Proportionality

Rate of change is proportional to that of the influencing stock

Diagram

Information

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Proportionality expresses the fact that the rate of change for an influenced stock B is proportional to the net rate of change for an influencing stock A, which is connected via the stockInfoInput. The factor of proportionality k is given by the parameter coefficient. The rate of change for the stock B that is connected to the flowPort accordingly is given by the following equation, which uses Newton's dot notation for rates:

Ḃ = k · Ȧ

Implementation

DiagramView

Notes

The given coefficient can optionally be multiplied by an exogenous input u.

By setting coefficient = 1 the input u can be used to provide a variable factor of proportionality.

Parameters (3)

hasRateOutput	Value: false Type: Boolean Description: = true, if the rate is reported via real output connectors
coefficient	Value: 1 Type: InputType Description: Constant coefficient
hasFactor	Value: false Type: Boolean Description: = true, if coefficient is to be multiplied with input u

hasRateOutput

Value: false

Type: Boolean

Description: = true, if the rate is reported via real output connectors

coefficient

Value: 1

Type: InputType

Description: Constant coefficient

hasFactor

Value: false

Type: Boolean

Description: = true, if coefficient is to be multiplied with input u

Connectors (6)

	flowPort	Type: FlowPort Description: Used to represent stock and flow connections
	y	Type: RealOutput Description: Output of current rate of flow
	y1	Type: RealOutput Description: Output of current rate of flow
	stockInfoInput	Type: StockInfoInput Description: Input of record with stock-related information
	u	Type: RealInput Description: Input of factor with regard to coffeficient
	one	Type: RealInput Description: Default factor

Components (5)

	parCoefficient	Type: ConstantConverter Description: Constant coefficient (optional)
	actualCoefficient	Type: Product_2 Description: Inputs are multiplied
	absoluteSensor1	Type: AbsoluteSensor Description: Reports basic stock–related information
	linearilyChanging	Type: ExogenousChange Description: A stock is filled or drained at a given rate
	fracGrowthRate	Type: Product_2 Description: Inputs are multiplied