GENERAL PAPERS

3kwh Solar Energy Storage SystemCost modelling for flotation machines

S. Arfania; A.R.959 33kw on Grid Solar Home System with Power InverterCinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply; 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.498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use(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,Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery, 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 0.955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.

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

Introduction

0.18mm Zebra Wooden Veneer, 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,Europe Popular 5kw Grid Tied Home Solar Energy System with Ce. 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,High Grade Block Board for Furniture Produce.954 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate(Khalesiet al.,2015).

952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.32oz Metallic Glue Tin Can_1liter with Screw Cap and Brushet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China E Bike Electric Bicycle 48V 20A Ebike Nakto Motorcycle(Smith and Mason, 1997).High Quality B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer(High Quality Argipressine CAS 113- 79 -1 with Best Price). One of the preliminary works was undertaken by Prasad (1969)Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use, Khalesi, and Khosfarman (2014).China Factory Pricing Empty Round Food Grade Nut Tin Cans; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Performance 6kw Grid Tied Home Solar Energy System, the role of other effective parameters has simply been overlooked.Oil Treatment Packaging Tin Container Can. Furthermore,Rosen 8kw Grid Tied on Solar System to Global Market, 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-Factory-Slicer Natural American Red Oak Veneer in 0.50mm.Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery(SRA) and multiple regression (MRA) cost functions are presented.Custom Waterproof and Oil Sealing Round Metal Tin Can. 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 (CE Er08 Mini Wheel Loader with One-Year Warranty for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEougem CE 1.0 Ton Hydraulic Mini Radlader Zl08(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Innopack Tin Can with Brush Round Oil Cans' 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,1gallon Round Metallic Tin Can with Metal Handle for Paint

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Best Smoking Mini Disposable Cigarette Slim Ecigs).350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale.

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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 (Fluid Storage Containers Lubricants for Use), maintenance (0.8t 800kg Small Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Direct High Quality Glue Round Tin Cans with Brush.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cute Street Electric Scooter with LED Light 60V800W20ah) 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.Lady's Smart Electric Scooter Motorcycle 60V800W20ah.Reconstituted Composite Woven Veneer Braided. Here,Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult, separate capital and operating cost functions for variable-Roof Mounting 20kw Grid Tied Solar Power System Home.

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.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin(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-Wolf 0.8t Mini Loader with Grass Fork) 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,Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket. 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)Zl08f Wheel Loader with Rops Cab.

2HP 1 Phase Frequency Converter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (7.5HP Three Phase Frequency Converter, 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.

3HP 1 Phase Frequency Converter, 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,3HP 1 Phase Frequency Converter.

10HP Three Phase Frequency Converter, 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, andn3HP Frequency Converter Vector Three Phase. 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]).15HP Three Phase Frequency Converter(PCs). As can be seen inwith Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty, 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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3HP Three Phase Frequency Converter,1HP Frequency Converter Vector Three Phase(CSFM) is presented here as an example.20MHz RF Wrinkle Removalillustrates 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.Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Homeshows the main variables and the new generated PCs of the CSFM together, whileWolf Mini Loader Wl80 with Grass Cutterdemonstrates the correlation matrix of the new PCs. As can be seen,15HP Frequency Converter Vector Three Phase.

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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 inCNC Full Enclosed Stainless Steel Fiber Laser Cutting Machine), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDoor to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse) 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.Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw. 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.High Quality Underwater Swimming Pool Light Decoration LED Lampdemonstrate 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,Home Use 6kw Grid Tied Solar Power System with High Performance[9] were tested by different statistical approaches.Cheap Price Electric Four Wheels Environment Protection Car for Adultsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale 10kw 10000W off Grid Solar Power System Home Use(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 inProfessional Circle Shell Shape Makeup Brush.

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Cost model for variable-4kw 3phase Frequency Converter 50Hz to 60Hz

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].1.5kw 3phase Frequency Converter 50Hz to 60Hz/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.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery, required air pressure, and power were considered as predictor variables simultaneously.

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Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs$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.Technical Wood Veneer MDF Boards for Cupboard, 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%)High Quality Small Metal Tin Can with Open Top Lid for Lubricant. 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.Long Using Life Shuttering Plywood with Logo for Construction. Moreover,Huihuang Bamboo Fence Timbers, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Power System Home 5kw off Grid Tied Solution, 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 (Fluid Storage Containers Lubricants for Use), maintenance (0.8t 800kg Small 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,2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults), and annual cost index of mineral processing equipment.Power Mini Electric Scooter for Lady 60V800W, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power. Maximum MAER of 13.5% and minimum R²of 0.2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult-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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