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Análisis comparativo = de consumo de energía en una estación de bombeo de agua con diferentes algorit= mos de control voltaje/frecuencia

 

Comparative analysis of en= ergy consumption in a water pumping station with different voltage/frequency con= trol algorithms

 


= 1

Richard Armando Elizalde Pin

 

https://orcid.org/0009-0003-7765-5777

 

Carrera de Ingenie= ría en Electricidad, Facultad de Ciencia de la Ingeniería y Aplicadas, Universidad Técnica de Cotopaxi (UTC), Latacunga, Ecuador.

richard.elizalde3884@utc.edu.ec

= 2

Jhon Anderson Macao Ortega

 

https://orcid.org/0009-0000-4871-0421

 

Carrera de Ingenie= ría en Electricidad, Facultad de Ciencia de la Ingeniería y Aplicadas, Universidad Técnica de Cotopaxi (UTC), Latacunga, Ecuador.

jhon.macao5759@utc.edu.ec

= 3

Secundino Marrero Ramírez

 

http://orcid.org/0000-0001-5161-545X

 

Carrera de Ingenie= ría en Electricidad, Facultad de Ciencias de la Ingeniería y Aplicadas, Universidad Técnica de Cotopaxi (UTC), Latacunga, Ecuador.

secundino.marrero@utc.edu.ec

 

 

 

Artículo de Investigación Científica y Tecnológica

Enviado: 21/03/2024

Revisado: 18/04/2024

Aceptado: 30/05/2024

Publicado:05/06/2024

DOI: https://doi.org/10.33262/ap.v6i2.2.488        

<= span style=3D'font-size:12.0pt;line-height:115%;font-family:"Times New Roman",= serif; mso-fareast-font-family:Calibri;color:blue'> 

 

 

Cítese:

 

 

Elizalde Pin, R. A., Macao Ortega, J. A., & Marrero Ramírez, S. (2024). Anális= is comparativo de consumo de energía en una estación de bombeo de agua con diferentes algoritmos de control voltaje/frecuencia. AlfaPublicaciones, 6(2.2), 48–67. https:/= /doi.org/10.33262/ap.v6i2.2.488

 

 

 

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Palabras claves:

Control escala= r, V/f, consumo y caudal

 

Resumen

Introducción: e<= /span>l propósito de este trabajo es presentar alternativas que permitan reducir = el consumo de potencia eléctrica en una estación de bombeo mediante los diferentes algoritmos de control para incrementar la eficiencia en los sistemas de abasto de agua de riego al menor costo posible. Durante las diferentes pruebas efectuadas con algoritmos V/f, el control cuadrático en lazo abierto presentó un mejor rendimiento en términos de consumo de pote= ncia para diferentes caudales. El estudio empleo métodos de investigación que incluye la recolección de información, análisis inductivo-deductivo y mediciones para evaluar los impactos en el consumo de potencia entre los diferentes algoritmos que se utilizaron, donde los resultados destacan qu= e el control V/f cuadrático presenta una mayor confiabilidad en relación con la respuesta a perturbaciones. Este resultado no solo mejora el rendimiento = del sistema, sino que también puede tener beneficios sustanciales en términos= de costos operativos y sostenibilidad a largo plazo. Objetivo: evalua= r el desempeño de diferentes algoritmos de control V/f para determinar su eficiencia en relación con la demanda de potencia en instalaciones de bom= beo de riego a lazo abierto para reducir la complejidad y costo de sistema. <= b>Metodología: es una invest= igación aplicada y de campo con carácter cuantitativo y exploratorio, donde se hace la recopilación de datos obtenidos con procedimientos experimentales en una instalación de bombeo que permite evaluar diferentes tipos de control V/f con el uso de técnicas como la observación y el estu= dio causal comparativo, para establecer tendencias de consumo de energía con = la aplicación del método inductivo para diferentes caudales de trabajo de una bomba centrífuga. Resultados: las pruebas realizadas en la estació= n de bombeo con diferentes algoritmos V/f de un variador de velocidad, revelan= que el control cuadrático destaca por su eficiencia en el consumo de potencia= y su capacidad para responder de manera más efectiva ante perturbaciones, además la reducción de caudal presenta una menor incidencia en el deterio= ro del factor de potencia en comparación con los otros controles evaluados. = El error en estado estacionario en la respuesta de los controladores resulto similar y aceptable en todos los casos, pero la respuesta del algoritmo cuadrático es más rápida y al ser esto escalado a una instalación de bomb= eo de riego con flujo variable, ello conlleva a una reducción significativa = del consumo de energía. Conclusión. el modo de control V/f cuadrático = del variador SIEMENS 420 debido a su menor consumo de potencia y su capacidad para mejorar el rendimiento del sistema de bombeo y tiempo de respuesta p= uede ser utilizado en estaciones de abasto de riego con caudal variable, donde= su implementación puede maximizar su eficiencia y reducir los costos operati= vos y de implementación, lo que hace de esto una opción favorable para el siste= ma de bombeo en instalaciones de riego en campos de múltiples invernaderos c= on diferentes requerimientos de caudal. Área de estudio general: Elec= tricidad. Área de estudio específica: Automatización y control. Tipo de estudio:  Artículos originales.

 

 

Keywords: Scalar control, V/consumption, and flow rate

 

Abstr= act

Introduction. the purpose of this work is to present alternatives to reduce the electrical power consumption in a pumping station by means of different control algorithms to increase the efficiency of irrigation water supply systems = at the lowest possible cost. During the different tests conducted with V/f algorithms, the open-loop quadratic control presented a better performanc= e in terms of power consumption for different flow rates. The study employed research methods including data collection, inductive-deductive analysis,= and measurements to evaluate the impacts on power consumption between the different algorithms used, where the results highlight that the quadratic= V/f control presents a higher reliability in relation to the response to disturbances. This result not only improves system performance but can al= so have substantial benefits in terms of operating costs and long-term sustainability. Objective. evaluate the performance of different V= /f control algorithms to determine their efficiency in relation to power dem= and in open-loop irrigation pumping installations to reduce system complexity= and cost. Methodology. i<= span lang=3DEN-US style=3D'font-size:12.0pt;line-height:115%;font-family:"Time= s New Roman",serif; mso-ansi-language:EN-US'>t is an applied and field research with quantita= tive and exploratory character, where the data collection obtained with experimental procedures in a pumping installation that allows to evaluate different types of V/f control with the use of techniques such as observa= tion and comparative causal study, to establish trends in energy consumption w= ith the application of the inductive method for different working flows of a centrifugal pump. Results. th= e tests performed in the pumping station with different V/f algorithms of a variable speed drive, reveal that the quadr= atic control stands out for its efficiency in power consumption and its abilit= y to respond more effectively to disturbances, also the flow reduction has a l= ower impact on the deterioration of the power factor compared to the other controls evaluated. The steady state error in the response of the control= lers was similar and acceptable in all cases, but the response of the quadratic algorithm is faster and when scaled to an irrigation pumping installation with variable flow, this leads to a significant reduction in power consumption. Conclusion. t<= span lang=3DEN-US style=3D'font-size:12.0pt;line-height:115%;font-family:"Time= s New Roman",serif; mso-ansi-language:EN-US'>he V/f quadratic control mode of the SIEMENS 420 drive due to its lower power consumption and its ability to improve pumpi= ng system performance and response time can be used in irrigation supply stations with variable flow rate, where its implementation can maximize efficiency and reduce operating and implementation costs, making it a favorable option for pumping system in irrigation installations in multip= le greenhouse fields with different flow rate requirements.

 

 

<= o:p> 

<= o:p> 

Introducción<= /b>

Un elemento considerable= en los costes de explotación de los sistemas de riegos a presión constante se relaciona con el consumo de potencia en sus sistemas de elevación del fluid= o. Por ello la reducción de dicho consumo contribuye a la sostenibilidad ambie= ntal y competitividad del suministro de agua. Entonces para poder reducir la pot= encia consumida, se puede adaptar la altura de elevación del bombeo a la que dema= nda la red por medio de la variación de las velocidades de rotación en las bomb= as y esta variación de rotación se puede realizar con controladores PI y PID en = los convertidores de frecuencia (<= span style=3D'font-size:12.0pt;line-height:115%;font-family:"Times New Roman",se= rif'>Rodríguez-Castellanos & Cote-Ballesteros, 2019; Inga, 2019). Si además de esto se utiliza un sensor de presión o caudal, pueden regular automáticamente la altura de elevación al valor de consigna introdu= cida en la programación del sistema, considerando que el sistema trabaje con el mejor rendimiento posible.

Entonces, los algoritmos= de control en estaciones de bombeo juegan un papel fundamental en la mejora de= la eficiencia y la disminución de costes operativos en diversas aplicaciones. = El control voltaje frecuencia (V/f) presenta un diseño simple y trae consigo ventajas = en el rango de velocidad media a alta. Con este método la tensión de alimentac= ión varia proporcionalmente a la frecuencia (Anyun, 2022), y cuando la relación voltaje frecuencia es constante el motor funciona con un caudal aproximadamente constante en régimen permanente. La proporcionalidad V/f desaparece en bajas frecuencias, además la característica de la curva del p= ar depende también de la frecuencia del rotor y de su temperatura (Echeverri et al., = 2023). Con el control escalar se puede obtener una regulación satisfactoria en lazo abierto cuand= o el motor trabaja a valores estables del par, sin muchos requerimientos de la velocidad. Cuando la aplicación requiere una respuesta dinámica rápida, con exactitud en la velocidad o el control del par es necesario operar el motor= en lazo cerrado. Los motores eléctricos desempeñan un papel crucial al transfo= rmar la energía eléctrica en energía mecánica, siendo fundamentales para el movimiento de diversos equipos. Se conectan a instalaciones eléctricas trifásicas y pueden ser de inducción o asincrónicos (MET) (Farina, 2018). El motor de inducción es una de las máquinas eléctricas más utilizadas en aplicaciones industriales por su simplicidad, fiabilidad, bajo costo y debido a que prácticamente no requiere mantenimiento (Escobar-Sandoval et a= l., 2020). Existen dos tipos de rotores presentes e= n el motor de inducción, el rotor jaula de ardilla y el rotor bobinado, siendo el primero el más utilizado a nivel industrial. El auge en la utilización del motor de inducción en nuevos campos se debe al avance en la electrónica de potencia y al desarrollo de algoritmos de control. Los variadores de frecue= ncia son dispositivos que se alimentan de la red de suministro eléctrico y gener= an corriente alterna de diferente frecuencia, normalmente para accionar motore= s de inducción a velocidad variable, estos convertidores toman la tensión en la = red, luego se rectifica este voltaje y mediante inversores la corriente directa = (DC) se trasforma nuevamente a corriente alterna (AC), cuya magnitud y frecuencia pueden ser definidas (López et al., 2018; Lyu, 2023)= .

Un campo donde se requie= re el manejo de distintas velocidades del motor ante diferentes caudales de la bomba, es en los sistemas de riego, donde una misma instalación de bombeo d= ebe atender distintos invernaderos que pueden tener dimensiones y secciones  diferentes, pero si se utiliza una sola= bomba con una potencia que cubre la mayor demanda, entonces ante requerimientos de caudales inferiores al nominal es necesario regular el caudal, sin tener que establecer un retorno o colocar bombas en paralelos; que conjuntamente con = el beneficio de la redundancia y las posibilidades de tener diferentes caudale= s, podrían generar inconvenientes como el desequilibrio en la distribución del caudal entre ellas. También, en el uso de bombas en paralelo, cuando no se realiza con un adecuado diseño y mantenimiento del sistema, unas bombas pod= rían trabajar más que las otras, lo que trae consigo un desgaste prematuro o un = mal funcionamiento de estas, además de representar un mayor consumo de potencia= y el incremento de los costos de operación <= /span>(Sun<= /span>, 2019).

La eficiencia en la operación de la bomba se define a través de su rendimiento, que establece cuanta potencia eléctrica se necesita para producir una potencia hidráulica= durante la impulsión del líquido, la que se ve afectada por las pérdidas de energía= en el sistema.

Cuando se realiza el cam= bio de velocidad en la máquina hidráulica para poder analizar el comportamiento= de la altura teórica de Euler en ella y establecer su nuevo modelo de comportamiento, es necesario considerar los criterios de semejanza geométri= ca, cinemática y dinámica, con vistas a poder obtener la máquina modelo en rela= ción con la máquina prototipo utilizada. Si se logran cumplir estos tres criteri= os de semejanza se dice que estamos en presencia de semejanza absoluta. Pero si solo se cumple la semejanza geométrica y cinemática, entonces el modelo presenta una semejanza restringida debido a la dificultad que se origina producto del cambio de velocidad de rotación cuando se cambia la geometría = de la máquina, aspecto que se relaciona con la semejanza dinámica (Roca= mora et al., 2020).

La presente investigació= n ha consistido en la evaluación del desempeño de los diferentes algoritmos de control V/f más utilizados en los variadores de velocidad comerciales, con vistas a determinar su eficiencia en el control y el consumo de potencia cu= ando es utilizado en una instalación de bombeo de agua en el riego a lazo abierto para evitar el uso de sensores en la realimentación que incrementarían la complejidad y el costo de sistema.

Metodología

La altura manométrica y el caudal de una bomba varían según la velocidad de rotación, dependiendo esta variación de las leyes de semejanza que pueden s= er aplicadas para obtener el modelo del nuevo comportamiento de la máquina a partir del criterio α que establece la relación de velocidades en la ecuación (1).

Donde α es la relación entre la nueva velocidad de giro (n1) y la velocidad = de giro nominal de la máquina (n0). A su vez el valor de α se relaciona c= on el caudal Q1 para la velocidad n1 y el caudal nominal (Q0) de la velocidad nominal n0 a través de la ley de caudal de la ecuación (2) y la ley de altu= ra H establece el valor de α2   por= medio de la ecuación (3).

Despejando la altura H1 de la ecuación (3) se obtiene la ecuación (4) que permite construir la curva de motriz de la bomba. En la figura 1 se muestra un ejem= plo con relación al punto homólogo P1(0.04, 42.8) de la intersección entre la c= urva de la bomba encontrada para la nueva velocidad (n1) y la curva de la red modificada (mostrada en color rojo) para el caso donde α =3D (0.04/0.0= 456) =3D 0.877. El punto Po (0.05, 50) es la intersección entre la curva de la bomba= y de la red a velocidad nominal (n0). De la misma manera se observa el comportamiento del rendimiento para la nueva velocidad n1 que presenta una caída anticipada en el extremo derecho (Ro= camora et al., 2020).

Figura 1

  = Curva de la bomba y su rendimiento con la variación del caudal ante cambios de rp= m 

Nota: Adaptado de Manual de auditorías energéticas en comunidades de regantes, por Rocamora et al= . (2020).

El resultado de un grupo de ensayos realizados por Rocamora et al. (2020), en una bomba centrifuga para diferentes velocidades (rpm), observándose la variación de la altura, potencia y rendimiento para diferentes caudales (Q), donde a medida que disminuye la velocidad se aprec= ia una reducción de la altura, potencia y una caída anticipada del rendimiento. Este comportamiento de la bomba debe ser considerado durante la aplicación = del control con el variador de velocidad para que el rendimiento de esta no se deteriore significativamente, lo que sin dudas reduce el intervalo de regulación posible a utilizar.

Para velocidades superiores, en valores cercanos al 10 % de la velocidad nominal= , es correcto considerar la aproximación de que el caudal en la máquina depende únicamente del cociente V/f, pero si se desea mantener el caudal nominal de= la máquina (trabajar a par nominal) en todo el rango de frecuencias, entonces = se debe mantener constante en el valor nominal el cociente V/f. Mientras que, a bajas velocidades esta aproximación se pierde progresivamente y comienza a cobrar mayor importancia la caída de tensión en la resistencia del estator;= por lo que, se origina una progresiva disminución del caudal en la máquina y disminuye la capacidad de producción del par. Para evitar que esto ocurra se puede sumar un valor constante a la tensión calculada a partir de la veloci= dad.

El control escalar (VVC) en lazo abierto, si bien resulta ser un método de con= trol sencillo y económico, sus prestaciones son reducidas. Esto hace que el mismo sea adecuado para aquellas aplicaciones industriales que toleran pequeñas variaciones de velocidad, o de flujo en el entrehierro, y que no requieran = una respuesta rápida. Una limitante de esta técnica es el margen de variación de velocidad que resulta reducido, y ello se debe a que el mantener constante = la relación V/f, existe una influencia de la resistencia óhmica de los devanad= os que son independientes de la frecuencia. Para la solución de esta dificulta= d a frecuencias bajas, se puede aumentar un poco más la tensión, o mejor hacerl= o en proporción al consumo y la resistencia de los devanados. En algunos inverso= res se permite seleccionar la relación tensión/frecuencia en función de la carga mecánica para mejor el desempeño del controlador (Andrade-Cedeño & Pérez-Rodríguez, 2021).

Además del control PI, PID y el escalar mencionado anteriormente, existen otras configuraciones presentes en los variadores de velocidad que también se realizan con el control V/f. Estas técnicas se han desarrollado en las últi= mas décadas con nuevos dispositivos y algoritmos de control, que le permiten te= ner a los motores asíncronos un comportamiento dinámico y nivel de precisión en= el control que es similar a los motores de c.c. Es así como ha surgido el méto= do de control vectorial, que tiene en cuenta la fase y utiliza un modelo compl= ejo del motor que presenta la orientación del campo magnético, ello le permite actuar mejor sobre el par durante los transitorios para obtener mejores prestaciones dinámicas sobre todo en los casos que se requiere conocer con mayor precisión la posición del rotor.

Entre las técnicas más recientes se encuentra el control directo del par (Direct torque control, DTC) que presenta un inversor dentro del modelo que le perm= ite tener respuestas mucho más rápidas, donde se controla directamente la ampli= tud y el ángulo del vector tensión, así como la frecuencia, debido a ello se considera superior al control escalar normal.

También es utilizada la variación de tensión y frecuencia siguiendo una ley cuadrát= ica, que es generalmente asociada al control de bombas centrífugas y ventiladores que presentan un par que varía con el cuadrado de la velocidad; donde el control de velocidad se rige por la ley de variación de tensión y frecuencia del convertidor, con un ajuste a las características indicadas, para que el= par motor se adapte al par exigido. Otra técnica de control utilizada es la variación de velocidad por reducción de caudal, también conocida como debilitamiento de campo o a potencia constante, donde se varia la frecuencia por encima del valor en que se alcanza la tensión nominal de la red, considerando que a partir de ese punto la tensión ya no puede seguir crecie= ndo, como resultado en esta zona el flujo en el entrehierro decrecerá paulatinam= ente con el incremento de frecuencia. Esto origina que el par máximo de la curva par-velocidad, decrezca en función de la frecuencia. Entonces para evaluar = la eficiencia en el sistema de control de bombeo es fundamental llevar a cabo = una investigación con los diferentes algoritmos de control antes mencionados (García et al., 2022).

 En el desarrollo de l= os ensayos en el módulo de laboratorio serán considerados los siguientes contr= oles V/f:

= •      =             &nb= sp;  Control V/f lineal

= •      =             &nb= sp;  Control V/f con FCC<= /p>

= •      =             &nb= sp;  Control V/f cuadrático

         = ;            Control V/f Multipunto

Durante las pruebas se analizarán detalladamente los datos de consumo de potencia, proporcionando así la base necesaria para implementar mejoras significativa= s en la eficiencia del consumo de potencia y el caudal del sistema de bombeo lue= go de realizar un conjunto de observaciones durante ensayos de la bomba. Media= nte la experimentación, el método de medición y el estudio causal comparativo se verifican los datos obtenidos del analizador de redes FLUKE 435 – II relacionados con el consumo de potencia para asegurar la confiabilidad y exactitud de la información obtenida luego de realizar las diferentes repeticiones de las pruebas en las condiciones seleccionadas para los experimentos ante distintas variaciones de caudal. Mediante el método de análisis se determinó que tipo de controlador es más eficiente en términos = de consumo de potencia para los diferentes tipos de control V/f. En la figura 2 se pue= de apreciar los materiales y conexión utilizados para las respectivas pruebas = en un banco de ensayos y en la tabla 1 se detallan las características del mot= or de la bomba.

Tabla 1

Características del motor

Características del motor trifásico A.C. de la bomba

Tipo de motor

Pn; [Kw]

Un; [V]

In; [A]

Conexión

N; r.p.m.

F. P

CRT100/00

0,74

252

4,15

Δ

3400

0,85

 

En los experimentos se utilizó un variador SIEMENS 420 con salidas analógicas (0-20Ma), 6 entradas digitales NPN/PNP aisladas y conmutables, 2 entradas analógicas: AIN1:0-10V,0-20 mA y -10a+ 10V, AIN2: 0-10V,0-20 mA. Un analiza= dor de redes FLUKE 435–II, que se utilizó con la norma EN50160 para las medicio= nes correspondientes de las variables eléctricas en el sistema es energizado por medio de un breaker de 50 A trifásico. Cada una de las pruebas se repitiero= n 5 veces en las diferentes condiciones a evaluar, de las cuales se tomó el resultado promedio para hacer la comparación en eficiencia en el control y consumo de potencia. Se llevaron a cabo pruebas sin la presencia de perturbaciones a diferentes frecuencias 100 %, 90 % 80 % y 70 %, para compa= rar el consumo de potencia en los diferentes caudales de la bomba. Y luego se realizaron perturbaciones de tipo escalón y pulso para comparar la respuesta del controlador atendiendo al tiempo pico, tiempo asentamiento, error en es= tado estacionario y el sobre impuso que nos va a permitir evaluar la eficiencia = de cada control ante perturbaciones relacionadas con la variación de presión e= n la red.

Figura 2

Conexión del sistema para los experimentos

Resultados

Comportamiento de la potencia y caudal con los algoritmos de control sin presencia de perturbaciones

 En la tabla 2 se mues= tran los resultados obtenidos en las pruebas para diferentes valores de variacio= nes de velocidad (%) y tipos de control V/f, donde se evidencia que en la prueba del 100 % presenta una potencia de 512,72 w y un caudal constante de 99 l/m= in, en la prueba del 90 % el control V/f cuadrático tiene una potencia de 457,5= w con un caudal de 63 l/min, en la prueba del 80 % la potencia es de 330 w pa= ra un caudal constante de 76 l/min, y en la prueba del 70 % se tiene una poten= cia de 215,45 w para un caudal constante de 63 l/min. En términos generales dur= ante los diferentes tipos de prueba, el control V/f cuadrático presenta una menor potencia para el mismo caudal, por ende, tiene un menor consumo de energía = tal como lo mencionan en sus experimentos, autores como Schofield (2022) y WalkerPumps= .com (2022).

Tabla 2

Potencia y caudal de los diferentes algoritmos de control sin perturbación

Prueba sin perturbación de los diferentes tipos de control

Potencia (w)

Caudal (l/min)

Variación de frecuencia

V/f Lineal

V/f FCC

V/f Cuadrático

V/f Multipunto

Todos los controles V/f

100% (60 Hz)

99

90% (54 Hz)

450

450

447,27

457,5

87

80% (48 Hz)

76

70% (42Hz)

240

236,66

215,45

240

63

 

En la tabla 3 se presenta el factor de potencia correspondiente a los distintos algoritmos evaluados. Se destaca q= ue, conforme la frecuencia disminuye, se observa una tendencia en la disminución del factor de potencia en todos los casos analizados y por ende una reducci= ón de la eficiencia en el uso de la energía.

Tabla 3

Factor de potencia de= los diferentes algoritmos de control

Factor de potencia

Variación de frecuencia

V/F Lineal=

V/F FCC

V/F Cuadrático<= o:p>

V/F Multipunto<= o:p>

100% (60 Hz)

0,8245

0,8845

0,889

0,889

90% (54 Hz)

0,8154

0,88=

0,8872

0,8828

80% (48 Hz)

0,8081

0,7963

0,8036

0,7972

70% (42 Hz)

0,739

0,7533

0,8036

0,7445

 

No obstante, es importante resaltar qu= e el control V/f cuadrático tiene un mejor desempeño en comparación con los demás algoritmos en estas condiciones específicas como se observa en la tabla 3.<= o:p>

 

 

 

Figura 3

Curva de potencia-cau= dal

También se estableció la curva de potencia-caudal para mayor comprensión de los resultados como se aprecia en= la figura 3 en la cual están los 4 algoritmos de control siendo el control cuadrático= el que menor potencia consume.

Resultados de los algoritmos de control con perturbación pulso

En el análisis de la respuesta ante perturbaciones, las pruebas se realizan para un caudal constante de 99 l/mi= n, donde se aplicó una perturbación aproximada del 10 % en la presión del sist= ema, reduciendo el caudal a 95 l/min (ver figura 4).

Figura 4

Resultados de perturbación de pulso para los diferentes algoritmos de control<= /span>

Durante esta perturbación con un pulso= de duración de 5 segundos, se destaca el control V/f cuadrático registrando el mejor tiempo de asentamiento de tan solo 2 segundos (Ver figura 4), permiti= endo que el caudal retorne al valor de 99 l/min (ver tabla 4).

Tabla 4

Datos de los algoritm= os de control con perturbación de pulso

Resultados de las perturbaciones escalón con los diferentes algoritmos de control.

Algoritmos de control

Tiempo de asentamiento (s)

Error en estado estacionario (%)

Tiempo de Pico (s)=

V/f Lineal

3,2

 4,21

 1,4

V/f FCC

2,5

 4,21

 0,9

V/f Cuadrático

2

 4,21

 0,65

V/f Multipunto

3

 4,21

 1,1

 

El comportamiento del sobre impulso es despreciable en todos los casos y el error en estado estacionario sería inferior en perturbaciones menores a un 10 %, pero el tiempo de asentamient= o y el tiempo de pico máximo muestran mejores resultados en el control V/f cuad= rático.

Comportamiento de los algoritmos de control ante una perturbación escalón

En estas pruebas se comenzó con un cau= dal constante de 99 l/min donde se aplicó una perturbación aproximada del 10 % en la presión del sistema, reduciendo el caudal a 95 l/min (ver figura 5). <= /o:p>

 

 

 

 

 

 

 

Figura 5

Resultados de perturbación escalón para los diferentes algoritmos de control

Durante la perturbación de tipo escaló= n, se vuelve a destacar la respuesta del control V/f cuadrático, al registrar = el mejor tiempo de asentamiento de 4,5 segundos como se ve en la figura 5 y la tabla 5.

Tabla 5

Datos de los algoritm= os de control con perturbación escalón

Resultados de las perturbaciones de pulso con los diferentes algoritmos de control.<= o:p>

Algoritmos de control

Tiempo de asentamiento(s)

Error en estado estacionario (= %)

Tiempo de Pico segundos (s)

V/f Lineal

6,9

 4,21

 1,8

V/f FCC

5,8

 4,21

 1

V/f Cuadrático

4,5

 4,21

 0,8

V/f Multipunto

6,2

 4,21

1,3

 

El comportamiento del sobre impulso es despreciable en todos los casos y el error en estado estacionario a pesar de ser bastante similar, sería inferior en perturbaciones menores a un 10 %, p= ero el tiempo de asentamiento y el tiempo de pico máximo muestran mejores resultados en el control V/f cuadrático.

 

 

 

Discusión

En la prueba realizada del 100 % con un caudal constante de 99 l/min, el control V/f cuadrático tiene un ahorro de potencia de 7,27 % frente al control V /f multipunto, un ahorro de potencia= de 4,73 % frente al control V/f FCC, un ahorro de potencia 11,56 % frente al control V/f lineal.

En la prueba del 90 % con un caudal co= nstante de 87 l/min el control V/f cuadrático frente al control V /f multipunto tie= ne un ahorro de potencia de 2,28 %, también presenta un ahorro de potencia de = 0,61 % frente al control V/f FCC y control V/f lineal.

En la prueba del 80 % con un caudal co= nstante de 76 l/min el control V/f cuadrático y el control V/f FCC tienen un ahorro= de potencia de 7,43 % frente al control V /f multipunto y un ahorro de potenci= a de 9,09 % frente al control V/f lineal.

En la prueba del 70 % con un caudal constante de 63 l/min el control V/f cuadrático tiene un ahorro de potencia= de 11,39 % frente al control V /f multipunto, un ahorro de potencia de 11,39 % frente al control V/f lineal y un ahorro de potencia de 9,84 % frente al control V/f FCC.

Si escalamos estos resultados a una instalación de bombeo de un conjunto de invernaderos que en riego por goteo requieren una capacidad de bombeo del 100 % y el 70 % en una bomba de 1Hp similar a la que se ha ensayado, esto permitiría la reducción de 30 % del consumo de agua, para un ahorro de potencia de 37,97 % en un tiempo de bomb= eo de 30 minutos al día (Pardo & Casa, 20= 20). Este es un sistema que, al presentar una presión constante con caudal constante, a partir del control voltaje frecuencia se puede ajustar de forma precisa la velocidad y el par según las condiciones de carga, para poder prescindir del lazo cerrado de control que incrementaría los costos del sis= tema y resultaría más compleja su explotación al requerir la presencia de sensor= es de caudal o presión en los diferentes invernaderos.

Los resultados obtenidos en la evaluac= ión de distintos algoritmos de control han sido fundamentales para identificar = la solución óptima en el sistema de bombeo en relación con la modalidad de con= trol que sería más eficaz y con un menor consumo de potencia. El control V/f cuadrático sobresale como la opción más efectiva, tal como han indicado var= ios estudios previos (Marrero-Ramírez et al., 2023; Martínez-Lendech et al., 2017). Además, se ha constatado que dicho método conlleva a un significativo ahorro en la demand= a de potencia que se verificó en las pruebas que abarcan los diferentes algoritm= os de control en las pruebas para el 100 %, 90 %, 80 % y 70 % de capacidad de = la bomba (Galvis et al., 2021; Blanco, 2020)<= /span>.

Es importante destacar que, frente a perturbaciones externas, el algoritmo de control V/f cuadrático exhibe una notable eficiencia en cuanto a tiempos de respuesta comparado con sus contr= apartes (Rodríguez, 2023; Moreano, 201= 6). Estos hallazgos, respaldados por investigaciones previas, consolidan la posición del control V/f como la alternativa más afectiva en circunstancias consideradas para el bombeo en los sistemas de riego lazo abierto. Siendo el control V/f cuadrático quien garantiza un mejor rendimiento en condiciones normales con una capacidad aceptable para adaptarse y responder eficazmente= a perturbaciones de presión.

Conclusiones <= o:p>

= •      =             &nb= sp;  Después de haber analizado los cuatro tipos de control escalar que tiene el variador de frecuencia SIEMENS 420, e= n función del ahorro de potencia se propone el modo de control V/f cuadrático, ya que= este presenta una menor potencia consume a diferencia de los demás algoritmos evaluados. Por ello la implementación de un sistema de control V/f cuadráti= co emerge como una estrategia clave para alcanzar un mejor rendimiento y soste= nibilidad en diversos aspectos del sistema, frente a perturbaciones en las aplicacion= es de sistema de bombeo. Esta implementación tiene el potencial de maximizar la eficiencia y minimizar los costos operativos al ser de lazo abierto. Por lo tanto, es recomendable considerar seriamente la adopción de un sistema de V= /f cuadrático en el sistema de bombeo para obtener los beneficios mencionados anteriormente que se relaciona con las características de esta máquina de f= lujo.

= •      =             &nb= sp;  La implementación del control V/f cuadrático en un sistema de bombeo para riego por goteo en invernaderos per= mite un ajuste preciso de la velocidad y el par, logrando una reducción del 30 % en el consumo de agua y un ahorro de 37,97 % en potencia. Esto se consigue mediante una presión y caudal constantes sin necesidad de un lazo cerrado de control, reduce significativamente los costos y la complejidad del sistema = al eliminar la necesidad de sensores adicionales.

= •      =             &nb= sp;  El control V/f cuadrático cuando se enfrenta a perturbaciones de pulso y escalón, logró una respuesta superior = en términos de tiempo de asentamiento, permitiendo que el sistema se estabilic= e más rápidamente ante cambios repentinos en la presión del sistema. Esto se trad= uce en una capacidad de recuperación más eficiente del sistema y una menor variaci= ón en el caudal requerido que resulta aceptable para esta aplicación en partic= ular.

Conflicto de intereses<= /o:p>

Los autores declaran que no existe conflicto de intereses en relación con el artículo presentado.

 

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El artículo que se publica es de exclusiva responsabilidad de los autores y no necesariamente reflejan el pensamiento de la Revi= sta Alfa Publicaciones.

&nb= sp;

3Deditorial1.png

El artículo queda en propiedad de la revista y, por tanto, su publicaci= ón parcial y/o total en otro medio tiene que ser autorizado por el director de= la Revista Alfa Publicaciones.<= /o:p>

 

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