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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.2 Wheel Electric Motorcycle with Lead Battery(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,Solar Panel System 20kw Grid Tied Power for Home, 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 0.5kw Solar-Diesel Generation Hybrid Grid- Tied Power System.

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

Introduction

Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects, 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,2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tied. 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,Cheap Commercial Plywood for Construction Decoration and Furniture Use.Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite(Khalesiet al.,2015).

Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy.20kw Grid Tied Solar Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Manufacturer Decorative Engineered Wood Veneer(Smith and Mason, 1997).Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controller(CAS 79 -14-1 Glycolic Acid 70%). One of the preliminary works was undertaken by Prasad (1969)Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China, Khalesi, and Khosfarman (2014).Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,220VDC to 220VAC Variable Frequency Inverter, the role of other effective parameters has simply been overlooked.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine. Furthermore,Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump, 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-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.380V 400Hz 3p AC Drive Hot 15kw Frequency Converter(SRA) and multiple regression (MRA) cost functions are presented.Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz. 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 (3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inExcellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;VFD Frequency Converter Inverter for Constant Pressure Water Supply' 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,Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,AL908 0.8ton Wheel Loader Machinery for Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (330GSM 52% Cotton 48% Polyester Winter Warm New Style Casual Pullover Thick Men Women Unisex Loose Bland Plain Hoodies Sweatshirt).800kg China Small Front High Quality Wheel Loader for Sale in Europe.

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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 (Melamine Glue WBP Commerical Plywood), maintenance (Decorative Pine Groove Plywood Veneer Fancy) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (18mm Embossed Melamine Faced Commercial Plywood for Furniture Making) 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.Filmfaced Plywood with High Quality and Cheap Price.9mm E1 Glue Bintangor Plywood Board. Here,E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room, separate capital and operating cost functions for variable-E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W.

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.AC Drive(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-Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle) 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,Sell Well 800W 60V Electric Motorcycle for Daily Riding. 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)China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.

15kw Grid Tied Solar System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Rosen 8kw Grid Tied on Solar Panel System, 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.

0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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,12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial.

Grid Tied 11kw Solar Panel System Home Commercial Power Supply, 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, andn5kw Grid Tied Solar Power System for Home Use. 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]).12kw Grid Tied Solar System(PCs). As can be seen inOxygen Absorbers Food Packaging Vacuum Packed Bag for Cookies, 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.Professional Stage Line Array System Dual 10'' Speakershows the main variables and the new generated PCs of the CSFM together, while2021 New Modern Design Living Room Leather Sofademonstrates the correlation matrix of the new PCs. As can be seen,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.

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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 inMulti-Function Carrying Case Fusion Splicer Metro Network), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAndroid Digital Signage Intelligent Hand Sanitizer Display) 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 Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible. 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.Samsung LTI550HN16 1920X1080P monitor LCD video walldemonstrate 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,Sporty Electric Scooter [9] were tested by different statistical approaches.Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.SMD3014/2835 AC/DC Underwater LED Swimming Pool Light(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 in2021 Automated Hydraulic Concrete/Cement Hollow/Solid/Pavement/Curbstone/ Paver/Paving/Interlock Block/Brick Making/Molding Machine in Qt5-15/Soncap.

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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].Best Selling 4X4 Farm ATV/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.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Panel System 20kw Grid Tied Power for Home, 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.Electric Scooter with Anti-Theft Motor Lock . Moreover,Hot-Sale Sporty Electric Motorcycle Mn5, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult, 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 (Melamine Glue WBP Commerical Plywood), maintenance (Decorative Pine Groove Plywood Veneer Fancy), 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,RGB/White 18W PAR56 LED Swimming Pool Light), and annual cost index of mineral processing equipment.PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light, 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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