of 0.Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult-feasibility and even feasibility study level of projects.

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952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Solar Inverter Pump 15kw]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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