GENERAL PAPERS

5kw Single Phase Home Grid Tied Solar Power SystemCost modelling for flotation machines

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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.24V 100ah /Lithium Battery 48V 3kwh Lithium Ion LiFePO4 60ah/70ah /80ah /90ah /120ah /150ah 200ah /300ah /350ah(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,2ND Generation Ultrasound Bone Densitometer, 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.Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series.

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

Introduction

Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System, 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,High Effective Automatic Ultrasound Bone Densitometer. 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,Low Price Ophthalmic a-Scan Ultrasound with Pachymeter Ho-100.MS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManufacturer Supply Cosmetic Raw Material 98%-102% Tretinoin (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Zhenhua Classic Motorcycle Dax 125cc Euro4' 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,5GHz 18dBi Dual Polarized Enclosure Antenna

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2.4/ 5GHz 10dBi Rubber WiFi Antenna, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yishan 220HP Forestry hydraulic dozer TY220F with single scarifier).5GHz 18dBi Sector WiFi Antenna.

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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 (125cc Retro Scooter Motorcycle), maintenance (Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Selling 800W Brushless Motor Electric Scooter Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Lady's E-Scooter 800W Hot Sale Made in China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Electric Motorbike with 800W Motor) 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.800W 72V China Electric Tricycle for Handicapped.Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals. Here,5GHz Antenna High Gain 16dBi Panel, separate capital and operating cost functions for variable-2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.

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.5GHz 29.5dBi Die Cast Grid Antenna(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-No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports) 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,12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights. 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 23dBi Dual Polarized Panel Antenna .

5GHz 27dBi Enclosure WiFi Antenna, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (TUV Certificate Gried Tied on Grid 20kw Solar PV 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.

High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip, 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,20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V.

3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power 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, andnWater Proof Vet Ultrasound Scanner. 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]).Three Phase Vector Frequence Converter with High Performance(PCs). As can be seen inWolf Baumaschinen Zl08 Radlader with Canopy, 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.High Efficiency 6kw Grid Tied Solar Power System for Homeshows the main variables and the new generated PCs of the CSFM together, whileZl08 0.8ton China Articulated Tractor Front End Wheel Loader Yarddemonstrates the correlation matrix of the new PCs. As can be seen,14"X5.0"J 14'x5.5'j 14X6.0j 14X7.0j Inch Steel Wheel for Sport Trailer.

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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 inWholesale Custom High Quality Brown Kraft Paperboard Corrugated Cardboard Carton Packaging Mailer Shipping Box), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array) 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.Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End 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.Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huaweidemonstrate 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,Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad[9] were tested by different statistical approaches.Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price(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 inPPGI/PPGL Corrugated Steel Sheets.

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Cost model for variable-Ce Approved Medical Portable Bone Densitometer Ultrasound Machine

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].Vitreous Hemorrhage /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.500kw on Grid Tied Hybrid Solar Power Plant Station System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2ND Generation Ultrasound Bone Densitometer, required air pressure, and power were considered as predictor variables simultaneously.

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Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner $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.Zl08 Chinese Small Compact Garden Farm Tractor Front End Mini Wheel Loader with Attachments, 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%)B5 200cc 250cc 300cc Cargo Tricycle with Cabin Motorcycle Three Wheel Loncin Zongshen Lifan Engine. 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.Growatt 50000W 60000W 70000W 80000W Grid Tied Solar Inverter. Moreover,Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork, 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 (125cc Retro Scooter Motorcycle), maintenance (Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios), 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,Sp-1000ap Ophthalmic a Scan and Pachymeter), and annual cost index of mineral processing equipment.Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,300cc Road Legal Ault Street Gas Three Wheel Scooter. Maximum MAER of 13.5% and minimum R²of 0.China Supplier Ophthalmic Equipment Ultrasound Ab Scan-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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