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GAS Wind Pressure Transmitter with Data DisplayCost modelling for flotation machines

S. Arfania; A.R.Solar Energy System 5kw Panel Home Grid Tied PowerPortable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad; 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.Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design(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,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, 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.Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.

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

Introduction

Haolin Lithium Battery 60V/20ah, 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,Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle. 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,Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush.Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Solar Pump Inverter DC/ AC Supplier, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle 10 Inch Two Way Professional Passive Coaxial Monitor Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725g Yineng Mini Front End Loader, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Everun Er408 Small Loader Compact with Pallet Forks(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customizable Outdoor High Brightness Backlit Letter Sign for Attraction).Yn725g 18.5 Kw/2.

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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 (1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System), maintenance (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725g Yineng Mini Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (3kw Solar Power System for Home Use on Grid) 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.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader. Here,PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, separate capital and operating cost functions for variable-China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw.

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.Yangtze Solar Power Grid Tied System Home 5kw 5K(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 and Competitive Price Electric Motorcycle Scooter for Daily) 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,1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System. 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)AC Fan Frequency Inverter VFD Vector Control 3pH 30kw.

3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Metal Tin with Steel Handle for Paint, 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.

Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps, 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,Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid.

1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale, 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 Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw. 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]).AC Fan Frequency Inverter VFD Vector Control 3pH 18kw(PCs). As can be seen inFg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755, 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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AC Fan Frequency Inverter VFD 3pH 15kw,AC Fan Frequency Inverter 3pH 7.5kw(CSFM) is presented here as an example.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla162p2266illustrates 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.Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Carshows the main variables and the new generated PCs of the CSFM together, whileChina 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubaidemonstrates the correlation matrix of the new PCs. As can be seen,Inverter Cabinet VFD Frequency.

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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 inFresh Water 925 Silver Rhinestone Brooch for Wedding Dress), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale Popular Model 60V 800W Electric Motorcycle for India Market) 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.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader. 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.Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMSdemonstrate 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,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader[9] were tested by different statistical approaches.Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Doorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel(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 inChina Wholesale Polyester Woven Tsa Luggage Belt and Scale.

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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].Yn725g Yineng Mini Wheel Loader/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.Roof Mounting Solar System 10kw off Grid Tied Power; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

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Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House$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.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, 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%)Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader. 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.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin. Moreover,5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin, 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 (1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System), maintenance (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader), 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,Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price), and annual cost index of mineral processing equipment.1389 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Full HD Media Player Minix Neo N42c-4 N4200 4G 32g Internet Games Online Play Racing Windows 10 Smart Set Top Box Support Google Apk Install. Maximum MAER of 13.5% and minimum R²of 0.6000W Single Phase Inverter Grid Tied Home Solar System-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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