Archive for diciembre, 2022

Determining the necessary area of photovoltaic solar panels to be able to feed a demand is something to evaluate considering that both the demand and the energy source (the Sun) vary in their behavior. The total solar cells area required to supply the load demand can be calculated from the following equation shown in the figure of this post where \F_{s} is the safety factor which includes the possible allowance of insolation data inaccuracy, \V_{F} is the factor of variability which considers the impact of yearly radiation variation. \P_{L} is the power demand, \H_{t} is the solar irradiation and \n_{c} is the efficiency of the photovoltaic solar panel.

Dr. Jorge Luis Mírez Tarrillo
Group of Mathematical Modeling and Numerical Simulation (GMMNS).
Universidad Nacional de Ingeniería. Lima, Perú.
E-mail: jmirez@uni.edu.pe
Website Personal: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
MATLAB Group Admin in Facebook: https://www.facebook.com/groups/Matlab.Simulink.for.All
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Good morning readers, solar energy is an interesting topic and knowing how efficient its capture is interesting to model and simulate. The hourly generating efficiency of the PV system (calculated in percentage) can be obtained in terms of the cell temperature as shown in the following equation shown in the figure of this post, where \beta_{t} is the temperature coefficient, μcr and \T_{cr} are the theoretical solar cell efficiency and temperature at solar radiation flux of 1000 W/m2, respectively, \lambda is the Ross coefficient, \T_{a} is the ambient temperature and \H_{t} is the solar radiation on tilted surface. Note: All the simulation images in this blog have been developed in Matlab/Simulink, the codes are for sale, as well as the thesis and research advisory service. Best regards.

Dr. Jorge Luis Mírez Tarrillo
Group of Mathematical Modeling and Numerical Simulation (GMMNS).
Universidad Nacional de Ingeniería. Lima, Perú.
E-mail: jmirez@uni.edu.pe
Website Personal: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
MATLAB Group Admin in Facebook: https://www.facebook.com/groups/Matlab.Simulink.for.All
WhatsApp Channel/Canal: https://whatsapp.com/channel/0029VbCvpZsAYlUSz2esek2y

This post has to do with programming and simulating the power curve of a wind turbine and for example I have considered a capacity of 10 MW, with a starting speed of 3 m/s, a nominal speed of 10 m/s and a cutting speed of 25 m/s approx. The output power of wind turbine is described in terms of wind speed from the typical power curve characteristics of the windturbine as it is show in figure of the present post, where, Pw is the wind turbine output power, Pr is the rated output power of WT, u_c is the cut-in wind speed, u_r is the rated wind speed, and u_f is the cut-off wind speed.

Dr. Jorge Luis Mírez Tarrillo
Group of Mathematical Modeling and Numerical Simulation (GMMNS).
Universidad Nacional de Ingeniería. Lima, Perú.
E-mail: jmirez@uni.edu.pe
Website Personal: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
MATLAB Group Admin in Facebook: https://www.facebook.com/groups/Matlab.Simulink.for.All
WhatsApp Channel/Canal: https://whatsapp.com/channel/0029VbCvpZsAYlUSz2esek2y

Wind resources and the electric power output from wind turbine at a particular location depend on wind speed at the hub height, the wind turbine speed characteristics. Wind speed at the hub height of wind turbine is calculated by the power law equation using the wind speed data collected at the anemometer height as the equation in figure where, u(h) and u(hg) are wind speeds at hub height (h ) and anemometer height (hg), respectively, and Greek letter alpha is the roughness factor considered as 1.0 and 1.4 for this post. In this simulation hg = 10 meters and u(hg) = 10 m/s. This simulation is the result of the implementation of the mathematical model in Matlab.

Dr. Jorge Luis Mírez Tarrillo
Group of Mathematical Modeling and Numerical Simulation (GMMNS).
Universidad Nacional de Ingeniería. Lima, Perú.
E-mail: jmirez@uni.edu.pe
Website Personal: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
MATLAB Group Admin in Facebook: https://www.facebook.com/groups/Matlab.Simulink.for.All
WhatsApp Channel/Canal: https://whatsapp.com/channel/0029VbCvpZsAYlUSz2esek2y

Dear readers, I show you a new simulation using Matlab in the next post. The induced voltage in the coils of a transformer is related to the frequency and the magnetic flux that passes through it. These, beyond the ideal calculation of being constant values, have small variations due to multiple factors, and therefore, lead to the fact that the induced voltage naturally has a slightly variable behavior over time. These changes involve transient processes of energy flow and exchange that can be simulated with Matlab/Simulink creating the appropriate study scenarios. Share my blog. Best regards.

Dr. Jorge Luis Mírez Tarrillo
Group of Mathematical Modeling and Numerical Simulation (GMMNS).
Universidad Nacional de Ingeniería. Lima, Perú.
E-mail: jmirez@uni.edu.pe
Website Personal: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
MATLAB Group Admin in Facebook: https://www.facebook.com/groups/Matlab.Simulink.for.All
WhatsApp Channel/Canal: https://whatsapp.com/channel/0029VbCvpZsAYlUSz2esek2y

The famous transformation ratio in a power transformer is shown to be an easy algebraic relationship to learn and understand, however, the usual voltage variations involve changes in the electromotive forces that occur inside the coils. The image shows an emulation of such changes with voltage variations within the range allowed by technical standards.

Dr. Jorge Luis Mírez Tarrillo
Group of Mathematical Modeling and Numerical Simulation (GMMNS).
Universidad Nacional de Ingeniería. Lima, Perú.
E-mail: jmirez@uni.edu.pe
Website Personal: https://jorgemirez2002.wixsite.com/jorgemirez
Facebook http://www.facebook.com/jorgemirezperu 
Linkedin https://www.linkedin.com/in/jorge-luis-mirez-tarrillo-94918423/
Scopus ID: https://www.scopus.com/authid/detail.uri?authorId=56488109800
Google Scholar: https://scholar.google.com/citations?user=_dSpp4YAAAAJ
MATLAB Group Admin in Facebook: https://www.facebook.com/groups/Matlab.Simulink.for.All
WhatsApp Channel/Canal: https://whatsapp.com/channel/0029VbCvpZsAYlUSz2esek2y

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