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Analysis of a fluid power system with the use of a mathematical model can provide much useful information for good design and safety of a machine. Analysis of a system may cover flow distribution, component operation, or a combination of both. A method is described in this paper, that allows inclusion of all aspects of a fluid system in a single mathematical model. The method may be used to predict circuit flow division simultaneously with component behavior.

The success of agricultural and construction machinery owes a great deal to the effective use of fluid power. Most fluid power systems are configured with a positive displacement fluid pump that is large enough to meet the flow requirements of many work circuits. Different work functions require a variety of fluid flow and pressure values to provide the desired operation. System branches, therefore, must include specialized flow and pressure regulating valves. The development of a mathematical model of a fluid flow control valve follows.

The success of mobile construction machinery owes a great deal to the proper use of hydraulic power. Hydraulic power systems are usually configured with a positive displacement hydraulic pump. Different work functions require a variety of hydraulic flow and pressure values to provide the desired operations. System branches, therefore, must include a variety of specialized flow and pressure regulating valves. The correct configuration of these valves can be accomplished by building and testing variations of a valve until desired conditions are achieved. However, since machinery build programs are expensive; the use of mathematical modeling of a fluid power component is often well worth the time required to establish the model. Use of the model to study the operation of a component will then lead to fewer hours of shop testing. This example discusses the design and mathematical model of a pressure control valve that provides priority to selected circuits on a mobile machine.