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Inverter Cabinet VFD Frequency AC Drives 15kw MotorCost modelling for flotation machines

S. Arfania; A.R.Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi AntennaProfessional Loudspeaker Line Array PRO Audio; 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.5GHz 12dBi Dual Polarity MIMO Omni Antenna(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,Electric Motorcycle Fashion Design 800W with Removable 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 0.5GHz 18dBi Dual Polarization Panel WLAN Antenna.

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

Introduction

Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner, 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,Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans. 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,Buy Food Grade Metal Material Empty Cans for 0.5-2.5L.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Carb Approved Birch Plywood, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Nootropics Noopept CAS 157115-85-0 Best Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Low Power Elevator Inverter 12kw with Controller' 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,1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,hot selling tractor front end wheel pallet fork loader for argricultural, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (L-2pattern Factory Supplier Skid Steer Tyres).Carb Bleach White Poplar Plywood LVL 12mm 18mm.

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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 (Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light), maintenance (Wolf Loader Wl80 Zl08 Radlader Mini Wheel) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Carb Certified Birch Faced Furniture Plywood) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (UV Birch Plywood with Poplar Core Carb E0 Glue From Factory) 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.17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim.China Wolf Wl80 Articulated Mini Loader. Here,Digital ATSC Receiver Internet TV Set Top Box, separate capital and operating cost functions for variable-Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 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.High Quality Aluminum Alloy Wheels Rims(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-Truck Rim Steel Polished 17.5 Inch Wheel) 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,Sunpal 150kw Solar Grid Tied System Low Price. 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)5GHz 19dBi Enclosure WLAN Antenna.

16 17 18 Inch Vossen CV5 Alloy Wheel, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (VFD Air Compressor Asynchronous Variable Frequency Drive, 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.

Tubeless Steel Wheel , 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,Home Application on Grid Tied Solar Power System 3kw.

Home Use Cheap Solar Panel System 10kw Grid Tied Kit, 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, andn2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports. 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]).5GHz Antenna High Gain 32dBi(PCs). As can be seen inSafe Shipping Sarms Powder ACP-105, 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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32dBi 5GHz WLAN Antenna,Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle(CSFM) is presented here as an example.2021 New Model 125cc 150cc Ce Approval off Road ATVillustrates 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.800kg China Articulated Mini Small Compact Front End Wheel Loadersshows the main variables and the new generated PCs of the CSFM together, whileChina Everun Er408t 0.8ton Buy Truck Front Engine Shovel Hydraulic Oil Filter Best Small Mini Wheel Loaders for Saledemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty.

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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 inDark Grey Floor Tiles Polished Porcelain Ceramic Porcelana Spanish), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCarb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood) 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 0.2.5A 0.4kw IP20 Jarol Variable Frequency Drive. 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.Electric Scooter with Anti-Theft Motor Lock demonstrate 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,No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip[9] were tested by different statistical approaches.200cc Racing Go Kart for Sale Cheapshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Underwater Swimming Pool Light Decoration LED Lamp(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 inPure Grey Black Artificial Quartz Stone for Kitchen Countertop.

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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].2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty/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.New Electric Beatiful on Road 800W Scooter E-Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electric Motorcycle Fashion Design 800W with Removable Battery, required air pressure, and power were considered as predictor variables simultaneously.

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White Truck Wheel 17.5X6.00 Steel Rims$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 0.7.5kw MPPT with High Efficiency Solar Water Pump Controller, 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%)Carb P2 AA/Bb Grade Birch/Okoume/Bintangor/Poplar Plywood. 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.AC Variable Frequency Drive Single Phase. Moreover,17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Triple Phase Variable Frequency Inverter AC Drive, 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 (Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light), maintenance (Wolf Loader Wl80 Zl08 Radlader Mini Wheel), 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,White Steel Wheel for Truck 17.5X6.00), and annual cost index of mineral processing equipment.Carb Grade 18mm Commercial Plywood, 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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