How to force ngModel update when value did not change?

I want to limit number input to 0-100 range, but on input, not during validation. I'm using ngModel to bind value and emitt change event:

<input [ngModel]="value" (ngModelChange)="validate($event)" />

And then check if value exceeds given limits:

public validate(value) {
    if (value > 100)
        this.value = 100;
    if (value < 0)
        this.value = 0;
}

And this partialy works. However if I say try to input 150 and value will switch to 100, I can then input anything over 100, because model value remains 100, and so input value is not updated. Is there any way to manually force this update?

EDIT: I missed quite important bit here. This behaviour seems to only occur to input with type=number. Text input wont exceed 100. My workaround is as Faisal suggested using keypress event with preventDefault like so:

public keyPress(event) {
    let inputChar: number = +String.fromCharCode(event.charCode);
    if (this.value + inputChar > 100 || this.value + inputChar < 0) {
        // Exceeded limits, prevent input
        event.preventDefault();
    }
}

Use a regular expression to limit the user input.

Here is the html code for your input:

<input [(ngModel)]="value" 
       (keypress)="keyPress($event)"
       (ngModelChange)="validate($event)"  
        maxlength=3 />

.. and typescript code:

keyPress(event: any) {
    const pattern = /[0-9]/;
    let inputChar = String.fromCharCode(event.charCode);

    if (!pattern.test(inputChar)) {
        // invalid character, prevent input
        event.preventDefault();
    }
}

validate(value:number) {
    if(value>100) {
        this.value=100;
    }
}

Here is a working plunker: Plunker DEMO