A twin water system (Figure 1a) and twin air system (Figure 1b) have recently been constructed...

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A twin water system (Figure 1a) and twin air system (Figure 1b) have recently been constructed in the ICE Lab. Fo h₁ A₁ Water Tank 1 Valve Position (V) F₁ h₂ Figure 1a: Twin Water System 8 Each system has the same input-output structure (Figure 2): Your Task A₂ Water Tank 2 G₁(s) Valve Inlet Flow Rate (F₁) G₁(s) System 1 P₁ Air Vessel 1 F₁ System 1 Output (h₁ or P₁) * Figure 1b: Twin Air System G(s) G₂(s) System 2 P₂ Figure 2: Block Diagram for the Twin System Arrangement Air Vessel 2 System 2 Output (h₂ or P₂) A valve, V, is manipulated to modify the inlet fluid flow rate, Fo, to System 1. The change in inlet fluid flow rate directly affects System 1. A change in System 1 internal conditions (water level, h₁, or air pressure, P₁) has an impact on its outlet fluid flow rate. A change in the System 1 outlet fluid flow rate directly affects System 2. A change in System 2 internal conditions (water level, h₂, or air pressure, P₂) has an impact on its outlet fluid flow rate. The twin water process is a non-interacting system, which means that the System 1 outlet flow rate is independent of System 2. The twin air process is an interacting system, which means that the System 1 outlet flow rate is influenced by both System 1 and System 2 internal conditions. The next step in the project is to commission each system. To support this process, information on the system transfer functions is sought: Gv(s), G₁(s), G₂(s) and G(s). Your help is requested. 1. Select only one of the twin systems. 2. Experimentally determine the four (4) transfer functions that define the system, as per the input- output relationship shown in Figure 2. You should use Excel to help you assess the data and carry out any calculations. 3. Verify your transfer functions by simulating them in Simulink and comparing your simulation results with your experimental data. 4. Some information to note: a. You may need to carry out more than one experiment to understand the relationships between the key variables. b. The transfer function for any given system may be distinct for a given set of process conditions. Be sure to explain any assumptions you make. C. The commissioning team wants to keep the complexity to a minimum. For each system, only consider pure gain, first-order or first-order-plus-time-delay transfer function models. Do not consider higher-order transfer function models. A twin water system (Figure 1a) and twin air system (Figure 1b) have recently been constructed in the ICE Lab. Fo h₁ A₁ Water Tank 1 Valve Position (V) F₁ h₂ Figure 1a: Twin Water System 8 Each system has the same input-output structure (Figure 2): Your Task A₂ Water Tank 2 G₁(s) Valve Inlet Flow Rate (F₁) G₁(s) System 1 P₁ Air Vessel 1 F₁ System 1 Output (h₁ or P₁) * Figure 1b: Twin Air System G(s) G₂(s) System 2 P₂ Figure 2: Block Diagram for the Twin System Arrangement Air Vessel 2 System 2 Output (h₂ or P₂) A valve, V, is manipulated to modify the inlet fluid flow rate, Fo, to System 1. The change in inlet fluid flow rate directly affects System 1. A change in System 1 internal conditions (water level, h₁, or air pressure, P₁) has an impact on its outlet fluid flow rate. A change in the System 1 outlet fluid flow rate directly affects System 2. A change in System 2 internal conditions (water level, h₂, or air pressure, P₂) has an impact on its outlet fluid flow rate. The twin water process is a non-interacting system, which means that the System 1 outlet flow rate is independent of System 2. The twin air process is an interacting system, which means that the System 1 outlet flow rate is influenced by both System 1 and System 2 internal conditions. The next step in the project is to commission each system. To support this process, information on the system transfer functions is sought: Gv(s), G₁(s), G₂(s) and G(s). Your help is requested. 1. Select only one of the twin systems. 2. Experimentally determine the four (4) transfer functions that define the system, as per the input- output relationship shown in Figure 2. You should use Excel to help you assess the data and carry out any calculations. 3. Verify your transfer functions by simulating them in Simulink and comparing your simulation results with your experimental data. 4. Some information to note: a. You may need to carry out more than one experiment to understand the relationships between the key variables. b. The transfer function for any given system may be distinct for a given set of process conditions. Be sure to explain any assumptions you make. C. The commissioning team wants to keep the complexity to a minimum. For each system, only consider pure gain, first-order or first-order-plus-time-delay transfer function models. Do not consider higher-order transfer function models.

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